AFCAT Numerical Ability & Quantitative Aptitude

Question 1

What is the value of (3/4)^2?

Accepted Answer

9/16

Answer

To find the value of (3/4)^2, you must square both the numerator and the denominator. Squaring the numerator, 3 * 3 = 9. Squaring the denominator, 4 * 4 = 16. Therefore, (3/4)^2 equals 9/16.

Question 2

A shopkeeper earns a profit of 20% on the cost price of a product. If the cost price is ₹500, what is the selling price?

Accepted Answer

₹600

Answer

A profit of 20% on a cost price of ₹500 means the profit amount is 20% of ₹500. Calculate (20/100) * 500 = ₹100. The selling price is the cost price plus the profit, so ₹500 + ₹100 = ₹600.

Question 3

What is the square root of 144?

Accepted Answer

12

Answer

The square root of a number is a value that, when multiplied by itself, yields the original number. In this case, 12 multiplied by 12 (12 * 12) equals 144. Therefore, 12 is the square root of 144.

Question 4

Simplify: 18 ÷ 3 + 4 × 2

Accepted Answer

14

Answer

To simplify the expression 18 ÷ 3 + 4 × 2, follow the order of operations (BODMAS/PEMDAS). First, perform division (18 ÷ 3 = 6) and multiplication (4 × 2 = 8). Then, perform the addition: 6 + 8 = 14.

Question 5

If a train travels 180 km in 3 hours, what is its average speed?

Accepted Answer

60 km/h

Answer

Average speed is calculated by dividing the total distance traveled by the total time taken. Given a distance of 180 km and a time of 3 hours, the average speed is 180 km / 3 hours = 60 km/h.

(AFCAT) Air Force Common Admission Test Practice Test

(AFCAT) Air Force Common Admission Test Practice Test

AFCAT Numerical Ability & Quantitative Aptitude