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Q.No: 1
Test Name : CAT Paper 2003 (R)
Directions for questions 97 and 98: Answer the questions on the basis of the information given below.
A string of three English letters is formed as per the following rules:
I. The first letter is any vowel.
II. The second letter is m, n or p.
III. If the second letter is m, then the third letter is any vowel which is different from the first letter.
IV. If the second letter is n, then the third letter is e or u.
V. If the second letter is p, then the third letter is the same as the first letter.

How many strings of letters can possibly be formed using the above rules?

A
40
B
45
C
30
D
35
Answer key/Solution
Solution:
Q.No: 2
Test Name : CAT Paper 2003 (R)
Directions for questions 97 and 98: Answer the questions on the basis of the information given below.
A string of three English letters is formed as per the following rules:
I. The first letter is any vowel.
II. The second letter is m, n or p.
III. If the second letter is m, then the third letter is any vowel which is different from the first letter.
IV. If the second letter is n, then the third letter is e or u.
V. If the second letter is p, then the third letter is the same as the first letter.

How many strings of letters can possibly be formed using the above rules such that the third letter of the string is e?

A
8
B
9
C
10
D
11
Answer key/Solution
Solution:
Q.No: 3
Test Name : CAT Paper 2003 (R)
Directions for questions 139 to 142: Answer the questions on the basis of the following information.

Four families decided to attend the marriage ceremony of one of their colleagues. One family has no kids, while the others have at least one kid each. Each family with kids has at least one kid attending the marriage. Given below is some information about the families, and who reached when to attend the marriage.

The family with two kids came just before the family with no kids.
Shanthi who does not have any kids reached just before Sridevi’s family.
Sunil and his wife reached last with their only kid.
Anil is not the husband of Joya.
Anil and Raj are fathers.
Sridevi’s and Anita’s daughters go to the same school.
Joya came before Shanthi and met Anita when she reached the venue
Raman stays the farthest from the venue.
Raj said his son could not come because of his exams.

Who among the following arrived third?

A
Shanthi
B
Sridevi
C
Anita
D
Joya
Answer key/Solution
Solution:
Q.No: 4
Test Name : CAT Paper 2003 (R)
Directions for questions 139 to 142: Answer the questions on the basis of the following information.

Four families decided to attend the marriage ceremony of one of their colleagues. One family has no kids, while the others have at least one kid each. Each family with kids has at least one kid attending the marriage. Given below is some information about the families, and who reached when to attend the marriage.

The family with two kids came just before the family with no kids.
Shanthi who does not have any kids reached just before Sridevi’s family.
Sunil and his wife reached last with their only kid.
Anil is not the husband of Joya.
Anil and Raj are fathers.
Sridevi’s and Anita’s daughters go to the same school.
Joya came before Shanthi and met Anita when she reached the venue
Raman stays the farthest from the venue.
Raj said his son could not come because of his exams.

Name the correct pair of husband and wife.

A
Raj and Shanthi
B
Sunil and Sridevi
C
Anil and Sridevi
D
Raj and Anita
Answer key/Solution
Solution:
Q.No: 5
Test Name : CAT Paper 2003 (R)
Directions for questions 139 to 142: Answer the questions on the basis of the following information.

Four families decided to attend the marriage ceremony of one of their colleagues. One family has no kids, while the others have at least one kid each. Each family with kids has at least one kid attending the marriage. Given below is some information about the families, and who reached when to attend the marriage.

The family with two kids came just before the family with no kids.
Shanthi who does not have any kids reached just before Sridevi’s family.
Sunil and his wife reached last with their only kid.
Anil is not the husband of Joya.
Anil and Raj are fathers.
Sridevi’s and Anita’s daughters go to the same school.
Joya came before Shanthi and met Anita when she reached the venue
Raman stays the farthest from the venue.
Raj said his son could not come because of his exams.

Of the following pairs, whose daughters go to the same school?

A
Anil and Raman
B
Sunil and Raman
C
Sunil and Anil
D
Raj and Anil
Answer key/Solution
Solution:
Q.No: 6
Test Name : CAT Paper 2003 (R)
Directions for questions 139 to 142: Answer the questions on the basis of the following information.

Four families decided to attend the marriage ceremony of one of their colleagues. One family has no kids, while the others have at least one kid each. Each family with kids has at least one kid attending the marriage. Given below is some information about the families, and who reached when to attend the marriage.

The family with two kids came just before the family with no kids.
Shanthi who does not have any kids reached just before Sridevi’s family.
Sunil and his wife reached last with their only kid.
Anil is not the husband of Joya.
Anil and Raj are fathers.
Sridevi’s and Anita’s daughters go to the same school.
Joya came before Shanthi and met Anita when she reached the venue
Raman stays the farthest from the venue.
Raj said his son could not come because of his exams.

Whose family is known to have more than one kid for certain?

A
Raman’s
B
Raj’s
C
Anil’s
D
Sunil’s
Answer key/Solution
Solution:
Q.No: 7
Test Name : CAT Paper 2003 (R)
Directions for questions 143 to 146: Answer the questions on the basis of the following information.
Seven faculty members at a management institute frequent a lounge for strong coffee and stimulating
conversation. On being asked about their visit to the lounge last Friday we got the following responses.

JC: I came in first, and the next two persons to enter were SS and SM. When I left the lounge, JP and
VR were present in the lounge. DG left with me.
JP: When I entered the lounge with VR, JC was sitting there. There was someone else, but I cannot remember who it was.
SM: I went to the lounge for a short while, and met JC, SS and DG in the lounge that day.
SS: I left immediately after SM left.
DG: I met JC, SS, SM, JP and VR during my first visit to the lounge, I went back to my office with JC. When I went to the lounge the second time, JP and VR were there.
PK: I had some urgent work, so I did not sit in the lounge that day, but just collected my coffee and left. JP and DG were the only people in the lounge while I was there.
VR: No comments.

Based on the responses, which of the two, JP or DG, entered the lounge first?

A
JP
B
DG
C
Both entered together
D
Cannot be determined
Answer key/Solution
Solution:
Q.No: 8
Test Name : CAT Paper 2003 (R)
Directions for questions 143 to 146: Answer the questions on the basis of the following information.
Seven faculty members at a management institute frequent a lounge for strong coffee and stimulating
conversation. On being asked about their visit to the lounge last Friday we got the following responses.

JC: I came in first, and the next two persons to enter were SS and SM. When I left the lounge, JP and
VR were present in the lounge. DG left with me.
JP: When I entered the lounge with VR, JC was sitting there. There was someone else, but I cannot remember who it was.
SM: I went to the lounge for a short while, and met JC, SS and DG in the lounge that day.
SS: I left immediately after SM left.
DG: I met JC, SS, SM, JP and VR during my first visit to the lounge, I went back to my office with JC. When I went to the lounge the second time, JP and VR were there.
PK: I had some urgent work, so I did not sit in the lounge that day, but just collected my coffee and left. JP and DG were the only people in the lounge while I was there.
VR: No comments.

Who was sitting with JC when JP entered the lounge?

A
SS
B
SM
C
DG
D
PK
Answer key/Solution
Solution:
Q.No: 9
Test Name : CAT Paper 2003 (R)
Directions for questions 143 to 146: Answer the questions on the basis of the following information.
Seven faculty members at a management institute frequent a lounge for strong coffee and stimulating
conversation. On being asked about their visit to the lounge last Friday we got the following responses.

JC: I came in first, and the next two persons to enter were SS and SM. When I left the lounge, JP and
VR were present in the lounge. DG left with me.
JP: When I entered the lounge with VR, JC was sitting there. There was someone else, but I cannot remember who it was.
SM: I went to the lounge for a short while, and met JC, SS and DG in the lounge that day.
SS: I left immediately after SM left.
DG: I met JC, SS, SM, JP and VR during my first visit to the lounge, I went back to my office with JC. When I went to the lounge the second time, JP and VR were there.
PK: I had some urgent work, so I did not sit in the lounge that day, but just collected my coffee and left. JP and DG were the only people in the lounge while I was there.
VR: No comments.

How many of the seven members did VR meet on Friday in the lounge?

A
2
B
3
C
4
D
5
Answer key/Solution
Solution:
Q.No: 10
Test Name : CAT Paper 2003 (R)
Directions for questions 143 to 146: Answer the questions on the basis of the following information.
Seven faculty members at a management institute frequent a lounge for strong coffee and stimulating
conversation. On being asked about their visit to the lounge last Friday we got the following responses.

JC: I came in first, and the next two persons to enter were SS and SM. When I left the lounge, JP and
VR were present in the lounge. DG left with me.
JP: When I entered the lounge with VR, JC was sitting there. There was someone else, but I cannot remember who it was.
SM: I went to the lounge for a short while, and met JC, SS and DG in the lounge that day.
SS: I left immediately after SM left.
DG: I met JC, SS, SM, JP and VR during my first visit to the lounge, I went back to my office with JC. When I went to the lounge the second time, JP and VR were there.
PK: I had some urgent work, so I did not sit in the lounge that day, but just collected my coffee and left. JP and DG were the only people in the lounge while I was there.
VR: No comments.

Who were the last two faculty members to leave the lounge?

A
JC and DG
B
PK and DG
C
JP and PK
D
JP and DG
Answer key/Solution
Solution:
Q.No: 11
Test Name : CAT 2019 Actual Paper Slot 1
Question Numbers (55 to 58): Answer the questions on the basis of the information given below.

The figure below shows the street map for a certain region with the street intersections marked from a through l. A person standing at an intersection can see along straight lines to other intersections that are in her line of sight and all other people standing at these intersections. For example, a person standing at intersection g can see all people standing at intersections b, c, e, f, h, and k. In particular, the person standing at intersection g can see the person standing at intersection e irrespective of whether there is a person standing at intersection f.



Six people U, V, W, X, Y, and Z, are standing at different intersections. No two people are standing at the same intersection.
The following additional facts are known.
1. X, U, and Z are standing at the three corners of a triangle formed by three street segments.
2. X can see only U and Z.
3. Y can see only U and W.
4. U sees V standing in the next intersection behind Z.
5. W cannot see V or Z.
6. No one among the six is standing at intersection d.

Who is standing at intersection a?

A
W
B
V
C
Y
D
No one
Answer key/Solution
Solution:
Q.No: 12
Test Name : CAT 2019 Actual Paper Slot 1
Question Numbers (55 to 58): Answer the questions on the basis of the information given below.

