AFCAT Numerical Ability & Quantitative Aptitude 5

Question 1

A cone and a cylinder have the same base radius and height. The ratio of their volumes is:

Accepted Answer

1:3

Answer

Volume of cone = (1/3)pi r^2 h; volume of cylinder = pi r^2 h; ratio = 1:3.

Question 2

In a class of 50 students, 30 play cricket and 25 play football. If 10 play both, how many play neither?

Accepted Answer

5

Answer

n(C union F) = 30 + 25 - 10 = 45; neither = 50 - 45 = 5.

Question 3

If the cost price of 12 articles equals the selling price of 8 articles, the profit percentage is:

Accepted Answer

50%

Answer

CP of 12 = SP of 8 gives SP/CP = 12/8 = 3/2; profit% = (3/2 - 1) x 100 = 50%.

Question 4

What is the smallest number that must be added to 1000 to make it exactly divisible by 45?

Accepted Answer

35

Answer

1000 divided by 45 leaves remainder 10; required addition = 45 - 10 = 35.

Question 5

The angles of a triangle are in ratio 2:3:4. What is the largest angle?

Accepted Answer

80 degrees

Answer

Sum of ratio parts = 9; largest angle = (4/9) x 180 = 80 degrees.

(AFCAT) Air Force Common Admission Test Practice Test