The population of a town was 50,000 last year. If it increased by 8% this year, what is the current population?

The correct answer is B: 54,000. Step 1: Population increase = 8% of 50,000 = 0.08 × 50,000 = 4,000. Step 2: Current population = 50,000 + 4,000 = 54,000. Therefore, option B is correct.

A goods train 400m long passes stationary pole in 20 seconds. Speed in km/h?

The correct answer is B: 72 km/h. Speed = 400/20 = 20 m/s = 20 × 18/5 = 72 km/h.

A, B, and C can complete a work in 6 days, 8 days, and 12 days respectively. A and B work for 2 days, then C joins them. How many more days will they take to complete the remaining work?

The correct answer is B: 2 days. A+B rate = 1/6 + 1/8 = 7/24. Work in 2 days = 14/24 = 7/12. Remaining = 5/12. All three rate = 1/6 + 1/8 + 1/12 = 9/24 = 3/8. Days = (5/12)/(3/8) = 40/36 ≈ 1.11, recalculating: remaining work done in 2 days

The HCF of two numbers is 12 and their LCM is 180. If one number is 36, find the other number.

The correct answer is A: 60. Using HCF × LCM = Product of two numbers. 12 × 180 = 36 × x. Therefore x = 2160/36 = 60

In a shop, the cost price of an item is Rs. 500. If it's sold at 35% profit, what is the selling price?

The correct answer is A: Rs. 675. SP = CP + Profit = 500 + (35% of 500) = 500 + 175 = Rs. 675

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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 11–20 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.11 Easy Time and Work

A person walks at 4 km/h for 2 hours, then at 5 km/h for 3 hours. What is the average speed?

A 4.4 km/h

B 4.5 km/h

C 4.6 km/h

D 4.8 km/h

Correct Answer: A. 4.4 km/h

EXPLANATION

Total distance = 4×2 + 5×3 = 8 + 15 = 23 km. Total time = 5 hours. Average speed = 23/5 = 4.6 km/h. Option C is correct, not A.

Test

Q.12 Easy Time and Work

A number when increased by 12% becomes 224. What is the original number?

A 180

B 190

C 200

D 210

Correct Answer: C. 200

EXPLANATION

Let original number = x. x × 1.12 = 224. x = 224/1.12 = 200.

Test

Q.13 Easy Time and Work

A shopkeeper buys goods at ₹800 and sells at ₹1000. What is the profit percentage?

A 20%

B 22.5%

C 25%

D 30%

Correct Answer: C. 25%

EXPLANATION

Profit = 1000 - 800 = ₹200. Profit% = (200/800) × 100 = 25%.

Test

Q.14 Easy Time and Work

A train of length 200m crosses a platform of length 400m in 30 seconds. What is the speed of the train?

A 20 m/s

B 25 m/s

C 30 m/s

D 35 m/s

Correct Answer: A. 20 m/s

EXPLANATION

Total distance = train length + platform length = 200 + 400 = 600m. Speed = 600/30 = 20 m/s.

Test

Q.15 Easy Time and Work

₹10,000 is invested at 10% per annum simple interest. What will be the amount after 3 years?

A ₹12,000

B ₹13,000

C ₹13,310

D ₹14,000

Correct Answer: B. ₹13,000

EXPLANATION

SI = (P × R × T)/100 = (10000 × 10 × 3)/100 = 3000. Amount = 10000 + 3000 = ₹13,000.

Test

Q.16 Easy Time and Work

A boat travels 60 km downstream in 3 hours and 60 km upstream in 4 hours. What is the speed of the boat in still water?

A 17.5 km/h

B 15 km/h

C 20 km/h

D 22.5 km/h

Correct Answer: A. 17.5 km/h

EXPLANATION

Downstream speed = 60/3 = 20 km/h. Upstream speed = 60/4 = 15 km/h. Speed of boat = (20+15)/2 = 35/2 = 17.5 km/h.

Test

Q.17 Easy Time and Work

Two workers A and B are paid ₹500 and ₹600 per day respectively. If A completes a job in 24 days and B completes it in 18 days, who is more cost-effective?

A A is more cost-effective

B B is more cost-effective

C Both are equally cost-effective

D Cannot be determined

Correct Answer: A. A is more cost-effective

EXPLANATION

Total cost for A = 500 × 24 = ₹12,000. Total cost for B = 600 × 18 = ₹10,800. B costs less, so B is more cost-effective.

Test

Q.18 Easy Time and Work

If a number is increased by 25%, and then decreased by 20%, what is the net change?

A 5% increase

B 2% decrease

C 1% increase

D No change

Correct Answer: A. 5% increase

EXPLANATION

Let original number = 100. After 25% increase = 125. After 20% decrease of 125 = 125 × 0.8 = 100. Wait, let me recalculate: 125 × (100-20)/100 = 125 × 80/100 = 100. Net change = 0. Actually answer is D (No change). Let me verify: 1.25 × 0.8 = 1. So net is no change. Correction: The answer should be D.

Test

Q.19 Easy Time and Work

A pipe can fill a tank in 15 hours. Another pipe can empty it in 20 hours. If both pipes are opened together, in how many hours will the tank be filled?

A 45 hours

B 50 hours

C 60 hours

D 75 hours

Correct Answer: C. 60 hours

EXPLANATION

Filling rate = 1/15 per hour. Emptying rate = 1/20 per hour. Net rate = 1/15 - 1/20 = (4-3)/60 = 1/60. Time = 60 hours.

Test

Q.20 Easy Time and Work

A and B together can complete a work in 12 days. A alone can complete it in 20 days. In how many days can B alone complete the work?

A 25 days

B 30 days

C 35 days

D 40 days

Correct Answer: B. 30 days

EXPLANATION

Work done by A in 1 day = 1/20. Work done by A+B in 1 day = 1/12. So B's work in 1 day = 1/12 - 1/20 = (5-3)/60 = 2/60 = 1/30. Therefore B takes 30 days.

Test

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Quantitative Aptitude Time and Work

Quantitative Aptitude
Time and Work