A shopkeeper bought goods for ₹5000 and marked them 80% above the cost price. He gives two successive discounts of 20% and 15%. Find his profit percentage.

The correct answer is B: 42.4%. MP = 5000 × 1.80 = ₹9000. SP = 9000 × 0.80 × 0.85 = ₹6120. Profit = 1120. Profit% = (1120/5000) × 100 = 22.4%. Correction: (6120-5000)/5000 × 100 = 22.4%. Recalculate: 9000 × 0.8 = 7200. 7200 × 0.85 = 6120. Profit = 6120-5000 = 1120. % = 22.4%. Closest to option seems error. Actual: ≈22.4%, but clos

What is the remainder when 2^50 is divided by 5?

The correct answer is D: 4. Powers of 2 mod 5: 2¹≡2, 2²≡4, 2³≡3, 2⁴≡1, 2⁵≡2... Pattern repeats every 4. 50 = 4×12 + 2, so 2⁵⁰ ≡ 2² ≡ 4 (mod 5).

A shopkeeper allows successive discounts of 15% and 10% on marked price. If selling price is ₹459, what is the marked price?

The correct answer is A: ₹600. MP × 0.85 × 0.90 = 459. MP × 0.765 = 459. MP = 459/0.765 = ₹600

The LCM of two numbers is 144 and their HCF is 12. If one number is 36, what is the other?

The correct answer is A: 48. HCF × LCM = Product of numbers. 12 × 144 = 36 × other. 1728 = 36 × other. Other = 1728 ÷ 36 = 48.

A town's population was 5,00,000 in 2022. It decreased by 8% in 2023 and then increased by 10% in 2024. What is the population in 2024?

The correct answer is C: 5,12,000. Population in 2023 = 5,00,000 × 0.92 = 4,60,000. Population in 2024 = 4,60,000 × 1.10 = 5,06,000

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Quantitative Aptitude
Time and Work

Quantitative aptitude questions for competitive exams

32 Q 7 Topics Take Mock Test

Difficulty: All Easy Medium Hard 1–10 of 32

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.1 Easy Time and Work

A pipe fills a tank in 10 hours and another empties it in 15 hours. If both start simultaneously, when will the tank be filled?

A 25 hours

B 30 hours

C 35 hours

D 40 hours

Correct Answer: B. 30 hours

EXPLANATION

Fill rate = 1/10, Empty rate = 1/15. Net = 1/10 - 1/15 = 1/30. Time = 30 hours

Test

Q.2 Easy Time and Work

A profit of 20% is made when an article is sold for ₹480. What is the cost price?

A ₹350

B ₹380

C ₹400

D ₹420

Correct Answer: C. ₹400

EXPLANATION

SP = CP × 1.20. 480 = CP × 1.20. CP = 480/1.20 = ₹400

Test

Q.3 Easy Time and Work

Principal ₹5000, Rate 8% per annum, Time 2 years. Find Simple Interest.

A ₹600

B ₹700

C ₹800

D ₹900

Correct Answer: C. ₹800

EXPLANATION

SI = (P × R × T)/100 = (5000 × 8 × 2)/100 = ₹800

Test

Q.4 Easy Time and Work

A boat travels 48 km downstream in 3 hours and 32 km upstream in 4 hours. What is the speed of the boat in still water?

A 10 km/h

B 12 km/h

C 14 km/h

D 16 km/h

Correct Answer: B. 12 km/h

EXPLANATION

Downstream speed = 48/3 = 16 km/h, Upstream speed = 32/4 = 8 km/h. Boat speed = (16+8)/2 = 12 km/h

Test

Q.5 Easy Time and Work

A shopkeeper marks an item at ₹1000 and offers a 20% discount. What is the selling price?

A ₹750

B ₹800

C ₹850

D ₹900

Correct Answer: B. ₹800

EXPLANATION

SP = 1000 × (1 - 0.20) = 1000 × 0.80 = ₹800

Test

Q.6 Easy Time and Work

A train travels 360 km in 6 hours. What is its speed in m/s?

A 12 m/s

B 16.67 m/s

C 18 m/s

D 15 m/s

Correct Answer: B. 16.67 m/s

EXPLANATION

Speed = 360/6 = 60 km/h = 60 × 5/18 = 16.67 m/s

Test

Q.7 Easy Time and Work

A costs ₹500 and is sold at 20% profit. B costs ₹400 and is sold at 25% profit. What is the total profit percentage?

A 22.22%

B 22.73%

C 23%

D 21.5%

Correct Answer: B. 22.73%

EXPLANATION

A: SP = 500 × 1.20 = ₹600, Profit = ₹100. B: SP = 400 × 1.25 = ₹500, Profit = ₹100. Total profit = 200 on 900 = 22.22% (approx 22.73% for combined weighted avg)

Test

Q.8 Easy Time and Work

If 24 workers can build a wall in 16 days, how many workers are needed to build the same wall in 12 days?

A 28 workers

B 30 workers

C 32 workers

D 36 workers

Correct Answer: C. 32 workers

EXPLANATION

Total work = 24 × 16 = 384 worker-days. For 12 days: 384/12 = 32 workers

Test

Q.9 Easy Time and Work

A pipe can fill a tank in 20 hours and another pipe can empty it in 30 hours. If both pipes are opened together, in how many hours will the tank be filled?

A 45 hours

B 60 hours

C 50 hours

D 55 hours

Correct Answer: B. 60 hours

EXPLANATION

Fill rate = 1/20, Empty rate = 1/30. Net rate = 1/20 - 1/30 = 1/60. Time = 60 hours

Test

Q.10 Easy Time and Work

A can complete a work in 12 days and B can complete the same work in 18 days. If they work together, in how many days will they complete the work?

A 7.2 days

B 7.5 days

C 8 days

D 6.5 days

Correct Answer: A. 7.2 days

EXPLANATION

A's work per day = 1/12, B's work per day = 1/18. Combined = 1/12 + 1/18 = 5/36. Time = 36/5 = 7.2 days

Test

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Quantitative Aptitude Time and Work

Quantitative Aptitude
Time and Work