AFCAT Numerical Ability & Quantitative Aptitude — Questions and Answers
Question 1: What is the value of (3/4)^2?
- 9/16 (Correct answer)
- 3/16
- 12/16
- 16/9
Correct answer: 9/16
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?
- ₹520
- ₹600 (Correct answer)
- ₹580
- ₹550
Correct answer: ₹600
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?
- 10
- 11
- 12 (Correct answer)
- 14
Correct answer: 12
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
- 10
- 14 (Correct answer)
- 12
- 16
Correct answer: 14
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?
- 60 km/h (Correct answer)
- 90 km/h
- 70 km/h
- 50 km/h
Correct answer: 60 km/h
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.
Question 6: A person gets 10% discount on a product of ₹800. What is the amount to be paid?
- ₹700
- ₹750 (Correct answer)
- ₹720
- ₹780
Correct answer: ₹750
To arrive at ₹750 from an original price of ₹800, a discount of ₹50 must have been applied (₹800 - ₹750 = ₹50). Therefore, if ₹750 is the correct amount to be paid, it means the product was sold after a ₹50 reduction from its initial price. (Note: A 10% discount on ₹800 would typically result in ₹720, suggesting a potential discrepancy in the question's stated percentage or the intended answer.)
Question 7: What is the least common multiple (LCM) of 6 and 8?
- 12
- 24 (Correct answer)
- 48
- 18
Correct answer: 24
The least common multiple (LCM) is the smallest positive integer that is a multiple of both numbers. Multiples of 6 are 6, 12, 18, 24, 30... Multiples of 8 are 8, 16, 24, 32... The smallest number common to both lists is 24.
Question 8: If 25% of a number is 50, what is the number?
- 100
- 150
- 200 (Correct answer)
- 250
Correct answer: 200
If 25% of a number is 50, you can represent this as 0.25 * x = 50. To find the number (x), divide 50 by 0.25. So, x = 50 / 0.25 = 200.
Question 9: How many sides does a hexagon have?
- 5
- 6 (Correct answer)
- 7
- 8
Correct answer: 6
A hexagon is a polygon, a two-dimensional geometric shape, specifically defined by having exactly six straight sides and six angles. This is a fundamental definition in geometry.
AFCAT Numerical Ability & Quantitative Aptitude
What is the value of (3/4)^2?