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Question (31)

QN0019882

The ratio 10 : 15 : 25 reduced to simplest form is:

(A) 1 : 2 : 3
(B) 2 : 3 : 5
(C) 3 : 4 : 5
(D) 5 : 6 : 7

Correct Answer: B

Explanation:

Divide all terms by 5.

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Question (32)

QN0019883

If flour : sugar : butter = 8 : 2 : 1 and butter is 5 kg, flour is:

(A) 20 kg
(B) 30 kg
(C) 40 kg
(D) 50 kg

Correct Answer: C

Explanation:

Scale factor = 5, so flour = 8×5 = 40 kg.

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Question (33)

QN0019884

Which of the following is not proportional to 2 : 4 : 6?

(A) 1 : 2 : 3
(B) 3 : 6 : 9
(C) 4 : 8 : 12
(D) 2 : 5 : 6

Correct Answer: D

Explanation:

2 : 5 : 6 does not have the same proportional relationship.

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Question (34)

QN0019885

A ratio 6 : 9 : 12 is multiplied by 0.5. The new ratio is:

(A) 3 : 4.5 : 6
(B) 2 : 3 : 4
(C) 1 : 2 : 3
(D) 6 : 9 : 12

Correct Answer: A

Explanation:

Multiply each term by 0.5.

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Question (35)

QN0019886

In a ratio 3 : 2 : 1, if the second quantity is 18, the first quantity is:

(A) 24
(B) 27
(C) 30
(D) 36

Correct Answer: B

Explanation:

Scale factor = 9, so first quantity = 3×9 = 27.

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Question (36)

QN0019887

A drink contains water : syrup : soda = 6 : 2 : 4. If soda is 12 L, water is:

(A) 16 L
(B) 18 L
(C) 20 L
(D) 24 L

Correct Answer: B

Explanation:

Scale factor = 3, so water = 6×3 = 18 L.

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Question (37)

QN0019888

If a : b : c : d = 1 : 2 : 3 : 4 and a = 5, then d =

(A) 15
(B) 18
(C) 20
(D) 25

Correct Answer: C

Explanation:

Scale factor = 5, so d = 4×5 = 20.

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Question (38)

QN0019889

A packet contains red : yellow : blue marbles = 4 : 3 : 5. If yellow marbles are 21, blue marbles are:

(A) 28
(B) 30
(C) 35
(D) 40

Correct Answer: C

Explanation:

Scale factor = 7, so blue marbles = 5×7 = 35.

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Question (39)

QN0019890

If 2 : 3 : 4 :: 8 : 12 : x, then x =

(A) 14
(B) 15
(C) 16
(D) 18

Correct Answer: C

Explanation:

Scale factor = 4, so x = 4×4 = 16.

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Question (40)

QN0019891

Why must all quantities be multiplied or divided by the same factor to maintain a multi-term ratio?

(A) To increase the total quantity
(B) To preserve the proportional relationship among all terms
(C) To make calculations easier
(D) To avoid fractions

Correct Answer: B

Explanation:

Using the same factor keeps the ratio unchanged.

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Question (31)

The ratio 10 : 15 : 25 reduced to simplest form is:

Explanation:

Link:

Question (32)

If flour : sugar : butter = 8 : 2 : 1 and butter is 5 kg, flour is:

Explanation:

Link:

Question (33)

Which of the following is not proportional to 2 : 4 : 6?

Explanation:

Link:

Question (34)

A ratio 6 : 9 : 12 is multiplied by 0.5. The new ratio is:

Explanation:

Link:

Question (35)

In a ratio 3 : 2 : 1, if the second quantity is 18, the first quantity is:

Explanation:

Link:

Question (36)

A drink contains water : syrup : soda = 6 : 2 : 4. If soda is 12 L, water is:

Explanation:

Link:

Question (37)

If a : b : c : d = 1 : 2 : 3 : 4 and a = 5, then d =

Explanation:

Link:

Question (38)

A packet contains red : yellow : blue marbles = 4 : 3 : 5. If yellow marbles are 21, blue marbles are:

Explanation:

Link:

Question (39)

If 2 : 3 : 4 :: 8 : 12 : x, then x =

Explanation:

Link:

Question (40)

Why must all quantities be multiplied or divided by the same factor to maintain a multi-term ratio?

Explanation:

Link:

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