IBPS PO Quantitative Aptitude: Arithmetic Reasoning questions with solutions

Q1. There are three cities: Delhi, Dhaka, and Bangkok. The total distance between Delhi-Dhaka, Dhaka-Bangkok, and Delhi-Bangkok is 19,800 km. The distance between Dhaka-Bangkok is 80% of the distance between Delhi-Bangkok, and the ratio of the distance between Delhi-Dhaka to the distance between Bangkok-Dhaka is 27:32. Fares of three different flight operators (A, B, and C) on these three routes are given below: Delhi-Dhaka: Fare of C is 25% more than that of B, and fare of A is Rs. 2700 less than that of B. The ratio of fare of A to that of C is 3:5. Delhi-Bangkok: Average fare of A and B is Rs. 20,000, and fare of C is Rs. 8000 more than the average fare of A and B. Average fare of B and C is Rs. 26,000. Dhaka-Bangkok: Fare of B is Rs. 16,000 and the ratio of fare of A to B to C is 6:5:8. Question: If Veer wants to travel from Delhi-Dhaka and then Dhaka-Bangkok without changing flight operator, which flight operator would be the cheapest option among A, B, and C for Veer?

1. A
2. B
3. C
4. Either A or B

Answer: A

For the Delhi-Dhaka route, the given relations determine the fares of A, B, and C. For the Dhaka-Bangkok route, the ratio 6:5:8 with B = 16000 gives all three fares. Adding the two-route fares for each operator shows that operator A has the lowest total cost.

Q2. The ratio of the ages of Khushi and her aunt is 1:4, and the ratio of the ages of Khushi's aunt and her brother is 9:1. If Khushi's brother is 5 years younger than Khushi, what will be the age of Khushi's aunt after 6 years?

1. 36 years
2. 38 years
3. 42 years
4. 40 years

Answer: 42 years

Let Khushi's age be \(x\). Then aunt's age is \(4x\), and aunt:brother = 9:1 gives brother's age as \(\frac{4x}{9}\). Since the brother is 5 years younger than Khushi, solving gives the aunt's present age as 36 years, so after 6 years it will be 42 years.