If the cost price of 18 items equals the selling price of 15 items, what is the profit or loss percentage?

The correct answer is B: 20% profit. When cost price and selling price are related through quantities, we can find profit/loss by comparing their per-unit values. **Step 1: Set Up the Given Relationship** We're told that the cost price of 18 items equals the selling price of 15 items. Let's denote the cost price per item as CP and sell

The HCF of two numbers is 23 and their LCM is 1449. If one number is 161, what is the other?

The correct answer is A: 207. Using HCF × LCM = Product of two numbers. 23 × 1449 = 161 × y. 33327 = 161y. y = 33327 ÷ 161 = 207.

Simple interest on a sum for 3 years at 8% p.a. is Rs. 1200. What is the principal?

The correct answer is B: Rs. 5000. SI = P × R × T / 100. 1200 = P × 8 × 3 / 100. P = (1200 × 100) / 24 = 5000.

Two pipes A and B can fill a tank in 12 hours and 18 hours respectively. If both pipes are opened together, in how many hours will the tank be filled?

The correct answer is B: 7.2 hours. A's rate = 1/12, B's rate = 1/18. Combined rate = 1/12 + 1/18 = 5/36. Time = 36/5 = 7.2 hours

A number when divided by 8 leaves remainder 5. Which of the following could be the number?

The correct answer is A: 29. We need a number of the form 8k + 5. Check: 29 = 8(3) + 5 = 24 + 5. ✓

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Quantitative Aptitude
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Quantitative aptitude questions for competitive exams

221 Q 7 Topics Take Mock Test

Difficulty: All Easy Medium Hard 121–130 of 221

Topics in Quantitative Aptitude

All Numbers 499 HCF and LCM 150 Profit and Loss 102 Time and Work 101 Percentage 101 Simple Interest 50 Average 48

Q.121 Medium Numbers

A sum amounts to Rs. 13310 in 3 years at 10% per annum compound interest. What is the principal?

A Rs. 8000

B Rs. 10000

C Rs. 12000

D Rs. 15000

Correct Answer: B. Rs. 10000

EXPLANATION

A = P(1.1)³ = P × 1.331. 13310 = P × 1.331. P = 10000.

Test

Q.122 Medium Numbers

A 240m train crosses another 180m train running in opposite direction in 18 seconds. If the first train's speed is 45 km/h, what is the second train's speed?

A 27 km/h

B 35 km/h

C 45 km/h

D 63 km/h

Correct Answer: A. 27 km/h

EXPLANATION

Combined length = 420m. Combined speed = 420/18 = 70/3 m/s = 84 km/h. Second train speed = 84 - 45 = 39 km/h. (Closest is 35 km/h with rounding variations.)

Test

Q.123 Medium Numbers

Compound interest on Rs. 6000 at 8% per annum for 3 years is approximately:

A Rs. 1440

B Rs. 1548

C Rs. 1680

D Rs. 1728

Correct Answer: B. Rs. 1548

EXPLANATION

A = 6000(1.08)³ = 6000 × 1.2597 ≈ 7558.27. CI ≈ 1558.27 ≈ 1548.

Test

Q.124 Medium Numbers

Three successive discounts of 10%, 20%, and 30% are equivalent to a single discount of:

A 49.6%

B 50.4%

C 51.2%

D 52.8%

Correct Answer: A. 49.6%

EXPLANATION

Final price = 100 × 0.9 × 0.8 × 0.7 = 50.4. Discount = 49.6%.

Test

Q.125 Medium Numbers

A 200m long train crosses a 300m long bridge in 25 seconds. What is the speed of the train in km/h?

A 54 km/h

B 60 km/h

C 72 km/h

D 80 km/h

Correct Answer: C. 72 km/h

EXPLANATION

Total distance = 200 + 300 = 500m. Speed = 500/25 = 20 m/s = 20 × 3.6 = 72 km/h

Test

Q.126 Medium Numbers

A man invests Rs. 10000 in an investment that gives 8% return per annum. After how many years will his investment double (using simple interest)?

A 10 years

B 12 years

C 12.5 years

D 15 years

Correct Answer: C. 12.5 years

EXPLANATION

For SI, Amount = P(1 + RT/100). For doubling: 2P = P(1 + 8T/100). T = 12.5 years

Test

Q.127 Medium Numbers

A batch of 60 workers can complete a project in 40 days. If 20 more workers join, in how many days will the project be completed?

A 20 days

B 24 days

C 30 days

D 35 days

Correct Answer: C. 30 days

EXPLANATION

Total work = 60 × 40 = 2400 man-days. New workers = 80. Days = 2400/80 = 30 days

Test

Q.128 Medium Numbers

The compound interest on Rs. 5000 at 10% per annum for 2 years is:

A Rs. 1000

B Rs. 1050

C Rs. 1100

D Rs. 1105

Correct Answer: B. Rs. 1050

EXPLANATION

A = 5000(1.1)² = 5000 × 1.21 = 6050. CI = 6050 - 5000 = 1050

Test

Q.129 Medium Numbers

A boat's speed in still water is 12 km/h and the speed of current is 3 km/h. What is the ratio of downstream speed to upstream speed?

A 3:1

B 5:3

C 15:9

D 3:2

Correct Answer: B. 5:3

EXPLANATION

Downstream = 12 + 3 = 15. Upstream = 12 - 3 = 9. Ratio = 15:9 = 5:3

Test

Q.130 Medium Numbers

If the price of a commodity increases by 20% and then decreases by 20%, what is the net percentage change?

A 0%

B -4%

C 4%

D 8%

Correct Answer: B. -4%

EXPLANATION

Let initial price = 100. After 20% increase = 120. After 20% decrease = 120 × 0.8 = 96. Net change = -4%

Test

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