The figure below shows the street map for a certain region with the street intersections marked from a through l. A person standing at an intersection can see along straight lines to other intersections that are in her line of sight and all other people standing at these intersections. For example, a person standing at intersection g can see all people standing at intersections b, c, e, f, h, and k. In particular, the person standing at intersection g can see the person standing at intersection e irrespective of whether there is a person standing at intersection f.



Six people U, V, W, X, Y, and Z, are standing at different intersections. No two people are standing at the same intersection.
The following additional facts are known.
1. X, U, and Z are standing at the three corners of a triangle formed by three street segments.
2. X can see only U and Z.
3. Y can see only U and W.
4. U sees V standing in the next intersection behind Z.
5. W cannot see V or Z.
6. No one among the six is standing at intersection d.

Who can V see?

A
U and Z only
B
Z only
C
U only
D
U, W and Z only
Answer key/Solution
Solution:
Q.No: 13
Test Name : CAT 2019 Actual Paper Slot 1
Question Numbers (55 to 58): Answer the questions on the basis of the information given below.

The figure below shows the street map for a certain region with the street intersections marked from a through l. A person standing at an intersection can see along straight lines to other intersections that are in her line of sight and all other people standing at these intersections. For example, a person standing at intersection g can see all people standing at intersections b, c, e, f, h, and k. In particular, the person standing at intersection g can see the person standing at intersection e irrespective of whether there is a person standing at intersection f.



Six people U, V, W, X, Y, and Z, are standing at different intersections. No two people are standing at the same intersection.
The following additional facts are known.
1. X, U, and Z are standing at the three corners of a triangle formed by three street segments.
2. X can see only U and Z.
3. Y can see only U and W.
4. U sees V standing in the next intersection behind Z.
5. W cannot see V or Z.
6. No one among the six is standing at intersection d.

What is the minimum number of street segments that X must cross to reach Y?

A
1
B
4
C
3
D
2
Answer key/Solution
Solution:
Q.No: 14
Test Name : CAT 2019 Actual Paper Slot 1
Question Numbers (55 to 58): Answer the questions on the basis of the information given below.

The figure below shows the street map for a certain region with the street intersections marked from a through l. A person standing at an intersection can see along straight lines to other intersections that are in her line of sight and all other people standing at these intersections. For example, a person standing at intersection g can see all people standing at intersections b, c, e, f, h, and k. In particular, the person standing at intersection g can see the person standing at intersection e irrespective of whether there is a person standing at intersection f.



Six people U, V, W, X, Y, and Z, are standing at different intersections. No two people are standing at the same intersection.
The following additional facts are known.
1. X, U, and Z are standing at the three corners of a triangle formed by three street segments.
2. X can see only U and Z.
3. Y can see only U and W.
4. U sees V standing in the next intersection behind Z.
5. W cannot see V or Z.
6. No one among the six is standing at intersection d.

Should a new person stand at intersection d, who among the six would she see?

A
W and X only
B
V and X only
C
U and W only
D
U and Z only
Answer key/Solution
Solution:
Q.No: 15
Test Name : CAT Actual Paper 2020 Slot-1
Question Numbers (43 to 46): Answer the questions on the basis of the information given below.

Ten musicians (A, B, C, D, E, F, G, H, I and J) are experts in at least one of the following three percussion instruments: tabla, mridangam, and ghatam. Among them, three are experts in tabla but not in mridangam or ghatam, another three are experts in mridangam but not in tabla or ghatam, and one is an expert in ghatam but not in tabla or mridangam. Further, two are experts in tabla and mridangam but not in ghatam, and one is an expert in tabla and ghatam but not in mridangam.

The following facts are known about these ten musicians.
1. Both A and B are experts in mridangam, but only one of them is also an expert in tabla.
2. D is an expert in both tabla and ghatam.
3. Both F and G are experts in tabla, but only one of them is also an expert in mridangam.
4. Neither I nor J is an expert in tabla.
5. Neither H nor I is an expert in mridangam, but only one of them is an expert in ghatam.

Who among the following is DEFINITELY an expert in tabla but not in either mridangam or ghatam?

A
F
B
A
C
C
D
H
Answer key/Solution
Solution:
Q.No: 16
Test Name : CAT Actual Paper 2020 Slot-1
Question Numbers (43 to 46): Answer the questions on the basis of the information given below.

Ten musicians (A, B, C, D, E, F, G, H, I and J) are experts in at least one of the following three percussion instruments: tabla, mridangam, and ghatam. Among them, three are experts in tabla but not in mridangam or ghatam, another three are experts in mridangam but not in tabla or ghatam, and one is an expert in ghatam but not in tabla or mridangam. Further, two are experts in tabla and mridangam but not in ghatam, and one is an expert in tabla and ghatam but not in mridangam.

The following facts are known about these ten musicians.
1. Both A and B are experts in mridangam, but only one of them is also an expert in tabla.
2. D is an expert in both tabla and ghatam.
3. Both F and G are experts in tabla, but only one of them is also an expert in mridangam.
4. Neither I nor J is an expert in tabla.
5. Neither H nor I is an expert in mridangam, but only one of them is an expert in ghatam.

If C is an expert in mridangam and F is not, then which are the three musicians who are experts in tabla but not in either mridangam or ghatam?

A
E, G and H
B
E, F and H
C
C, E and G
D
C, G and H
Answer key/Solution
Solution:
Q.No: 17
Test Name : CAT Actual Paper 2020 Slot-1
Question Numbers (43 to 46): Answer the questions on the basis of the information given below.

Ten musicians (A, B, C, D, E, F, G, H, I and J) are experts in at least one of the following three percussion instruments: tabla, mridangam, and ghatam. Among them, three are experts in tabla but not in mridangam or ghatam, another three are experts in mridangam but not in tabla or ghatam, and one is an expert in ghatam but not in tabla or mridangam. Further, two are experts in tabla and mridangam but not in ghatam, and one is an expert in tabla and ghatam but not in mridangam.

The following facts are known about these ten musicians.
1. Both A and B are experts in mridangam, but only one of them is also an expert in tabla.
2. D is an expert in both tabla and ghatam.
3. Both F and G are experts in tabla, but only one of them is also an expert in mridangam.
4. Neither I nor J is an expert in tabla.
5. Neither H nor I is an expert in mridangam, but only one of them is an expert in ghatam.

Who among the following is DEFINITELY an expert in mridangam but not in either tabla or ghatam?

A
B
B
E
C
J
D
G
Answer key/Solution
Solution:
Q.No: 18
Test Name : CAT Actual Paper 2020 Slot-1
Question Numbers (43 to 46): Answer the questions on the basis of the information given below.

Ten musicians (A, B, C, D, E, F, G, H, I and J) are experts in at least one of the following three percussion instruments: tabla, mridangam, and ghatam. Among them, three are experts in tabla but not in mridangam or ghatam, another three are experts in mridangam but not in tabla or ghatam, and one is an expert in ghatam but not in tabla or mridangam. Further, two are experts in tabla and mridangam but not in ghatam, and one is an expert in tabla and ghatam but not in mridangam.

The following facts are known about these ten musicians.
1. Both A and B are experts in mridangam, but only one of them is also an expert in tabla.
2. D is an expert in both tabla and ghatam.
3. Both F and G are experts in tabla, but only one of them is also an expert in mridangam.
4. Neither I nor J is an expert in tabla.
5. Neither H nor I is an expert in mridangam, but only one of them is an expert in ghatam.

Which of the following pairs CANNOT have any musician who is an expert in both tabla and mridangam but not in ghatam?

A
C and E
B
F and G
C
A and B
D
C and F
Answer key/Solution
Solution:
Q.No: 19
Test Name : CAT Actual Paper 2020 Slot-2
Question Numbers (35 to 40): Answer the questions on the basis of the information given below.

The Humanities department of a college is planning to organize eight seminars, one for each of the eight doctoral students - A, B, C, D, E, F, G and H. Four of them are from Economics, three from Sociology and one from Anthropology department. Each student is guided by one among P, Q, R, S and T. Two students are guided by each of P, R and T, while one student is guided by each of Q and S. Each student is guided by a guide belonging to their department.

Each seminar is to be scheduled in one of four consecutive 30-minute slots starting at 9:00 am, 9:30 am, 10:00 am and 10:30 am on the same day. More than one seminars can be scheduled in a slot, provided the guide is free. Only three rooms are available and hence at the most three seminars can be scheduled in a slot. Students who are guided by the same guide must be scheduled in consecutive slots.

The following additional facts are also known.

1. Seminars by students from Economics are scheduled in each of the four slots.
2. A’s is the only seminar that is scheduled at 10:00 am. A is guided by R.
3. F is an Anthropology student whose seminar is scheduled at 10:30 am.
4. The seminar of a Sociology student is scheduled at 9:00 am.
5. B and G are both Sociology students, whose seminars are scheduled in the same slot. The seminar of an Economics student, who is guided by T, is also scheduled in the same slot.
6. P, who is guiding both B and C, has students scheduled in the first two slots.
7. A and G are scheduled in two consecutive slots.

Which one of the following statements is true?

A
Two seminars are scheduled in the first slot.
B
Three seminars are scheduled in the last slot.
C
Only one seminar is scheduled in the second slot.
D
Three seminars are scheduled in the first slot.
Answer key/Solution
Solution:
Q.No: 20
Test Name : CAT Actual Paper 2020 Slot-2
Question Numbers (35 to 40): Answer the questions on the basis of the information given below.

The Humanities department of a college is planning to organize eight seminars, one for each of the eight doctoral students - A, B, C, D, E, F, G and H. Four of them are from Economics, three from Sociology and one from Anthropology department. Each student is guided by one among P, Q, R, S and T. Two students are guided by each of P, R and T, while one student is guided by each of Q and S. Each student is guided by a guide belonging to their department.

Each seminar is to be scheduled in one of four consecutive 30-minute slots starting at 9:00 am, 9:30 am, 10:00 am and 10:30 am on the same day. More than one seminars can be scheduled in a slot, provided the guide is free. Only three rooms are available and hence at the most three seminars can be scheduled in a slot. Students who are guided by the same guide must be scheduled in consecutive slots.

The following additional facts are also known.

