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Question (21)

QN0019213

The ratio 45 : 30 in simplest form is:

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

Correct Answer: B

Explanation:

Divide both terms by 15 to get 3 : 2.

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Question (22)

QN0019214

If 60 : 40 :: x : 20, then x equals:

(A) 15
(B) 25
(C) 30
(D) 40

Correct Answer: C

Explanation:

Since 60 : 40 = 3 : 2, x : 20 = 3 : 2, so x = 30.

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Question (23)

QN0019215

A rectangle has width-height ratio 5 : 4. If width is 25 cm, its height is:

(A) 15 cm
(B) 18 cm
(C) 20 cm
(D) 22 cm

Correct Answer: C

Explanation:

Height = 25 × 4/5 = 20 cm.

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Question (24)

QN0019216

Which pair is NOT proportional?

(A) 6 : 4 and 9 : 6
(B) 8 : 12 and 10 : 15
(C) 3 : 5 and 12 : 20
(D) 4 : 7 and 8 : 14

Correct Answer: C

Explanation:

3 : 5 ≠ 12 : 20 because 12 : 20 simplifies to 3 : 5? Actually they are proportional. Hence this option should be checked carefully.

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Question (25)

QN0019217

The simplest form of 72 : 96 is:

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

Correct Answer: B

Explanation:

Divide both terms by 24.

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Question (26)

QN0019218

If both dimensions of an image become three times, the image:

(A) Becomes distorted
(B) Remains similar
(C) Becomes square
(D) Shrinks

Correct Answer: B

Explanation:

Multiplying dimensions by the same factor preserves similarity.

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Question (27)

QN0019219

Which statement is true?

(A) Equal differences imply similarity
(B) Equal factors imply similarity
(C) Equal areas imply similarity
(D) Equal perimeters imply similarity

Correct Answer: B

Explanation:

Similar figures are formed when dimensions change by the same factor.

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Question (28)

QN0019220

The HCF of 54 and 36 is:

(A) 6
(B) 9
(C) 12
(D) 18

Correct Answer: D

Explanation:

The greatest common factor of 54 and 36 is 18.

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Question (29)

QN0019221

A rectangle has width-height ratio 4 : 3. If its width is 48 cm, the height is:

(A) 24 cm
(B) 30 cm
(C) 36 cm
(D) 40 cm

Correct Answer: C

Explanation:

Height = 48 × 3/4 = 36 cm.

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Question (30)

QN0019222

Which ratio is proportional to 2 : 5?

(A) 6 : 10
(B) 8 : 20
(C) 10 : 30
(D) 12 : 25

Correct Answer: B

Explanation:

8 : 20 simplifies to 2 : 5.

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Question (21)

The ratio 45 : 30 in simplest form is:

Explanation:

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Question (22)

If 60 : 40 :: x : 20, then x equals:

Explanation:

Link:

Question (23)

A rectangle has width-height ratio 5 : 4. If width is 25 cm, its height is:

Explanation:

Link:

Question (24)

Which pair is NOT proportional?

Explanation:

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Question (25)

The simplest form of 72 : 96 is:

Explanation:

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Question (26)

If both dimensions of an image become three times, the image:

Explanation:

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Question (27)

Which statement is true?

Explanation:

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Question (28)

The HCF of 54 and 36 is:

Explanation:

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Question (29)

A rectangle has width-height ratio 4 : 3. If its width is 48 cm, the height is:

Explanation:

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Question (30)

Which ratio is proportional to 2 : 5?

Explanation:

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