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Q.No: 1
Test Name : CAT Paper 1991
Q161 to 165: Read the following information and answer the questions that follows:

Ghosh Babu deposited a certain sum of money in a bank in 1986. The bank calculated interest on the principal at 10 percent simple interest, and credited it to the account once a year. After the 1st year, Ghosh Babu withdrew the entire interest and 20% of the initial amount. After the 2nd year, he withdrew the interest and 50% of the remaining amount. After the 3rd year, he withdrew the interest and 50% of the remaining amount. Finally after the 4th year, Ghosh Babu closed the account and collected the entire balance of Rs. 11,000.

The initial amount in rupees, deposited by Ghosh Babu was:

A
25,000
B
75,000
C
50,000
D
None of these
E
NA
Answer key/Solution
Solution:
Q.No: 2
Test Name : CAT Paper 1991
Q161 to 165: Read the following information and answer the questions that follows:

Ghosh Babu deposited a certain sum of money in a bank in 1986. The bank calculated interest on the principal at 10 percent simple interest, and credited it to the account once a year. After the 1st year, Ghosh Babu withdrew the entire interest and 20% of the initial amount. After the 2nd year, he withdrew the interest and 50% of the remaining amount. After the 3rd year, he withdrew the interest and 50% of the remaining amount. Finally after the 4th year, Ghosh Babu closed the account and collected the entire balance of Rs. 11,000.

The year, at the end of which, Ghosh Babu withdrew the smallest amount was:

A
First
B
Second
C
Third
D
Fourth
E
NA
Answer key/Solution
Solution:
He withdrew the smallest amount after the 4th year.
Q.No: 3
Test Name : CAT Paper 1991
Q161 to 165: Read the following information and answer the questions that follows:

Ghosh Babu deposited a certain sum of money in a bank in 1986. The bank calculated interest on the principal at 10 percent simple interest, and credited it to the account once a year. After the 1st year, Ghosh Babu withdrew the entire interest and 20% of the initial amount. After the 2nd year, he withdrew the interest and 50% of the remaining amount. After the 3rd year, he withdrew the interest and 50% of the remaining amount. Finally after the 4th year, Ghosh Babu closed the account and collected the entire balance of Rs. 11,000.

The year, at the end of which, Ghosh Babu collected the maximum interest was:

A
First
B
Second
C
Third
D
Fourth
E
NA
Answer key/Solution
Solution:
He collected the maximum interest after the 1st year.
Q.No: 4
Test Name : CAT Paper 1991
Q161 to 165: Read the following information and answer the questions that follows:

Ghosh Babu deposited a certain sum of money in a bank in 1986. The bank calculated interest on the principal at 10 percent simple interest, and credited it to the account once a year. After the 1st year, Ghosh Babu withdrew the entire interest and 20% of the initial amount. After the 2nd year, he withdrew the interest and 50% of the remaining amount. After the 3rd year, he withdrew the interest and 50% of the remaining amount. Finally after the 4th year, Ghosh Babu closed the account and collected the entire balance of Rs. 11,000.

The year, at the end of which, Ghosh Babu withdrew the maximum amount was:

A
First
B
Second
C
Third
D
Fourth
E
NA
Answer key/Solution
Solution:
Ghosh Babu withdrew the maximum amount after the 2nd year.
Q.No: 5
Test Name : CAT Paper 1991
Q161 to 165: Read the following information and answer the questions that follows:

Ghosh Babu deposited a certain sum of money in a bank in 1986. The bank calculated interest on the principal at 10 percent simple interest, and credited it to the account once a year. After the 1st year, Ghosh Babu withdrew the entire interest and 20% of the initial amount. After the 2nd year, he withdrew the interest and 50% of the remaining amount. After the 3rd year, he withdrew the interest and 50% of the remaining amount. Finally after the 4th year, Ghosh Babu closed the account and collected the entire balance of Rs. 11,000.

The total interest, in rupees, collected by Ghosh Babu was:

A
12,000
B
20,000
C
4,000
D
11,000
E
NA
Answer key/Solution
Solution:
As seen from the above table, the total interest collected by Ghosh Babu is Rs.24 on Rs.100. Hence on Rs.50000, it would be Rs.12000.
Q.No: 6
Test Name : CAT Paper 1993
Q155 to 158 are based on the following information:

Ghosh Babu has recently acquired four companies namely Arc - Net Technologies (ANT), Babu Anta Transport (BAT), Charles Anter Tailor (CAT) and Daud Akbar Transistors (DAT). When the results of the companies for the year 1992 - 93 were placed before him. He found a few interesting things about them. While the profits of CAT and DAT were the same, the sales of CAT were the same as those of BAT . Profits of ANT were 10% of its sales, where as the profits of BAT were 20% of its sales. While the total expenses of CAT were 5 times its profits, sales of DAT were 3 times its profits. The total expenses of CAT were Rs.10,00,000, the total expenses of ANT were 10% less than those of CAT. Profits are defined as the difference between sales and total expenses.

Which company had the lowest sales?

A
ANT
B
BAT
C
CAT
D
DAT
Answer key/Solution
Solution:


From the above table, it can be seen that the company that had the lowest sales is DAT viz. Rs.6 lakhs.
Q.No: 7
Test Name : CAT Paper 1993
Q155 to 158 are based on the following information:

Ghosh Babu has recently acquired four companies namely Arc – Net Technologies (ANT), Babu Anta Transport (BAT), Charles Anter Tailor (CAT) and Daud Akbar Transistors (DAT). When the results of the companies for the year 1992 – 93 were placed before him. He found a few interesting things about them. While the profits of CAT and DAT were the same, the sales of CAT were the same as those of BAT . Profits of ANT were 10% of its sales, where as the profits of BAT were 20% of its sales. While the total expenses of CAT were 5 times its profits, sales of DAT were 3 times its profits. The total expenses of CAT were Rs.10,00,000, the total expenses of ANT were 10% less than those of CAT. Profits are defined as the difference between sales and total expenses.

Which company had the highest total expenses?

A
ANT
B
BAT
C
CAT
D
DAT
Answer key/Solution
Solution:


CAT had highest total expenses i.e., Rs.10 lakhs.
Q.No: 8
Test Name : CAT Paper 1993
Q155 to 158 are based on the following information:

Ghosh Babu has recently acquired four companies namely Arc – Net Technologies (ANT), Babu Anta Transport (BAT), Charles Anter Tailor (CAT) and Daud Akbar Transistors (DAT). When the results of the companies for the year 1992 – 93 were placed before him. He found a few interesting things about them. While the profits of CAT and DAT were the same, the sales of CAT were the same as those of BAT . Profits of ANT were 10% of its sales, where as the profits of BAT were 20% of its sales. While the total expenses of CAT were 5 times its profits, sales of DAT were 3 times its profits. The total expenses of CAT were Rs.10,00,000, the total expenses of ANT were 10% less than those of CAT. Profits are defined as the difference between sales and total expenses.

Which company had the lowest profits?

A
ANT
B
BAT
C
CAT
D
DAT
Answer key/Solution
Solution:


ANT had lowest profits i.e., Rs.1 lakh.
Q.No: 9
Test Name : CAT Paper 1993
Q155 to 158 are based on the following information:

Ghosh Babu has recently acquired four companies namely Arc – Net Technologies (ANT), Babu Anta Transport (BAT), Charles Anter Tailor (CAT) and Daud Akbar Transistors (DAT). When the results of the companies for the year 1992 – 93 were placed before him. He found a few interesting things about them. While the profits of CAT and DAT were the same, the sales of CAT were the same as those of BAT . Profits of ANT were 10% of its sales, where as the profits of BAT were 20% of its sales. While the total expenses of CAT were 5 times its profits, sales of DAT were 3 times its profits. The total expenses of CAT were Rs.10,00,000, the total expenses of ANT were 10% less than those of CAT. Profits are defined as the difference between sales and total expenses.

