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Question (21)

QN0030533

Two numbers have HCF 9 and LCM 180. If one number is 45, what is the other number?

(A) 18
(B) 24
(C) 36
(D) 54

Correct Answer: C

Explanation:

Other number = (9 × 180) ÷ 45 = 36.

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Question (22)

QN0030534

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

(A) 24 and 35
(B) 18 and 30
(C) 28 and 42
(D) 36 and 54

Correct Answer: A

Explanation:

HCF of 24 and 35 is 1.

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Question (23)

QN0030535

Find the HCF and LCM of 20 and 50. Which option is correct?

(A) HCF = 5, LCM = 100
(B) HCF = 10, LCM = 100
(C) HCF = 20, LCM = 50
(D) HCF = 10, LCM = 50

Correct Answer: B

Explanation:

HCF = 10 and LCM = (20 × 50) ÷ 10 = 100.

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Question (24)

QN0030536

Which statement is always true for two consecutive odd numbers?

(A) Their HCF is always 2.
(B) They are always co-prime.
(C) Their HCF is always 1.
(D) Their LCM is always even.

Correct Answer: C

Explanation:

Consecutive odd numbers always have HCF 1.

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Question (25)

QN0030537

If one number is 18 and the HCF of two numbers is 6 while their LCM is 90, the other number is:

(A) 24
(B) 30
(C) 36
(D) 45

Correct Answer: B

Explanation:

Other number = (6 × 90) ÷ 18 = 30.

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Question (26)

QN0030538

Which of the following pairs has LCM equal to the larger number?

(A) 16 and 48
(B) 15 and 28
(C) 18 and 25
(D) 21 and 32

Correct Answer: A

Explanation:

Since 16 is a factor of 48, the LCM is 48.

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Question (27)

QN0030539

The product of two numbers is 864. Their LCM is 144. What is their HCF?

(A) 4
(B) 6
(C) 8
(D) 12

Correct Answer: B

Explanation:

HCF = 864 ÷ 144 = 6.

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Question (28)

QN0030540

Which statement about co-prime numbers is correct?

(A) Both numbers must be prime.
(B) Their HCF is always 1.
(C) Their LCM is always 1.
(D) One number must be even.

Correct Answer: B

Explanation:

Co-prime numbers have HCF equal to 1.

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Question (29)

QN0030541

Find the HCF and LCM of 27 and 36. Which option is correct?

(A) HCF = 9, LCM = 108
(B) HCF = 3, LCM = 324
(C) HCF = 18, LCM = 54
(D) HCF = 9, LCM = 72

Correct Answer: A

Explanation:

HCF = 9 and LCM = (27 × 36) ÷ 9 = 108.

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Question (30)

QN0030542

Which of the following pairs has HCF equal to 1?

(A) 22 and 33
(B) 26 and 39
(C) 35 and 48
(D) 28 and 42

Correct Answer: C

Explanation:

35 and 48 have no common factor other than 1.

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Question (21)

Two numbers have HCF 9 and LCM 180. If one number is 45, what is the other number?

Explanation:

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Question (22)

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

Explanation:

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Question (23)

Find the HCF and LCM of 20 and 50. Which option is correct?

Explanation:

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Question (24)

Which statement is always true for two consecutive odd numbers?

Explanation:

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Question (25)

If one number is 18 and the HCF of two numbers is 6 while their LCM is 90, the other number is:

Explanation:

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Question (26)

Which of the following pairs has LCM equal to the larger number?

Explanation:

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Question (27)

The product of two numbers is 864. Their LCM is 144. What is their HCF?

Explanation:

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Question (28)

Which statement about co-prime numbers is correct?

Explanation:

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Question (29)

Find the HCF and LCM of 27 and 36. Which option is correct?

Explanation:

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Question (30)

Which of the following pairs has HCF equal to 1?

Explanation:

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