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

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

A. 52%

B. 62%

C. 70%

D. 60%

Answer: Option B

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 Report Error

In an election, a candidate got 55% of the total votes and won by 500 votes. Find the total number of votes cast.

A. 5000

B. 5500

C. 4500

D. 4000

Correct Answer: Option A

Explanation:
Winner = 55%, Loser = 45%. Difference = 10%. 10% of Total = 500. Total = 5000.

This question belongs to: Maths Percentage

Question #2 Report Error

Coal price up 15%, expenditure to rise only 8%. Reduce consumption by:

A. 7%

B. 5.5%

C. 6.08%

D. 6.5%

Correct Answer: Option C

Explanation:
1.15 × x = 1.08 → x = 1.08/1.15 ≈ 0.93913, reduction 6.09%, round to 6.08%.

This question belongs to: Maths Percentage

Question #3 Report Error

The price of an article is reduced by 20% and then increased by 30%. Find the net change in the price.

A. 4% decrease

B. 4% increase

C. 10% increase

D. No change

Correct Answer: Option B

Explanation:
0.8 × 1.3 = 1.04, 4% increase.

This question belongs to: Maths Percentage