In an examination, 60% of students passed in Mathematics, 70% passed in Science, and 20% failed in both. What percentage passed in both subjects? MCQ with Answer and Explanation

Question

In an examination, 60% of students passed in Mathematics, 70% passed in Science, and 20% failed in both. What percentage passed in both subjects?

A. 40%

B. 70%

C. 50%

D. 60%

Answer: Option C

Solution (By JKSSB Mock Tests)

Passed in at least one subject = 100% - 20% = 80%. n(M U S) = n(M) + n(S) - n(M ∩ S). 80 = 60 + 70 - n(M ∩ S). n(M ∩ S) = 130 - 80 = 50%.

This question belongs to: Maths Percentage

Request complete Subject PDF

Discuss this Question (0)

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

Practice More Percentage Questions

Question #1

Share Report

Spends 20% rent, 15% food, 25% education, 10% others, saves Rs. 18000. Salary:

A. 55000

B. 65000

C. 60000

D. 50000

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option C

Explanation:
Total spend 70%, save 30% = 18000, salary = 18000/0.3 = 60000.

This question belongs to: Maths Percentage

Question #2

Share Report

In an election, 75% cast votes. Winner got 52% of cast votes, won by 600. Total voters:

A. 20000

B. 15000

C. 18000

D. 24000

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option A

Explanation:
Cast votes C, margin 4%C = 600 → C=15000. Total T, 0.75T=15000 → T=20000.

This question belongs to: Maths Percentage

Question #3

Share Report

10% voters did not vote in an election. The winner got 60% of polled votes and won by 900 votes. Total voters:

A. 5500

B. 4500

C. 5000

D. 6000

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option C

Explanation:
Polled votes P=0.9T. Margin 0.2P = 900 → P=4500 → T=5000.

This question belongs to: Maths Percentage

Explore All Percentage MCQs