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Quantitative Aptitude

Quantitative aptitude questions for competitive exams

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Difficulty: All Easy Medium Hard 111–120 of 429

Topics in Quantitative Aptitude

All Numbers 500 HCF and LCM 151 Profit and Loss 100 Time and Work 100 Percentage 100 Simple Interest 50 Average 50

Q.111 Easy Profit and Loss

A trader marks goods at 60% above cost price and allows a discount of 25%. What is his profit percentage?

A 15%

B 20%

C 25%

D 35%

Correct Answer: B. 20%

EXPLANATION

Let CP = 100. MP = 160. SP = 160 × 0.75 = 120. Profit = 20%.

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Q.112 Easy Profit and Loss

By selling an item for ₹432, a shopkeeper loses 10%. At what price should he sell to gain 20%?

A ₹576

B ₹588

C ₹600

D ₹648

Correct Answer: A. ₹576

EXPLANATION

SP = ₹432 at 10% loss. CP = 432/0.9 = ₹480. For 20% profit: SP = 480 × 1.2 = ₹576.

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Q.113 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.114 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.115 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.116 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.117 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.118 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.119 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.120 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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