Which company had the highest profits.

A
ANT
B
BAT
C
CAT
D
DAT
Answer key/Solution
Solution:


BAT had the highest profits i.e., Rs.2.4 lakhs.
Q.No: 10
Test Name : CAT Paper 1996

Direction for questions 120 and 121: Answer the questions based on the following information. A watch dealer incurs an expense of Rs. 150 for producing every watch. He also incurs an additional expenditure of Rs. 30,000, which is independent of the number of watches produced. If he is able to sell a watch during the season, he sells it for Rs. 250. If he fails to do so, he has to sell each watch for Rs. 100.

If he is able to sell only 1,200 out of 1,500 watches he has made in the season, then he has made a profit of

A
Rs. 90,000
B
Rs. 75,000
C
Rs. 45,000
D
Rs. 60,000
Answer key/Solution
Solution:
Q.No: 11
Test Name : CAT Paper 1996

Direction for questions 120 and 121: Answer the questions based on the following information. A watch dealer incurs an expense of Rs. 150 for producing every watch. He also incurs an additional expenditure of Rs. 30,000, which is independent of the number of watches produced. If he is able to sell a watch during the season, he sells it for Rs. 250. If he fails to do so, he has to sell each watch for Rs. 100.

If he produces 1,500 watches, what is the number of watches that he must sell during the season in order to break-even, given that he is able to sell all the watches produced?

A
500
B
700
C
800
D
1,000
Answer key/Solution
Solution:
From the previous solution, we can see that the total expense incurred by him in manufacturing 1,500 watches = Rs.2,55,000. In order to break-even, he has to make a minimum revenue in order to recover his expenditure. He gets Rs. 250 per watch sold and Rs. 100 on every watch not sold. Let him sell x watches to break-even. So our equation will be 250x + 100(1500 – x) = 255000. Solving this, we get x = 700 watches.
Q.No: 12
Test Name : CAT Paper 1996

Direction for questions 124 and 125: Answer the questions based on the following information. A salesman enters the quantity sold and the price into the computer. Both the numbers are two-digit numbers. But, by mistake, both the numbers were entered with their digits interchanged. The total sales value remained the same, i.e. Rs. 1,148, but the inventory reduced by 54.

What is the actual price per piece?

A
Rs. 82
B
Rs. 41
C
Rs. 6
D
Rs. 28
Answer key/Solution
Solution:
Q.No: 13
Test Name : CAT Paper 1996

Direction for questions 124 and 125: Answer the questions based on the following information. A salesman enters the quantity sold and the price into the computer. Both the numbers are two-digit numbers. But, by mistake, both the numbers were entered with their digits interchanged. The total sales value remained the same, i.e. Rs. 1,148, but the inventory reduced by 54.

What is the actual quantity sold?

A
28
B
14
C
82
D
41
Answer key/Solution
Solution:
Q.No: 14
Test Name : CAT Paper 1996

In a locality, two-thirds of the people have cable TV, one-fifth have VCR, and one-tenth have both. What is the fraction of people having either cable -TV or VCR?

A
B
C
D
Answer key/Solution
Solution:
Q.No: 15
Test Name : CAT Paper 2003 (L)
DIRECTIONS for Questions 83 to 85: Answer the questions on the basis of the information given below.

Rang Barsey Paint Company (RBPC) is in the business of manufacturing paints. RBPC buys RED, YELLOW, WHITE, ORANGE, and PINK paints. ORANGE paint can be also produced by mixing RED and YELLOW paints in equal proportions. Similarly, PINK paint can also be produced by mixing equal amounts of RED and WHITE paints. Among other paints, RBPC sells CREAM paint, (formed by mixing WHITE and YELLOW in the ratio 70:30) AVOCADO paint (formed by mixing equal amounts of ORANGE and PINK paint) and WASHEDORANGE paint (formed by mixing equal amounts of ORANGE and WHITE paint). The following table provides the price at which RBPC buys paints.

The cheapest way to manufacture AVOCADO paint would cost

A
Rs. 19.50 per litre.
B
Rs. 19.75 per litre
C
Rs. 20.00 per litre.
D
Rs. 20.25 per litre.
Answer key/Solution
Solution:
Q.No: 16
Test Name : CAT Paper 2003 (L)
DIRECTIONS for Questions 83 to 85: Answer the questions on the basis of the information given below.

Rang Barsey Paint Company (RBPC) is in the business of manufacturing paints. RBPC buys RED, YELLOW, WHITE, ORANGE, and PINK paints. ORANGE paint can be also produced by mixing RED and YELLOW paints in equal proportions. Similarly, PINK paint can also be produced by mixing equal amounts of RED and WHITE paints. Among other paints, RBPC sells CREAM paint, (formed by mixing WHITE and YELLOW in the ratio 70:30) AVOCADO paint (formed by mixing equal amounts of ORANGE and PINK paint) and WASHEDORANGE paint (formed by mixing equal amounts of ORANGE and WHITE paint). The following table provides the price at which RBPC buys paints.

WASHEDORANGE can be manufactured by mixing

A
CREAM and RED in the ratio 14:10.
B
CREAM and RED in the ratio 3:1.
C
YELLOW and PINK in the ratio 1:1.
D
RED, YELLOW, and WHITE in the ratio 1:1:2.
Answer key/Solution
Solution:
Mixing equal amounts of ORANGE and WHITE can make WASHEDORANGE, ORANGE can be made by mixing equal amounts of RED and YELLOW. So the ratio of RED, YELLOW and WHITE is 1 : 1 : 2
Q.No: 17
Test Name : CAT Paper 2003 (L)
DIRECTIONS for Questions 83 to 85: Answer the questions on the basis of the information given below.

Rang Barsey Paint Company (RBPC) is in the business of manufacturing paints. RBPC buys RED, YELLOW, WHITE, ORANGE, and PINK paints. ORANGE paint can be also produced by mixing RED and YELLOW paints in equal proportions. Similarly, PINK paint can also be produced by mixing equal amounts of RED and WHITE paints. Among other paints, RBPC sells CREAM paint, (formed by mixing WHITE and YELLOW in the ratio 70:30) AVOCADO paint (formed by mixing equal amounts of ORANGE and PINK paint) and WASHEDORANGE paint (formed by mixing equal amounts of ORANGE and WHITE paint). The following table provides the price at which RBPC buys paints.

Assume that AVOCADO, CREAM and WASHEDORANGE each sells for the same price. Which of the three is the most profitable to manufacture?

A
AVOCADO
B
CREAM
C
WASHEDORANGE
D
Sufficient data is not available.
Answer key/Solution
Solution:
Q.No: 18
Test Name : CAT Paper 2003 (L)
DIRECTIONS for Questions 86 to 88: Answer the questions on the basis of the information given below.

Seven varsity basketball players (A, B, C, D, E, F, and G) are to be honoured at a special luncheon. The players will be seated on the dais in a row. A and G have to leave the luncheon early and so must be seated at the extreme right. B will receive the most valuable player's trophy and so must be in the centre to facilitate presentation. C and D are bitter rivals and therefore must be seated as far apart as possible.8

Which of the following cannot be seated at either end?

A
C
B
D
C
F
D
G
Answer key/Solution
Solution:

From given options, F is the only possibility.
Q.No: 19
Test Name : CAT Paper 2003 (L)
DIRECTIONS for Questions 86 to 88: Answer the questions on the basis of the information given below.

