EWT | Academic Question

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Question (21)
QN0019992
Sixteen workers can complete a task in 15 days. Eight workers will complete it in:
  • (A) 20 days
  • (B) 24 days
  • (C) 30 days
  • (D) 32 days

Correct Answer: C
Explanation:

16 × 15 = 8 × x, so x = 30 days.

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Question (22)
QN0019993
A car takes 12 hours to travel a fixed distance at 50 km/h. At 75 km/h, the time required is:
  • (A) 6 hours
  • (B) 7 hours
  • (C) 8 hours
  • (D) 9 hours

Correct Answer: C
Explanation:

50 × 12 = 75 × x, so x = 8 hours.

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Question (23)
QN0019994
If x and y vary inversely and x = 6 when y = 18, find x when y = 9.
  • (A) 10
  • (B) 12
  • (C) 14
  • (D) 16

Correct Answer: B
Explanation:

6 × 18 = x × 9, so x = 12.

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Question (24)
QN0019995
Which situation does NOT represent inverse proportion?
  • (A) Number of workers and time for same work
  • (B) Speed and time for fixed distance
  • (C) Number of taps and filling time
  • (D) Radius of a circle and its circumference

Correct Answer: D
Explanation:

Circumference is directly proportional to radius.

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Question (25)
QN0019996
If 25 workers finish a project in 28 days, 35 workers will finish it in:
  • (A) 18 days
  • (B) 20 days
  • (C) 22 days
  • (D) 24 days

Correct Answer: B
Explanation:

25 × 28 = 35 × x, so x = 20 days.

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Question (26)
QN0019997
If x × y = 200 and x = 25, then y =
  • (A) 6
  • (B) 7
  • (C) 8
  • (D) 10

Correct Answer: C
Explanation:

y = 200 ÷ 25 = 8.

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Question (27)
QN0019998
Twelve machines complete a task in 35 hours. Twenty machines will complete it in:
  • (A) 18 hours
  • (B) 20 hours
  • (C) 21 hours
  • (D) 24 hours

Correct Answer: C
Explanation:

12 × 35 = 20 × x, so x = 21 hours.

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Question (28)
QN0019999
In inverse proportion, if one quantity becomes three times, the other quantity becomes:
  • (A) Three times
  • (B) Half
  • (C) One-third
  • (D) Double

Correct Answer: C
Explanation:

In inverse proportion, increase in one quantity causes proportional decrease in the other.

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Question (29)
QN0020000
If 30 people can finish a work in 24 days, 18 people will need:
  • (A) 36 days
  • (B) 40 days
  • (C) 42 days
  • (D) 48 days

Correct Answer: B
Explanation:

30 × 24 = 18 × x, so x = 40 days.

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Question (30)
QN0020001
If x and y are inversely proportional and x = 4, y = 30, find y when x = 5.
  • (A) 20
  • (B) 22
  • (C) 24
  • (D) 26

Correct Answer: C
Explanation:

4 × 30 = 5 × y, so y = 24.

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