Data Sufficiency Questions and Answers

Answer: A

From 1, we conclude that there are 16 students and 11 boys taller than Shravan.

This implies that there are 5 girls taller than Shravan.

In 2, Shravan's rank from the bottom is mentioned and to ascertain the number of girls taller than him, we need to know his rank from the top for which the number of students in the class is required, which is not given.

Answer: D

Correct answer: Both 1 and 2 are sufficient

Statement 2 makes P the mother of R’s sister and therefore of R. Statement 1 makes P the wife of M’s brother, so that brother is R’s father and M is R’s uncle or aunt - R is M’s nephew or niece. Neither statement alone connects R to M, so both are required.

Answer: D

From 2, we know that N is K's son and K is B's grandfather. Thus, N is the son of B's grandfather i.e. N is either father or uncle of B.

From 1, B is the daughter of M. So, M is either father or mother of B.

Clearly, the correct relationship between M and N cannot be deduced.

Answer: C

Correct answer: Only 1 and 3

Statements 1 and 3 share exactly one word, ‘come’, and exactly one code, ‘na’, so ‘na’ must stand for it. Statement 2 contains neither the word nor that code and contributes nothing, so the pair 1 and 3 is both sufficient and the smallest set that works.

Answer: D

From 1, we conclude that the girl is either Kunal's or his brother's wife. But, according to 2, Kunal has no siblings.

So, from both 1 and 2, we conclude that the girl is Kunal's wife.

From 3, we find that the girl is the only daughter-in-law of Kunal's mother i.e. she is Kunal's wife.

Answer: D

Correct answer: 1, 2 and 3 together are not sufficient

The three statements together establish that R and T are X’s daughters and that Q, U and P are siblings of theirs - but the sex of P is never given, and nothing rules out further children not mentioned at all. The number of sons is therefore two or three, and cannot be settled even with all three statements.

Answer: D

To find the code for 'we', we need to have any of the following:

(i) 'We are friends' should have only 'We' common with another statement, as in 2;

(ii) 'We are friends' should have only 'are' and 'friends' common with another single or two statements, as in 1 and 3. Thus, we need Either 2 only or 1 and 3 only

Answer: B

From the given statement, the descending order of heights is :__, Q,__, S,__.

From 2, we have the order: _, Q, R, S,__. Thus, R is in the middle.

From 3, we have the order : P, Q,__, S,__. But, according to I, T is not the shortest.

So, R is the shortest. Thus, we have the order : P, Q, T, S, R. So, T is in the middle.

Answer: D

From 1 and 2, we conclude that Mathematics period began at 9.00 a.m., Biology period began at 8.00 a.m. and Physics period began at 11 a.m. So, the Chemistry period began at 10.00 a.m.

From 1 and 3, we conclude that Mathematics period ended and Chemistry period began at 10.00 a.m.

Answer: D

From 3, we have: Rajan's basic salary = Rs. 1550.

From 1, we have: Vasu's basic salary = Rs. (1550 + 100) = Rs. 1650.

From 2, we have: Rajan's other allowances = Rs. 2000 and Vasu's other allowances = Rs. 2050.

Therefore Vasu's monthly salary = Rs. (1650 + 2050) = Rs. 3700.