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Question (31)

QN0020002

A tank is filled by 10 pipes in 9 hours. How many hours will 15 similar pipes take?

(A) 4 hours
(B) 5 hours
(C) 6 hours
(D) 7 hours

Correct Answer: C

Explanation:

10 × 9 = 15 × x, so x = 6 hours.

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Question (32)

QN0020003

If 7 workers take 42 days, then 14 workers will take:

(A) 18 days
(B) 20 days
(C) 21 days
(D) 24 days

Correct Answer: C

Explanation:

7 × 42 = 14 × x, so x = 21 days.

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Question (33)

QN0020004

If xy = 360 and y = 24, then x =

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

Correct Answer: B

Explanation:

x = 360 ÷ 24 = 15.

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Question (34)

QN0020005

A fixed work is completed by 45 workers in 16 days. The same work can be completed by 24 workers in:

(A) 24 days
(B) 28 days
(C) 30 days
(D) 32 days

Correct Answer: C

Explanation:

45 × 16 = 24 × x, so x = 30 days.

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Question (35)

QN0020006

Why is inverse proportion useful in real life?

(A) It helps analyse situations where increasing one quantity reduces another proportionally
(B) It helps draw only graphs
(C) It is used only in geometry
(D) It avoids calculations

Correct Answer: A

Explanation:

Many real-life situations follow inverse proportional relationships.

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Question (36)

QN0020007

If 18 taps fill a reservoir in 10 hours, 15 taps will fill it in:

(A) 11 hours
(B) 12 hours
(C) 13 hours
(D) 14 hours

Correct Answer: B

Explanation:

18 × 10 = 15 × x, so x = 12 hours.

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Question (37)

QN0020008

If x = 16 and y = 9 are inversely proportional values, then when x = 12, y =

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

Correct Answer: C

Explanation:

16 × 9 = 12 × y, so y = 12.

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Question (38)

QN0020009

Twenty-four workers complete a task in 25 days. How many workers are needed to complete it in 15 days?

(A) 30
(B) 35
(C) 40
(D) 45

Correct Answer: C

Explanation:

24 × 25 = x × 15, so x = 40 workers.

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Question (39)

QN0020010

If speed is doubled while covering a fixed distance, the time taken becomes:

(A) Double
(B) Four times
(C) Half
(D) Unchanged

Correct Answer: C

Explanation:

Speed and time are inversely proportional.

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Question (40)

QN0020011

If x and y are inversely proportional and y = 40 when x = 5, then y when x = 8 is:

(A) 20
(B) 25
(C) 30
(D) 35

Correct Answer: B

Explanation:

5 × 40 = 8 × y, so y = 25.

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Question (31)

A tank is filled by 10 pipes in 9 hours. How many hours will 15 similar pipes take?

Explanation:

Link:

Question (32)

If 7 workers take 42 days, then 14 workers will take:

Explanation:

Link:

Question (33)

If xy = 360 and y = 24, then x =

Explanation:

Link:

Question (34)

A fixed work is completed by 45 workers in 16 days. The same work can be completed by 24 workers in:

Explanation:

Link:

Question (35)

Why is inverse proportion useful in real life?

Explanation:

Link:

Question (36)

If 18 taps fill a reservoir in 10 hours, 15 taps will fill it in:

Explanation:

Link:

Question (37)

If x = 16 and y = 9 are inversely proportional values, then when x = 12, y =

Explanation:

Link:

Question (38)

Twenty-four workers complete a task in 25 days. How many workers are needed to complete it in 15 days?

Explanation:

Link:

Question (39)

If speed is doubled while covering a fixed distance, the time taken becomes:

Explanation:

Link:

Question (40)

If x and y are inversely proportional and y = 40 when x = 5, then y when x = 8 is:

Explanation:

Link:

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