IBPS PO Quantitative Aptitude: Linear Arrangement questions with solutions

Q1. Direction: Read the following information carefully and answer the question that follows. There are six persons namely A, B, C, D, E and F. They are arranged in descending order of their age from left to right. No two persons have the same age. E is younger than A but older than B. B is not the youngest. E is 25 years old. The difference of ages of D and E is 20 years. C is the second youngest person. If the sum of ages of A and E is 70 and the sum of ages of F and D is 89, then what is the possible age of C?

1. 45 years
2. 10 years
3. 26 years
4. 2 years

Answer: 10 years

From the descending order and clues, E = 25 and A = 45 from A + E = 70. Since D differs from E by 20, D can be 5 or 45, but 45 is already A, so D = 5. Then F + D = 89 gives F = 84, which is the oldest, so the only consistent placement makes C the second youngest at 10 years. Thus the possible age of C is 10 years.