EWT | Academic Question

Questions
Question (11)
QN0019862
If a : b : c :: 4 : 6 : 8 and a = 12, then b =
  • (A) 16
  • (B) 18
  • (C) 20
  • (D) 24

Correct Answer: B
Explanation:

Scale factor = 3, so b = 6×3 = 18.

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Question (12)
QN0019863
A mixture contains rice : wheat : pulses = 3 : 5 : 2. If rice is 15 kg, wheat is:
  • (A) 20 kg
  • (B) 25 kg
  • (C) 30 kg
  • (D) 35 kg

Correct Answer: B
Explanation:

Scale factor = 5, so wheat = 5×5 = 25 kg.

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Question (13)
QN0019864
If 2 : 5 : 7 :: 4 : 10 : x, then x =
  • (A) 12
  • (B) 13
  • (C) 14
  • (D) 15

Correct Answer: C
Explanation:

The ratio is doubled, so x = 14.

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Question (14)
QN0019865
The ratio 8 : 12 : 16 in simplest form is:
  • (A) 2 : 3 : 4
  • (B) 4 : 6 : 8
  • (C) 1 : 2 : 3
  • (D) 3 : 4 : 5

Correct Answer: A
Explanation:

Divide all terms by 4.

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Question (15)
QN0019866
If 5 : 10 : 15 is multiplied by 2, the new ratio becomes:
  • (A) 5 : 10 : 15
  • (B) 10 : 20 : 30
  • (C) 15 : 20 : 25
  • (D) 20 : 30 : 40

Correct Answer: B
Explanation:

Multiply each term by 2.

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Question (16)
QN0019867
In the ratio 3 : 4 : 5, if the first quantity is 21, the third quantity is:
  • (A) 28
  • (B) 30
  • (C) 35
  • (D) 42

Correct Answer: C
Explanation:

Scale factor = 7, so third quantity = 5×7 = 35.

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Question (17)
QN0019868
A classroom has boys : girls : teachers = 12 : 15 : 3. If teachers are 6, girls are:
  • (A) 24
  • (B) 28
  • (C) 30
  • (D) 36

Correct Answer: C
Explanation:

Scale factor = 2, so girls = 15×2 = 30.

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Question (18)
QN0019869
If 7 : 14 : 21 :: 1 : 2 : x, then x =
  • (A) 2
  • (B) 3
  • (C) 4
  • (D) 5

Correct Answer: B
Explanation:

Simplifying gives 1 : 2 : 3.

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Question (19)
QN0019870
A spice mix contains ingredients in the ratio 4 : 2 : 1 : 0.5. If the second ingredient is 8 spoons, the first ingredient is:
  • (A) 12 spoons
  • (B) 14 spoons
  • (C) 16 spoons
  • (D) 18 spoons

Correct Answer: C
Explanation:

Scale factor = 4, so first ingredient = 4×4 = 16 spoons.

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Question (20)
QN0019871
Which equality is true when a : b : c :: p : q : r?
  • (A) a + b = p + q
  • (B) a/p = b/q = c/r
  • (C) a − b = p − q
  • (D) a × b = p × q

Correct Answer: B
Explanation:

Corresponding terms have equal ratios.

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