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Showing 1–10 of 61 questions in HCF and LCM

Q.1 Easy HCF and LCM

Two trains traveling at 45 km/h and 55 km/h are moving towards each other on parallel tracks. If they are 400 km apart, in how many hours will they meet?

A 3 hours

B 4 hours

C 5 hours

D 6 hours

Correct Answer: B. 4 hours

Explanation:

Relative speed = 45 + 55 = 100 km/h. Time = Distance/Speed = 400/100 = 4 hours

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Q.2 Easy HCF and LCM

If HCF(a, b) = 15 and LCM(a, b) = 450, and a = 75, find b.

A 90

B 100

C 120

D 150

Correct Answer: A. 90

Explanation:

HCF × LCM = a × b. 15 × 450 = 75 × b. 6750 = 75b. b = 90

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Q.3 Easy HCF and LCM

An article is sold at ₹1200 with a loss of 20%. What was the cost price?

A ₹1400

B ₹1500

C ₹1600

D ₹1800

Correct Answer: B. ₹1500

Explanation:

Selling Price = Cost Price × (1 - Loss%). 1200 = CP × 0.8. CP = 1200/0.8 = ₹1500

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Q.4 Easy HCF and LCM

The LCM of 18, 24, and 36 is?

A 72

B 108

C 144

D 216

Correct Answer: A. 72

Explanation:

18 = 2 × 3^2, 24 = 2^3 × 3, 36 = 2^2 × 3^2. LCM = 2^3 × 3^2 = 8 × 9 = 72

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Q.5 Easy HCF and LCM

Simple Interest on ₹5000 at 8% per annum for 2 years is?

A ₹400

B ₹600

C ₹800

D ₹1000

Correct Answer: C. ₹800

Explanation:

SI = (Principal × Rate × Time)/100 = (5000 × 8 × 2)/100 = 80000/100 = ₹800

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Q.6 Easy HCF and LCM

Two pipes A and B can fill a tank in 20 hours and 30 hours respectively. If both pipes are opened together, in how many hours will the tank be filled?

A 10 hours

B 12 hours

C 15 hours

D 18 hours

Correct Answer: B. 12 hours

Explanation:

Work done by A in 1 hour = 1/20. Work done by B in 1 hour = 1/30. Combined = 1/20 + 1/30 = 5/60 = 1/12. Time = 12 hours

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Q.7 Easy HCF and LCM

A man buys an article for ₹800 and sells it at a 25% profit. What is the selling price?

A ₹900

B ₹1000

C ₹1200

D ₹1400

Correct Answer: B. ₹1000

Explanation:

Selling Price = Cost Price + Profit = 800 + (25% of 800) = 800 + 200 = ₹1000

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Q.8 Easy HCF and LCM

A shopkeeper has 48 apples, 72 oranges, and 96 bananas. He wants to pack them into boxes such that each box contains the same number of items of each type. What is the maximum number of boxes needed?

A 12

B 18

C 24

D 36

Correct Answer: C. 24

Explanation:

Maximum boxes = HCF(48, 72, 96) = 24. Each box will have 2 apples, 3 oranges, and 4 bananas

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Q.9 Easy HCF and LCM

The HCF of two numbers is 12 and their LCM is 360. If one number is 60, find the other number.

A 72

B 84

C 96

D 108

Correct Answer: A. 72

Explanation:

Using the formula: HCF × LCM = Product of two numbers. 12 × 360 = 60 × Other number. Other number = 4320/60 = 72

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Q.10 Easy HCF and LCM

If the HCF of 75 and 125 is 'h' and LCM is 'l', then h×l equals?

A 9375

B 8500

C 7500

D 6250

Correct Answer: A. 9375

Explanation:

HCF × LCM = Product of numbers = 75 × 125 = 9375

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