Selected MCQ

Current Question
In a school, 40% play football and 50% play cricket. If 18% play neither, what percentage play both?
  • A. 40%
  • B. 32%
  • C. 22%
  • D. 8%
Correct Answer: D
Explanation:
Total playing at least one = 82%, so both = 40 + 50 − 82 = 8%.
Related Question 1
The probability that A speaks the truth is 3/5, and the probability that B speaks the truth is 4/7. What is the probability that both speak the truth?
  • A. 18/35
  • B. 12/35
  • C. 17/35
  • D. 19/35
Correct Answer: B
Explanation:
Independent events → (3/5)(4/7) = 12/35? The correct answer is 12/35.
Related Question 2
The population of a town increased from 175000 to 262500 in 10 years. Find the average annual percentage increase.
  • A. 4.37%
  • B. 5%
  • C. 6%
  • D. 8.75%
Correct Answer: B
Explanation:
Using the compound growth formula gives ≈ 5% annually.
Related Question 3
Out of 100 students, 50 failed English, and 30 failed Math. If 12 failed both, how many failed at least one?
  • A. 26
  • B. 28
  • C. 32
  • D. 68
Correct Answer: D
Explanation:
Total = 50 + 30 − 12 = 68.
Related Question 4
In two years, 100 and 75 students appeared. Pass percentages were 75% and 60%. Overall pass % is ____.
  • A. 68 4/7 %
  • B. 78%
  • C. 80%
  • D. 80 4/7%
Correct Answer: A
Explanation:
The weighted average is 68 4/7%.
Related Question 5
If errors of 5% and 3% are made in measuring the sides of a rectangle, what is the percentage error in the area?
  • A. 8.35%
  • B. 7.15%
  • C. 8.15%
  • D. 6.25%
Correct Answer: C
Explanation:
Total error ≈ 5 + 3 + (5×3)/100 = 8.15%.