Find the greatest number that divides 1548, 1800, and 1992 exactly.

The correct answer is B: 108. HCF(1548, 1800, 1992): 1548=2²×3²×43; 1800=2³×3²×5²; 1992=2³×3×83. HCF=2²×3²=4×9=36. Recheck: 1548/108=14.33(no). Actual: 1548=12×129=12×3×43; 1800=12×150; 1992=12×166; GCD includes 12. More: 1548/36=43; 1800/36=50; 1992/36=55.33(no). Try 108: 1548/108=14.33; Try 12: all divisible. Actually 108=4×27

A sells goods to B at 20% profit. B sells to C at 15% profit. C's cost price is Rs. 690. What is A's cost price?

The correct answer is A: Rs. 500. C's CP = B's SP = 690. B's CP = 690/1.15 = 600. A's SP = B's CP = 600. A's CP = 600/1.2 = 500

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?

The correct answer is B: 12 hours. 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

Find the largest number that divides both 144 and 108 exactly.

The correct answer is A: 36. 144 = 2⁴ × 3², 108 = 2² × 3³. HCF = 2² × 3² = 4 × 9 = 36.

Two stations are 480 km apart. A train covers distance in 8 hours. What is its speed?

The correct answer is C: 60 km/h. Speed = 480/8 = 60 km/h

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Quantitative aptitude questions for competitive exams

41 Q 7 Topics Take Mock Test

Difficulty: All Easy Medium Hard 21–30 of 41

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.21 Medium Percentage

In 2024, a company's revenue was ₹1 crore. In 2025, it increased by 35%. What is the 2025 revenue?

A ₹1.30 crore

B ₹1.35 crore

C ₹1.40 crore

D ₹1.45 crore

Correct Answer: B. ₹1.35 crore

EXPLANATION

2025 revenue = 1 crore × 1.35 = 1.35 crore.

Test

Q.22 Medium Percentage

A shopkeeper bought goods for ₹5000 and marked them 50% above cost. He gave two successive discounts of 10% and 5%. What is his profit percentage?

A 25.75%

B 26.75%

C 27.5%

D 28.75%

Correct Answer: B. 26.75%

EXPLANATION

CP = 5000, MP = 7500. After 10% discount: 6750. After 5% discount: 6412.5. Profit% = (1412.5/5000) × 100 = 28.25%. Let me recalculate: 7500 × 0.9 × 0.95 = 6412.5. Profit = 1412.5. Profit% = 28.25%. Closest is 28.75% or recalculate: (6412.5-5000)/5000 = 28.25%.

Test

Q.23 Medium Percentage

A property depreciates by 5% annually. If its current value is ₹5,00,000, what will be its value after 2 years?

A ₹4,50,000

B ₹4,51,250

C ₹4,52,500

D ₹4,75,000

Correct Answer: B. ₹4,51,250

EXPLANATION

Value = 500,000 × (0.95)² = 500,000 × 0.9025 = 451,250.

Test

Q.24 Medium Percentage

An article is sold for ₹1100 at a profit of 10%. What was the cost price?

A ₹1000

B ₹1010

C ₹1050

D ₹1090

Correct Answer: A. ₹1000

EXPLANATION

CP × 1.1 = 1100, so CP = 1000.

Test

Q.25 Medium Percentage

A store reduces prices by 30% during a sale. If an item was ₹500, what is the sale price?

A ₹350

B ₹400

C ₹450

D ₹470

Correct Answer: A. ₹350

EXPLANATION

Sale price = 500 × 0.7 = 350.

Test

Q.26 Medium Percentage

If an item's value appreciates by 8% annually, what will be its value after 2 years if current value is ₹10,000?

A ₹11,664

B ₹11,600

C ₹11,800

D ₹12,000

Correct Answer: A. ₹11,664

EXPLANATION

Value = 10,000 × (1.08)² = 10,000 × 1.1664 = 11,664.

Test

Q.27 Medium Percentage

A man bought a watch for ₹1200 and sold it at a loss of 15%. What is the selling price?

A ₹980

B ₹990

C ₹1000

D ₹1020

Correct Answer: D. ₹1020

EXPLANATION

SP = 1200 × 0.85 = 1020.

Test

Q.28 Medium Percentage

Two successive discounts of 15% and 10% are applied to an item priced at ₹2000. What is the final price?

A ₹1530

B ₹1550

C ₹1570

D ₹1600

Correct Answer: A. ₹1530

EXPLANATION

After 15% discount: 2000 × 0.85 = 1700. After 10% discount: 1700 × 0.9 = 1530.

Test

Q.29 Medium Percentage

A retailer marks goods 60% above cost and gives a 20% discount. What is his profit%?

A 28%

B 32%

C 35%

D 40%

Correct Answer: A. 28%

EXPLANATION

CP = 100, MP = 160, SP = 160 × 0.8 = 128. Profit% = 28%.

Test

Q.30 Medium Percentage

A merchant buys goods worth ₹8000 and marks them up by 60%. He then offers a 25% discount. What is his profit percentage?

A 15%

B 18%

C 20%

D 25%

Correct Answer: C. 20%

EXPLANATION

MP = 8000 × 1.60 = 12,800. SP = 12,800 × 0.75 = 9,600. Profit = 9,600 - 8,000 = 1,600. Profit% = (1,600/8,000) × 100 = 20%.

Test

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