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Question (1)

QN0030513

Which statement is always true for any two consecutive natural numbers?

(A) Their HCF is 2.
(B) Their LCM is equal to the larger number.
(C) Their HCF is 1.
(D) Their LCM is 1.

Correct Answer: C

Explanation:

Consecutive natural numbers are always co-prime.

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Question (2)

QN0030514

The HCF of two co-prime numbers is always:

(A) 0
(B) 1
(C) The smaller number
(D) The larger number

Correct Answer: B

Explanation:

Co-prime numbers have only one common factor, 1.

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Question (3)

QN0030515

Which of the following pairs of numbers is always co-prime?

(A) Two consecutive natural numbers
(B) Two even numbers
(C) Two odd numbers
(D) Two multiples of 5

Correct Answer: A

Explanation:

Any two consecutive natural numbers are always co-prime.

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Question (4)

QN0030516

If two numbers are co-prime, then their LCM is equal to:

(A) Their difference
(B) Their sum
(C) Their product
(D) Their HCF

Correct Answer: C

Explanation:

For co-prime numbers, LCM = Product of the numbers.

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Question (5)

QN0030517

Find the HCF and LCM of 8 and 15. Which option is correct?

(A) HCF = 1, LCM = 120
(B) HCF = 2, LCM = 60
(C) HCF = 8, LCM = 15
(D) HCF = 1, LCM = 23

Correct Answer: A

Explanation:

Since 8 and 15 are co-prime, HCF = 1 and LCM = 8 × 15 = 120.

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Question (6)

QN0030518

Which statement is true for any two even numbers?

(A) Their HCF is always 1.
(B) Their HCF is always an even number.
(C) Their LCM is always odd.
(D) They are always co-prime.

Correct Answer: B

Explanation:

Every even number has 2 as a factor, so the HCF is always even.

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Question (7)

QN0030519

The HCF of 18 and 19 is:

(A) 18
(B) 19
(C) 2
(D) 1

Correct Answer: D

Explanation:

Consecutive numbers have HCF 1.

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Question (8)

QN0030520

Which of the following pairs has HCF equal to the smaller number?

(A) 14 and 28
(B) 15 and 28
(C) 18 and 25
(D) 21 and 32

Correct Answer: A

Explanation:

Since 14 is a factor of 28, the HCF is 14.

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Question (9)

QN0030521

If one number is a factor of another number, then the LCM of the two numbers is:

(A) Their HCF
(B) The smaller number
(C) The larger number
(D) Their product

Correct Answer: C

Explanation:

When one number divides the other, the larger number is the LCM.

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Question (10)

QN0030522

The HCF and LCM of two numbers are 6 and 72 respectively. If one number is 18, the other number is:

(A) 20
(B) 24
(C) 30
(D) 36

Correct Answer: B

Explanation:

Other number = (6 × 72) ÷ 18 = 24.

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Question (1)

Which statement is always true for any two consecutive natural numbers?

Explanation:

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Question (2)

The HCF of two co-prime numbers is always:

Explanation:

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Question (3)

Which of the following pairs of numbers is always co-prime?

Explanation:

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Question (4)

If two numbers are co-prime, then their LCM is equal to:

Explanation:

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Question (5)

Find the HCF and LCM of 8 and 15. Which option is correct?

Explanation:

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Question (6)

Which statement is true for any two even numbers?

Explanation:

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Question (7)

The HCF of 18 and 19 is:

Explanation:

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Question (8)

Which of the following pairs has HCF equal to the smaller number?

Explanation:

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Question (9)

If one number is a factor of another number, then the LCM of the two numbers is:

Explanation:

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Question (10)

The HCF and LCM of two numbers are 6 and 72 respectively. If one number is 18, the other number is:

Explanation:

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