In an examination, 70% passed in English, 65% in Maths and 15% failed in both subjects. If 300 students passed in both, total number of students was: MCQ with Answer and Explanation

In an examination, 70% passed in English, 65% in Maths and 15% failed in both subjects. If 300 students passed in both, total number of students was:

A. 550

B. 650

C. 600

D. 500

Answer: Option C

Failed Eng=30%, Maths=35%. Passed both = 100 - (30+35-15) = 50%. 50% of total = 300 → total = 600.

This question belongs to: Maths Percentage

No comments yet. Be the first to start the discussion!

Question #1 Report Error

The price of an article is increased by 25% and then decreased by x%. If the net effect is no change, find x.

A. 20

B. 22.5

C. 25

D. 30

Correct Answer: Option A

Explanation:
1.25 × (1 - x/100) = 1 → 1 - x/100 = 0.8 → x/100 = 0.2 → x=20.

This question belongs to: Maths Percentage

Question #2 Report Error

40% failed in Physics, 30% in Chemistry, 20% in both. % passed in both:

A. 50%

B. 30%

C. 60%

D. 40%

Correct Answer: Option A

Explanation:
Failed at least one = 40+30-20=50%, passed both = 50%.

This question belongs to: Maths Percentage

Question #3 Report Error

In an exam, 70% passed English, 65% Maths, 27% failed both, 248 passed both. Total students:

A. 420

B. 360

C. 400

D. 380

Correct Answer: Option C

Explanation:
Failed English=30%, Failed Maths=35%. Failed both=27%. Passed both = 100 - (30+35-27) = 62%. 62% = 248 → total = 400.

This question belongs to: Maths Percentage