AFCAT Numerical Ability & Quantitative Aptitude 2 — Questions and Answers
Question 1: A train 240 m long passes a pole in 12 seconds. How long will it take to pass a platform 360 m long?
- 24 seconds
- 30 seconds (Correct answer)
- 18 seconds
- 36 seconds
Correct answer: 30 seconds
Speed = 240/12 = 20 m/s; total distance = 240+360 = 600 m; time = 600/20 = 30 seconds.
Question 2: If 15 workers can complete a job in 24 days, how many days will 18 workers take to complete the same job?
- 18 days
- 22 days
- 20 days (Correct answer)
- 25 days
Correct answer: 20 days
Using inverse proportion: 15x24 = 18xd, so d = 360/18 = 20 days.
Question 3: The difference between simple interest and compound interest on Rs. 5,000 at 10% per annum for 2 years is:
- Rs. 25
- Rs. 50 (Correct answer)
- Rs. 75
- Rs. 100
Correct answer: Rs. 50
CI = 5000x(1.1^2 - 1) = Rs.1050; SI = 5000x0.1x2 = Rs.1000; difference = Rs.50.
Question 4: A shopkeeper marks goods 40% above cost price and gives a 20% discount. His profit percent is:
- 12% (Correct answer)
- 14%
- 16%
- 20%
Correct answer: 12%
SP = CP x 1.4 x 0.8 = 1.12 x CP, so profit = 12%.
Question 5: The LCM of two numbers is 180 and their HCF is 12. If one number is 36, the other number is:
- 48
- 60 (Correct answer)
- 72
- 84
Correct answer: 60
Product of two numbers = LCM x HCF = 180x12 = 2160; other number = 2160/36 = 60.
Question 6: A mixture contains milk and water in the ratio 5:1. If 6 litres of water is added, the ratio becomes 5:2. Find the initial quantity of milk.
- 25 litres
- 30 litres (Correct answer)
- 36 litres
- 40 litres
Correct answer: 30 litres
Let milk = 5x, water = x; after adding 6 L water: 5x/(x+6) = 5/2 gives x = 6, milk = 30 litres.
Question 7: If the radius of a circle is increased by 50%, by what percent does its area increase?
- 100%
- 115%
- 125% (Correct answer)
- 225%
Correct answer: 125%
New area = pi x (1.5r)^2 = 2.25 x pi x r^2; increase = 125% of original area.
AFCAT Numerical Ability & Quantitative Aptitude 2
A train 240 m long passes a pole in 12 seconds.
How long will it take to pass a platform 360 m long?