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DS: CAT 1997: Part 3
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Riya Agarwal is teaching live on Unacademy Plus

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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.

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4. DATA SUFFICIENCY PROBLEMS

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6. CAT 1997

7. Direction for questions 1 to 10: Mark (a), if the question can be answered with the help of statement 1 alone, Mark (b), if the question can be answered with the help of any one statement independently, Mark (c), if the question can be answered with the help of both statements together, Mark (d, if the question cannot be answered even with the help of both statements together.

8. 1. What is the value of a3+bA3? (1997) 1. a^2 + b^2-22 Il. ab 3 2. Is the number completely divisible by 99? (1997) I. The number is divisible by 9 and 11 simultaneously II. If the digits of the number are reversed, the number is divisible by 9 and 11 3. A person is walking from Mali to Pali, which lies to its North-East. What is the distance between Mali and Pali? (1997) I. When the person has covered 1/3rd the distance, he is 3 km East and 1 km North of Mali II. When the person has covered 2/3rd the distance, he is 6 km East and 2 km North of Mali 4. What are the values of x and y? (1997) 1. 3x 2y 45 11. 10.5x + 7y-157.5

9. 5. Three friends, P, Q and R are wearing hats, either black or white. Each person can see the hats of the other two persons. What is the colour of P's hat? (1997) I. P says that he can see one black hat and one white hat II. Q says that he can see one white hat and one black hat 6. What is the speed of the car? (1997) I. The speed of the car is 10 more than that of a motor-cycle Il. The motor-cycle takes 2 hours more than the car to cover 100 kms 7. What is the ratio of the volume of the given right circular cone to the one obtained from it? (1997) I. The smaller cone is obtained by passing a plane parallel to the base and dividing the original height in the ratio 1:2 II. The height and the base of the new cone are one-third those of the original cone

10. 8. What is the area bounded by the two lines and the co-ordinate axes in the first quadrant? (1997) I. The lines intersect at a point which also lies on the lines 3x - 4y 1 and 7x- 8y 5 II. The lines are perpendicular, and one of them intersects the y-axis at an intercept of 4 9. What is the cost price of the chair? (1997) I. The chair and the table are sold, respectively, at profits of 15% and 20% ll. If the cost price of the chair is increased by 10% and that of the table is increased by 20%, the profit reduces by Rs.20 10. After what time will the two persons, Tez and Gati, meet while moving around the circular track? Both of them start from the same point and at the same time. (1997) I. Tez moves at a constant speed of 5 m/s, while Gati starts at a speed of 2 m/s and increases his speed by 0.5 m/s at the end of every second thereafter. Il. Gati can complete one entire lap in exactly 10 seconds.

11. ANSWER THE FOLLOWING: 5. Three friends, P, Q and R are wearing hats, either black or white. Each person can see the hats of the other two persons. What is the colour of P's hat? (1997) I. P says that he can see one black hat and one white hat I. Q says that he can see one white hat and one black hat (a), if the question can be answered with the help of statement 1 alone, (b), if the question can be answered with the help of any one statement independently, (c), if the question can be answered with the help of both statements together, (d), if the question cannot be answered even with the help of both statements together.

12. ANSWER THE FOLLOWING: 5. Three friends, P, Q and R are wearing hats, either black or white. Each person can see the hats of the other two persons. What is the colour of P's hat? (1997) I. P says that he can see one black hat and one white hat Il. Q says that he can see one white hat and one black hat (a), if the question can be answered with the help of statement 1 alone, (b), if the question can be answered with the help of any one statement independently, (c), if the question can be answered with the help of both statements together, (d), if the question cannot be answered even with the help of both statements together. Solution: Say Q is wearing Black hat, So R is wearing White and P is wearing Black if Q white, R Black, P - white So using the two given statements, we can not comment regarding the colour of hat. Answer: Option (d).

13. ANSWER THE FOLLOWING: 6. What is the speed of the car? (1997) I. The speed of the car is 10 more than that of a motor-cycle Il. The motor-cycle takes 2 hours more than the car to cover 100 kms (a), if the question can be answered with the help of statement 1 alone, (b), if the question can be answered with the help of any one statement independently, (c), if the question can be answered with the help of both statements together, (d), if the question cannot be answered even with the help of both statements together. Solution: Let speed of motorcycle be x, Speed of Car x+ 10 100 100 2 x x+10 using this equation we can find valid value of x . Hence, the speed cannot be found using any one independently, while both the equation have to be used to find solution. Answer: Option (c)

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