Selected MCQ

Current Question
Two cylinders have equal heights. Their radii are in the ratio 1 : 3. What is the ratio of their volumes ____.
  • A. 1 : 3
  • B. 1: 6
  • C. 1: 9
  • D. 3: 1
Correct Answer: C
Explanation:
Volume ∝ r², so ratio = 1² : 3² = 1 : 9.
Related Question 1
The radius of a cylinder equals that of a sphere. Compare their volumes.
  • A. 4/3 times
  • B. 2/3 times
  • C. Equal
  • D. Equal to diameter
Correct Answer: A
Explanation:
Sphere volume = 4/3 πr³ vs cylinder πr²h.
Related Question 2
If x% of 200 equals y% of 250, find the ratio x:y.
  • A. 5:4
  • B. 5:2
  • C. 2:5
  • D. 4:5
Correct Answer: D
Explanation:
x/100 × 200 = y/100 × 250 ⇒ 2x = 2.5y ⇒ x:y = 4:5.
Related Question 3
A invests Rs. 16000 for 8 months while B invests for 4 months. Find B’s investment if the profit ratio is equal.
  • A. Rs. 10000
  • B. Rs. 12800
  • C. Rs. 6000
  • D. Rs. 8000
Correct Answer: B
Explanation:
Equal profit ⇒ investments are inversely proportional to time.
Related Question 4
12 inches equals how many centimeters?
  • A. 30.48
  • B. 29
  • C. 34.12
  • D. 24
Correct Answer: A
Explanation:
1 inch = 2.54 cm.
Related Question 5
Three pipes of equal capacity fill a tank in 8 houRs. Two pipes will take ____.
  • A. 17 hours
  • B. 12 hours
  • C. 16 hours
  • D. 24 hours
Correct Answer: B
Explanation:
Work is inversely proportional.