A works twice as fast as B. If B takes 30 days to complete a work, how many days will both take together?

The correct answer is A: 10 days. B takes 30 days, so B's rate = 1/30. A works twice as fast, so A's rate = 2/30 = 1/15. Combined rate = 1/30 + 1/15 = 1/30 + 2/30 = 3/30 = 1/10. Time taken = 10 days.

A tank has two inlet pipes A and B, and one outlet pipe C. A fills in 10 hours, B in 15 hours, C drains in 20 hours. Starting empty, time to fill?

The correct answer is C: 9.6 hours. Net rate = 1/10 + 1/15 - 1/20 = (6+4-3)/60 = 7/60. Time = 60/7 ≈ 8.57. Rechecking: (6+4-3)/60 = 7/60, so 60/7. Let me verify: LCD(10,15,20)=60. 1/10=6/60, 1/15=4/60, 1/20=3/60. Net = 7/60. Time = 60/7 ≈ 8.57. But checking options, 9.6 = 48/5 = 9.6. Verifying: 7/60 gives 8.57, not 9.6. Re-examining:

The product of two numbers is 2028 and their HCF is 13. What is their LCM?

The correct answer is A: 156. Using the formula: HCF × LCM = Product of two numbers. Therefore, 13 × LCM = 2028. LCM = 2028 ÷ 13 = 156.

A shopkeeper buys goods for ₹2,400 and sells 2/3 of it at 20% profit and remaining at 10% loss. What is his overall profit/loss?

The correct answer is D: ₹80 profit. CP₁ = ₹1,600, CP₂ = ₹800. SP₁ = 1600 × 1.20 = ₹1,920. SP₂ = 800 × 0.90 = ₹720. Total SP = ₹2,640. Profit = 2640 - 2400 = ₹240

If the cost price of 18 items equals the selling price of 15 items, what is the profit or loss percentage?

The correct answer is B: 20% profit. When cost price and selling price are related through quantities, we can find profit/loss by comparing their per-unit values. **Step 1: Set Up the Given Relationship** We're told that the cost price of 18 items equals the selling price of 15 items. Let's denote the cost price per item as CP and sell

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Quantitative Aptitude
HCF and LCM

Quantitative aptitude questions for competitive exams

71 Q 7 Topics Take Mock Test

Difficulty: All Easy Medium Hard 71–71 of 71

Topics in Quantitative Aptitude

All Numbers 499 HCF and LCM 151 Profit and Loss 100 Time and Work 100 Percentage 100 Simple Interest 50 Average 50

Q.71 Medium HCF and LCM

Find the HCF and LCM of 36 and 48. What is their product?

A 1728

B 1440

C 1296

D 1680

Correct Answer: A. 1728

EXPLANATION

36 = 2² × 3², 48 = 2⁴ × 3. HCF = 2² × 3 = 12, LCM = 2⁴ × 3² = 144.

Product = 36 × 48 = HCF × LCM = 12 × 144 = 1728.

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Quantitative Aptitude HCF and LCM

Quantitative Aptitude
HCF and LCM