Seven varsity basketball players (A, B, C, D, E, F, and G) are to be honoured at a special luncheon. The players will be seated on the dais in a row. A and G have to leave the luncheon early and so must be seated at the extreme right. B will receive the most valuable player's trophy and so must be in the centre to facilitate presentation. C and D are bitter rivals and therefore must be seated as far apart as possible.8

Which of the following pairs cannot be seated together?

A
B & D
B
C & F
C
D & G
D
E & A
Answer key/Solution
Solution:

If we look at the options, D and G can sit together. C and F can sit together B and D can sit together. Hence, E and A is the only option which is not possible.
Q.No: 20
Test Name : CAT Paper 2003 (L)
DIRECTIONS for Questions 86 to 88: Answer the questions on the basis of the information given below.

Seven varsity basketball players (A, B, C, D, E, F, and G) are to be honoured at a special luncheon. The players will be seated on the dais in a row. A and G have to leave the luncheon early and so must be seated at the extreme right. B will receive the most valuable player's trophy and so must be in the centre to facilitate presentation. C and D are bitter rivals and therefore must be seated as far apart as possible.8

Which of the following pairs cannot occupy the seats on either side of B?

A
F & D
B
D & E
C
E & G
D
C & F
Answer key/Solution
Solution:

E and G is the only possibility.
Q.No: 21
Test Name : CAT Paper 2003 (L)
DIRECTIONS for Questions 95 to 97: Answer the questions on the basis of the information given below.

Five women decided to go shopping to M.G. Road, Bangalore. They arrived at the designated meeting place in the following order: 1. Archana, 2. Chellamma, 3. Dhenuka, 4. Helen, and 5. Shahnaz. Each woman spent at least Rs. 1000. Below are some additional facts about how much they spent during their shopping spree.

i. The woman who spent Rs. 2234 arrived before the lady who spent Rs. 1193.
ii. One woman spent Rs. 1340 and she was not Dhenuka.
iii. One woman spent Rs. 1378 more than Chellamma.
iv. One woman spent Rs. 2517 and she was not Archana.
v. Helen spent more than Dhenuka.
vi. Shahnaz spent the largest amount and Chellamma the smallest.

What was the amount spent by Helen?

A
Rs. 1193
B
Rs. 1340
C
Rs. 2234
D
Rs. 2517
Answer key/Solution
Solution:
Q.No: 22
Test Name : CAT Paper 2003 (L)
DIRECTIONS for Questions 95 to 97: Answer the questions on the basis of the information given below.

Five women decided to go shopping to M.G. Road, Bangalore. They arrived at the designated meeting place in the following order: 1. Archana, 2. Chellamma, 3. Dhenuka, 4. Helen, and 5. Shahnaz. Each woman spent at least Rs. 1000. Below are some additional facts about how much they spent during their shopping spree.

i. The woman who spent Rs. 2234 arrived before the lady who spent Rs. 1193.
ii. One woman spent Rs. 1340 and she was not Dhenuka.
iii. One woman spent Rs. 1378 more than Chellamma.
iv. One woman spent Rs. 2517 and she was not Archana.
v. Helen spent more than Dhenuka.
vi. Shahnaz spent the largest amount and Chellamma the smallest.

Which of the following amounts was spent by one of them?

A
Rs. 1139
B
Rs. 1378
C
Rs. 2571
D
Rs. 2718
Answer key/Solution
Solution:
Q.No: 23
Test Name : CAT Paper 2003 (L)
DIRECTIONS for Questions 95 to 97: Answer the questions on the basis of the information given below.

Five women decided to go shopping to M.G. Road, Bangalore. They arrived at the designated meeting place in the following order: 1. Archana, 2. Chellamma, 3. Dhenuka, 4. Helen, and 5. Shahnaz. Each woman spent at least Rs. 1000. Below are some additional facts about how much they spent during their shopping spree.

i. The woman who spent Rs. 2234 arrived before the lady who spent Rs. 1193.
ii. One woman spent Rs. 1340 and she was not Dhenuka.
iii. One woman spent Rs. 1378 more than Chellamma.
iv. One woman spent Rs. 2517 and she was not Archana.
v. Helen spent more than Dhenuka.
vi. Shahnaz spent the largest amount and Chellamma the smallest.

The woman who spent Rs. 1193 is

A
Archana
B
Chellamma
C
Dhenuka
D
Helen
Answer key/Solution
Solution:
Q.No: 24
Test Name : CAT 2018 Actual Paper Slot 1
Directions for questions 47 to 50: Adriana, Bandita, Chitra, and Daisy are four female students, and Amit, Barun, Chetan, and Deb are four male students. Each of them studies in one of three institutes - X, Y, and Z. Each student majors in one subject among Marketing, Operations, and Finance, and minors in a different one among these three subjects. The following facts are known about the eight students:
Three students are from X, three are from Y, and the remaining two students, both female, are from Z.
Both the male students from Y minor in Finance, while the female student from Y majors in Operations.
Only one male student majors in Operations, while three female students minor in Marketing.
One female and two male students major in Finance.
Adriana and Deb are from the same institute. Daisy and Amit are from the same institute.
Barun is from Y and majors in Operations. Chetan is from X and majors in Finance.
Daisy minors in Operations.

Who are the students from the institute Z?

A
Adriana and Bandita
B
Chitra and Daisy
C
Adriana and Daisy
D
Bandita and Chitra
Answer key/Solution
Solution:
Q.No: 25
Test Name : CAT 2018 Actual Paper Slot 1
Directions for questions 47 to 50: Adriana, Bandita, Chitra, and Daisy are four female students, and Amit, Barun, Chetan, and Deb are four male students. Each of them studies in one of three institutes - X, Y, and Z. Each student majors in one subject among Marketing, Operations, and Finance, and minors in a different one among these three subjects. The following facts are known about the eight students:
Three students are from X, three are from Y, and the remaining two students, both female, are from Z.
Both the male students from Y minor in Finance, while the female student from Y majors in Operations.
Only one male student majors in Operations, while three female students minor in Marketing.
One female and two male students major in Finance.
Adriana and Deb are from the same institute. Daisy and Amit are from the same institute.
Barun is from Y and majors in Operations. Chetan is from X and majors in Finance.
Daisy minors in Operations.

Which subject does Deb minor in?

A
Cannot be determined uniquely from the given information
B
Finance
C
Operations
D
Marketing
Answer key/Solution
Solution:
Q.No: 26
Test Name : CAT 2018 Actual Paper Slot 1
Directions for questions 47 to 50: Adriana, Bandita, Chitra, and Daisy are four female students, and Amit, Barun, Chetan, and Deb are four male students. Each of them studies in one of three institutes - X, Y, and Z. Each student majors in one subject among Marketing, Operations, and Finance, and minors in a different one among these three subjects. The following facts are known about the eight students:
Three students are from X, three are from Y, and the remaining two students, both female, are from Z.
Both the male students from Y minor in Finance, while the female student from Y majors in Operations.
Only one male student majors in Operations, while three female students minor in Marketing.
One female and two male students major in Finance.
Adriana and Deb are from the same institute. Daisy and Amit are from the same institute.
Barun is from Y and majors in Operations. Chetan is from X and majors in Finance.
Daisy minors in Operations.

If Chitra majors in Finance, which subject does Bandita major in?

