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Q.No: 1
Test Name : CAT Paper 2001

Directions for questions 140 to 146: Answer the questions independently.

A king has unflinching loyalty from eight of his ministers M1 to M8, but he has to select only four to make a cabinet committee. He decides to choose these four such that each selected person shares a liking with at least one of the other three selected. The selected persons must also hate at least one of the likings of any of the other three persons selected.
M1 likes fishing and smoking, but hates gambling.
M2 likes smoking and drinking, but hates fishing.
M3 likes gambling, but hates smoking,
M4 likes mountaineering, but hates drinking,
M5 likes drinking, but hates smoking and mountaineering.
M6 likes fishing, but hates smoking and mountaineering.
M7 likes gambling and mountaineering, but hates fishing.
M8 likes smoking and gambling, but hates mountaineering.

Who are the four people selected by the king?

A
M1, M2, M5 and M6
B
M3, M4, M5 and M6
C
M4, M5, M6 and M8
D
M1, M2, M4 and M7
Answer key/Solution
Solution:
Q.No: 2
Test Name : CAT Paper 2001
Directions for questions 147 to 150: Answer the questions based on the following information.
A and B are two sets (e.g. A = Mothers, B = Women). The elements that could belong to both the sets (e.g. women who are mothers) is given by the set C = A . B. The elements which could belong to either A or B, or both, is indicated by the set D = A ∪ B . A set that does not contain any elements is known as a null set represented by ϕ (e.g. if none of the women in the set B is a mother, then C = A .B is a null set, or C = ϕ ). Let ‘V’ signify the set of all vertebrates, ‘M’ the set of all mammals, ‘D’ dogs, ‘F’ fish, ‘A’ alsatian and ‘P’, a dog named Pluto.

Given that X = M .D is such that X = D. Which of the following is true?

Given that X = M .D is such that X = D. Which of the following is true?

A
All dogs are mammals
B
Some dogs are mammals
C
X = ϕ
D
All mammals are dogs
Answer key/Solution
Solution:
Q.No: 3
Test Name : CAT Paper 2001
Directions for questions 147 to 150: Answer the questions based on the following information.
A and B are two sets (e.g. A = Mothers, B = Women). The elements that could belong to both the sets (e.g. women who are mothers) is given by the set C = A . B. The elements which could belong to either A or B, or both, is indicated by the set D = A ∪ B . A set that does not contain any elements is known as a null set represented by ϕ (e.g. if none of the women in the set B is a mother, then C = A .B is a null set, or C = ϕ ). Let ‘V’ signify the set of all vertebrates, ‘M’ the set of all mammals, ‘D’ dogs, ‘F’ fish, ‘A’ alsatian and ‘P’, a dog named Pluto.

Given that X = M .D is such that X = D. Which of the following is true?

If Y = F . (D . V) is not a null set, it implies that

A
all fish are vertebrates
B
all dogs are vertebrates
C
some fish are dogs
D
None of these
Answer key/Solution
Solution:
Q.No: 4
Test Name : CAT Paper 2001
Directions for questions 147 to 150: Answer the questions based on the following information.
A and B are two sets (e.g. A = Mothers, B = Women). The elements that could belong to both the sets (e.g. women who are mothers) is given by the set C = A . B. The elements which could belong to either A or B, or both, is indicated by the set D = A ∪ B . A set that does not contain any elements is known as a null set represented by ϕ (e.g. if none of the women in the set B is a mother, then C = A .B is a null set, or C = ϕ ). Let ‘V’ signify the set of all vertebrates, ‘M’ the set of all mammals, ‘D’ dogs, ‘F’ fish, ‘A’ alsatian and ‘P’, a dog named Pluto.

Given that X = M .D is such that X = D. Which of the following is true?

If Z = (P . D) ∪M, then

A
The elements of Z consist of Pluto, the dog, or any other mammal
B
Z implies any dog or mammal
C
Z implies Pluto or any dog that is a mammal
D
Z is a null set
Answer key/Solution
Solution:
Q.No: 5
Test Name : CAT Paper 2001
Directions for questions 147 to 150: Answer the questions based on the following information.
A and B are two sets (e.g. A = Mothers, B = Women). The elements that could belong to both the sets (e.g. women who are mothers) is given by the set C = A . B. The elements which could belong to either A or B, or both, is indicated by the set D = A ∪ B . A set that does not contain any elements is known as a null set represented by ϕ (e.g. if none of the women in the set B is a mother, then C = A .B is a null set, or C = ϕ ). Let ‘V’ signify the set of all vertebrates, ‘M’ the set of all mammals, ‘D’ dogs, ‘F’ fish, ‘A’ alsatian and ‘P’, a dog named Pluto.

Given that X = M .D is such that X = D. Which of the following is true?

If P . A = ϕ and P ∪ A = D, then which of the following is true?

A
Pluto and alsatians are dogs
B
Pluto is an alsatian
C
Pluto is not an alsatian
D
D is a null set
Answer key/Solution
Solution:
Q.No: 6
Test Name : CAT 2019 Actual Paper Slot 1
Question Numbers (39 to 42): Answer the questions on the basis of the information given below.

The following table represents addition of two six-digit numbers given in the first and the second rows, while the sum is given in the third row. In the representation, each of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 has been coded with one letter among A, B, C, D, E, F, G, H, J, K, with distinct letters representing distinct digits.

Which digit does the letter A represent?

Answer key/Solution
Solution:
Q.No: 7
Test Name : CAT 2019 Actual Paper Slot 1
Question Numbers (39 to 42): Answer the questions on the basis of the information given below.

The following table represents addition of two six-digit numbers given in the first and the second rows, while the sum is given in the third row. In the representation, each of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 has been coded with one letter among A, B, C, D, E, F, G, H, J, K, with distinct letters representing distinct digits.

Which digit does the letter B represent?

Answer key/Solution
Solution:
Q.No: 8
Test Name : CAT 2019 Actual Paper Slot 1
Question Numbers (39 to 42): Answer the questions on the basis of the information given below.

The following table represents addition of two six-digit numbers given in the first and the second rows, while the sum is given in the third row. In the representation, each of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 has been coded with one letter among A, B, C, D, E, F, G, H, J, K, with distinct letters representing distinct digits.

Which among the digits 3, 4, 6 and 7 cannot be represented by the letter D?

Answer key/Solution
Solution:
Q.No: 9
Test Name : CAT 2019 Actual Paper Slot 1
Question Numbers (39 to 42): Answer the questions on the basis of the information given below.

The following table represents addition of two six-digit numbers given in the first and the second rows, while the sum is given in the third row. In the representation, each of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 has been coded with one letter among A, B, C, D, E, F, G, H, J, K, with distinct letters representing distinct digits.

Which among the digits 4, 6, 7 and 8 cannot be represented by the letter G?

Answer key/Solution
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