A sum of money at simple interest becomes double of itself in 10 years. At what rate per annum is the interest charged?

The correct answer is B: 10% p.a.. If amount = 2P, then SI = P. Using P = (P × R × 10)/100; 100 = 10R; R = 10% p.a.

A book's price increases by 12% one month and decreases by 10% the next month. If the original price was ₹500, what is the final price?

The correct answer is B: ₹504. Step 1: After 12% increase: Price = 500 × (1 + 0.12) = 500 × 1.12 = ₹560. Step 2: After 10% decrease: Price = 560 × (1 - 0.10) = 560 × 0.90 = ₹504. Therefore, option B is correct.

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?

The correct answer is A: 7.2 days. 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

A merchant sold two items for ₹2,000 each. On one item he made 25% profit and on the other he made 25% loss. What is his overall profit or loss percentage?

The correct answer is B: 6.25% loss. Step 1: Find the Cost Price of the first item (25% profit) If selling price is ₹2,000 with 25% profit, then SP = CP × 1.25 $$2000 = CP_1 \times 1.25$$ $$CP_1 = \frac{2000}{1.25} = \frac{2000}{\frac{5}{4}} = 2000 \times \frac{4}{5} = 1600$$ Step 2: Find the Cost Price of the second item (25% loss) If

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?

The correct answer is A: A is more cost-effective. 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.

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Quantitative Aptitude

Quantitative aptitude questions for competitive exams

428 Q 7 Topics Take Mock Test

Difficulty: All Easy Medium Hard 171–180 of 428

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.171 Easy Numbers

A train travels 480 km at a speed of 60 km/h. If it increases its speed by 20%, how much time will it save?

A 1 hour

B 1.5 hours

C 2 hours

D 2.5 hours

Correct Answer: A. 1 hour

EXPLANATION

Original time = 480/60 = 8 hours. New speed = 72 km/h. New time = 480/72 = 6.67 hours. Time saved = 8 - 6.67 = 1.33 ≈ 1 hour (approximately 1 hour 20 minutes).

Test

Q.172 Easy Numbers

If a number is increased by 40% and then decreased by 30%, the net change in the number is:

A 10% increase

B 2% decrease

C 2% increase

D No change

Correct Answer: B. 2% decrease

EXPLANATION

When a number undergoes multiple percentage changes, we must apply each change sequentially to find the net effect.

Step 1: Apply the 40% Increase

Starting with an original number, a 40% increase multiplies it by 1.40.

\text{After increase} = x \times 1.40 = 1.40x

Step 2: Apply the 30% Decrease

A 30% decrease means we retain 70% of the value, so we multiply by 0.70.

\text{After decrease} = 1.40x \times 0.70 = 0.98x

Step 3: Calculate Net Change

The final value is 0.98x, which is 98% of the original value x.

\text{Net change} = 0.98x - x = -0.02x = -2\%

The net change is a 2% decrease. Answer: (B)

Test

Q.173 Easy Numbers

A shopkeeper offers a 30% discount on marked price. If the marked price is Rs. 1000, what is the selling price?

A Rs. 600

B Rs. 700

C Rs. 800

D Rs. 900

Correct Answer: B. Rs. 700

EXPLANATION

Discount = 30% of 1000 = 300. Selling price = 1000 - 300 = Rs. 700

Test

Q.174 Easy Numbers

If 25% of a number is 80, what is 60% of that number?

A 192

B 240

C 320

D 160

Correct Answer: A. 192

EXPLANATION

If 25% = 80, then number = 320. 60% of 320 = 0.6 × 320 = 192

Test

Q.175 Easy Numbers

Rs. 5000 is invested at 12% per annum simple interest. What will be the amount after 3 years?

A Rs. 6500

B Rs. 6800

C Rs. 6200

D Rs. 7000

Correct Answer: B. Rs. 6800

EXPLANATION

SI = (5000 × 12 × 3)/100 = 1800. Amount = 5000 + 1800 = Rs. 6800

Test

Q.176 Easy Numbers

A boat travels downstream at 12 km/h and upstream at 8 km/h. What is the speed of the current?

A 1 km/h

B 2 km/h

C 3 km/h

D 4 km/h

Correct Answer: B. 2 km/h

EXPLANATION

Speed of current = (Downstream speed - Upstream speed)/2 = (12 - 8)/2 = 2 km/h

Test

Q.177 Easy Numbers

A train travels at 60 km/h. How long will it take to cover 300 km?

A 4 hours

B 5 hours

C 6 hours

D 3 hours

Correct Answer: B. 5 hours

EXPLANATION

Time = Distance/Speed = 300/60 = 5 hours

Test

Q.178 Easy Numbers

Pipe A fills a tank in 15 hours. Pipe B fills it in 10 hours. If both pipes are open, in how much time will the tank be filled?

A 5 hours

B 6 hours

C 7.5 hours

D 8 hours

Correct Answer: B. 6 hours

EXPLANATION

Combined rate = 1/15 + 1/10 = 2/30 + 3/30 = 5/30 = 1/6. Time = 6 hours

Test

Q.179 Easy Numbers

A can complete a task in 20 days. B can complete it in 30 days. If they work together, how many days will it take?

A 10 days

B 12 days

C 15 days

D 8 days

Correct Answer: B. 12 days

EXPLANATION

A's work rate = 1/20, B's work rate = 1/30. Combined rate = 1/20 + 1/30 = 5/60 = 1/12. Time = 12 days

Test

Q.180 Easy Numbers

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

A Rs. 675

B Rs. 650

C Rs. 700

D Rs. 625

Correct Answer: A. Rs. 675

EXPLANATION

SP = CP + Profit = 500 + (35% of 500) = 500 + 175 = Rs. 675

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