1. Seminars by students from Economics are scheduled in each of the four slots.
2. A’s is the only seminar that is scheduled at 10:00 am. A is guided by R.
3. F is an Anthropology student whose seminar is scheduled at 10:30 am.
4. The seminar of a Sociology student is scheduled at 9:00 am.
5. B and G are both Sociology students, whose seminars are scheduled in the same slot. The seminar of an Economics student, who is guided by T, is also scheduled in the same slot.
6. P, who is guiding both B and C, has students scheduled in the first two slots.
7. A and G are scheduled in two consecutive slots.

If D is scheduled in a slot later than Q's, then which of the following two statement(s) is(are) true?
(i) E and H are guided by T.
(ii) G is guided by Q.

A
Both (i) and (ii)
B
Neither (i) nor (ii)
C
Only (i)
D
Only (ii)
Answer key/Solution
Solution:
Q.No: 21
Test Name : CAT Actual Paper 2020 Slot-2
Question Numbers (35 to 40): Answer the questions on the basis of the information given below.

The Humanities department of a college is planning to organize eight seminars, one for each of the eight doctoral students - A, B, C, D, E, F, G and H. Four of them are from Economics, three from Sociology and one from Anthropology department. Each student is guided by one among P, Q, R, S and T. Two students are guided by each of P, R and T, while one student is guided by each of Q and S. Each student is guided by a guide belonging to their department.

Each seminar is to be scheduled in one of four consecutive 30-minute slots starting at 9:00 am, 9:30 am, 10:00 am and 10:30 am on the same day. More than one seminars can be scheduled in a slot, provided the guide is free. Only three rooms are available and hence at the most three seminars can be scheduled in a slot. Students who are guided by the same guide must be scheduled in consecutive slots.

The following additional facts are also known.

1. Seminars by students from Economics are scheduled in each of the four slots.
2. A’s is the only seminar that is scheduled at 10:00 am. A is guided by R.
3. F is an Anthropology student whose seminar is scheduled at 10:30 am.
4. The seminar of a Sociology student is scheduled at 9:00 am.
5. B and G are both Sociology students, whose seminars are scheduled in the same slot. The seminar of an Economics student, who is guided by T, is also scheduled in the same slot.
6. P, who is guiding both B and C, has students scheduled in the first two slots.
7. A and G are scheduled in two consecutive slots.

Who all are NOT guiding any Economics students?

A
P, Q and R
B
P, Q and S
C
Q, R and S
D
P, R and S
Answer key/Solution
Solution:
Q.No: 22
Test Name : CAT Actual Paper 2020 Slot-2
Question Numbers (35 to 40): Answer the questions on the basis of the information given below.

The Humanities department of a college is planning to organize eight seminars, one for each of the eight doctoral students - A, B, C, D, E, F, G and H. Four of them are from Economics, three from Sociology and one from Anthropology department. Each student is guided by one among P, Q, R, S and T. Two students are guided by each of P, R and T, while one student is guided by each of Q and S. Each student is guided by a guide belonging to their department.

Each seminar is to be scheduled in one of four consecutive 30-minute slots starting at 9:00 am, 9:30 am, 10:00 am and 10:30 am on the same day. More than one seminars can be scheduled in a slot, provided the guide is free. Only three rooms are available and hence at the most three seminars can be scheduled in a slot. Students who are guided by the same guide must be scheduled in consecutive slots.

The following additional facts are also known.

1. Seminars by students from Economics are scheduled in each of the four slots.
2. A’s is the only seminar that is scheduled at 10:00 am. A is guided by R.
3. F is an Anthropology student whose seminar is scheduled at 10:30 am.
4. The seminar of a Sociology student is scheduled at 9:00 am.
5. B and G are both Sociology students, whose seminars are scheduled in the same slot. The seminar of an Economics student, who is guided by T, is also scheduled in the same slot.
6. P, who is guiding both B and C, has students scheduled in the first two slots.
7. A and G are scheduled in two consecutive slots.

If E and Q are both scheduled in the same slot, then which of the following statements BEST describes the relationship between D, H, and T?

A
Both D and H are guided by T.
B
Neither D nor H is guided by T.
C
At least one of D and H is guided by T.
D
Exactly one of D and H is guided by T.
Answer key/Solution
Solution:
Q.No: 23
Test Name : CAT Actual Paper 2020 Slot-2
Question Numbers (35 to 40): Answer the questions on the basis of the information given below.

The Humanities department of a college is planning to organize eight seminars, one for each of the eight doctoral students - A, B, C, D, E, F, G and H. Four of them are from Economics, three from Sociology and one from Anthropology department. Each student is guided by one among P, Q, R, S and T. Two students are guided by each of P, R and T, while one student is guided by each of Q and S. Each student is guided by a guide belonging to their department.

Each seminar is to be scheduled in one of four consecutive 30-minute slots starting at 9:00 am, 9:30 am, 10:00 am and 10:30 am on the same day. More than one seminars can be scheduled in a slot, provided the guide is free. Only three rooms are available and hence at the most three seminars can be scheduled in a slot. Students who are guided by the same guide must be scheduled in consecutive slots.

The following additional facts are also known.

1. Seminars by students from Economics are scheduled in each of the four slots.
2. A’s is the only seminar that is scheduled at 10:00 am. A is guided by R.
3. F is an Anthropology student whose seminar is scheduled at 10:30 am.
4. The seminar of a Sociology student is scheduled at 9:00 am.
5. B and G are both Sociology students, whose seminars are scheduled in the same slot. The seminar of an Economics student, who is guided by T, is also scheduled in the same slot.
6. P, who is guiding both B and C, has students scheduled in the first two slots.
7. A and G are scheduled in two consecutive slots.

Which of the following statements is necessarily true?

A
S is guiding F.
B
H is an Economics student.
C
Q is guiding G.
D
B is scheduled in the first slot.
Answer key/Solution
Solution:
Q.No: 24
Test Name : CAT Actual Paper 2020 Slot-2
Question Numbers (35 to 40): Answer the questions on the basis of the information given below.

The Humanities department of a college is planning to organize eight seminars, one for each of the eight doctoral students - A, B, C, D, E, F, G and H. Four of them are from Economics, three from Sociology and one from Anthropology department. Each student is guided by one among P, Q, R, S and T. Two students are guided by each of P, R and T, while one student is guided by each of Q and S. Each student is guided by a guide belonging to their department.

Each seminar is to be scheduled in one of four consecutive 30-minute slots starting at 9:00 am, 9:30 am, 10:00 am and 10:30 am on the same day. More than one seminars can be scheduled in a slot, provided the guide is free. Only three rooms are available and hence at the most three seminars can be scheduled in a slot. Students who are guided by the same guide must be scheduled in consecutive slots.

The following additional facts are also known.

1. Seminars by students from Economics are scheduled in each of the four slots.
2. A’s is the only seminar that is scheduled at 10:00 am. A is guided by R.
3. F is an Anthropology student whose seminar is scheduled at 10:30 am.
4. The seminar of a Sociology student is scheduled at 9:00 am.
5. B and G are both Sociology students, whose seminars are scheduled in the same slot. The seminar of an Economics student, who is guided by T, is also scheduled in the same slot.
6. P, who is guiding both B and C, has students scheduled in the first two slots.
7. A and G are scheduled in two consecutive slots.

If D is scheduled in the slot immediately before Q’s, then which of the following is NOT necessarily true?

A
E is guided by R.
B
F is guided by S.
C
D is guided by T.
D
G is guided by Q.
Answer key/Solution
Solution:
Q.No: 25
Test Name : CAT Actual Paper 2021 Slot-1
Directions for the questions 25 to 30: A journal plans to publish 18 research papers, written by eight authors (A, B, C, D, E, F, G, and H) in four issues of the journal scheduled in January, April, July and October. Each of the research papers was written by exactly one of the eight authors. Five papers were scheduled in each of the first two issues, while four were scheduled in each of the last two issues. Every author wrote at least one paper and at most three papers. The total number of papers written by A, D, G and H was double the total number of papers written by the other four authors. Four of the authors were from India and two each were from Japan and China. Each author belonged to exactly one of the three areas — Manufacturing, Automation and Logistics. Four of the authors were from the Logistics area and two were from the Automation area. As per the journal policy, none of the authors could have more than one paper in any issue of the journal.

The following facts are also known.
1. F, an Indian author from the Logistics area, wrote only one paper. It was scheduled in the October issue.
2. A was from the Automation area and did not have a paper scheduled in the October issue.
3. None of the Indian authors were from the Manufacturing area and none of the Japanese or Chinese authors were from the Automation area.
4. A and H were from different countries, but had their papers scheduled in exactly the same issues.
5. C and E, both Chinese authors from different areas, had the same number of papers scheduled. Further, E had papers scheduled in consecutive issues of the journal but C did not.
6. B, from the Logistics area, had a paper scheduled in the April issue of the journal.
7. B and G belonged to the same country. None of their papers were scheduled in the same issue of the journal.
8. D, a Japanese author from the Manufacturing area, did not have a paper scheduled in the July issue.
9. C and H belonged to different areas.

How many papers were written by Indian authors?

Answer key/Solution
Solution:
Q.No: 26
Test Name : CAT Actual Paper 2021 Slot-1
Directions for the questions 25 to 30: A journal plans to publish 18 research papers, written by eight authors (A, B, C, D, E, F, G, and H) in four issues of the journal scheduled in January, April, July and October. Each of the research papers was written by exactly one of the eight authors. Five papers were scheduled in each of the first two issues, while four were scheduled in each of the last two issues. Every author wrote at least one paper and at most three papers. The total number of papers written by A, D, G and H was double the total number of papers written by the other four authors. Four of the authors were from India and two each were from Japan and China. Each author belonged to exactly one of the three areas — Manufacturing, Automation and Logistics. Four of the authors were from the Logistics area and two were from the Automation area. As per the journal policy, none of the authors could have more than one paper in any issue of the journal.

The following facts are also known.
1. F, an Indian author from the Logistics area, wrote only one paper. It was scheduled in the October issue.
2. A was from the Automation area and did not have a paper scheduled in the October issue.
3. None of the Indian authors were from the Manufacturing area and none of the Japanese or Chinese authors were from the Automation area.
4. A and H were from different countries, but had their papers scheduled in exactly the same issues.
5. C and E, both Chinese authors from different areas, had the same number of papers scheduled. Further, E had papers scheduled in consecutive issues of the journal but C did not.
6. B, from the Logistics area, had a paper scheduled in the April issue of the journal.
7. B and G belonged to the same country. None of their papers were scheduled in the same issue of the journal.
8. D, a Japanese author from the Manufacturing area, did not have a paper scheduled in the July issue.
9. C and H belonged to different areas.

