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DS: CAT 2003: Part 2
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Problems on Data sufficiency from CAT 2003 paper.

## Riya Agarwal is teaching live on Unacademy Plus

Riya Agarwal
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hello Neha, Have you joined any of the guilds?
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 2003

5. Direction for questions 1 to 4: In each question there are two statements: A and B. Choose 1 if the question can be answered by one of the statements alone but not by the other. Choose 2 if the question can be answered by using either statement alone. Choose 3 if the question can be answered by using both the statements together but cannot be answered using either statement alone. Choose 4 if the question cannot be answered even by using both the statements A and B.

6. 1. F and M are father and mother of S, respectively. S has four uncles and three aunts. F has two siblings. The siblings of F and M are unmarried. How many brothers does M have? A. B. F has two brothers. M has five siblings. 2. A game consists of tossing a coin successively. There is an entry fee of Rs. 10 and an additional fee of Re. 1 for each toss of the coin. The game is considered to have ended normally when the coin turns heads on two consecutive throws. In this case the player is paid Rs. 100. Alternatively, the player can choose to terminate the game prematurely after any of the tosses. Ram has incurred a loss of Rs. 50 by playing this game. How many times did he toss the coin? A. B. The game ended normally. The total number of tails obtained in the game was 138.

7. 3. Each packet of SOAP costs Rs. 10. Inside each packet is a gift coupon labelled with one of the letters S, O, A, and P. If a customer submits four such coupons that make up the word SOAP, the customer gets a free SOAP packet. Ms. X kept buying packet after packet of SOAP till she could get one set of coupons that formed the word SOAP. How many coupons with label P did she get in the above process? A. B. The last label obtained by her was S and the total amount spent was Rs. 210. The total number of vowels obtained was 18. 4. If A and B run a race, then A wins by 60 seconds. If B and C run the same race, then B wins by 30 seconds. Assuming that C maintains a uniform speed, what is the time taken by C to finish the race? A. B. A and C run the same race and A wins by 375 metres. The length of the race is 1 km.

8. 3. Each packet of SOAP costs Rs. 10. Inside each packet is a gift coupon labelled with one of the letters S, O, A, and P. If a customer submits four such coupons that make up the word SOAP, the customer gets a free SOAP packet. Ms. X kept buying packet after packet of SOAP till she could get one set of coupons that formed the word SOAP. How many coupons with label P did she get in the above process? A. The last label obtained by her was S and the total amount spent was Rs. 210. B. The total number of vowels obtained was 18. Solution: From Statement A, Also the last label obtained by her is S. But this is not sufficient to get the number of P's. : Statement A alone is not sufficient. From Statement B, The number of O's and A's is 18. But this is also not individually sufficient to arrive at the required answer.. Statement B alone is not sufficient. After combining both the statements A and B, we can conclude that 18 out of 21 coupons are O's and A's and that the 21st is an S. This means that the remaining two are P's. Hence, option 3.

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