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DS: CAT 2007: Part 3
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Problems on Data sufficiency from CAT 2007 paper.

## Riya Agarwal is teaching live on Unacademy Plus

Riya Agarwal
I'm here to liberate & share my knowledge. Shortly, all DI and LR lessons will be available, in English & Hindi. Also, past year papers.

U
Thanks mam...🙏🙏☺☺
8 months ago
Thank you to you to MANOJ
8 months ago
Aap sab follow kr rahe ho thats really very good👍
8 months ago
All the best for your bright future
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 2007

5. Direction for questions 1 to 6: Each question is followed by two statements, A and B. Mark (1) if the question can be answered by using the statement A alone but not by using the statement B alone. Mark (2) if the question can be answered by using the statement B alone but not by using the statement A alone. Mark (3) if the question can be answered by using either of the statements alone. Mark (4) if the question can be answered by using both the statements together but not by either of the statements alone. Mark (5) if the question cannot be answered on the basis of the two statements.

6. Answer the following: 1. In a football match, at the half-time, Mahindra and Mahindra Club was trailing by three goals. Did it win the match? A. In the second-half Mahindra and Mahindra Club scored four goals. B. The opponent scored four goals in the match. 2. In a particular school, sixty students were athletes. Ten among them were also among the top academic performers. How many top academic performers were in the school? A. B. Sixty per cent of the top academic performers were not athletes. All the top academic performers were not necessarily athletes.

7. 3. Five students Atul, Bala, Chetan, Dev and Ernesto were the only ones who participated in a quiz contest. They were ranked based on their scores in the contest. Dev got a higher rank as compared to Ernesto, while Bala got a higher rank as compared to Chetan. Chetan's rank was lower than the median. Who among the five got the highest rank? Atul was the last rank holder. Bala was not among the top two rank holders. A. B. 4. Thirty per cent of the employees of a call centre are males. Ten per cent of the female employees have an engineering background. What is the percentage of male employees with engineering background? A. Twenty five per cent of the employees have engineering background. B. Number of male employees having an engineering background is 20% more than the number of female employees having an engineering background.

8. 5. Consider integers x, y and z. What is the minimum possible value of xA2 + yn2 + zA2? A: x+yz 89 B: Among x, y, z two are equal. Mark (1) if the question can be answered by using the statement A alone but not by using the statement B alone. Mark (2) if the question can be answered by using the statement B alone but not by using the statement A alone. Mark (3) if the question can be answered by using either of the statements alone. Mark (4) if the question can be answered by using both the statements together but not by either of the statements alone. Mark (5) if the question cannot be answered on the basis of the two statements

9. 5. Consider integers x, y and z. What is the minimum possible value of xA2 + yn2 + zA2? A: x+yz 89 B: Among x, y, z two are equal. Solution: A:x +y+z=89 For xA2+y 2+ zA2 to be minimum, each of x, y, z must take integral value nearest to 89/3. Let x = 30, y = 30, z = 29. Minimum value of x^2 + y^2 + z^2 = (30)^2 + (30)^2 + (29)^2 = 2641 Hence statement A alone is sufficient to answer the question. Hence, option (1). of x2 +y2+ 22 (302 (30h2+(29)2 -2641

10. 6. Rahim plans to draw a square JKLM with a point O on the side JK but is not successful. Why is Rahim unable to draw the square? A: The length of OM is twice that of OL. B: The length of OM is 4 cm Mark (1) if the question can be answered by using the statement A alone but not by using the statement B alone. Mark (2) if the question can be answered by using the statement B alone but not by using the statement A alone. Mark (3) if the question can be answered by using either of the statements alone. Mark (4) if the question can be answered by using both the statements together but not by either of the statements alone. Mark (5) if the question cannot be answered on the basis of the two statements.

11. 6. Rahim plans to draw a square JKLM with a point O on the side JK but is not successful. Why is Rahim unable to draw the square? A: The length of OM is twice that of OL. B: The length of OM is 4 cm O K Solution: Length OM is maximum, when point O concides with point K. In this case OM become a diagonal and OL become the a side of the square. Hence, maximum length of OM V2 OL But according to the statement (A), Length of OM-2"OL, which is not possible. That's why, Rahim unable to draw the square. From statement (B), we can not get any useful information. Option (1)