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Question (21)

QN0030453

Find the HCF of 84 and 180.

(A) 6
(B) 12
(C) 18
(D) 24

Correct Answer: B

Explanation:

Prime factorisation: 84 = 2² × 3 × 7, 180 = 2² × 3² × 5. HCF = 2² × 3 = 12.

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Question (22)

QN0030454

The HCF of 81 and 243 is:

(A) 9
(B) 27
(C) 81
(D) 243

Correct Answer: C

Explanation:

Since 243 = 81 × 3, the HCF is 81.

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Question (23)

QN0030455

The HCF of 140 and 275 is:

(A) 5
(B) 7
(C) 10
(D) 35

Correct Answer: A

Explanation:

Prime factorisation: 140 = 2² × 5 × 7, 275 = 5² × 11. HCF = 5.

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Question (24)

QN0030456

Find the HCF of 240 and 378.

(A) 4
(B) 6
(C) 12
(D) 18

Correct Answer: B

Explanation:

Prime factorisation gives HCF = 2 × 3 = 6.

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Question (25)

QN0030457

Which of the following is the prime factorisation of 225?

(A) 3 × 3 × 5 × 5
(B) 3 × 5 × 15
(C) 9 × 25
(D) 5 × 45

Correct Answer: A

Explanation:

225 = 3² × 5².

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Question (26)

QN0030458

The HCF of 300 and 800 is:

(A) 50
(B) 100
(C) 150
(D) 200

Correct Answer: B

Explanation:

Prime factorisation gives HCF = 2² × 5² = 100.

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Question (27)

QN0030459

Find the HCF of 50 and 60.

(A) 5
(B) 10
(C) 15
(D) 20

Correct Answer: B

Explanation:

HCF = 10.

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Question (28)

QN0030460

The prime factorisation of a number is 2 × 2 × 2 × 3 × 7. Which of the following is a factor of the number?

(A) 18
(B) 42
(C) 63
(D) 84

Correct Answer: B

Explanation:

42 = 2 × 3 × 7, which is formed using the available prime factors.

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Question (29)

QN0030461

The HCF of 370 and 592 is:

(A) 2
(B) 74
(C) 8
(D) 37

Correct Answer: B

Explanation:

Prime factorisation: 370 = 2 × 5 × 37, 592 = 2⁴ × 37. HCF = 74? No. Common factors are 2 and 37, so HCF = 74

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Question (30)

QN0030462

A room is 30 ft long and 42 ft wide. The floor is to be covered using the largest possible square tiles without cutting any tile. What should be the side of each tile?

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

Correct Answer: C

Explanation:

HCF of 30 and 42 is 6.

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Question (21)

Find the HCF of 84 and 180.

Explanation:

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Question (22)

The HCF of 81 and 243 is:

Explanation:

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Question (23)

The HCF of 140 and 275 is:

Explanation:

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Question (24)

Find the HCF of 240 and 378.

Explanation:

Link:

Question (25)

Which of the following is the prime factorisation of 225?

Explanation:

Link:

Question (26)

The HCF of 300 and 800 is:

Explanation:

Link:

Question (27)

Find the HCF of 50 and 60.

Explanation:

Link:

Question (28)

The prime factorisation of a number is 2 × 2 × 2 × 3 × 7. Which of the following is a factor of the number?

Explanation:

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Question (29)

The HCF of 370 and 592 is:

Explanation:

Link:

Question (30)

A room is 30 ft long and 42 ft wide. The floor is to be covered using the largest possible square tiles without cutting any tile. What should be the side of each tile?

Explanation:

Link:

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