CASELETS-3 || Data Interpretation || CAT 2021 || 27 October for CAT & MBA Exams

Question 1

Direction: Refer to the following paragraph carefully and answer the questions that follow.

Ghosh Babu took voluntary retirement in Dec. 1991 and received a certain amount of money as retirement benefits. On jan 1, 1992, he invested the entire amount in shares. At the end of the month, he sold all his shares and realized 25% profit. On Feb 1, he reinvested the entire amount in shares which he sold at the end of the month at a loss of 20%. Again, he invested the entire amount on Mar 1 in new company. At the end of the month, he sold the new company to a friend and realized a profit of 20% in the process. He invested the entire amount in shares on Apr 1, which he sold at the end of the month for Rs. 1,08,000 incurring a loss of 10%.

What is the amount of retirement benefits received by Ghosh Babu?

Question 2

Direction: Refer to the following paragraph carefully and answer the questions that follow.

Ghosh Babu took voluntary retirement in Dec. 1991 and received a certain amount of money as retirement benefits. On jan 1, 1992, he invested the entire amount in shares. At the end of the month, he sold all his shares and realized 25% profit. On Feb 1, he reinvested the entire amount in shares which he sold at the end of the month at a loss of 20%. Again, he invested the entire amount on Mar 1 in new company. At the end of the month, he sold the new company to a friend and realized a profit of 20% in the process. He invested the entire amount in shares on Apr 1, which he sold at the end of the month for Rs. 1,08,000 incurring a loss of 10%.

The percentage profit received by Ghosh Babu between jan 1 and Apr 30 is

Question 3

Direction: Refer to the following paragraph carefully and answer the questions that follow.

Ghosh Babu took voluntary retirement in Dec. 1991 and received a certain amount of money as retirement benefits. On jan 1, 1992, he invested the entire amount in shares. At the end of the month, he sold all his shares and realized 25% profit. On Feb 1, he reinvested the entire amount in shares which he sold at the end of the month at a loss of 20%. Again, he invested the entire amount on Mar 1 in new company. At the end of the month, he sold the new company to a friend and realized a profit of 20% in the process. He invested the entire amount in shares on Apr 1, which he sold at the end of the month for Rs. 1,08,000 incurring a loss of 10%.

The maximum amount invested by Ghosh Babu in any one month was in

Question 4

Direction:

Election for the president of Achiever Academy takes place in two rounds. There are four candidates, named P, Q, R and S and total 100 voters. All the voters vote in both rounds of the election. In the first round, candidates P, Q, R and S get 23, 18, 39 and 20 votes respectively, while in the second round they get 37, 31, 15 and 17 votes respectively.

Following points are known about the voting behaviour of the voters:

1. All voters who vote for candidate P in the first round vote for either Q or R in the second round.

2. All voters who vote for candidate Q in the first round vote for either P or R in the second round.

3. All voters who vote for candidate R in the first round vote for either Q or S in the second round.

4. All voters who vote for candidate S in the first round vote for either P or S in the second round.

If we define variables ‘a’ and ‘b’ as follows:

a = The number of voters who voted for P in the first round but for Q in the second round.

b = The number of voters who voted for P in the first round but for R in the second round.

What is the maximum value of |a − b|?

Question 5

Direction:

Election for the president of Achiever Academy takes place in two rounds. There are four candidates, named P, Q, R and S and total 100 voters. All the voters vote in both rounds of the election. In the first round, candidates P, Q, R and S get 23, 18, 39 and 20 votes respectively, while in the second round they get 37, 31, 15 and 17 votes respectively.

Following points are known about the voting behaviour of the voters:

1. All voters who vote for candidate P in the first round vote for either Q or R in the second round.

2. All voters who vote for candidate Q in the first round vote for either P or R in the second round.

3. All voters who vote for candidate R in the first round vote for either Q or S in the second round.

4. All voters who vote for candidate S in the first round vote for either P or S in the second round.

If we define variables ‘a’ and ‘b’ as follows:

a = The number of voters who voted for Q in the first round but for P in the second round. b = The number of voters who voted for Q in the first round but for R in the second round.

What is the minimum value of |a − b|?

Question 6

Direction:

Election for the president of Achiever Academy takes place in two rounds. There are four candidates, named P, Q, R and S and total 100 voters. All the voters vote in both rounds of the election. In the first round, candidates P, Q, R and S get 23, 18, 39 and 20 votes respectively, while in the second round they get 37, 31, 15 and 17 votes respectively.

Following points are known about the voting behaviour of the voters:

1. All voters who vote for candidate P in the first round vote for either Q or R in the second round.

2. All voters who vote for candidate Q in the first round vote for either P or R in the second round.

3. All voters who vote for candidate R in the first round vote for either Q or S in the second round.

4. All voters who vote for candidate S in the first round vote for either P or S in the second round.

If we define variables ‘a’ and ‘b’ as follows:

a = The number of voters who voted for R in the first round but for Q in the second round.

b = The number of voters who voted for R in the first round but for S in the second round.

What is the maximum value of |a − b|?

Question 7

Direction:

Election for the president of Achiever Academy takes place in two rounds. There are four candidates, named P, Q, R and S and total 100 voters. All the voters vote in both rounds of the election. In the first round, candidates P, Q, R and S get 23, 18, 39 and 20 votes respectively, while in the second round they get 37, 31, 15 and 17 votes respectively.

Following points are known about the voting behaviour of the voters:

1. All voters who vote for candidate P in the first round vote for either Q or R in the second round.

2. All voters who vote for candidate Q in the first round vote for either P or R in the second round.

3. All voters who vote for candidate R in the first round vote for either Q or S in the second round.

4. All voters who vote for candidate S in the first round vote for either P or S in the second round.

If we define variables ‘a’ and ‘b’ as follows:

a = The number of voters who voted for S in the first round but for P in the second round.

b = The number of voters who voted for S in the first round but for S in the second round.

What is the minimum value of |a − b|?

Question 8

Direction: Answer the questions based on following data.
The pages of a book are numbered 0, 1, 2 … up to M, M>0. There are four categories of instructions that direct a person in positioning the book at a page. The instruction types and their meanings are :
1. NEW : Position the book at page No. 1
2. END : Position the book at page No. 0
3. ONWARD, n: From the current page move forward by n pages; if, in this process, page number M is reached, stop at M.
4. REGRESS, n: From the current page, move backward by n pages; if in this process, page number 0 is reached, stop at page number 0.
In each of the following questions, you will find a sequence of instructions formed from the above categories. In each case, let n1 be the page number before the instructions are executed and n2 be the page number at which the book is positioned after the instructions are executed.

ONWARD, 25; REGRESS, 10. Which of the following statements is true?

Question 9

REGRESS, 5; ONWARD, 5. Which of the following statements is true about the above set of instructions?

Question 10

ONWARD, 10; ONWARD, 10. Which of the following statements about the above instructions is true?