What is the correct sequence of number of papers written by B, C, E and G, respectively?

A
1, 2, 2, 3
B
3, 1, 1, 3
C
1, 2, 2, 1
D
1, 3, 3, 1
Answer key/Solution
Solution:
Q.No: 27
Test Name : CAT Actual Paper 2021 Slot-1
Directions for the questions 25 to 30: A journal plans to publish 18 research papers, written by eight authors (A, B, C, D, E, F, G, and H) in four issues of the journal scheduled in January, April, July and October. Each of the research papers was written by exactly one of the eight authors. Five papers were scheduled in each of the first two issues, while four were scheduled in each of the last two issues. Every author wrote at least one paper and at most three papers. The total number of papers written by A, D, G and H was double the total number of papers written by the other four authors. Four of the authors were from India and two each were from Japan and China. Each author belonged to exactly one of the three areas — Manufacturing, Automation and Logistics. Four of the authors were from the Logistics area and two were from the Automation area. As per the journal policy, none of the authors could have more than one paper in any issue of the journal.

The following facts are also known.
1. F, an Indian author from the Logistics area, wrote only one paper. It was scheduled in the October issue.
2. A was from the Automation area and did not have a paper scheduled in the October issue.
3. None of the Indian authors were from the Manufacturing area and none of the Japanese or Chinese authors were from the Automation area.
4. A and H were from different countries, but had their papers scheduled in exactly the same issues.
5. C and E, both Chinese authors from different areas, had the same number of papers scheduled. Further, E had papers scheduled in consecutive issues of the journal but C did not.
6. B, from the Logistics area, had a paper scheduled in the April issue of the journal.
7. B and G belonged to the same country. None of their papers were scheduled in the same issue of the journal.
8. D, a Japanese author from the Manufacturing area, did not have a paper scheduled in the July issue.
9. C and H belonged to different areas.

Which of the following statement(s) MUST be true?
Statement A: Every issue had at least one paper by author(s) from each country.
Statement B: Every issue had at most two papers by author(s) from each area.

A
Neither of the statements
B
Both the statements
C
Only statement A
D
Only statement B
Answer key/Solution
Solution:
Q.No: 28
Test Name : CAT Actual Paper 2021 Slot-1
Directions for the questions 25 to 30: A journal plans to publish 18 research papers, written by eight authors (A, B, C, D, E, F, G, and H) in four issues of the journal scheduled in January, April, July and October. Each of the research papers was written by exactly one of the eight authors. Five papers were scheduled in each of the first two issues, while four were scheduled in each of the last two issues. Every author wrote at least one paper and at most three papers. The total number of papers written by A, D, G and H was double the total number of papers written by the other four authors. Four of the authors were from India and two each were from Japan and China. Each author belonged to exactly one of the three areas — Manufacturing, Automation and Logistics. Four of the authors were from the Logistics area and two were from the Automation area. As per the journal policy, none of the authors could have more than one paper in any issue of the journal.

The following facts are also known.
1. F, an Indian author from the Logistics area, wrote only one paper. It was scheduled in the October issue.
2. A was from the Automation area and did not have a paper scheduled in the October issue.
3. None of the Indian authors were from the Manufacturing area and none of the Japanese or Chinese authors were from the Automation area.
4. A and H were from different countries, but had their papers scheduled in exactly the same issues.
5. C and E, both Chinese authors from different areas, had the same number of papers scheduled. Further, E had papers scheduled in consecutive issues of the journal but C did not.
6. B, from the Logistics area, had a paper scheduled in the April issue of the journal.
7. B and G belonged to the same country. None of their papers were scheduled in the same issue of the journal.
8. D, a Japanese author from the Manufacturing area, did not have a paper scheduled in the July issue.
9. C and H belonged to different areas.

Which of the following statements is FALSE?

A
Every issue had at least one paper by author(s) from Automation area.
B
Every issue had exactly one paper by a Chinese author.
C
Every issue had exactly two papers by authors from Logistics area.
D
Every issue had exactly two papers by Indian authors.
Answer key/Solution
Solution:
Q.No: 29
Test Name : CAT Actual Paper 2021 Slot-1
Directions for the questions 25 to 30: A journal plans to publish 18 research papers, written by eight authors (A, B, C, D, E, F, G, and H) in four issues of the journal scheduled in January, April, July and October. Each of the research papers was written by exactly one of the eight authors. Five papers were scheduled in each of the first two issues, while four were scheduled in each of the last two issues. Every author wrote at least one paper and at most three papers. The total number of papers written by A, D, G and H was double the total number of papers written by the other four authors. Four of the authors were from India and two each were from Japan and China. Each author belonged to exactly one of the three areas — Manufacturing, Automation and Logistics. Four of the authors were from the Logistics area and two were from the Automation area. As per the journal policy, none of the authors could have more than one paper in any issue of the journal.

The following facts are also known.
1. F, an Indian author from the Logistics area, wrote only one paper. It was scheduled in the October issue.
2. A was from the Automation area and did not have a paper scheduled in the October issue.
3. None of the Indian authors were from the Manufacturing area and none of the Japanese or Chinese authors were from the Automation area.
4. A and H were from different countries, but had their papers scheduled in exactly the same issues.
5. C and E, both Chinese authors from different areas, had the same number of papers scheduled. Further, E had papers scheduled in consecutive issues of the journal but C did not.
6. B, from the Logistics area, had a paper scheduled in the April issue of the journal.
7. B and G belonged to the same country. None of their papers were scheduled in the same issue of the journal.
8. D, a Japanese author from the Manufacturing area, did not have a paper scheduled in the July issue.
9. C and H belonged to different areas.

Which of the following statements is FALSE?

A
There were exactly two papers by authors from Manufacturing area in the July issue.
B
There were exactly two papers by authors from Manufacturing area in the January issue.
C
There was exactly one paper by an author from Logistics area in the October issue.
D
There was exactly one paper by an author from Manufacturing area in the April issue.
Answer key/Solution
Solution:
Q.No: 30
Test Name : CAT Actual Paper 2021 Slot-1
Directions for the questions 25 to 30: A journal plans to publish 18 research papers, written by eight authors (A, B, C, D, E, F, G, and H) in four issues of the journal scheduled in January, April, July and October. Each of the research papers was written by exactly one of the eight authors. Five papers were scheduled in each of the first two issues, while four were scheduled in each of the last two issues. Every author wrote at least one paper and at most three papers. The total number of papers written by A, D, G and H was double the total number of papers written by the other four authors. Four of the authors were from India and two each were from Japan and China. Each author belonged to exactly one of the three areas — Manufacturing, Automation and Logistics. Four of the authors were from the Logistics area and two were from the Automation area. As per the journal policy, none of the authors could have more than one paper in any issue of the journal.

The following facts are also known.
1. F, an Indian author from the Logistics area, wrote only one paper. It was scheduled in the October issue.
2. A was from the Automation area and did not have a paper scheduled in the October issue.
3. None of the Indian authors were from the Manufacturing area and none of the Japanese or Chinese authors were from the Automation area.
4. A and H were from different countries, but had their papers scheduled in exactly the same issues.
5. C and E, both Chinese authors from different areas, had the same number of papers scheduled. Further, E had papers scheduled in consecutive issues of the journal but C did not.
6. B, from the Logistics area, had a paper scheduled in the April issue of the journal.
7. B and G belonged to the same country. None of their papers were scheduled in the same issue of the journal.
8. D, a Japanese author from the Manufacturing area, did not have a paper scheduled in the July issue.
9. C and H belonged to different areas.

Which of the following is the correct sequence of number of papers by authors from Automation, Manufacturing and Logistics areas, respectively?

A
6, 6, 6
B
6, 5, 7
C
5, 6, 7
D
6, 7, 5
Answer key/Solution
Solution:
Q.No: 31
Test Name : CAT Actual Paper 2021 Slot-2
Comprehension:

Ravi works in an online food-delivery company. After each delivery, customers rate Ravi oneach of four parameters – Behaviour, Packaging, Hygiene, and Timeliness, on a scalefrom 1 to 9. If the total of the four rating points is 25 or more, then Ravi gets a bonus of ₹20for that delivery . Additionally, a customer may or may not give Ravi a tip. If the customergives a tip, it is either ₹30 or ₹50.

One day, Ravi made four deliveries - one to each of Atal, Bihari, Chirag and Deepak, andreceived a total of ₹120 in bonus and tips. He did not get both a bonus and a tip from thesame customer.

The following additional facts are also known.
1. In Timeliness, Ravi received a total of 21 points, and three of the customers gave himthe same rating points in this parameter. Atal gave higher rating points than Bihari andChirag in this parameter.
2. Ravi received distinct rating points in Packaging from the four customers adding up to29 points. Similarly, Ravi received distinct rating points in Hygiene from the four customersadding up to 26 points.
3. Chirag gave the same rating points for Packaging and Hygiene.
4. Among the four customers, Bihari gave the highest rating points in Packaging, andChirag gave the highest rating points in Hygiene.
5. Everyone rated Ravi between 5 and 7 in Behaviour. Unique maximum and minimumratings in this parameter were given by Atal and Deepak respectively.
6. If the customers are ranked based on ratings given by them in individual parameters,then Atal’s rank based on Packaging is the same as that based on Hygiene. This is alsotrue for Deepak.

What was the minimum rating that Ravi received from any customer in anyparameter?

Answer key/Solution
Solution:
Q.No: 32
Test Name : CAT Actual Paper 2021 Slot-2
Comprehension:

Ravi works in an online food-delivery company. After each delivery, customers rate Ravi oneach of four parameters – Behaviour, Packaging, Hygiene, and Timeliness, on a scalefrom 1 to 9. If the total of the four rating points is 25 or more, then Ravi gets a bonus of ₹20for that delivery . Additionally, a customer may or may not give Ravi a tip. If the customergives a tip, it is either ₹30 or ₹50.

One day, Ravi made four deliveries - one to each of Atal, Bihari, Chirag and Deepak, andreceived a total of ₹120 in bonus and tips. He did not get both a bonus and a tip from thesame customer.