A
Marketing
B
Cannot be determined uniquely from the given information
C
Operations
D
Finance
Answer key/Solution
Solution:
Q.No: 27
Test Name : CAT 2018 Actual Paper Slot 1
Directions for questions 51 to 54: An ATM dispenses exactly Rs. 5000 per withdrawal using 100, 200 and 500 rupee notes. The ATM requires every customer to give her preference for one of the three denominations of notes. It then dispenses notes such that the number of notes of the customer’s preferred denomination exceeds the total number of notes of other denominations dispensed to her.

In how many different ways can the ATM serve a customer who gives 500 rupee notes as her preference?

Answer key/Solution
Solution:
Q.No: 28
Test Name : CAT 2018 Actual Paper Slot 1
Directions for questions 51 to 54: An ATM dispenses exactly Rs. 5000 per withdrawal using 100, 200 and 500 rupee notes. The ATM requires every customer to give her preference for one of the three denominations of notes. It then dispenses notes such that the number of notes of the customer’s preferred denomination exceeds the total number of notes of other denominations dispensed to her.

What is the number of 500 rupee notes required to serve 50 customers with 500 rupee notes as their preferences and another 50 customers with 100 rupee notes as their preferences, if the total number of notes to be dispensed is the smallest possible?

A
1400
B
800
C
750
D
900
Answer key/Solution
Solution:
Q.No: 29
Test Name : CAT 2018 Actual Paper Slot 1
Directions for questions 55 to 58: Fuel contamination levels at each of 20 petrol pumps P1, P2, …, P20 were recorded as either high, medium, or low.
Contamination levels at three pumps among P1 – P5 were recorded as high.
P6 was the only pump among P1 – P10 where the contamination level was recorded as low.
P7 and P8 were the only two consecutively numbered pumps where the same levels of contamination were recorded.
High contamination levels were not recorded at any of the pumps P16 – P20.
The number of pumps where high contamination levels were recorded was twice the number of pumps where low contamination levels were recorded.

Which of the following MUST be true?

A
The contamination level at P12 was recorded as high.
B
The contamination level at P13 was recorded as low.
C
The contamination level at P20 was recorded as medium.
D
The contamination level at P10 was recorded as high.
Answer key/Solution
Solution:
Q.No: 30
Test Name : CAT 2018 Actual Paper Slot 1
Directions for questions 55 to 58: Fuel contamination levels at each of 20 petrol pumps P1, P2, …, P20 were recorded as either high, medium, or low.
Contamination levels at three pumps among P1 – P5 were recorded as high.
P6 was the only pump among P1 – P10 where the contamination level was recorded as low.
P7 and P8 were the only two consecutively numbered pumps where the same levels of contamination were recorded.
High contamination levels were not recorded at any of the pumps P16 – P20.
The number of pumps where high contamination levels were recorded was twice the number of pumps where low contamination levels were recorded.

If the contamination level at P11 was recorded as low, then which of the following MUST be true?

A
The contamination level at P12 was recorded as high.
B
The contamination level at P18 was recorded as low.
C
The contamination level at P15 was recorded as medium.
D
The contamination level at P14 was recorded as medium.
Answer key/Solution
Solution:
Q.No: 31
Test Name : CAT 2018 Actual Paper Slot 1
Directions for questions 59 to 62: You are given an n×n square matrix to be filled with numerals so that no two adjacent cells have the same numeral. Two cells are called adjacent if they touch each other horizontally, vertically or diagonally. So a cell in one of the four corners has three cells adjacent to it, and a cell in the first or last row or column which is not in the corner has five cells adjacent to it. Any other cell has eight cells adjacent to it.

What is the minimum number of different numerals needed to fill a 3×3 square matrix?

Answer key/Solution
Solution:
Q.No: 32
Test Name : CAT 2018 Actual Paper Slot 1
Directions for questions 59 to 62: You are given an n×n square matrix to be filled with numerals so that no two adjacent cells have the same numeral. Two cells are called adjacent if they touch each other horizontally, vertically or diagonally. So a cell in one of the four corners has three cells adjacent to it, and a cell in the first or last row or column which is not in the corner has five cells adjacent to it. Any other cell has eight cells adjacent to it.

What is the minimum number of different numerals needed to fill a 5×5 square matrix?

Answer key/Solution
Solution:
Q.No: 33
Test Name : CAT 2018 Actual Paper Slot 1
Directions for questions 59 to 62: You are given an n×n square matrix to be filled with numerals so that no two adjacent cells have the same numeral. Two cells are called adjacent if they touch each other horizontally, vertically or diagonally. So a cell in one of the four corners has three cells adjacent to it, and a cell in the first or last row or column which is not in the corner has five cells adjacent to it. Any other cell has eight cells adjacent to it.

Suppose you are allowed to make one mistake, that is, one pair of adjacent cells can have the same numeral. What is the minimum number of different numerals required to fill a 5×5 matrix?

A
16
B
4
C
9
D
25
Answer key/Solution
Solution:
Q.No: 34
Test Name : CAT 2018 Actual Paper Slot 1
Directions for questions 55 to 58: Fuel contamination levels at each of 20 petrol pumps P1, P2, …, P20 were recorded as either high, medium, or low.
Contamination levels at three pumps among P1 – P5 were recorded as high.
P6 was the only pump among P1 – P10 where the contamination level was recorded as low.
P7 and P8 were the only two consecutively numbered pumps where the same levels of contamination were recorded.
High contamination levels were not recorded at any of the pumps P16 – P20.
The number of pumps where high contamination levels were recorded was twice the number of pumps where low contamination levels were recorded.

What best can be said about the number of pumps at which the contamination levels were recorded as medium?

A
At most 9
B
At least 8
C
More than 4
D
Exactly 8
Answer key/Solution
Solution:
Q.No: 35
Test Name : CAT 2018 Actual Paper Slot 1
Directions for questions 59 to 62: You are given an n×n square matrix to be filled with numerals so that no two adjacent cells have the same numeral. Two cells are called adjacent if they touch each other horizontally, vertically or diagonally. So a cell in one of the four corners has three cells adjacent to it, and a cell in the first or last row or column which is not in the corner has five cells adjacent to it. Any other cell has eight cells adjacent to it.

Suppose that all the cells adjacent to any particular cell must have different numerals. What is the minimum number of different numerals needed to fill a 5×5 square matrix?

A
9
B
16
C
4
D
25
Answer key/Solution
Solution:
Q.No: 36
Test Name : CAT 2018 Actual Paper Slot 1
Directions for questions 51 to 54: An ATM dispenses exactly Rs. 5000 per withdrawal using 100, 200 and 500 rupee notes. The ATM requires every customer to give her preference for one of the three denominations of notes. It then dispenses notes such that the number of notes of the customer’s preferred denomination exceeds the total number of notes of other denominations dispensed to her.

What is the maximum number of customers that the ATM can serve with a stock of fifty 500 rupee notes and a sufficient number of notes of other denominations, if all the customers are to be served with at most 20 notes per withdrawal?

A
16
B
10
C
12
D
13
Answer key/Solution
Solution:
Q.No: 37
Test Name : CAT 2018 Actual Paper Slot 1
Directions for questions 51 to 54: An ATM dispenses exactly Rs. 5000 per withdrawal using 100, 200 and 500 rupee notes. The ATM requires every customer to give her preference for one of the three denominations of notes. It then dispenses notes such that the number of notes of the customer’s preferred denomination exceeds the total number of notes of other denominations dispensed to her.

If the ATM could serve only 10 customers with a stock of fifty 500 rupee notes and a sufficient number of notes of other denominations, what is the maximum number of customers among these 10 who could have given 500 rupee notes as their preferences?

