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Question (11)

QN0019982

If x and y are inversely proportional and x = 3, y = 20, then the constant of proportionality is:

(A) 23
(B) 17
(C) 60
(D) 80

Correct Answer: C

Explanation:

k = xy = 3 × 20 = 60.

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Question (12)

QN0019983

If 18 men can complete a task in 10 days, then 12 men can complete it in:

(A) 12 days
(B) 15 days
(C) 18 days
(D) 20 days

Correct Answer: B

Explanation:

18 × 10 = 12 × x, so x = 15 days.

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Question (13)

QN0019984

A train covers a fixed distance in 8 hours at 75 km/h. At 100 km/h, the time taken is:

(A) 5 hours
(B) 6 hours
(C) 7 hours
(D) 8 hours

Correct Answer: B

Explanation:

75 × 8 = 100 × x, so x = 6 hours.

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Question (14)

QN0019985

Which graph is associated with inverse proportion?

(A) Straight line through origin
(B) Circle
(C) Hyperbola-like curve
(D) Parabola

Correct Answer: C

Explanation:

Inverse proportional graphs form a hyperbola-like curve.

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Question (15)

QN0019986

If 9 pumps empty a reservoir in 16 hours, 12 pumps will empty it in:

(A) 10 hours
(B) 12 hours
(C) 14 hours
(D) 18 hours

Correct Answer: B

Explanation:

9 × 16 = 12 × x, so x = 12 hours.

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Question (16)

QN0019987

If x and y are inversely proportional and x = 8, y = 15, find y when x = 10.

(A) 10
(B) 11
(C) 12
(D) 14

Correct Answer: C

Explanation:

8 × 15 = 10 × y, so y = 12.

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Question (17)

QN0019988

If 20 labourers complete a road repair in 18 days, how many days will 24 labourers take?

(A) 12 days
(B) 15 days
(C) 16 days
(D) 20 days

Correct Answer: B

Explanation:

20 × 18 = 24 × x, so x = 15 days.

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Question (18)

QN0019989

When speed increases for a fixed distance, time:

(A) Increases
(B) Remains unchanged
(C) Decreases
(D) Doubles

Correct Answer: C

Explanation:

Speed and time are inversely proportional.

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Question (19)

QN0019990

If 14 workers take 30 days to build a wall, 21 workers will take:

(A) 18 days
(B) 20 days
(C) 24 days
(D) 28 days

Correct Answer: B

Explanation:

14 × 30 = 21 × x, so x = 20 days.

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Question (20)

QN0019991

If xy = 144 and x = 9, then y =

(A) 12
(B) 14
(C) 16
(D) 18

Correct Answer: C

Explanation:

y = 144 ÷ 9 = 16.

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Question (11)

If x and y are inversely proportional and x = 3, y = 20, then the constant of proportionality is:

Explanation:

Link:

Question (12)

If 18 men can complete a task in 10 days, then 12 men can complete it in:

Explanation:

Link:

Question (13)

A train covers a fixed distance in 8 hours at 75 km/h. At 100 km/h, the time taken is:

Explanation:

Link:

Question (14)

Which graph is associated with inverse proportion?

Explanation:

Link:

Question (15)

If 9 pumps empty a reservoir in 16 hours, 12 pumps will empty it in:

Explanation:

Link:

Question (16)

If x and y are inversely proportional and x = 8, y = 15, find y when x = 10.

Explanation:

Link:

Question (17)

If 20 labourers complete a road repair in 18 days, how many days will 24 labourers take?

Explanation:

Link:

Question (18)

When speed increases for a fixed distance, time:

Explanation:

Link:

Question (19)

If 14 workers take 30 days to build a wall, 21 workers will take:

Explanation:

Link:

Question (20)

If xy = 144 and x = 9, then y =

Explanation:

Link:

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