The following additional facts are also known.
1. In Timeliness, Ravi received a total of 21 points, and three of the customers gave himthe same rating points in this parameter. Atal gave higher rating points than Bihari andChirag in this parameter.
2. Ravi received distinct rating points in Packaging from the four customers adding up to29 points. Similarly, Ravi received distinct rating points in Hygiene from the four customersadding up to 26 points.
3. Chirag gave the same rating points for Packaging and Hygiene.
4. Among the four customers, Bihari gave the highest rating points in Packaging, andChirag gave the highest rating points in Hygiene.
5. Everyone rated Ravi between 5 and 7 in Behaviour. Unique maximum and minimumratings in this parameter were given by Atal and Deepak respectively.
6. If the customers are ranked based on ratings given by them in individual parameters,then Atal’s rank based on Packaging is the same as that based on Hygiene. This is alsotrue for Deepak.

What rating did Atal give on Timeliness?

Answer key/Solution
Solution:
Q.No: 33
Test Name : CAT Actual Paper 2021 Slot-2
Comprehension:

Ravi works in an online food-delivery company. After each delivery, customers rate Ravi oneach of four parameters – Behaviour, Packaging, Hygiene, and Timeliness, on a scalefrom 1 to 9. If the total of the four rating points is 25 or more, then Ravi gets a bonus of ₹20for that delivery . Additionally, a customer may or may not give Ravi a tip. If the customergives a tip, it is either ₹30 or ₹50.

One day, Ravi made four deliveries - one to each of Atal, Bihari, Chirag and Deepak, andreceived a total of ₹120 in bonus and tips. He did not get both a bonus and a tip from thesame customer.

The following additional facts are also known.
1. In Timeliness, Ravi received a total of 21 points, and three of the customers gave himthe same rating points in this parameter. Atal gave higher rating points than Bihari andChirag in this parameter.
2. Ravi received distinct rating points in Packaging from the four customers adding up to29 points. Similarly, Ravi received distinct rating points in Hygiene from the four customersadding up to 26 points.
3. Chirag gave the same rating points for Packaging and Hygiene.
4. Among the four customers, Bihari gave the highest rating points in Packaging, andChirag gave the highest rating points in Hygiene.
5. Everyone rated Ravi between 5 and 7 in Behaviour. Unique maximum and minimumratings in this parameter were given by Atal and Deepak respectively.
6. If the customers are ranked based on ratings given by them in individual parameters,then Atal’s rank based on Packaging is the same as that based on Hygiene. This is alsotrue for Deepak.

The COMPLETE list of customers who gave the maximum total rating points to Ravi is

A
Bihari and Chirag
B
Atal and Bihari
C
Bihari
D
Atal
Answer key/Solution
Solution:
Q.No: 34
Test Name : CAT Actual Paper 2021 Slot-2
Comprehension:

Ravi works in an online food-delivery company. After each delivery, customers rate Ravi oneach of four parameters – Behaviour, Packaging, Hygiene, and Timeliness, on a scalefrom 1 to 9. If the total of the four rating points is 25 or more, then Ravi gets a bonus of ₹20for that delivery . Additionally, a customer may or may not give Ravi a tip. If the customergives a tip, it is either ₹30 or ₹50.

One day, Ravi made four deliveries - one to each of Atal, Bihari, Chirag and Deepak, andreceived a total of ₹120 in bonus and tips. He did not get both a bonus and a tip from thesame customer.

The following additional facts are also known.
1. In Timeliness, Ravi received a total of 21 points, and three of the customers gave himthe same rating points in this parameter. Atal gave higher rating points than Bihari andChirag in this parameter.
2. Ravi received distinct rating points in Packaging from the four customers adding up to29 points. Similarly, Ravi received distinct rating points in Hygiene from the four customersadding up to 26 points.
3. Chirag gave the same rating points for Packaging and Hygiene.
4. Among the four customers, Bihari gave the highest rating points in Packaging, andChirag gave the highest rating points in Hygiene.
5. Everyone rated Ravi between 5 and 7 in Behaviour. Unique maximum and minimumratings in this parameter were given by Atal and Deepak respectively.
6. If the customers are ranked based on ratings given by them in individual parameters,then Atal’s rank based on Packaging is the same as that based on Hygiene. This is also true for Deepak.

In which parameter did Atal give the maximum rating points to Ravi?

A
Packaging
B
Hygiene
C
Timeliness
D
Behaviour
Answer key/Solution
Solution:
Q.No: 35
Test Name : CAT Actual Paper 2021 Slot-2
Comprehension:

Ravi works in an online food-delivery company. After each delivery, customers rate Ravi oneach of four parameters – Behaviour, Packaging, Hygiene, and Timeliness, on a scalefrom 1 to 9. If the total of the four rating points is 25 or more, then Ravi gets a bonus of ₹20for that delivery . Additionally, a customer may or may not give Ravi a tip. If the customergives a tip, it is either ₹30 or ₹50.

One day, Ravi made four deliveries - one to each of Atal, Bihari, Chirag and Deepak, andreceived a total of ₹120 in bonus and tips. He did not get both a bonus and a tip from thesame customer.

The following additional facts are also known.
1. In Timeliness, Ravi received a total of 21 points, and three of the customers gave himthe same rating points in this parameter. Atal gave higher rating points than Bihari andChirag in this parameter.
2. Ravi received distinct rating points in Packaging from the four customers adding up to29 points. Similarly, Ravi received distinct rating points in Hygiene from the four customersadding up to 26 points.
3. Chirag gave the same rating points for Packaging and Hygiene.
4. Among the four customers, Bihari gave the highest rating points in Packaging, andChirag gave the highest rating points in Hygiene.
5. Everyone rated Ravi between 5 and 7 in Behaviour. Unique maximum and minimumratings in this parameter were given by Atal and Deepak respectively.
6. If the customers are ranked based on ratings given by them in individual parameters,then Atal’s rank based on Packaging is the same as that based on Hygiene. This is also true for Deepak.

What rating did Deepak give on Packaging?

A
8
B
5
C
6
D
7
Answer key/Solution
Solution:
Q.No: 36
Test Name : CAT Actual Paper 2021 Slot-2
Comprehension:

Ravi works in an online food-delivery company. After each delivery, customers rate Ravi oneach of four parameters – Behaviour, Packaging, Hygiene, and Timeliness, on a scalefrom 1 to 9. If the total of the four rating points is 25 or more, then Ravi gets a bonus of ₹20for that delivery . Additionally, a customer may or may not give Ravi a tip. If the customergives a tip, it is either ₹30 or ₹50.

One day, Ravi made four deliveries - one to each of Atal, Bihari, Chirag and Deepak, andreceived a total of ₹120 in bonus and tips. He did not get both a bonus and a tip from thesame customer.

The following additional facts are also known.
1. In Timeliness, Ravi received a total of 21 points, and three of the customers gave himthe same rating points in this parameter. Atal gave higher rating points than Bihari andChirag in this parameter.
2. Ravi received distinct rating points in Packaging from the four customers adding up to29 points. Similarly, Ravi received distinct rating points in Hygiene from the four customersadding up to 26 points.
3. Chirag gave the same rating points for Packaging and Hygiene.
4. Among the four customers, Bihari gave the highest rating points in Packaging, andChirag gave the highest rating points in Hygiene.
5. Everyone rated Ravi between 5 and 7 in Behaviour. Unique maximum and minimumratings in this parameter were given by Atal and Deepak respectively.
6. If the customers are ranked based on ratings given by them in individual parameters,then Atal’s rank based on Packaging is the same as that based on Hygiene. This is alsotrue for Deepak.

What BEST can be concluded about the tip amount given by Deepak?

A
Either ₹30 or ₹50
B
₹30
C
Either ₹0 or ₹30 or ₹50
D
₹50
Answer key/Solution
Solution:
Q.No: 37
Test Name : CAT Actual Paper 2022 Slot-1
Question Numbers (35 to 39): Adhara, Bithi, Chhaya, Dhanavi, Esther, and Fathima are the interviewers in a process that awards funding for new initiatives. Every interviewer individually interviews each of the candidates individually and awards a token only if she recommends funding. A token has a face value of 2, 3, 5, 7, 11, or 13. Each interviewer awards tokens of a single face value only.

Once all six interviews are over for a candidate, the candidate receives a funding that is Rs.1000 times the product of the face values of all the tokens. For example, if a candidate has tokens with face values 2, 5, and 7, then they get a funding of Rs.1000 × (2 × 5 × 7) = Rs.70,000.

Pragnyaa, Qahira, Rasheeda, Smera, and Tantra were five candidates who received funding. The funds they received, in descending order, were Rs.390,000, Rs.210,000, Rs.165,000, Rs.77,000, and Rs.66,000. The following additional facts are known:

1. Fathima awarded tokens to everyone except Qahira, while Adhara awarded tokens to no one except Pragnyaa.

2. Rashida received the highest number of tokens that anyone received, but she did not receive one from Esther.

3. Bithi awarded a token to Smera but not to Qahira, while Dhanavi awarded a token to Qahira but not to Smera.

How many tokens did Qahira receive?

Answer key/Solution
Solution:


Qahira received 2 tokens.
Q.No: 38
Test Name : CAT Actual Paper 2022 Slot-1
Question Numbers (35 to 39): Adhara, Bithi, Chhaya, Dhanavi, Esther, and Fathima are the interviewers in a process that awards funding for new initiatives. Every interviewer individually interviews each of the candidates individually and awards a token only if she recommends funding. A token has a face value of 2, 3, 5, 7, 11, or 13. Each interviewer awards tokens of a single face value only.

Once all six interviews are over for a candidate, the candidate receives a funding that is Rs.1000 times the product of the face values of all the tokens. For example, if a candidate has tokens with face values 2, 5, and 7, then they get a funding of Rs.1000 × (2 × 5 × 7) = Rs.70,000.

Pragnyaa, Qahira, Rasheeda, Smera, and Tantra were five candidates who received funding. The funds they received, in descending order, were Rs.390,000, Rs.210,000, Rs.165,000, Rs.77,000, and Rs.66,000. The following additional facts are known:

1. Fathima awarded tokens to everyone except Qahira, while Adhara awarded tokens to no one except Pragnyaa.

2. Rashida received the highest number of tokens that anyone received, but she did not receive one from Esther.

3. Bithi awarded a token to Smera but not to Qahira, while Dhanavi awarded a token to Qahira but not to Smera.

Who among the following definitely received a token from Bithi but not from Dhanavi?