Answer key/Solution
Solution:
Q.No: 38
Test Name : CAT 2018 Actual Paper Slot 1
Directions for questions 55 to 58: Fuel contamination levels at each of 20 petrol pumps P1, P2, …, P20 were recorded as either high, medium, or low.
Contamination levels at three pumps among P1 – P5 were recorded as high.
P6 was the only pump among P1 – P10 where the contamination level was recorded as low.
P7 and P8 were the only two consecutively numbered pumps where the same levels of contamination were recorded.
High contamination levels were not recorded at any of the pumps P16 – P20.
The number of pumps where high contamination levels were recorded was twice the number of pumps where low contamination levels were recorded.

If contamination level at P15 was recorded as medium, then which of the following MUST be FALSE?

A
Contamination levels at P13 and P17 were recorded as the same.
B
Contamination levels at P11 and P16 were recorded as the same.
C
Contamination levels at P10 and P14 were recorded as the same.
D
Contamination level at P14 was recorded to be higher than that at P15.
Answer key/Solution
Solution:
Q.No: 39
Test Name : CAT 2018 Actual Paper Slot 1
Directions for questions 47 to 50: Adriana, Bandita, Chitra, and Daisy are four female students, and Amit, Barun, Chetan, and Deb are four male students. Each of them studies in one of three institutes - X, Y, and Z. Each student majors in one subject among Marketing, Operations, and Finance, and minors in a different one among these three subjects. The following facts are known about the eight students:
Three students are from X, three are from Y, and the remaining two students, both female, are from Z.
Both the male students from Y minor in Finance, while the female student from Y majors in Operations.
Only one male student majors in Operations, while three female students minor in Marketing.
One female and two male students major in Finance.
Adriana and Deb are from the same institute. Daisy and Amit are from the same institute.
Barun is from Y and majors in Operations. Chetan is from X and majors in Finance.
Daisy minors in Operations.

Which subject does Amit major in?

A
Cannot be determined uniquely from the given information
B
Finance
C
Marketing
D
Operations
Answer key/Solution
Solution:
Q.No: 40
Test Name : CAT 2018 Actual Paper Slot 2
Directions for questions 39 to 42: Seven candidates, Akil, Balaram, Chitra, Divya, Erina, Fatima, and Ganeshan, were invited to interview for a position. Candidates were required to reach the venue before 8 am. Immediately upon arrival, they were sent to one of three interview rooms: 101, 102, and 103. The following venue log shows the arrival times for these candidates. Some of the names have not been recorded in the log and have been marked as ‘?’.



Additionally here are some statements from the candidates:

Balaram: I was the third person to enter Room 101.
Chitra: I was the last person to enter the room I was allotted to.
Erina: I was the only person in the room I was allotted to.
Fatima: Three people including Akil were already in the room that I was allotted to when I entered it.
Ganeshan: I was one among the two candidates allotted to Room 102.

What best can be said about the room to which Divya was allotted?

A
Definitely Room 103
B
Definitely Room 101
C
Definitely Room 102
D
Either Room 101 or Room 102
Answer key/Solution
Solution:
Q.No: 41
Test Name : CAT 2018 Actual Paper Slot 2
Directions for questions 39 to 42: Seven candidates, Akil, Balaram, Chitra, Divya, Erina, Fatima, and Ganeshan, were invited to interview for a position. Candidates were required to reach the venue before 8 am. Immediately upon arrival, they were sent to one of three interview rooms: 101, 102, and 103. The following venue log shows the arrival times for these candidates. Some of the names have not been recorded in the log and have been marked as ‘?’.



Additionally here are some statements from the candidates:

Balaram: I was the third person to enter Room 101.
Chitra: I was the last person to enter the room I was allotted to.
Erina: I was the only person in the room I was allotted to.
Fatima: Three people including Akil were already in the room that I was allotted to when I entered it.
Ganeshan: I was one among the two candidates allotted to Room 102.

If Ganeshan entered the venue before Divya, when did Balaram enter the venue?

A
7:25 am
B
7:10 am
C
7:15 am
D
7:45 am
Answer key/Solution
Solution:
Q.No: 42
Test Name : CAT 2018 Actual Paper Slot 2
Directions for questions 47 to 50: According to a coding scheme the sentence
Peacock is designated as the national bird of India is coded as
5688999 35 1135556678 56 458 13666689 1334 79 13366

This coding scheme has the following rules:

1. The scheme is case-insensitive (does not distinguish between upper case and lower case letters).
2. Each letter has a unique code which is a single digit from among 1,2,3, …, 9.
3. The digit 9 codes two letters, and every other digit codes three letters.
4. The code for a word is constructed by arranging the digits corresponding to its letters in a non-decreasing sequence.

Answer these questions on the basis of this information.

What best can be concluded about the code for the letter B?

A
3 or 4
B
3
C
1 or 3 or 4
D
1
Answer key/Solution
Solution:
1. Looking at the code for words “is” and “as” it can be deduced that i = 3, s = 5, a = 6.
2. Now looking at the code for “Peacock”, digit 9 has only two letters according to statement 3 and 9 comes 3 times in Peacocks code. Since 9 cannot be associated with 3 individual letters, a letter associated with 9 must occur twice. Only “c” occurs twice. So c = 9.
3. Similarly, looking at the code for “National”, digit 6 occurs 4 times and code for i = 3. So 6 should be equal to two letters occurring twice respectively. Those digits are “a” and “n”.
4. Between “Peacock” and “National”, letter “o” and digits “8” and “9” are common. Since, a = 8. So o = 9.
5. Between “The” and “National”, letter “t” and digit “8” are common. So t = 8, l = 1.
6. Similarly, between “The" and “Peacock", only letter "e" is common. So e = 5, h = 4.
7. In the code for “Of”, o = 9, f = 7.
8. Looking at code for “Designated”, i = 3, n = 6, a = 6, t = 8, e = 5 and between “Designated” and “Bird”, letters “I” and “d” are common, digits “1” and “3” are common. Since i = 3, so d = 1.
9. In the code for “Designated”, g=7.
Check the following table for final codes for every letter.

In the code “Bird”, i = 3, d = 1. So B can be either 3 or 4. Answer is 3 or 4.
Q.No: 43
Test Name : CAT 2018 Actual Paper Slot 2
Directions for questions 39 to 42: Seven candidates, Akil, Balaram, Chitra, Divya, Erina, Fatima, and Ganeshan, were invited to interview for a position. Candidates were required to reach the venue before 8 am. Immediately upon arrival, they were sent to one of three interview rooms: 101, 102, and 103. The following venue log shows the arrival times for these candidates. Some of the names have not been recorded in the log and have been marked as ‘?’.



Additionally here are some statements from the candidates:

Balaram: I was the third person to enter Room 101.
Chitra: I was the last person to enter the room I was allotted to.
Erina: I was the only person in the room I was allotted to.
Fatima: Three people including Akil were already in the room that I was allotted to when I entered it.
Ganeshan: I was one among the two candidates allotted to Room 102.

Who else was in Room 102 when Ganeshan entered?

A
No one
B
Divya
C
Akil
D
Chitra
Answer key/Solution
Solution:
Q.No: 44
Test Name : CAT 2018 Actual Paper Slot 2
Directions for questions 47 to 50: According to a coding scheme the sentence
Peacock is designated as the national bird of India is coded as
5688999 35 1135556678 56 458 13666689 1334 79 13366

This coding scheme has the following rules:

1. The scheme is case-insensitive (does not distinguish between upper case and lower case letters).
2. Each letter has a unique code which is a single digit from among 1,2,3, …, 9.
3. The digit 9 codes two letters, and every other digit codes three letters.
4. The code for a word is constructed by arranging the digits corresponding to its letters in a non-decreasing sequence.

Answer these questions on the basis of this information.

