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DS: CAT 2001: Part 3
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Problems on Data sufficiency from CAT 2001 paper.

## Riya Agarwal is teaching live on Unacademy Plus

Riya Agarwal
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1. 2 DATA SUFFICIENCY g0 Ou 45

2. About Me . I hold a B.E degree in Electronics and Communication Engineering. . CAT, 18: DI & LR-99.59 %ile. You can follow me on Unacademy for complete preparation guide on DILR section for CAT and OMETs S.

3. 2 DATA SUFFICIENCY g0 Ou 45

4. CAT 200

5. Direction for questions 1 to 7: Each question is followed by two statements I and II. Choose 1 if the question can be answered by using one of the statements alone, but cannot be answered using the other statement alone. Choose 2 if the question can be answered by using either statement alone. Choose 3 if the question can be answered by using both statements together, but cannot be answered using either statement alone. Choose 4 if the question cannot be answered even by using both statements together.

6. 1. What are the values of m and n? A. n is an even integer, m is an odd integer, and m is greater than n. B. Product of m and n is 30. (2) 2 (3) 3 (4) 4 2. Is Country X's GDP higher than country Y's GDP? A. GDPs of the countries X and Y have grown over the past five years at compounded annual rate of 5% and 6% respectively. Five years ago, GDP of country X was higher than that of country Y. B. (2) 2 (3) 3 (4) 4 3. What is the value of X? A. Xand Y are unequal even integers, less than 10, and X/Y is an odd integer. B. X and Y are even integers, each less than 10, and product of X and Y is 12. (2) 2 (3) 3 (4) 4

7. 4. On a given day a boat ferried 1500 passengers across the river in twelve hours. How many round trips did it make? A. The boat can carry two hundred passengers at any time. B. It takes 40 minutes each way and 20 minutes of waiting time at each terminal. (2) 2 (3) 3 (4) 4 5. What will be the time for downloading software? A. Transfer rate is 6 Kilobytes per second. B. The size of the software is 4.5 megabytes. (2) 2 (3) 3 (4)4 6. A square is inscribed in a circle. What is the difference between the area of the circle and that of the square? A. The diameter of the circle is 25 cm. B. The side of the square is 25 cm (2) 2 (3) 3 (4) 4

8. 7. Two friends, Ram and Gopal, bought apples from a wholesale dealer. How many apples did they buy? A. Ram bought one-half the number of apples that Gopal bought. B. The wholesale dealer had a stock of 500 apples. (2) 2 (3) 3 (4) 4

9. 5. What will be the time for downloading software? A. Transfer rate is 6 Kilobytes per second. B. The size of the software is 4.5 megabytes. (2) 2 (3) 3 (4) 4 Choose 1 if the question can be answered by using one of the statements alone, but cannot be answered using the other statement alone. Choose 2 if the question can be answered by using either statement alone. Choose 3 if the question can be answered by using both statements together, but cannot be answered using either statement alone. Choose 4 if the question cannot be answered even by using both statements together.

10. 5. What will be the time for downloading software? A. Transfer rate is 6 Kilobytes per second. B. The size of the software is 4.5 megabytes. (2) 2 (3) 3 (4) 4 Solution We cannot answer this question using either of the statements alone. If we consider both the statements i.e., transfer rate is 6 kilobytes per second and the size of software is 4.5 * 1024 kilobytes 4608 kilobytes, then download time 4608 / 6 seconds. Answer: Option (3)

11. 6. A square is inscribed in a circle. What is the difference between the area of the circle and that of the square? A. The diameter of the circle is 25 cm. B. The side of the square is 25 cm (2) 2 (3) 3 (4) 4 Choose 1 if the question can be answered by using one of the statements alone, but cannot be answered using the other statement alone. Choose 2 if the question can be answered by using either statement alone. Choose 3 if the question can be answered by using both statements together, but cannot be answered using either statement alone. Choose 4 if the question cannot be answered even by using both statements together.

12. 6. A square is inscribed in a circle. What is the difference between the area of the circle and that of the square? A. The diameter of the circle is 25 cm. B. The side of the square is 25 cm (2) 2 (3) 3 (4) 4 Solution When a square is inscribed inside a circle , the diagonal of the square is the diameter of the circle. Hence, if either the circle diameter or side of square is given, then we can determine areas of both the circle and the square and also the difference of the areas. Hence, either statement is sufficient. Answer: Option (2)

13. 7. Two friends, Ram and Gopal, bought apples from a wholesale dealer. How many apples did they buy? A. Ram bought one-half the number of apples that Gopal bought. B. The wholesale dealer had a stock of 500 apples. (2) 2 (3) 3 (4) 4 Solution Statement 1 gives the relation between the number of apples bought by the two guys. This information cannot answer the question. Also, from statement 2, based on the number of available apples, we cannot determine how many of them were bought by Ram and Gopal Answer: Option (4)