A
Rasheeda
B
Qahira
C
Tantra
D
Pragnyaa
Answer key/Solution
Solution:


Pragnyaa definitely received a token from Bithi but not from Dhanavi.
Q.No: 39
Test Name : CAT Actual Paper 2022 Slot-1
Question Numbers (35 to 39): Adhara, Bithi, Chhaya, Dhanavi, Esther, and Fathima are the interviewers in a process that awards funding for new initiatives. Every interviewer individually interviews each of the candidates individually and awards a token only if she recommends funding. A token has a face value of 2, 3, 5, 7, 11, or 13. Each interviewer awards tokens of a single face value only.

Once all six interviews are over for a candidate, the candidate receives a funding that is Rs.1000 times the product of the face values of all the tokens. For example, if a candidate has tokens with face values 2, 5, and 7, then they get a funding of Rs.1000 × (2 × 5 × 7) = Rs.70,000.

Pragnyaa, Qahira, Rasheeda, Smera, and Tantra were five candidates who received funding. The funds they received, in descending order, were Rs.390,000, Rs.210,000, Rs.165,000, Rs.77,000, and Rs.66,000. The following additional facts are known:

1. Fathima awarded tokens to everyone except Qahira, while Adhara awarded tokens to no one except Pragnyaa.

2. Rashida received the highest number of tokens that anyone received, but she did not receive one from Esther.

3. Bithi awarded a token to Smera but not to Qahira, while Dhanavi awarded a token to Qahira but not to Smera.

How many tokens did Chhaya award?

Answer key/Solution
Solution:


Chhaya awarded 3 tokens – Pragnyaa, Rashida and either Smera or Tantra.
Q.No: 40
Test Name : CAT Actual Paper 2022 Slot-1
Question Numbers (35 to 39): Adhara, Bithi, Chhaya, Dhanavi, Esther, and Fathima are the interviewers in a process that awards funding for new initiatives. Every interviewer individually interviews each of the candidates individually and awards a token only if she recommends funding. A token has a face value of 2, 3, 5, 7, 11, or 13. Each interviewer awards tokens of a single face value only.

Once all six interviews are over for a candidate, the candidate receives a funding that is Rs.1000 times the product of the face values of all the tokens. For example, if a candidate has tokens with face values 2, 5, and 7, then they get a funding of Rs.1000 × (2 × 5 × 7) = Rs.70,000.

Pragnyaa, Qahira, Rasheeda, Smera, and Tantra were five candidates who received funding. The funds they received, in descending order, were Rs.390,000, Rs.210,000, Rs.165,000, Rs.77,000, and Rs.66,000. The following additional facts are known:

1. Fathima awarded tokens to everyone except Qahira, while Adhara awarded tokens to no one except Pragnyaa.

2. Rashida received the highest number of tokens that anyone received, but she did not receive one from Esther.

3. Bithi awarded a token to Smera but not to Qahira, while Dhanavi awarded a token to Qahira but not to Smera.

How many tokens did Smera receive?

Answer key/Solution
Solution:


Total funds received by Smera was either 66000 or 165000, so tokens received were either (3, 2, 11) or (3, 5, 11). In either case the total number of tokens was 3.
Q.No: 41
Test Name : CAT Actual Paper 2022 Slot-1
Question Numbers (35 to 39): Adhara, Bithi, Chhaya, Dhanavi, Esther, and Fathima are the interviewers in a process that awards funding for new initiatives. Every interviewer individually interviews each of the candidates individually and awards a token only if she recommends funding. A token has a face value of 2, 3, 5, 7, 11, or 13. Each interviewer awards tokens of a single face value only.

Once all six interviews are over for a candidate, the candidate receives a funding that is Rs.1000 times the product of the face values of all the tokens. For example, if a candidate has tokens with face values 2, 5, and 7, then they get a funding of Rs.1000 × (2 × 5 × 7) = Rs.70,000.

Pragnyaa, Qahira, Rasheeda, Smera, and Tantra were five candidates who received funding. The funds they received, in descending order, were Rs.390,000, Rs.210,000, Rs.165,000, Rs.77,000, and Rs.66,000. The following additional facts are known:

1. Fathima awarded tokens to everyone except Qahira, while Adhara awarded tokens to no one except Pragnyaa.

2. Rashida received the highest number of tokens that anyone received, but she did not receive one from Esther.

3. Bithi awarded a token to Smera but not to Qahira, while Dhanavi awarded a token to Qahira but not to Smera.

Which of the following could be the amount of funding that Tantra received?
(a) Rs. 66,000
(b) Rs. 165,000

A
Only (b)
B
Both (a) and (b)
C
Neither (a) nor (b)
D
Only (a)
Answer key/Solution
Solution:


The funds received by Tantra could be either Rs.66,000 or Rs.1,65,000. Hence, option (2) is correct.
Q.No: 42
Test Name : CAT Actual Paper 2023 Slot 1
Question Numbers (30 to 34): Faculty members in a management school can belong to one of four departments – Finance and Accounting (F&A), Marketing and Strategy (M&S), Operations and Quants (O&Q) and Behaviour and Human Resources (B&H). The numbers of faculty members in F&A, M&S, O&Q and B&H departments are 9, 7, 5 and 3 respectively.

Prof. Pakrasi, Prof. Qureshi, Prof. Ramaswamy and Prof. Samuel are four members of the school's faculty who were candidates for the post of the Dean of the school. Only one of the candidates was from O&Q.

Every faculty member, including the four candidates, voted for the post. In each department, all the faculty members who were not candidates voted for the same candidate. The rules for the election are listed below.

1. There cannot be more than two candidates from a single department.
2. A candidate cannot vote for himself/herself.
3. Faculty members cannot vote for a candidate from their own department.

After the election, it was observed that Prof. Pakrasi received 3 votes, Prof. Qureshi received 14 votes, Prof. Ramaswamy received 6 votes and Prof. Samuel received 1 vote. Prof. Pakrasi voted for Prof. Ramaswamy, Prof. Qureshi for Prof. Samuel, Prof. Ramaswamy for Prof. Qureshi and Prof. Samuel for Prof. Pakrasi.

Which two candidates can belong to the same department?

A
Prof. Pakrasi and Prof. Samuel
B
Prof. Pakrasi and Prof. Qureshi
C
Prof. Qureshi and Prof. Ramaswamy
D
Prof. Ramaswamy and Prof. Samuel
Answer key/Solution
Solution:


Prof. Pakrasi and Prof. Qureshi can belong to the same department M & S.
Q.No: 43
Test Name : CAT Actual Paper 2023 Slot 1
Question Numbers (35 to 39): A visa processing office (VPO) accepts visa applications in four categories – US, UK, Schengen, and Others. The applications are scheduled for processing in twenty 15-minute slots starting at 9:00 am and ending at 2:00 pm. Ten applications are scheduled in each slot.

There are ten counters in the office, four dedicated to US applications, and two each for UK applications, Schengen applications and Others applications.

Applicants are called in for processing sequentially on a first-come-first-served basis whenever a counter gets freed for their category. The processing time for an application is the same within each category. But it may vary across the categories. Each US and UK application requires 10 minutes of processing time. Depending on the number of applications in a category and time required to process an application for that category, it is possible that an applicant for a slot may be processed later.

On a particular day, Ira, Vijay and Nandini were scheduled for Schengen visa processing in that order. They had a 9:15 am slot but entered the VPO at 9:20 am. When they entered the office, exactly six out of the ten counters were either processing applications, or had finished processing one and ready to start processing the next.

Mahira and Osman were scheduled in the 9:30 am slot on that day for visa processing in the Others category.

The following additional information is known about that day.

1. All slots were full.
2. The number of US applications was the same in all the slots. The same was true for the other three categories.
3. 50% of the applications were US applications.
4. All applicants except Ira, Vijay and Nandini arrived on time.
5. Vijay was called to a counter at 9:25 am.

When did the application processing for all US applicants get over on that day?

A
2:00 pm
B
2:05 pm
C
2:25 pm
D
3:40 pm
Answer key/Solution
Solution:
Q.No: 44
Test Name : CAT Actual Paper 2023 Slot 1
Question Numbers (30 to 34): Faculty members in a management school can belong to one of four departments – Finance and Accounting (F&A), Marketing and Strategy (M&S), Operations and Quants (O&Q) and Behaviour and Human Resources (B&H). The numbers of faculty members in F&A, M&S, O&Q and B&H departments are 9, 7, 5 and 3 respectively.

Prof. Pakrasi, Prof. Qureshi, Prof. Ramaswamy and Prof. Samuel are four members of the school's faculty who were candidates for the post of the Dean of the school. Only one of the candidates was from O&Q.

Every faculty member, including the four candidates, voted for the post. In each department, all the faculty members who were not candidates voted for the same candidate. The rules for the election are listed below.

1. There cannot be more than two candidates from a single department.
2. A candidate cannot vote for himself/herself.
3. Faculty members cannot vote for a candidate from their own department.

After the election, it was observed that Prof. Pakrasi received 3 votes, Prof. Qureshi received 14 votes, Prof. Ramaswamy received 6 votes and Prof. Samuel received 1 vote. Prof. Pakrasi voted for Prof. Ramaswamy, Prof. Qureshi for Prof. Samuel, Prof. Ramaswamy for Prof. Qureshi and Prof. Samuel for Prof. Pakrasi.

If Prof. Samuel belongs to B&H, which of the following statements is/are true?

Statement A: Prof. Pakrasi belongs to M&S.
Statement B: Prof. Ramaswamy belongs to O&Q.

A
Neither statement A nor statement B
B
Both statements A and B
C
Only statement A
D
Only statement B
Answer key/Solution
Solution:


Both statements are true.
Q.No: 45
Test Name : CAT Actual Paper 2023 Slot 1
Question Numbers (30 to 34): Faculty members in a management school can belong to one of four departments – Finance and Accounting (F&A), Marketing and Strategy (M&S), Operations and Quants (O&Q) and Behaviour and Human Resources (B&H). The numbers of faculty members in F&A, M&S, O&Q and B&H departments are 9, 7, 5 and 3 respectively.

Prof. Pakrasi, Prof. Qureshi, Prof. Ramaswamy and Prof. Samuel are four members of the school's faculty who were candidates for the post of the Dean of the school. Only one of the candidates was from O&Q.

