Data Sufficiency Questions and Answers

Answer: B

Statement 1 is merely an interpretation of the information contained in the question.

However, Vinod's salary can be ascertained from 2 as follows : Let Vinod's and Javed's salaries be 4x and 3x respectively. Then, 3x = 4500 or x = 1500. Therefore Vinod's salary = 4x = Rs. 6000.

Answer: D

Correct answer: Neither 1 or 2 is sufficient

Statement 2 places Deepak twentieth from the top and statement 1 puts ten students between him and Nitin, but Nitin may be on either side - ninth from the top or thirty-first. The two possibilities cannot be distinguished, so even both statements together fail to fix the rank.

Answer: D

From 1, we conclude that Sunny is facing South, since a person facing South shall face North on turning to his right, twice.

From 2, we know that after walking, Sunny shall face towards left of Dinesh facing South i.e. East and a person walking southwards shall face East on turning to 'his left.

Thus, Sunny is facing South.

Answer: D

Correct answer: Neither 1 or 2 is sufficient

Together the statements exclude schools D and F, leaving B, C and E as possibilities for T. Three candidates is not an answer, so neither statement alone nor both together determine where T studies.

Answer: C

From 1, we conclude that Divya's mother is Shaloo's aunt or Divya is Shaloo's cousin.

Now, Divya's grandfather's only child is Divya's parent. So, from 2, we conclude that Shaloo and Divya are daughters of the same parents i.e. Divya is Shaloo's sister.

Answer: D

Correct answer: Both 1 and 2 are sufficient

Statement 1 gives last year’s figure of 2935 and statement 2 the ratio of 1.2, so this year’s sales are 2935 x 1.2 = 3522. Each is useless alone - a base without a ratio, or a ratio without a base - and together they give a single number.

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.

Answer: D

Correct answer: Both 1 and 2 are sufficient

The two statements share only the word ‘is’, and they share only the code ‘ke’, so ‘ke’ must be its code. Either statement alone leaves three words against three codes with no way to pair them, so both are needed - and the common word is what makes the comparison work.

Answer: D

Correct answer: Neither 1 or 2 is sufficient

Statement 1 is self-contradictory in a row of five: C cannot be both third to the left of D and second to the left of E while also immediately right of A. Statement 2 is similarly inconsistent with D at an end. Neither yields a workable arrangement, so neither determines who stands in the middle.

Answer: A

Correct answer: 1 alone is sufficient while 2 alone is not sufficient

Statement 1 puts A and D above B, E and F, and adds that neither A nor D is the heaviest - which leaves only C, so C is the heaviest. Statement 2 orders C above A above D but says nothing about B, E and F, so it cannot rule out one of them being heavier still.