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Question (11)

QN0030523

Which pair of numbers has HCF equal to 5?

(A) 20 and 35
(B) 24 and 30
(C) 36 and 42
(D) 18 and 28

Correct Answer: A

Explanation:

HCF of 20 and 35 is 5.

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Question (12)

QN0030524

The product of two numbers is 420. Their HCF is 7. What is their LCM?

(A) 49
(B) 60
(C) 70
(D) 84

Correct Answer: B

Explanation:

LCM = 420 ÷ 7 = 60.

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Question (13)

QN0030525

Which statement about two consecutive even numbers is correct?

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

Correct Answer: B

Explanation:

Consecutive even numbers differ by 2 and always have HCF 2.

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Question (14)

QN0030526

Find the HCF and LCM of 16 and 24. Which option is correct?

(A) HCF = 4, LCM = 96
(B) HCF = 8, LCM = 48
(C) HCF = 16, LCM = 24
(D) HCF = 2, LCM = 192

Correct Answer: B

Explanation:

HCF = 8 and LCM = (16 × 24) ÷ 8 = 48.

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Question (15)

QN0030527

Which statement is correct about the simultaneous division method for finding HCF and LCM?

(A) It gives only the HCF.
(B) It gives only the LCM.
(C) It can be used to find both HCF and LCM together.
(D) It works only for prime numbers.

Correct Answer: C

Explanation:

The simultaneous division method finds both HCF and LCM together.

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Question (16)

QN0030528

If two numbers are 25 and 40, then HCF × LCM equals:

(A) 100
(B) 200
(C) 500
(D) 1000

Correct Answer: D

Explanation:

HCF × LCM = Product = 25 × 40 = 1000.

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Question (17)

QN0030529

Which of the following pairs has the greatest possible HCF?

(A) 18 and 27
(B) 25 and 36
(C) 28 and 45
(D) 32 and 45

Correct Answer: A

Explanation:

HCF(18, 27) = 9, which is greater than the HCF of the other pairs.

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Question (18)

QN0030530

If the HCF of two numbers is 1, then the numbers are called:

(A) Composite numbers
(B) Twin primes
(C) Co-prime numbers
(D) Consecutive multiples

Correct Answer: C

Explanation:

Numbers with HCF 1 are called co-prime numbers.

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Question (19)

QN0030531

Two numbers are 14 and 42. Which statement is correct?

(A) HCF = 7 and LCM = 84
(B) HCF = 14 and LCM = 42
(C) HCF = 42 and LCM = 14
(D) HCF = 1 and LCM = 588

Correct Answer: B

Explanation:

Since 14 divides 42, HCF = 14 and LCM = 42.

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Question (20)

QN0030532

Which relationship is always true for any two positive integers?

(A) HCF + LCM = Product of the numbers
(B) HCF × LCM = Product of the numbers
(C) HCF − LCM = Product of the numbers
(D) HCF ÷ LCM = Product of the numbers

Correct Answer: B

Explanation:

Product of two numbers = HCF × LCM.

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Question (11)

Which pair of numbers has HCF equal to 5?

Explanation:

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Question (12)

The product of two numbers is 420. Their HCF is 7. What is their LCM?

Explanation:

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Question (13)

Which statement about two consecutive even numbers is correct?

Explanation:

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Question (14)

Find the HCF and LCM of 16 and 24. Which option is correct?

Explanation:

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Question (15)

Which statement is correct about the simultaneous division method for finding HCF and LCM?

Explanation:

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Question (16)

If two numbers are 25 and 40, then HCF × LCM equals:

Explanation:

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Question (17)

Which of the following pairs has the greatest possible HCF?

Explanation:

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Question (18)

If the HCF of two numbers is 1, then the numbers are called:

Explanation:

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Question (19)

Two numbers are 14 and 42. Which statement is correct?

Explanation:

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Question (20)

Which relationship is always true for any two positive integers?

Explanation:

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