Every faculty member, including the four candidates, voted for the post. In each department, all the faculty members who were not candidates voted for the same candidate. The rules for the election are listed below.

1. There cannot be more than two candidates from a single department.
2. A candidate cannot vote for himself/herself.
3. Faculty members cannot vote for a candidate from their own department.

After the election, it was observed that Prof. Pakrasi received 3 votes, Prof. Qureshi received 14 votes, Prof. Ramaswamy received 6 votes and Prof. Samuel received 1 vote. Prof. Pakrasi voted for Prof. Ramaswamy, Prof. Qureshi for Prof. Samuel, Prof. Ramaswamy for Prof. Qureshi and Prof. Samuel for Prof. Pakrasi.

What best can be concluded about the candidate from O & Q?

A
It was either Prof. Pakrasi or Prof. Qureshi.
B
It was either Prof. Ramaswamy or Prof. Samuel.
C
It was Prof. Samuel.
D
It was Prof. Ramaswamy.
Answer key/Solution
Solution:


Either Prof. Ramaswamy or Prof. Samuel was from O & Q.
Q.No: 46
Test Name : CAT Actual Paper 2023 Slot 1
Question Numbers (35 to 39): A visa processing office (VPO) accepts visa applications in four categories – US, UK, Schengen, and Others. The applications are scheduled for processing in twenty 15-minute slots starting at 9:00 am and ending at 2:00 pm. Ten applications are scheduled in each slot.

There are ten counters in the office, four dedicated to US applications, and two each for UK applications, Schengen applications and Others applications.

Applicants are called in for processing sequentially on a first-come-first-served basis whenever a counter gets freed for their category. The processing time for an application is the same within each category. But it may vary across the categories. Each US and UK application requires 10 minutes of processing time. Depending on the number of applications in a category and time required to process an application for that category, it is possible that an applicant for a slot may be processed later.

On a particular day, Ira, Vijay and Nandini were scheduled for Schengen visa processing in that order. They had a 9:15 am slot but entered the VPO at 9:20 am. When they entered the office, exactly six out of the ten counters were either processing applications, or had finished processing one and ready to start processing the next.

Mahira and Osman were scheduled in the 9:30 am slot on that day for visa processing in the Others category.

The following additional information is known about that day.

1. All slots were full.
2. The number of US applications was the same in all the slots. The same was true for the other three categories.
3. 50% of the applications were US applications.
4. All applicants except Ira, Vijay and Nandini arrived on time.
5. Vijay was called to a counter at 9:25 am.

Which of the following is the closest to the time when Nandini’s application process got over?

A
9:35 am
B
9:37 am
C
9:45 am
D
9:50 am
Answer key/Solution
Solution:
Q.No: 47
Test Name : CAT Actual Paper 2023 Slot 1
Question Numbers (35 to 39): A visa processing office (VPO) accepts visa applications in four categories – US, UK, Schengen, and Others. The applications are scheduled for processing in twenty 15-minute slots starting at 9:00 am and ending at 2:00 pm. Ten applications are scheduled in each slot.

There are ten counters in the office, four dedicated to US applications, and two each for UK applications, Schengen applications and Others applications.

Applicants are called in for processing sequentially on a first-come-first-served basis whenever a counter gets freed for their category. The processing time for an application is the same within each category. But it may vary across the categories. Each US and UK application requires 10 minutes of processing time. Depending on the number of applications in a category and time required to process an application for that category, it is possible that an applicant for a slot may be processed later.

On a particular day, Ira, Vijay and Nandini were scheduled for Schengen visa processing in that order. They had a 9:15 am slot but entered the VPO at 9:20 am. When they entered the office, exactly six out of the ten counters were either processing applications, or had finished processing one and ready to start processing the next.

Mahira and Osman were scheduled in the 9:30 am slot on that day for visa processing in the Others category.

The following additional information is known about that day.

1. All slots were full.
2. The number of US applications was the same in all the slots. The same was true for the other three categories.
3. 50% of the applications were US applications.
4. All applicants except Ira, Vijay and Nandini arrived on time.
5. Vijay was called to a counter at 9:25 am.

How many UK applications were scheduled on that day?

Answer key/Solution
Solution:


Total applications on that day = 200
US applications = 100
So there are 5 applications of US out of total 10 in one time slot.
There were 3 applications of Schengen and 2 applications of Others in 1 time slot.
Hence, there are 0 applications of UK in one time slot.
Q.No: 48
Test Name : CAT Actual Paper 2023 Slot 1
Question Numbers (35 to 39): A visa processing office (VPO) accepts visa applications in four categories – US, UK, Schengen, and Others. The applications are scheduled for processing in twenty 15-minute slots starting at 9:00 am and ending at 2:00 pm. Ten applications are scheduled in each slot.

There are ten counters in the office, four dedicated to US applications, and two each for UK applications, Schengen applications and Others applications.

Applicants are called in for processing sequentially on a first-come-first-served basis whenever a counter gets freed for their category. The processing time for an application is the same within each category. But it may vary across the categories. Each US and UK application requires 10 minutes of processing time. Depending on the number of applications in a category and time required to process an application for that category, it is possible that an applicant for a slot may be processed later.

On a particular day, Ira, Vijay and Nandini were scheduled for Schengen visa processing in that order. They had a 9:15 am slot but entered the VPO at 9:20 am. When they entered the office, exactly six out of the ten counters were either processing applications, or had finished processing one and ready to start processing the next.

Mahira and Osman were scheduled in the 9:30 am slot on that day for visa processing in the Others category.

The following additional information is known about that day.

1. All slots were full.
2. The number of US applications was the same in all the slots. The same was true for the other three categories.
3. 50% of the applications were US applications.
4. All applicants except Ira, Vijay and Nandini arrived on time.
5. Vijay was called to a counter at 9:25 am.

What is the maximum possible value of the total time (in minutes, nearest to its integer value) required to process all applications in the Others category on that day?

Answer key/Solution
Solution:
Q.No: 49
Test Name : CAT Actual Paper 2023 Slot 1
Question Numbers (30 to 34): Faculty members in a management school can belong to one of four departments – Finance and Accounting (F&A), Marketing and Strategy (M&S), Operations and Quants (O&Q) and Behaviour and Human Resources (B&H). The numbers of faculty members in F&A, M&S, O&Q and B&H departments are 9, 7, 5 and 3 respectively.

Prof. Pakrasi, Prof. Qureshi, Prof. Ramaswamy and Prof. Samuel are four members of the school's faculty who were candidates for the post of the Dean of the school. Only one of the candidates was from O&Q.

Every faculty member, including the four candidates, voted for the post. In each department, all the faculty members who were not candidates voted for the same candidate. The rules for the election are listed below.

1. There cannot be more than two candidates from a single department.
2. A candidate cannot vote for himself/herself.
3. Faculty members cannot vote for a candidate from their own department.

After the election, it was observed that Prof. Pakrasi received 3 votes, Prof. Qureshi received 14 votes, Prof. Ramaswamy received 6 votes and Prof. Samuel received 1 vote. Prof. Pakrasi voted for Prof. Ramaswamy, Prof. Qureshi for Prof. Samuel, Prof. Ramaswamy for Prof. Qureshi and Prof. Samuel for Prof. Pakrasi.

Which of the following statements is/are true?
Statement A: Non-candidates from M&S voted for Prof. Qureshi.
Statement B: Non-candidates from F&A voted for Prof. Qureshi.

A
Only statement A
B
Neither statement A nor statement B
C
Both statements A and B
D
Only statement B
Answer key/Solution
Solution:


Only statement B is true.
Q.No: 50
Test Name : CAT Actual Paper 2023 Slot 1
Question Numbers (30 to 34): Faculty members in a management school can belong to one of four departments – Finance and Accounting (F&A), Marketing and Strategy (M&S), Operations and Quants (O&Q) and Behaviour and Human Resources (B&H). The numbers of faculty members in F&A, M&S, O&Q and B&H departments are 9, 7, 5 and 3 respectively.

Prof. Pakrasi, Prof. Qureshi, Prof. Ramaswamy and Prof. Samuel are four members of the school's faculty who were candidates for the post of the Dean of the school. Only one of the candidates was from O&Q.

Every faculty member, including the four candidates, voted for the post. In each department, all the faculty members who were not candidates voted for the same candidate. The rules for the election are listed below.

1. There cannot be more than two candidates from a single department.
2. A candidate cannot vote for himself/herself.
3. Faculty members cannot vote for a candidate from their own department.

After the election, it was observed that Prof. Pakrasi received 3 votes, Prof. Qureshi received 14 votes, Prof. Ramaswamy received 6 votes and Prof. Samuel received 1 vote. Prof. Pakrasi voted for Prof. Ramaswamy, Prof. Qureshi for Prof. Samuel, Prof. Ramaswamy for Prof. Qureshi and Prof. Samuel for Prof. Pakrasi.

Which of the following can be the number of votes that Prof. Qureshi received from a single department?

A
7
B
9
C
8
D
6
Answer key/Solution
Solution:


Nine can be the number of votes that Prof. Qureshi received from a single department.
Q.No: 51
Test Name : CAT Actual Paper 2023 Slot 1
Question Numbers (35 to 39): A visa processing office (VPO) accepts visa applications in four categories – US, UK, Schengen, and Others. The applications are scheduled for processing in twenty 15-minute slots starting at 9:00 am and ending at 2:00 pm. Ten applications are scheduled in each slot.

There are ten counters in the office, four dedicated to US applications, and two each for UK applications, Schengen applications and Others applications.

Applicants are called in for processing sequentially on a first-come-first-served basis whenever a counter gets freed for their category. The processing time for an application is the same within each category. But it may vary across the categories. Each US and UK application requires 10 minutes of processing time. Depending on the number of applications in a category and time required to process an application for that category, it is possible that an applicant for a slot may be processed later.

On a particular day, Ira, Vijay and Nandini were scheduled for Schengen visa processing in that order. They had a 9:15 am slot but entered the VPO at 9:20 am. When they entered the office, exactly six out of the ten counters were either processing applications, or had finished processing one and ready to start processing the next.

Mahira and Osman were scheduled in the 9:30 am slot on that day for visa processing in the Others category.

The following additional information is known about that day.

1. All slots were full.
2. The number of US applications was the same in all the slots. The same was true for the other three categories.
3. 50% of the applications were US applications.
4. All applicants except Ira, Vijay and Nandini arrived on time.
5. Vijay was called to a counter at 9:25 am.

