Selected MCQ

Current Question
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 1
In how many ways can the letters of the word “MATHEMATICS” be arranged?
  • A. 10080
  • B. 4989600
  • C. 120960
  • D. None of these
Correct Answer: C
Explanation:
Total permutations = 11!/(2!2!2!) = 120960.
Related Question 2
In an exam, 65.8% take physics and 59.2% mathematics. Total students are ____.
  • A. 750
  • B. 500
  • C. 250
  • D. 125
Correct Answer: B
Explanation:
Using inclusion-exclusion gives 500.
Related Question 3
If 65% students pass and the total number of students is 2000, how many passed?
  • A. 500
  • B. 1300
  • C. 1000
  • D. 1625
Correct Answer: B
Explanation:
65% of 2000 = 1300.
Related Question 4
In a class of 140 students, 60% passed. What percent failed?
  • A. 80%
  • B. 20%
  • C. 40%
  • D. 50%
Correct Answer: C
Explanation:
Failed = 100 − 60 = 40%.
Related Question 5
If the ratio of boys to girls is 2:3 and the total number of students is 50, how many girls are there?
  • A. 20
  • B. 25
  • C. 30
  • D. 35
Correct Answer: C
Explanation:
Total parts = 5 ⇒ girls = 3×10 = 30.