A merchant bought goods for Rs. 2000 and sold them at a loss of 15%. At what price did he sell?

The correct answer is A: Rs. 1700. Selling Price = 2000 × (1 - 0.15) = 2000 × 0.85 = Rs. 1700

A boat can travel 120 km downstream in 4 hours. If current speed is 5 km/h, what is boat's speed in still water?

The correct answer is A: 25 km/h. Downstream speed = 120/4 = 30 km/h. Boat speed = 30 - 5 = 25 km/h

The LCM of 18, 24, and 36 is?

The correct answer is A: 72. 18 = 2 × 3^2, 24 = 2^3 × 3, 36 = 2^2 × 3^2. LCM = 2^3 × 3^2 = 8 × 9 = 72

A sum of money invested at 20% per annum compound interest becomes ₹2,88,000 in 2 years. If the same sum is invested at 10% per annum simple interest for 3 years, what will be the total amount?

The correct answer is A: ₹2,40,000. Step 1: Find principal using CI formula: 288000 = P(1.20)^2, so P = 288000/1.44 = ₹2,00,000. Step 2: Using same principal with SI at 10% for 3 years: SI = (200000 × 10 × 3)/100 = ₹60,000. Step 3: Total Amount = 200000 + 60000 = ₹2,60,000. This doesn't match options. Recalculating: 288000/1.44 = 200,

At 20% per annum compound interest, Rs. 10000 becomes how much in 2 years?

The correct answer is A: Rs. 14400. Amount = 10000 × (1.20)² = 10000 × 1.44 = Rs. 14400

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Quantitative Aptitude
Time and Work

Quantitative aptitude questions for competitive exams

45 Q 7 Topics Take Mock Test

Difficulty: All Easy Medium Hard 11–20 of 45

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 Medium Time and Work

A man bought a watch for ₹2000 and sold it at 15% loss. At what price did he sell it?

A ₹1600

B ₹1700

C ₹1800

D ₹1900

Correct Answer: B. ₹1700

EXPLANATION

SP = 2000 × (1 - 0.15) = 2000 × 0.85 = ₹1700

Test

Q.12 Medium Time and Work

A pipe can fill 1/3 of a tank in 4 hours. How long will it take to fill the entire tank?

A 10 hours

B 11 hours

C 12 hours

D 13 hours

Correct Answer: C. 12 hours

EXPLANATION

If 1/3 tank takes 4 hours, full tank takes 4 × 3 = 12 hours

Test

Q.13 Medium Time and Work

P invests ₹20,000 and Q invests ₹30,000 in a business. Profit after 1 year is ₹5000. What is Q's share?

A ₹2000

B ₹3000

C ₹2500

D ₹3500

Correct Answer: B. ₹3000

EXPLANATION

Profit ratio = 20000:30000 = 2:3. Q's share = 5000 × 3/5 = ₹3000

Test

Q.14 Medium Time and Work

A train 150 m long passes a pole in 6 seconds. What is the speed of the train in km/h?

A 80 km/h

B 85 km/h

C 90 km/h

D 95 km/h

Correct Answer: C. 90 km/h

EXPLANATION

Speed = 150/6 = 25 m/s = 25 × 18/5 = 90 km/h

Test

Q.15 Medium Time and Work

A merchant buys goods at ₹400 per unit and sells at ₹500 per unit. He gives a 10% discount on marked price. What is his marked price?

A ₹500

B ₹555.56

C ₹600

D ₹625

Correct Answer: B. ₹555.56

EXPLANATION

SP = 500, Discount = 10%, MP × 0.90 = 500, MP = 500/0.90 = ₹555.56

Test

Q.16 Medium Time and Work

A and B work together and complete a work in 10 days. A alone can do it in 15 days. In how many days can B alone do the work?

A 25 days

B 30 days

C 35 days

D 20 days

Correct Answer: B. 30 days

EXPLANATION

Combined rate = 1/10, A's rate = 1/15. B's rate = 1/10 - 1/15 = 1/30. B needs 30 days

Test

Q.17 Medium Time and Work

A mixture contains milk and water in ratio 5:3. If 8 liters of water is added, ratio becomes 5:4. Find the original quantity of milk.

A 40 liters

B 50 liters

C 60 liters

D 80 liters

Correct Answer: A. 40 liters

EXPLANATION

Let milk = 5x, water = 3x. After adding 8 liters water: 5x/(3x+8) = 5/4. 20x = 15x + 40. 5x = 40. x = 8. Milk = 40 liters.

Test

Q.18 Medium Time and Work

A clock gains 5 minutes every 12 hours. If it is set correct at 12 PM on Monday, what will it show at 12 PM on Tuesday?

A 12:10 PM

B 12:05 PM

C 12:15 PM

D 12:20 PM

Correct Answer: A. 12:10 PM

EXPLANATION

In 12 hours, clock gains 5 minutes. In 24 hours, it gains 10 minutes. So at 12 PM Tuesday, clock will show 12:10 PM.

Test

Q.19 Medium Time and Work

A lost 10% by selling an item for ₹900. If he wants 15% profit, what should be the selling price?

A ₹1150

B ₹1200

C ₹1250

D ₹1320

Correct Answer: A. ₹1150

EXPLANATION

SP = 900 is 90% of CP. So CP = 900/0.9 = 1000. For 15% profit, SP = 1000 × 1.15 = 1150.

Test

Q.20 Medium Time and Work

Two pipes fill a tank in 12 hours and 15 hours respectively. A drain empties it in 20 hours. If all three are opened, in how many hours is the tank filled?

A 7.5 hours

B 8 hours

C 9 hours

D 10 hours

Correct Answer: D. 10 hours

EXPLANATION

Rate = 1/12 + 1/15 - 1/20 = (5+4-3)/60 = 6/60 = 1/10. Time = 10 hours.

Test

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Quantitative Aptitude Time and Work

Quantitative Aptitude
Time and Work