C is younger than D, but older than A and B

Three Statements S1, S2 and S3 are given below followed by a Question.

  • S1: C is younger than D, but older than A and B.
  • S2: D is the oldest.
  • S3: A is the older than B.

Question: Who among A, B, C and D is the youngest?

Which one of the following is correct in respect of the above Statements and the Question?

  1. S1 alone is sufficient to answer the Question.
  2. S1 and S2 together are sufficient to answer the Question.
  3. S2 and S3 together are sufficient to answer the Question.
  4. S1 and S3 together are sufficient to answer the Question.

Answer: D

Explanation

S1: C is younger than D, but older than A and B, i.e. D > C > A/B

Using statement 1 alone we cannot determine who is the youngest.

S2: D is the oldest, i.e. D > A/B/C

Using statement 2 alone we cannot determine who is the youngest.

S3: A is older than B, i.e. A > B

Using statement 3 alone we cannot determine who is the youngest.

Using S1 and S3, we get:

D > C > A > B

So, B is the youngest.

Hence, to find the youngest S1 and S3 together are sufficient to answer the question.

  • Exam Year: 2020