For how many digits can the complete list of letters associated with that digit be identified?

A
0
B
2
C
3
D
1
Answer key/Solution
Solution:
1. Looking at the code for words “is” and “as” it can be deduced that i = 3, s = 5, a = 6.
2. Now looking at the code for “Peacock”, digit 9 has only two letters according to statement 3 and 9 comes 3 times in Peacocks code. Since 9 cannot be associated with 3 individual letters, a letter associated with 9 must occur twice. Only “c” occurs twice. So c = 9.
3. Similarly, looking at the code for “National”, digit 6 occurs 4 times and code for i = 3. So 6 should be equal to two letters occurring twice respectively. Those digits are “a” and “n”.
4. Between “Peacock” and “National”, letter “o” and digits “8” and “9” are common. Since, a = 8. So o = 9.
5. Between “The” and “National”, letter “t” and digit “8” are common. So t = 8, l = 1.
6. Similarly, between “The" and “Peacock", only letter "e" is common. So e = 5, h = 4.
7. In the code for “Of”, o = 9, f = 7.
8. Looking at code for “Designated”, i = 3, n = 6, a = 6, t = 8, e = 5 and between “Designated” and “Bird”, letters “I” and “d” are common, digits “1” and “3” are common. Since i = 3, so d = 1.
9. In the code for “Designated”, g=7.
Check the following table for final codes for every letter.

For digits “8” and “9” can the complete list of letters be identified. So answer is 2.
Q.No: 45
Test Name : CAT 2018 Actual Paper Slot 2
Directions for questions 47 to 50: According to a coding scheme the sentence
Peacock is designated as the national bird of India is coded as
5688999 35 1135556678 56 458 13666689 1334 79 13366

This coding scheme has the following rules:

1. The scheme is case-insensitive (does not distinguish between upper case and lower case letters).
2. Each letter has a unique code which is a single digit from among 1,2,3, …, 9.
3. The digit 9 codes two letters, and every other digit codes three letters.
4. The code for a word is constructed by arranging the digits corresponding to its letters in a non-decreasing sequence.

Answer these questions on the basis of this information.

What best can be concluded about the code for the letter L?

A
1 or 8
B
8
C
6
D
1
Answer key/Solution
Solution:
1. Looking at the code for words “is” and “as” it can be deduced that i = 3, s = 5, a = 6.
2. Now looking at the code for “Peacock”, digit 9 has only two letters according to statement 3 and 9 comes 3 times in Peacocks code. Since 9 cannot be associated with 3 individual letters, a letter associated with 9 must occur twice. Only “c” occurs twice. So c = 9.
3. Similarly, looking at the code for “National”, digit 6 occurs 4 times and code for i = 3. So 6 should be equal to two letters occurring twice respectively. Those digits are “a” and “n”.
4. Between “Peacock” and “National”, letter “o” and digits “8” and “9” are common. Since, a = 8. So o = 9.
5. Between “The” and “National”, letter “t” and digit “8” are common. So t = 8, l = 1.
6. Similarly, between “The" and “Peacock", only letter "e" is common. So e = 5, h = 4.
7. In the code for “Of”, o = 9, f = 7.
8. Looking at code for “Designated”, i = 3, n = 6, a = 6, t = 8, e = 5 and between “Designated” and “Bird”, letters “I” and “d” are common, digits “1” and “3” are common. Since i = 3, so d = 1.
9. In the code for “Designated”, g=7.
Check the following table for final codes for every letter.

Code for L = 1 from the above table.
Q.No: 46
Test Name : CAT 2018 Actual Paper Slot 2
Directions for questions 47 to 50: According to a coding scheme the sentence
Peacock is designated as the national bird of India is coded as
5688999 35 1135556678 56 458 13666689 1334 79 13366

This coding scheme has the following rules:

1. The scheme is case-insensitive (does not distinguish between upper case and lower case letters).
2. Each letter has a unique code which is a single digit from among 1,2,3, …, 9.
3. The digit 9 codes two letters, and every other digit codes three letters.
4. The code for a word is constructed by arranging the digits corresponding to its letters in a non-decreasing sequence.

Answer these questions on the basis of this information.

Which set of letters CANNOT be coded with the same digit?

A
S,E,Z
B
S,U,V
C
X,Y,Z
D
I,B,M
Answer key/Solution
Solution:
1. Looking at the code for words “is” and “as” it can be deduced that i = 3, s = 5, a = 6.
2. Now looking at the code for “Peacock”, digit 9 has only two letters according to statement 3 and 9 comes 3 times in Peacocks code. Since 9 cannot be associated with 3 individual letters, a letter associated with 9 must occur twice. Only “c” occurs twice. So c = 9.
3. Similarly, looking at the code for “National”, digit 6 occurs 4 times and code for i = 3. So 6 should be equal to two letters occurring twice respectively. Those digits are “a” and “n”.
4. Between “Peacock” and “National”, letter “o” and digits “8” and “9” are common. Since, a = 8. So o = 9.
5. Between “The” and “National”, letter “t” and digit “8” are common. So t = 8, l = 1.
6. Similarly, between “The" and “Peacock", only letter "e" is common. So e = 5, h = 4.
7. In the code for “Of”, o = 9, f = 7.
8. Looking at code for “Designated”, i = 3, n = 6, a = 6, t = 8, e = 5 and between “Designated” and “Bird”, letters “I” and “d” are common, digits “1” and “3” are common. Since i = 3, so d = 1.
9. In the code for “Designated”, g=7.
Check the following table for final codes for every letter.

For option 1, S and E have same code. So this can’t be the answer
For option 3, X, Y, Z can have same code. So this can’t be the answer.
For option 4, B can be 3 same as I. Again this is not the answer.
So only option is S, U, V. Since S and E are already associated with 5, and it can have a maximum of 3 letters.
S, U, V cannot be associated to the same number.
Q.No: 47
Test Name : CAT 2018 Actual Paper Slot 2
Directions for questions 39 to 42: Seven candidates, Akil, Balaram, Chitra, Divya, Erina, Fatima, and Ganeshan, were invited to interview for a position. Candidates were required to reach the venue before 8 am. Immediately upon arrival, they were sent to one of three interview rooms: 101, 102, and 103. The following venue log shows the arrival times for these candidates. Some of the names have not been recorded in the log and have been marked as ‘?’.



Additionally here are some statements from the candidates:

Balaram: I was the third person to enter Room 101.
Chitra: I was the last person to enter the room I was allotted to.
Erina: I was the only person in the room I was allotted to.
Fatima: Three people including Akil were already in the room that I was allotted to when I entered it.
Ganeshan: I was one among the two candidates allotted to Room 102.

When did Erina reach the venue?

A
7:15 am
B
7:10 am
C
7:45 am
D
7:25 am
Answer key/Solution
Solution:
Q.No: 48
Test Name : CAT Actual Paper 2020 Slot-1
Question Numbers (37 to 42): Answer the questions on the basis of the information given below.

Four institutes, A, B, C, and D, had contracts with four vendors W, X, Y, and Z during the ten calendar years from 2010 to 2019. The contracts were either multi-year contracts running for several consecutive years or singleyear contracts. No institute had more than one contract with the same vendor. However, in a calendar year, an institute may have had contracts with multiple vendors, and a vendor may have had contracts with multiple institutes. It is known that over the decade, the institutes each got into two contracts with two of these vendors, and each vendor got into two contracts with two of these institutes.

