IBPS PO Reasoning: Arithmetic questions with solutions

Q1. The total of the ages of Amar, Akbar, and Anthony is 80 years. What was the total of their ages three years ago?

1. 71 years
2. 72 years
3. 74 years
4. 77 years

Answer: 71 years

The present total age is 80 years. Three years ago, each of the three people was 3 years younger, so the total would be 80 - 9 = 71 years.

Q2. Two bus tickets from city A to B and three tickets from city A to C cost Rs. 77, but three tickets from city A to B and two tickets from city A to C cost Rs. 73. What are the fares for cities B and C from A?

1. Rs. 4, Rs. 23
2. Rs. 13, Rs. 17
3. Rs. 15, Rs. 14
4. Rs. 17, Rs. 13

Answer: Rs. 13, Rs. 17

Let the fare from A to B be x and from A to C be y. Then 2x + 3y = 77 and 3x + 2y = 73. Solving these gives x = 13 and y = 17.