Data Sufficiency Questions and Answers

Answer: D

Correct answer: Both 1 and 2 are sufficient

Statement 2 makes F’s mother the sister of M’s father, so F is a cousin of M. Statement 1 establishes that M and P are siblings, so M’s father is P’s father and F is therefore P’s cousin as well. Neither statement alone connects F to P, so both are required.

Answer: D

Correct answer: Both 1 and 2 are sufficient

Statement 1 gives M above V above Q; statement 2 gives P above T above M, with T also above Q. Joined at M they give P, T, M, V, Q from tallest to shortest, so M is in the middle. Each alone covers only three of the five and cannot identify the middle one.

Answer: D

Correct answer: Neither 1 nor 2 is sufficient

Statement 1 makes A and B siblings and statement 2 makes B a son of D, so together A is a child of D. But nothing gives A’s sex, so it cannot be said whether A is D’s son or daughter, and the relationship asked for remains undetermined.

Answer: D

Correct answer: Neither 1 nor 2 is sufficient

The two distances are each measured from Rampur, and without knowing the directions or the angle between them the distance from Devipur to Durgapur is not fixed - it may be anything from 5 to 35 kilometres depending on the geometry. Both statements together are still insufficient.

Answer: D

From 1, we have: S = T - 20.

From 2, we have: V = T + 30.

Thus, from both 1 and 2, we have: V + S = (T + 30) + (T - 20) = (2 T + 10).

So, to get the required amount, we need to know the amount that Tarun has.

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

Correct answer: Both 1 and 2 are sufficient

February 2004 was a leap year, so the dates run 1 to 29. Statement 1 alone leaves fourteen even dates; statement 2 alone leaves ten primes. Taken together, only one number is both even and prime - 2 - so the date is settled, and only by using both.

Answer: D

From 1, we have the order: B, E, D.

From 2, B is at the extreme left of the row.

Thus, considering both 1 and 2, we conclude that among the five children, D is the third and hence the middle child in the row.

Answer: B

Correct answer: 2 alone is sufficient while I alone is not sufficient

Statement 2 says P’s mother is married to J’s husband, so P’s mother and J are the same person - J is P’s mother. Statement 1 gives only P’s siblings and never mentions J, so it contributes nothing to the relationship asked about.

Answer: D

Correct answer: Both 1 and 2 are sufficient

Statement 2 fixes the mother’s date of birth: counting 55 years, 4 months and 5 days back from 18 August gives 13 April. Statement 1 places Gautam exactly 28 years later, so his birthday is 13 April. Neither statement alone gives a date in April at all.