AFCAT Numerical Ability & Quantitative Aptitude 5 — Questions and Answers
Question 1: A cone and a cylinder have the same base radius and height. The ratio of their volumes is:
- 1:2
- 1:3 (Correct answer)
- 2:3
- 3:1
Correct answer: 1:3
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?
- 5 (Correct answer)
- 10
- 15
- 20
Correct answer: 5
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:
- 25%
- 33.33%
- 50% (Correct answer)
- 66.67%
Correct answer: 50%
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?
- 5
- 10
- 25
- 35 (Correct answer)
Correct answer: 35
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?
- 60 degrees
- 70 degrees
- 80 degrees (Correct answer)
- 90 degrees
Correct answer: 80 degrees
Sum of ratio parts = 9; largest angle = (4/9) x 180 = 80 degrees.
Question 6: A man invests Rs. 12,000 for 3 years at 5% per annum compound interest. What amount does he receive at maturity?
- Rs. 13,650
- Rs. 13,860.75
- Rs. 13,891.50 (Correct answer)
- Rs. 14,000
Correct answer: Rs. 13,891.50
A = 12000 x (1.05)^3 = 12000 x 1.157625 = Rs. 13,891.50.
Question 7: If tan theta = 4/3, what is the value of sin theta + cos theta?
- 7/5 (Correct answer)
- 1
- 6/5
- 8/5
Correct answer: 7/5
Using a 3-4-5 triangle: sin theta = 4/5, cos theta = 3/5; sin theta + cos theta = 7/5.
AFCAT Numerical Ability & Quantitative Aptitude 5
A cone and a cylinder have the same base radius and height.
The ratio of their volumes is: