AFCAT Numerical Ability & Quantitative Aptitude 2

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?

Accepted Answer

30 seconds

Answer

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?

Accepted Answer

20 days

Answer

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:

Accepted Answer

Rs. 50

Answer

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:

Accepted Answer

12%

Answer

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:

Accepted Answer

60

Answer

Product of two numbers = LCM x HCF = 180x12 = 2160; other number = 2160/36 = 60.

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