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Question (21)

QN0030493

Find the LCM of 18 and 30.

(A) 60
(B) 90
(C) 120
(D) 180

Correct Answer: B

Explanation:

Prime factorisation: 18 = 2 × 3² and 30 = 2 × 3 × 5. LCM = 2 × 3² × 5 = 90.

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Question (22)

QN0030494

The LCM of 25 and 40 is:

(A) 100
(B) 150
(C) 200
(D) 400

Correct Answer: C

Explanation:

Prime factorisation: 25 = 5² and 40 = 2³ × 5. LCM = 2³ × 5² = 200.

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Question (23)

QN0030495

Find the LCM of 14 and 24.

(A) 84
(B) 96
(C) 112
(D) 168

Correct Answer: D

Explanation:

14 = 2 × 7 and 24 = 2³ × 3. LCM = 2³ × 3 × 7 = 168.

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Question (24)

QN0030496

Which of the following is the first common multiple of 8 and 14?

(A) 28
(B) 42
(C) 56
(D) 112

Correct Answer: C

Explanation:

The least common multiple of 8 and 14 is 56.

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Question (25)

QN0030497

The LCM of 32 and 48 is:

(A) 64
(B) 96
(C) 128
(D) 192

Correct Answer: B

Explanation:

Prime factorisation: 32 = 2⁵ and 48 = 2⁴ × 3. LCM = 2⁵ × 3 = 96.

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Question (26)

QN0030498

Find the LCM of 27 and 36.

(A) 54
(B) 72
(C) 108
(D) 216

Correct Answer: C

Explanation:

Prime factorisation: 27 = 3³ and 36 = 2² × 3². LCM = 2² × 3³ = 108.

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Question (27)

QN0030499

The prime factorisations of two numbers are: 20 = 2² × 5 45 = 3² × 5 The LCM is:

(A) 90
(B) 120
(C) 180
(D) 360

Correct Answer: C

Explanation:

LCM = 2² × 3² × 5 = 180.

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Question (28)

QN0030500

Which of the following is a common multiple of 15 and 18?

(A) 45
(B) 54
(C) 72
(D) 90

Correct Answer: D

Explanation:

90 is divisible by both 15 and 18.

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Question (29)

QN0030501

Find the LCM of 28 and 35.

(A) 70
(B) 105
(C) 140
(D) 280

Correct Answer: C

Explanation:

28 = 2² × 7 and 35 = 5 × 7. LCM = 2² × 5 × 7 = 140.

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Question (30)

QN0030502

Two buses leave a station every 24 minutes and 36 minutes respectively. If both leave together now, after how many minutes will they leave together again?

(A) 48
(B) 60
(C) 72
(D) 144

Correct Answer: C

Explanation:

LCM of 24 and 36 is 72 minutes.

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Question (21)

Find the LCM of 18 and 30.

Explanation:

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Question (22)

The LCM of 25 and 40 is:

Explanation:

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Question (23)

Find the LCM of 14 and 24.

Explanation:

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Question (24)

Which of the following is the first common multiple of 8 and 14?

Explanation:

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Question (25)

The LCM of 32 and 48 is:

Explanation:

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Question (26)

Find the LCM of 27 and 36.

Explanation:

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Question (27)

The prime factorisations of two numbers are: 20 = 2² × 5 45 = 3² × 5 The LCM is:

Explanation:

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Question (28)

Which of the following is a common multiple of 15 and 18?

Explanation:

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Question (29)

Find the LCM of 28 and 35.

Explanation:

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Question (30)

Two buses leave a station every 24 minutes and 36 minutes respectively. If both leave together now, after how many minutes will they leave together again?

Explanation:

Link:

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