In a town, 70% of people speak English, 65% speak Hindi, and 27% speak neither. What percentage of people speak both languages? MCQ with Answer and Explanation

Question

In a town, 70% of people speak English, 65% speak Hindi, and 27% speak neither. What percentage of people speak both languages?

A. 70%

B. 60%

C. 62%

D. 52%

Answer: Option C

Solution (By JKSSB Mock Tests)

Speak at least one = 100% - 27% = 73%. n(E U H) = n(E) + n(H) - n(E ∩ H). 73 = 70 + 65 - n(E ∩ H). n(E ∩ H) = 135 - 73 = 62%.

This question belongs to: Maths Percentage

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Question #1

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A and B can do a work in 12 days. B and C in 15 days. A and C in 20 days. If A, B, and C work together, how long will they take?

A. 8 days

B. 10 days

C. 11 days

D. 9 days

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Correct Answer: Option B

Explanation:
2(A+B+C) = 1/12 + 1/15 + 1/20 = (5+4+3)/60 = 12/60 = 1/5 → A+B+C = 1/10. Together 10 days.

This question belongs to: Maths Percentage

Question #2

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In an election, 20% of the votes were declared invalid. The winner got 70% of the valid votes and won by 1600 votes. Find the total number of votes polled.

A. 4000

B. 5000

C. 8000

D. 6000

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Correct Answer: Option B

Explanation:
Winner got 70%, Loser 30% of valid votes. Difference = 40% of valid votes = 1600. Valid votes = 4000. Valid votes = 80% of total. Total = 4000 / 0.8 = 5000.

This question belongs to: Maths Percentage

Question #3

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In an election, 10% of the votes were invalid. The winning candidate got 60% of the valid votes and won by a majority of 1800 votes. What was the total number of votes?

A. 9000

B. 8000

C. 10000

D. 12000

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Correct Answer: Option C

Explanation:
Valid votes V = 0.9T. Winner got 0.6V = 0.54T, loser 0.4V = 0.36T, margin 0.18T = 1800 → T = 10000.

This question belongs to: Maths Percentage

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