## 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 1598

Direction for questions 1 to 12: Read the following directions carefully and answer the questions. You should tick: (a) If any one of the statements alone is sufficient to answer the question (b) If both statements individually are sufficient to answer the questiorn (c) If both statements together are required to answer the question (d) If both statements are not sufficient to answer the question

Direction for questions 1 to 11: Each question is followed by two statements, I and II. Answer the questions based on the statements and mark the answer as a. if the question can be answered with the help of any one statement alone but not by the other statement. b. if the question can be answered with the help of either of the statements taken individually. if the question can be answered with the help of both statements together. if the question cannot be answered even with the help of both statements together. c. d. 1. Find the length of AB if angle YBC = angle CAX = angle YOX-90 Radius of the arc is given. A X

2. Is n odd? I. n is divisible by 3, 5, 7 and 9. Il. 0<n <400 3. Find, 2 3, where 2 3 need not be equal to 3 I. 12 3 II. a b (a +b)/a, where a and b are positive. 2. 4. Radha and Rani appeared in an examination. What was the total number of questions? I. Radha and Rani together solved 20% of the paper. Il. Radha alone solved 3/5th of the paper solved by Rani 5. What is the price of tea? l. Price of coffee is Rs. 5 more than that of tea. II. Price of coffee is Rs. 5 less than the price of a cold drink which cost three times the price of tea.

6. What is the value of 'a'? I. Ratio of a and b is 3:5, where b is positive. Il. Ratio of 2a and b is 12/10, where a is positive. 7. In a group of 150 students, find the number of girls. I. Each girl was given 50 paisa, while each boy was given 25 paisa to purchase goods totaling Rs. 49 Il. Girls and boys were given 30 paisa each to buy goods totaling Rs. 45 8. There are four envelopes E1, E2, E3 and E4 in which one was supposed to put letters L1, L2, L3 and L4 meant for persons C1, C2, C3 and C4 respectively, but by mistake the letters got jumbled up and went in wrong envelopes. Now if C2 is allowed to open an envelope at random, then how will he identify the envelope containing the letter for him? I. L2 has been put in E1. Il. The letter belonging to C3 has gone in the correct envelope.

9. There are four racks numbered 1, 2, 3, 4 and four books numbered 1, 2, 3, 4. If an even rack has to contain an odd-numbered book and an odd rack contains an even- numbered book, then what is the position of book 4? l. Second book has been put in third rack II. Third book has been put in second rack 10. Find the value of X in terms of a. I. Arithmetic mean of X and Y is 'a' while the geometric mean is also 'a'. 11. There are two concentric circles C1 and C2 with radii r1 and r2. The circles are such that C1 fully encloses C2. Then what is the radius of C1? l. The difference of their circumference is k cm Il. The difference of their areas is m sq. cm. 12. A circle circumscribes a square. What is the area of the square? I. Radius of the circle is given. Il. Length of the tangent from a point 5 cm away from the centre of the circle is given.

7. In a group of 150 students, find the number of girls. I. Each girl was given 50 paisa, while each boy was given 25 paisa to purchase goods totaling Rs. 49. I Girls and boys were given 30 paisa each to buy goods totaling Rs. 45 a. if the question can be answered with the help of any one statement alone but not by the other statement b. if the question can be answered with the help of either of the statements taken individually. 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.

7. In a group of 150 students, find the number of girls. I. Each girl was given 50 paisa, while each boy was given 25 paisa to purchase goods totaling Rs. 49. Girls and boys were given 30 paisa each to buy goods totaling Rs. 45. II. if the question can be answered with the help of any one statement alone but not by the other statement if the question can be answered with the help of either of the statements taken individually. if the question can be answered with the help of both statements together. if the question cannot be answered even with the help of both statements together. a. b. c. d. Solution: Girl 0.5 Boy 0.25 Initial amount given to Girls & Boys 49 Resultant money out of Total number of students 150 11.5 150 26 150 Final ratio of number of Girls and Boys 115 260

8. There are four envelopesE1, E2, E3 and E4in which one was supposed to put letters L1, L2, L3 and L4 meant for persons C1, C2, C3 and C4 respectively, but by mistake the letters got jumbled up and went in wrong envelopes. Now if C2 is allowed to open an envelope at random, then how will he identify the envelope containing the letter for him? L2 has been put in E1. The letter belonging to C3 has gone in the correct envelope. Il. if the question can be answered with the help of any one statement alone but not by the other statement a. b. if the question can be answered with the help of either of the statements taken individually. 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.