Which of the following statements is false?

A
The application process of Mahira was completed before Nandini’s.
B
The application process of Osman was completed before Vijay’s.
C
The application process of Mahira started after Nandini’s.
D
The application process of Osman was completed before 9:45 am.
Answer key/Solution
Solution:
Q.No: 52
Test Name : CAT Actual Paper 2023 Slot 2
Question Numbers (40 to 44):

Anjali, Bipasha, and Chitra visited an entertainment park that has four rides. Each ride lasts one hour and can accommodate one visitor at one point. All rides begin at 9 am and must be completed by 5 pm except for Ride-3, for which the last ride has to be completed by 1 pm. Ride gates open every 30 minutes, e.g. 10 am, 10:30 am, and so on. Whenever a ride gate opens, and there is no visitor inside, the first visitor waiting in the queue buys the ticket just before taking the ride. The ticket prices are Rs. 20, Rs. 50, Rs. 30 and Rs. 40 for Rides 1 to 4, respectively. Each of the three visitors took at least one ride and did not necessarily take all rides. None of them took the same ride more than once. The movement time from one ride to another is negligible, and a visitor leaves the ride immediately after the completion of the ride. No one takes a break inside the park unless mentioned explicitly.

The following information is also known.

1. Chitra never waited in the queue and completed her visit by 11 am after spending Rs. 50 to pay for the ticket(s).
2. Anjali took Ride-1 at 11 am after waiting for 30 mins for Chitra to complete it. It was the only ride where Anjali waited.
3. Bipasha began her first of three rides at 11:30 am. All three visitors incurred the same amount of ticket expense by 12:15 pm.
4. The last ride taken by Anjali and Bipasha was the same, where Bipasha waited 30 mins for Anjali to complete her ride. Before standing in the queue for that ride, Bipasha took a 1-hour coffee break after completing her previous ride.

What was the total amount spent on tickets (in Rs.) by Bipasha?

A
90
B
120
C
100
D
110
Answer key/Solution
Solution:


Total amount spent on tickets (in Rs.) by Bipasha is Rs. 110.
Q.No: 53
Test Name : CAT Actual Paper 2023 Slot 2
Question Numbers (40 to 44):

Anjali, Bipasha, and Chitra visited an entertainment park that has four rides. Each ride lasts one hour and can accommodate one visitor at one point. All rides begin at 9 am and must be completed by 5 pm except for Ride-3, for which the last ride has to be completed by 1 pm. Ride gates open every 30 minutes, e.g. 10 am, 10:30 am, and so on. Whenever a ride gate opens, and there is no visitor inside, the first visitor waiting in the queue buys the ticket just before taking the ride. The ticket prices are Rs. 20, Rs. 50, Rs. 30 and Rs. 40 for Rides 1 to 4, respectively. Each of the three visitors took at least one ride and did not necessarily take all rides. None of them took the same ride more than once. The movement time from one ride to another is negligible, and a visitor leaves the ride immediately after the completion of the ride. No one takes a break inside the park unless mentioned explicitly.

The following information is also known.

1. Chitra never waited in the queue and completed her visit by 11 am after spending Rs. 50 to pay for the ticket(s).
2. Anjali took Ride-1 at 11 am after waiting for 30 mins for Chitra to complete it. It was the only ride where Anjali waited.
3. Bipasha began her first of three rides at 11:30 am. All three visitors incurred the same amount of ticket expense by 12:15 pm.
4. The last ride taken by Anjali and Bipasha was the same, where Bipasha waited 30 mins for Anjali to complete her ride. Before standing in the queue for that ride, Bipasha took a 1-hour coffee break after completing her previous ride.

Which were all the rides that Anjali completed by 2:00 pm?

A
Ride-1, Ride-2, and Ride-3
B
Ride-1 and Ride-3
C
Ride-1, Ride-2, and Ride-4
D
Ride-1 and Ride-4
Answer key/Solution
Solution:


The rides that Anjali completed by 2 pm are Ride 1, Ride 2 and Ride 3.
Q.No: 54
Test Name : CAT Actual Paper 2023 Slot 2
Question Numbers (40 to 44):

Anjali, Bipasha, and Chitra visited an entertainment park that has four rides. Each ride lasts one hour and can accommodate one visitor at one point. All rides begin at 9 am and must be completed by 5 pm except for Ride-3, for which the last ride has to be completed by 1 pm. Ride gates open every 30 minutes, e.g. 10 am, 10:30 am, and so on. Whenever a ride gate opens, and there is no visitor inside, the first visitor waiting in the queue buys the ticket just before taking the ride. The ticket prices are Rs. 20, Rs. 50, Rs. 30 and Rs. 40 for Rides 1 to 4, respectively. Each of the three visitors took at least one ride and did not necessarily take all rides. None of them took the same ride more than once. The movement time from one ride to another is negligible, and a visitor leaves the ride immediately after the completion of the ride. No one takes a break inside the park unless mentioned explicitly.

The following information is also known.

1. Chitra never waited in the queue and completed her visit by 11 am after spending Rs. 50 to pay for the ticket(s).
2. Anjali took Ride-1 at 11 am after waiting for 30 mins for Chitra to complete it. It was the only ride where Anjali waited.
3. Bipasha began her first of three rides at 11:30 am. All three visitors incurred the same amount of ticket expense by 12:15 pm.
4. The last ride taken by Anjali and Bipasha was the same, where Bipasha waited 30 mins for Anjali to complete her ride. Before standing in the queue for that ride, Bipasha took a 1-hour coffee break after completing her previous ride.

Which ride was taken by all three visitors?

A
Ride-4
B
Ride-3
C
Ride-2
D
Ride-1
Answer key/Solution
Solution:


Ride 1 was taken by all three visitors.
Q.No: 55
Test Name : CAT Actual Paper 2023 Slot 2
Question Numbers (40 to 44):

Anjali, Bipasha, and Chitra visited an entertainment park that has four rides. Each ride lasts one hour and can accommodate one visitor at one point. All rides begin at 9 am and must be completed by 5 pm except for Ride-3, for which the last ride has to be completed by 1 pm. Ride gates open every 30 minutes, e.g. 10 am, 10:30 am, and so on. Whenever a ride gate opens, and there is no visitor inside, the first visitor waiting in the queue buys the ticket just before taking the ride. The ticket prices are Rs. 20, Rs. 50, Rs. 30 and Rs. 40 for Rides 1 to 4, respectively. Each of the three visitors took at least one ride and did not necessarily take all rides. None of them took the same ride more than once. The movement time from one ride to another is negligible, and a visitor leaves the ride immediately after the completion of the ride. No one takes a break inside the park unless mentioned explicitly.

The following information is also known.

1. Chitra never waited in the queue and completed her visit by 11 am after spending Rs. 50 to pay for the ticket(s).
2. Anjali took Ride-1 at 11 am after waiting for 30 mins for Chitra to complete it. It was the only ride where Anjali waited.
3. Bipasha began her first of three rides at 11:30 am. All three visitors incurred the same amount of ticket expense by 12:15 pm.
4. The last ride taken by Anjali and Bipasha was the same, where Bipasha waited 30 mins for Anjali to complete her ride. Before standing in the queue for that ride, Bipasha took a 1-hour coffee break after completing her previous ride.

How many rides did Anjali and Chitra take in total?

Answer key/Solution
Solution:


Anjali and Chitra take 6 Rides in total.
Q.No: 56
Test Name : CAT Actual Paper 2023 Slot 2
Question Numbers (40 to 44):

Anjali, Bipasha, and Chitra visited an entertainment park that has four rides. Each ride lasts one hour and can accommodate one visitor at one point. All rides begin at 9 am and must be completed by 5 pm except for Ride-3, for which the last ride has to be completed by 1 pm. Ride gates open every 30 minutes, e.g. 10 am, 10:30 am, and so on. Whenever a ride gate opens, and there is no visitor inside, the first visitor waiting in the queue buys the ticket just before taking the ride. The ticket prices are Rs. 20, Rs. 50, Rs. 30 and Rs. 40 for Rides 1 to 4, respectively. Each of the three visitors took at least one ride and did not necessarily take all rides. None of them took the same ride more than once. The movement time from one ride to another is negligible, and a visitor leaves the ride immediately after the completion of the ride. No one takes a break inside the park unless mentioned explicitly.

The following information is also known.

1. Chitra never waited in the queue and completed her visit by 11 am after spending Rs. 50 to pay for the ticket(s).
2. Anjali took Ride-1 at 11 am after waiting for 30 mins for Chitra to complete it. It was the only ride where Anjali waited.
3. Bipasha began her first of three rides at 11:30 am. All three visitors incurred the same amount of ticket expense by 12:15 pm.
4. The last ride taken by Anjali and Bipasha was the same, where Bipasha waited 30 mins for Anjali to complete her ride. Before standing in the queue for that ride, Bipasha took a 1-hour coffee break after completing her previous ride.

What was the total amount spent on tickets (in Rs.) by Anjali?

Answer key/Solution
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The total amount spent on tickets by Anjali is Rs. 140.
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Qahira received 2 tokens.

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Pragnyaa definitely received a token from Bithi but not from Dhanavi.

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Chhaya awarded 3 tokens – Pragnyaa, Rashida and either Smera or Tantra.

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Total funds received by Smera was either 66000 or 165000, so tokens received were either (3, 2, 11) or (3, 5, 11). In either case the total number of tokens was 3.

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The funds received by Tantra could be either Rs.66,000 or Rs.1,65,000. Hence, option (2) is correct.

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Prof. Pakrasi and Prof. Qureshi can belong to the same department M & S.

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Both statements are true.

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Either Prof. Ramaswamy or Prof. Samuel was from O & Q.

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Total applications on that day = 200
US applications = 100
So there are 5 applications of US out of total 10 in one time slot.
There were 3 applications of Schengen and 2 applications of Others in 1 time slot.
Hence, there are 0 applications of UK in one time slot.

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Only statement B is true.

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Nine can be the number of votes that Prof. Qureshi received from a single department.

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Total amount spent on tickets (in Rs.) by Bipasha is Rs. 110.

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The rides that Anjali completed by 2 pm are Ride 1, Ride 2 and Ride 3.

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Ride 1 was taken by all three visitors.

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Anjali and Chitra take 6 Rides in total.

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The total amount spent on tickets by Anjali is Rs. 140.

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