The following facts are also known about these contracts.
I. Vendor Z had at least one contract in every year.
II. Vendor X had one or more contracts in every year up to 2015, but no contract in any year after that.
III. Vendor Y had contracts in 2010 and 2019. Vendor W had contracts only in 2012.
IV. There were five contracts in 2012.
V. There were exactly four multi-year contracts. Institute B had a 7-year contract, D had a 4-year contract, and A and C had one 3-year contract each. The other four contracts were single-year contracts.
VI. Institute C had one or more contracts in 2012 but did not have any contract in 2011.
VII. Institutes B and D each had exactly one contract in 2012. Institute D did not have any contract in 2010.

In which of the following years were there two or more contracts?

A
2015
B
2018
C
2017
D
2016
Answer key/Solution
Solution:
Q.No: 49
Test Name : CAT Actual Paper 2020 Slot-1
Question Numbers (37 to 42): Answer the questions on the basis of the information given below.

Four institutes, A, B, C, and D, had contracts with four vendors W, X, Y, and Z during the ten calendar years from 2010 to 2019. The contracts were either multi-year contracts running for several consecutive years or singleyear contracts. No institute had more than one contract with the same vendor. However, in a calendar year, an institute may have had contracts with multiple vendors, and a vendor may have had contracts with multiple institutes. It is known that over the decade, the institutes each got into two contracts with two of these vendors, and each vendor got into two contracts with two of these institutes.

The following facts are also known about these contracts.
I. Vendor Z had at least one contract in every year.
II. Vendor X had one or more contracts in every year up to 2015, but no contract in any year after that.
III. Vendor Y had contracts in 2010 and 2019. Vendor W had contracts only in 2012.
IV. There were five contracts in 2012.
V. There were exactly four multi-year contracts. Institute B had a 7-year contract, D had a 4-year contract, and A and C had one 3-year contract each. The other four contracts were single-year contracts.
VI. Institute C had one or more contracts in 2012 but did not have any contract in 2011.
VII. Institutes B and D each had exactly one contract in 2012. Institute D did not have any contract in 2010.

In how many years during this period was there only one contract?

A
3
B
5
C
2
D
4
Answer key/Solution
Solution:
Q.No: 50
Test Name : CAT Actual Paper 2020 Slot-1
Question Numbers (37 to 42): Answer the questions on the basis of the information given below.

Four institutes, A, B, C, and D, had contracts with four vendors W, X, Y, and Z during the ten calendar years from 2010 to 2019. The contracts were either multi-year contracts running for several consecutive years or singleyear contracts. No institute had more than one contract with the same vendor. However, in a calendar year, an institute may have had contracts with multiple vendors, and a vendor may have had contracts with multiple institutes. It is known that over the decade, the institutes each got into two contracts with two of these vendors, and each vendor got into two contracts with two of these institutes.

The following facts are also known about these contracts.
I. Vendor Z had at least one contract in every year.
II. Vendor X had one or more contracts in every year up to 2015, but no contract in any year after that.
III. Vendor Y had contracts in 2010 and 2019. Vendor W had contracts only in 2012.
IV. There were five contracts in 2012.
V. There were exactly four multi-year contracts. Institute B had a 7-year contract, D had a 4-year contract, and A and C had one 3-year contract each. The other four contracts were single-year contracts.
VI. Institute C had one or more contracts in 2012 but did not have any contract in 2011.
VII. Institutes B and D each had exactly one contract in 2012. Institute D did not have any contract in 2010.

Which institutes and vendors had more than one contracts in any year?

A
A, D, W, and Z
B
B, W, X, and Z
C
A, B, W, and X
D
B, D, W, and X
Answer key/Solution
Solution:
Q.No: 51
Test Name : CAT Actual Paper 2020 Slot-1
Question Numbers (37 to 42): Answer the questions on the basis of the information given below.

Four institutes, A, B, C, and D, had contracts with four vendors W, X, Y, and Z during the ten calendar years from 2010 to 2019. The contracts were either multi-year contracts running for several consecutive years or singleyear contracts. No institute had more than one contract with the same vendor. However, in a calendar year, an institute may have had contracts with multiple vendors, and a vendor may have had contracts with multiple institutes. It is known that over the decade, the institutes each got into two contracts with two of these vendors, and each vendor got into two contracts with two of these institutes.

The following facts are also known about these contracts.
I. Vendor Z had at least one contract in every year.
II. Vendor X had one or more contracts in every year up to 2015, but no contract in any year after that.
III. Vendor Y had contracts in 2010 and 2019. Vendor W had contracts only in 2012.
IV. There were five contracts in 2012.
V. There were exactly four multi-year contracts. Institute B had a 7-year contract, D had a 4-year contract, and A and C had one 3-year contract each. The other four contracts were single-year contracts.
VI. Institute C had one or more contracts in 2012 but did not have any contract in 2011.
VII. Institutes B and D each had exactly one contract in 2012. Institute D did not have any contract in 2010.

Which of the following is true?

A
B had a contract with Y in 2019
B
D had a contract with X in 2011
C
B had a contract with Z in 2017
D
D had a contract with Y in 2019
Answer key/Solution
Solution:
Q.No: 52
Test Name : CAT Actual Paper 2020 Slot-1
Question Numbers (37 to 42): Answer the questions on the basis of the information given below.

Four institutes, A, B, C, and D, had contracts with four vendors W, X, Y, and Z during the ten calendar years from 2010 to 2019. The contracts were either multi-year contracts running for several consecutive years or singleyear contracts. No institute had more than one contract with the same vendor. However, in a calendar year, an institute may have had contracts with multiple vendors, and a vendor may have had contracts with multiple institutes. It is known that over the decade, the institutes each got into two contracts with two of these vendors, and each vendor got into two contracts with two of these institutes.

The following facts are also known about these contracts.
I. Vendor Z had at least one contract in every year.
II. Vendor X had one or more contracts in every year up to 2015, but no contract in any year after that.
III. Vendor Y had contracts in 2010 and 2019. Vendor W had contracts only in 2012.
IV. There were five contracts in 2012.
V. There were exactly four multi-year contracts. Institute B had a 7-year contract, D had a 4-year contract, and A and C had one 3-year contract each. The other four contracts were single-year contracts.
VI. Institute C had one or more contracts in 2012 but did not have any contract in 2011.
VII. Institutes B and D each had exactly one contract in 2012. Institute D did not have any contract in 2010.

Which institutes had multiple contracts during the same year?

A
B and C only
B
B only
C
A only
D
A and B only
Answer key/Solution
Solution:
Q.No: 53
Test Name : CAT Actual Paper 2020 Slot-1
Question Numbers (37 to 42): Answer the questions on the basis of the information given below.

Four institutes, A, B, C, and D, had contracts with four vendors W, X, Y, and Z during the ten calendar years from 2010 to 2019. The contracts were either multi-year contracts running for several consecutive years or singleyear contracts. No institute had more than one contract with the same vendor. However, in a calendar year, an institute may have had contracts with multiple vendors, and a vendor may have had contracts with multiple institutes. It is known that over the decade, the institutes each got into two contracts with two of these vendors, and each vendor got into two contracts with two of these institutes.

The following facts are also known about these contracts.
I. Vendor Z had at least one contract in every year.
II. Vendor X had one or more contracts in every year up to 2015, but no contract in any year after that.
III. Vendor Y had contracts in 2010 and 2019. Vendor W had contracts only in 2012.
IV. There were five contracts in 2012.
V. There were exactly four multi-year contracts. Institute B had a 7-year contract, D had a 4-year contract, and A and C had one 3-year contract each. The other four contracts were single-year contracts.
VI. Institute C had one or more contracts in 2012 but did not have any contract in 2011.
VII. Institutes B and D each had exactly one contract in 2012. Institute D did not have any contract in 2010.

