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Quantitative Aptitude

Quantitative aptitude questions for competitive exams

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Difficulty: All Easy Medium Hard 301–310 of 1,106

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.301 Medium Profit and Loss

A manufacturer sells goods to a wholesaler at 20% profit. The wholesaler sells to a retailer at 25% profit. The retailer sells to the customer at 30% profit. If the customer pays ₹1,950, what is the manufacturer's cost price?

A ₹1,000

B ₹1,200

C ₹1,500

D ₹1,300

Correct Answer: A. ₹1,000

EXPLANATION

Let manufacturer's CP = x. Wholesaler's CP = 1.2x. Retailer's CP = 1.2x × 1.25 = 1.5x. Customer pays = 1.5x × 1.3 = 1.95x = 1,950. So x = 1,000.

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Q.302 Medium HCF and LCM

A shopkeeper marks an article at ₹1500 and gives a 30% discount. What is the selling price? Later, he applies an additional 10% discount on the discounted price. What is the final price?

A ₹900

B ₹945

C ₹1000

D ₹1050

Correct Answer: B. ₹945

EXPLANATION

After 30% discount: 1500 × 0.7 = ₹1050. After additional 10%: 1050 × 0.9 = ₹945

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Q.303 Medium HCF and LCM

A pipe can fill a tank in 10 hours and another pipe can empty it in 15 hours. If both pipes are opened together, how long will it take to fill the tank?

A 20 hours

B 25 hours

C 30 hours

D 40 hours

Correct Answer: C. 30 hours

EXPLANATION

Filling rate = 1/10, Emptying rate = 1/15. Net rate = 1/10 - 1/15 = 3/30 - 2/30 = 1/30. Time = 30 hours

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Q.304 Medium HCF and LCM

The ratio of two numbers is 4:5 and their HCF is 8. Find the numbers.

A 24 and 30

B 32 and 40

C 28 and 35

D 36 and 45

Correct Answer: B. 32 and 40

EXPLANATION

Let numbers be 4k and 5k. HCF = k = 8. So numbers are 32 and 40

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Q.305 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.306 Medium HCF and LCM

A man sells two articles. One at 20% profit and another at 20% loss. If both have the same cost price of ₹1000, what is the overall profit or loss?

A No profit, no loss

B 4% profit

C 4% loss

D 5% profit

Correct Answer: C. 4% loss

EXPLANATION

SP1 = 1000 × 1.2 = ₹1200. SP2 = 1000 × 0.8 = ₹800. Total SP = 2000. Total CP = 2000. Loss = 2000 - 1600 = ₹400. Wait, recalculating: Total SP = 2000, Total CP = 2000. No net = 0. Actually: When profit% = loss%, overall is always loss = (r/100)^2 × 100 = (20/100)^2 × 100 = 4% loss

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Q.307 Medium HCF and LCM

Compound Interest on ₹8000 at 10% per annum for 2 years is?

A ₹1600

B ₹1680

C ₹1720

D ₹1800

Correct Answer: B. ₹1680

EXPLANATION

Amount = P(1 + r/100)^t = 8000(1.1)^2 = 8000 × 1.21 = ₹9680. CI = 9680 - 8000 = ₹1680

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Q.308 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.309 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.310 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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