## 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 1995

Direction for questions 1 to 9: Each item has a question followed by two statements, Mark (a) If the question can be answered with the help of both the statements but not with the help of either statement itself. (b) If the question can not be answered even with the help of both the statements. (c) If the question can be answered with the help of statement lI alone (d) If the question can be answered with the help of statement I alone

1. What is the number x if (1995) I. The LCM of x and 18 is 36 Il. The HCF of x and 18 is 2 2. If x, y and z are real numbers. Is z-x even or odd? (1995) I. xyz is odod Il. xy yz zx is even 3. What is value of x, if x and y are consecutive positive even integers? (1995) l. (x - y)2-4 Il. (x - y)2< 100 4. What is the profit percent? (1995) I. The cost price is 80% of the selling price Il. The profit is Rs 50 5. What is the length of the rectangle ABCD? (1995) I. Area of the rectangle is 48 square units Il. Length of the diagonal is 10 units

6. What is the price of bananas? (1995) I. With Rs. 84 I can buy 14 bananas and 35 oranges ll. If price of bananas by 50% then we can buy 48 bananas in Rs 12 7. What is the first term of an arithmetic progression of positive integers? (1995) l. Sum of the squares of the first and second term is 116 Il. The fifth term is divisible by 7 8. Is x y - z+ t even? (1995) I. x y +t is even Il. tz is odd 9. What is the area of the triangle? (1995) . Two sides are 41 cm. each II. The altitude to the third side is 9 cm. long

ANSWER THE FOLLOWING: 1. What is the number x if (1995) I. The LCM of x and 18 is 36 Il. The HCF of x and 18 is2 (a) If the question can be answered with the help of both the statements but not with the help of either statement itself. (b) If the question can not be answered even with the help of both the statements. (c) If the question can be answered with the help of statement Il alone (d) If the question can be answered with the help of statement I alone SOLUTION:

ANSWER THE FOLLOWING: 2. If x, y and z are real numbers. Is z-x even or odd? (1995) I. xyz is odd Il. xy +yz + zx is even (a) If the question can be answered with the help of both the statements but not with the help of either statement itself. (b) If the question can not be answered even with the help of both the statements. (c) If the question can be answered with the help of statement Il alone (d) If the question can be answered with the help of statement I alone SOLUTION:

ANSWER THE FOLLOWING: 3. What is value of x, if x and y are consecutive positive even integers? (1995) l. (x - y)2-4 Il. (x - y)2 100 (a) If the question can be answered with the help of both the statements but not with the help of either statement itself. (b) If the question can not be answered even with the help of both the statements. (c) If the question can be answered with the help of statement II alone (d) If the question can be answered with the help of statement I alone SOLUTION: