## Data Sufficiency Questions

**Directions for next 4 Questions:** In each data sufficiencyquestions there are two statements: A and B.

**Choose [a] **if the question can be answered by one of the statements alone but not by the other.

**Choose [b]** if the question can be answered by using either statement alone.

**Choose [c] **if the question can be answered by using both the statements together but cannot be answered using either statement alone.

**Choose [d] **if the question cannot be answered even by using both the statements A and B.

**Choose [e] **if the question can be answered by using either statement alone but not using both.

**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. **F has two brothers.

**B. **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 Princeton Review CAT sample paper 24 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. **The game ended normally.

**B. **The total number of tails obtained in the game was 138.

**3. **Each packet of SOAP costs Rs 10. Inside each packet is a gift coupon labeled 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.

**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. **A and C run the same race and A wins by 375 meters.

**B. **The length of the race is 1 km

adminSays:May 2nd, 2010 at 11:59 pm

1. Ans. a. — From statement A.

2. Ans. b. — From both statements individually. If x is the number of tosses he took, from statement I we get the equation 10 + x –100 = 50. Thus x = 140. From statement II individually, we have x > 138. Thus we are sure he has paid up more than 148. If he incurs a loss of only Rs. 50, the game has to end normally. Thus the above state of his taking 150 shots with first 138 as tails and 139 and 140 throw as tails is the scenario. With no other scenario will a loss of just 50 and 138 tails show up.

3. Ans. c. — Using both statements.

4. Ans.c. — Using both statements.