AFCAT Numerical Ability & Quantitative Aptitude 4

Question 1

A man sells two articles at Rs. 990 each. On one he gains 10% and on the other he loses 10%. His overall gain or loss percent is:

Accepted Answer

1% loss

Answer

When selling at the same price with equal % gain and loss, there is always a net loss of (common%)^2 / 100 = 1%.

Question 2

Find the next term in the series: 2, 6, 18, 54, ___

Accepted Answer

162

Answer

Each term is multiplied by 3; 54 x 3 = 162.

Question 3

If (x + 1/x) = 5, what is the value of (x^2 + 1/x^2)?

Accepted Answer

23

Answer

x^2 + 1/x^2 = (x + 1/x)^2 - 2 = 25 - 2 = 23.

Question 4

A sum amounts to Rs. 6,050 in 2 years and Rs. 6,655 in 3 years at compound interest. What is the rate of interest?

Accepted Answer

10%

Answer

Rate = (6655 - 6050) / 6050 x 100 = 605/6050 x 100 = 10%.

Question 5

The volume of a cube is 729 cm^3. What is the total surface area of the cube?

Accepted Answer

486 cm^2

Answer

Side = cube root of 729 = 9 cm; total surface area = 6 x 9^2 = 6 x 81 = 486 cm^2.

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