What BEST can be concluded about the number of contracts in 2010?

A
at least 3
B
at least 4
C
exactly 4
D
exactly 3
Answer key/Solution
Solution:
Solution:

Solution:
He withdrew the smallest amount after the 4th year.

Solution:
He collected the maximum interest after the 1st year.

Solution:
Ghosh Babu withdrew the maximum amount after the 2nd year.

Solution:
As seen from the above table, the total interest collected by Ghosh Babu is Rs.24 on Rs.100. Hence on Rs.50000, it would be Rs.12000.

Solution:


From the above table, it can be seen that the company that had the lowest sales is DAT viz. Rs.6 lakhs.

Solution:


CAT had highest total expenses i.e., Rs.10 lakhs.

Solution:


ANT had lowest profits i.e., Rs.1 lakh.

Solution:


BAT had the highest profits i.e., Rs.2.4 lakhs.

Solution:

Solution:
From the previous solution, we can see that the total expense incurred by him in manufacturing 1,500 watches = Rs.2,55,000. In order to break-even, he has to make a minimum revenue in order to recover his expenditure. He gets Rs. 250 per watch sold and Rs. 100 on every watch not sold. Let him sell x watches to break-even. So our equation will be 250x + 100(1500 – x) = 255000. Solving this, we get x = 700 watches.

Solution:

Solution:

Solution:

Solution:

Solution:
Mixing equal amounts of ORANGE and WHITE can make WASHEDORANGE, ORANGE can be made by mixing equal amounts of RED and YELLOW. So the ratio of RED, YELLOW and WHITE is 1 : 1 : 2

Solution:

Solution:

From given options, F is the only possibility.

Solution:

If we look at the options, D and G can sit together. C and F can sit together B and D can sit together. Hence, E and A is the only option which is not possible.

Solution:

E and G is the only possibility.

Solution:

Solution:

Solution:

Solution:

Solution:

Solution:

Solution:

Solution:

Solution:

Solution:

Solution:

Solution:

Solution:

Solution:

Solution:

Solution:

Solution:

Solution:

Solution:

Solution:

Solution:

Solution:
1. Looking at the code for words “is” and “as” it can be deduced that i = 3, s = 5, a = 6.
2. Now looking at the code for “Peacock”, digit 9 has only two letters according to statement 3 and 9 comes 3 times in Peacocks code. Since 9 cannot be associated with 3 individual letters, a letter associated with 9 must occur twice. Only “c” occurs twice. So c = 9.
3. Similarly, looking at the code for “National”, digit 6 occurs 4 times and code for i = 3. So 6 should be equal to two letters occurring twice respectively. Those digits are “a” and “n”.
4. Between “Peacock” and “National”, letter “o” and digits “8” and “9” are common. Since, a = 8. So o = 9.
5. Between “The” and “National”, letter “t” and digit “8” are common. So t = 8, l = 1.
6. Similarly, between “The" and “Peacock", only letter "e" is common. So e = 5, h = 4.
7. In the code for “Of”, o = 9, f = 7.
8. Looking at code for “Designated”, i = 3, n = 6, a = 6, t = 8, e = 5 and between “Designated” and “Bird”, letters “I” and “d” are common, digits “1” and “3” are common. Since i = 3, so d = 1.
9. In the code for “Designated”, g=7.
Check the following table for final codes for every letter.

In the code “Bird”, i = 3, d = 1. So B can be either 3 or 4. Answer is 3 or 4.

Solution:

Solution:
1. Looking at the code for words “is” and “as” it can be deduced that i = 3, s = 5, a = 6.
2. Now looking at the code for “Peacock”, digit 9 has only two letters according to statement 3 and 9 comes 3 times in Peacocks code. Since 9 cannot be associated with 3 individual letters, a letter associated with 9 must occur twice. Only “c” occurs twice. So c = 9.
3. Similarly, looking at the code for “National”, digit 6 occurs 4 times and code for i = 3. So 6 should be equal to two letters occurring twice respectively. Those digits are “a” and “n”.
4. Between “Peacock” and “National”, letter “o” and digits “8” and “9” are common. Since, a = 8. So o = 9.
5. Between “The” and “National”, letter “t” and digit “8” are common. So t = 8, l = 1.
6. Similarly, between “The" and “Peacock", only letter "e" is common. So e = 5, h = 4.
7. In the code for “Of”, o = 9, f = 7.
8. Looking at code for “Designated”, i = 3, n = 6, a = 6, t = 8, e = 5 and between “Designated” and “Bird”, letters “I” and “d” are common, digits “1” and “3” are common. Since i = 3, so d = 1.
9. In the code for “Designated”, g=7.
Check the following table for final codes for every letter.

For digits “8” and “9” can the complete list of letters be identified. So answer is 2.

Solution:
1. Looking at the code for words “is” and “as” it can be deduced that i = 3, s = 5, a = 6.
2. Now looking at the code for “Peacock”, digit 9 has only two letters according to statement 3 and 9 comes 3 times in Peacocks code. Since 9 cannot be associated with 3 individual letters, a letter associated with 9 must occur twice. Only “c” occurs twice. So c = 9.
3. Similarly, looking at the code for “National”, digit 6 occurs 4 times and code for i = 3. So 6 should be equal to two letters occurring twice respectively. Those digits are “a” and “n”.
4. Between “Peacock” and “National”, letter “o” and digits “8” and “9” are common. Since, a = 8. So o = 9.
5. Between “The” and “National”, letter “t” and digit “8” are common. So t = 8, l = 1.
6. Similarly, between “The" and “Peacock", only letter "e" is common. So e = 5, h = 4.
7. In the code for “Of”, o = 9, f = 7.
8. Looking at code for “Designated”, i = 3, n = 6, a = 6, t = 8, e = 5 and between “Designated” and “Bird”, letters “I” and “d” are common, digits “1” and “3” are common. Since i = 3, so d = 1.
9. In the code for “Designated”, g=7.
Check the following table for final codes for every letter.

Code for L = 1 from the above table.

Solution:
1. Looking at the code for words “is” and “as” it can be deduced that i = 3, s = 5, a = 6.
2. Now looking at the code for “Peacock”, digit 9 has only two letters according to statement 3 and 9 comes 3 times in Peacocks code. Since 9 cannot be associated with 3 individual letters, a letter associated with 9 must occur twice. Only “c” occurs twice. So c = 9.
3. Similarly, looking at the code for “National”, digit 6 occurs 4 times and code for i = 3. So 6 should be equal to two letters occurring twice respectively. Those digits are “a” and “n”.
4. Between “Peacock” and “National”, letter “o” and digits “8” and “9” are common. Since, a = 8. So o = 9.
5. Between “The” and “National”, letter “t” and digit “8” are common. So t = 8, l = 1.
6. Similarly, between “The" and “Peacock", only letter "e" is common. So e = 5, h = 4.
7. In the code for “Of”, o = 9, f = 7.
8. Looking at code for “Designated”, i = 3, n = 6, a = 6, t = 8, e = 5 and between “Designated” and “Bird”, letters “I” and “d” are common, digits “1” and “3” are common. Since i = 3, so d = 1.
9. In the code for “Designated”, g=7.
Check the following table for final codes for every letter.

For option 1, S and E have same code. So this can’t be the answer
For option 3, X, Y, Z can have same code. So this can’t be the answer.
For option 4, B can be 3 same as I. Again this is not the answer.
So only option is S, U, V. Since S and E are already associated with 5, and it can have a maximum of 3 letters.
S, U, V cannot be associated to the same number.

Solution:

Solution:

Solution:

Solution:

Solution:

Solution:

Solution:

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