If the length of a rectangle is increased by 30% and the breadth is decreased by 25%, what is the percentage change in area? MCQ with Answer and Explanation

Question

If the length of a rectangle is increased by 30% and the breadth is decreased by 25%, what is the percentage change in area?

A. 5% increase

B. 2.5% decrease

C. 2.5% increase

D. 5% decrease

Answer: Option B

Solution (By JKSSB Mock Tests)

1.3 × 0.75 = 0.975, decrease 2.5%.

This question belongs to: Maths Percentage

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Question #1

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A number increased by 30% then decreased by 30% results in net change of:

A. 0%

B. 9% decrease

C. 6% decrease

D. 9% increase

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Correct Answer: Option B

Explanation:
1.3 × 0.7 = 0.91, 9% decrease.

This question belongs to: Maths Percentage

Question #2

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If 15 men can complete a work in 20 days, how many men are required to complete the work in 10 days?

A. 28

B. 25

C. 32

D. 30

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Correct Answer: Option D

Explanation:
M1×D1 = M2×D2 → 15×20 = M2×10 → M2 = 30.

This question belongs to: Maths Percentage

Question #3

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

A. 60%

B. 52%

C. 70%

D. 62%

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Correct Answer: Option D

Explanation:
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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