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Question (1)

QN0030433

Which of the following best defines the Highest Common Factor (HCF) of two or more numbers?

(A) The smallest common multiple of the given numbers
(B) The greatest among all the common factors of the given numbers
(C) The greatest multiple common to the given numbers
(D) The product of all common factors

Correct Answer: B

Explanation:

The HCF is the greatest among all the common factors.

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Question (2)

QN0030434

The Highest Common Factor (HCF) is also known as the:

(A) Lowest Common Multiple (LCM)
(B) Greatest Common Divisor (GCD)
(C) Prime Multiple
(D) Common Product

Correct Answer: B

Explanation:

HCF is also called the Greatest Common Divisor (GCD).

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Question (3)

QN0030435

A prime number is a number that:

(A) Has exactly two factors, 1 and itself
(B) Has more than two factors
(C) Is divisible by every number
(D) Has only one factor

Correct Answer: A

Explanation:

A prime number has exactly two distinct factors.

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Question (4)

QN0030436

The prime factorisation of the number 105 is:

(A) 3 × 5 × 7
(B) 5 × 21
(C) 7 × 15
(D) 2 × 3 × 5 × 7

Correct Answer: A

Explanation:

105 = 3 × 5 × 7.

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Question (5)

QN0030437

Find the HCF of 18 and 24.

(A) 2
(B) 3
(C) 6
(D) 12

Correct Answer: C

Explanation:

Prime factorisation: 18 = 2 × 3² and 24 = 2³ × 3. HCF = 2 × 3 = 6.

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Question (6)

QN0030438

The HCF of 28 and 42 is:

(A) 7
(B) 14
(C) 21
(D) 28

Correct Answer: B

Explanation:

HCF = 2 × 7 = 14.

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Question (7)

QN0030439

Find the HCF of 32 and 48.

(A) 8
(B) 12
(C) 16
(D) 24

Correct Answer: C

Explanation:

Prime factorisation gives HCF = 2⁴ = 16.

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Question (8)

QN0030440

The HCF of 35 and 64 is:

(A) 1
(B) 5
(C) 7
(D) 8

Correct Answer: A

Explanation:

They have no common prime factor. Hence, HCF = 1.

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Question (9)

QN0030441

Find the HCF of 54 and 90.

(A) 6
(B) 9
(C) 18
(D) 27

Correct Answer: C

Explanation:

HCF = 2 × 3² = 18.

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Question (10)

QN0030442

Which of the following is a common factor of both 84 and 126?

(A) 16
(B) 18
(C) 21
(D) 28

Correct Answer: C

Explanation:

21 divides both 84 and 126 exactly.

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Question (1)

Which of the following best defines the Highest Common Factor (HCF) of two or more numbers?

Explanation:

Link:

Question (2)

The Highest Common Factor (HCF) is also known as the:

Explanation:

Link:

Question (3)

A prime number is a number that:

Explanation:

Link:

Question (4)

The prime factorisation of the number 105 is:

Explanation:

Link:

Question (5)

Find the HCF of 18 and 24.

Explanation:

Link:

Question (6)

The HCF of 28 and 42 is:

Explanation:

Link:

Question (7)

Find the HCF of 32 and 48.

Explanation:

Link:

Question (8)

The HCF of 35 and 64 is:

Explanation:

Link:

Question (9)

Find the HCF of 54 and 90.

Explanation:

Link:

Question (10)

Which of the following is a common factor of both 84 and 126?

Explanation:

Link:

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