## Riya Agarwal is teaching live on Unacademy Plus

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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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CAT 2000

Direction for questions 1 to 10: 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.

Questions 1 to 10: 1. Let X be a real number. Is the modulus of X necessarily less than 3? A. X(X+3)<0 B. X(X 3)>0 (2) 2 (3) 3 (4) 4 2. How many people are watching TV programme P? A. Number of people watching TV programme Q is 1000 and number of people watching both the programme, P and Q, is 100. B. Number of people watching either P or Q or both is 1500. (2) 2 (3) 3 (4) 4 3.Triangle PQR has angle PRQ equal to 90 degrees. What is the value of PR + RQ? A. Diameter of the inscribed circle of the triangle PQR is equal to 10 cm. B. Diameter of the circumscribed circle of the triangle PQR is equal to 18 cm. (2) 2 (3) 3 (4) 4

4. Harshad bought shares of a company on a certain day, and sold them the next day. While buying and selling he had to pay to the broker one percent of the transaction value of the shares as brokerage. What was the profit earned by him per rupee spent on buying the shares? A. The sales price per share was 1.05 times that of its purchase price. B. The number of shares purchased was 100. (2) 2 (3) 3 (4) 4 5. For any two real numbers a b 1 if both a and b are positive or both a and b are negative. a D b -1 if one of the two numbers a and b is positive and the other negative. What is (2 00) e (-5 -6)? A. a b is zero if a is zero. B. a b b a (2) 2 (3) 3 (4) 4

6. There are 2 straight lines in the x-y plane with equations ax + by c, dx + ey straight lines intersect? A. a, b, c, d, e and f are distinct real numbers. B. c and f are non-zero. f. Do the two (2) 2 (3) 3 (4) 4 7. O is the centre of two concentric circles. ae is a chord of the outer circle and it intersects the inner circle at point; b and d. c is a point on the chord in between b and d. What is the value of ac/ce? A. bc/cd 1 B. A third circle intersects the inner circle at b and d and the point c is on the line joining the centres of the third circle and the inner circle. (2) 2 (3) 3 (4) 4

8. Ghosh Babu has decided to take a non-stop flight from Mumbai to No-man's-land in South America. He is scheduled to leave Mumbai at 5 am, Indian Standard Time on December 10, 2000. What is the local time at No-man's-land when he reaches there? A. The average speed of the plane is 700 kilometers per hour. B. The flight distance is 10,500 kilometers. (2) 2 (3) 3 (4) 4 9. What are the ages of two individuals, X and Y? A. The age difference between them is 6 years. B. The product of their ages is divisible by 6. (2) 2 (3) 3 (4) 4 10. Consider three real numbers, X, Y and Z. Is Z the smallest of these numbers? A. X is greater than at least one of Y and Z. B. Y is greater than at least one of X and Z. (2) 2 (3) 3 (4) 4

9. What are the ages of two individuals, X and Y? A. The age difference between them is 6 years. B. The product of their ages is divisible by 6. (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. Solution: Statement I implies X- Y 6.. Statement Il implies XY is divisible by 6. You can see that many values of X and Y can satisfy statement I and lI. Answer: Option (3)

10. Consider three real numbers, X, Y and Z. Is Z the smallest of these numbers? A. X is greater than at least one of Y and z. B. Y is greater than at least one of X and Z. (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. Solution: Statement I implies X > Y, or X > Z, or X> Y and Z Statement II implies Y> X, or Y > Z, or Y > X and Z. Combining both statements, we can get Y > X> Z or X> Y>Z. Hence, Z is the smallest. Answer: Option (3)

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