Question

A, B, C, D, E and F are cousins. No two cousins are of the same age, but all have birthday on the same date. The youngest is 17 years old and E the oldest is 22 years old. F somewhere between and B and D in age. A is older than B. C is older than D.

Which of the following statement is possible?

1. F is 18 years old
2. F is 20 years old
3. D is 20 years old
4. F is 19 years old

Answer 1

Correct Answer - Option 1 : F is 18 years old

The youngest is 17 years old and E the oldest is 22 years old. F somewhere between and B and D in age. A is older than B. C is older than D.

Here there are four possibility -

First -

E(22) > A (21) > C(20) > B(19) > F(18) > D(17)

Second -

E(22) > C (21) > A(20) > B(19) > F(18) > D(17)

Third -

E(22) > A(21) > C(20) > D(19) > F(18) > B(17)

Fourth - 

E(22) > C(21) > A(20) > D(19) > F(18) > B(17)

From the all cases, F is 18 year old.

Hence, "option 1" is correct answer.