A boat takes 3 hours to travel 72 km downstream and 6 hours to travel the same distance upstream. What is the speed of the current?

The correct answer is B: 6 km/h. Downstream speed = 72/3 = 24 km/h. Upstream speed = 72/6 = 12 km/h. Current = (24-12)/2 = 6 km/h

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?

The correct answer is B: 30 days. Combined rate = 1/10, A's rate = 1/15. B's rate = 1/10 - 1/15 = 1/30. B needs 30 days

A man invests Rs. 8000 at 12% p.a. simple interest for 18 months. What amount does he receive?

The correct answer is A: Rs. 9440. SI = (8000 × 12 × 1.5)/100 = 1440. Amount = 8000 + 1440 = Rs. 9440

The sum of three consecutive integers is 54. If the smallest of these integers is multiplied by 3 and then 5 is added, what is the result?

The correct answer is A: 56. Let three consecutive integers be n, n+1, n+2. Sum: n + (n+1) + (n+2) = 54, so 3n + 3 = 54, 3n = 51, n = 17. The smallest number is 17. Required result: 3(17) + 5 = 51 + 5 = 56.

What is the digital root of 9876?

The correct answer is D: 3. Digital root = 9 + 8 + 7 + 6 = 30 → 3 + 0 = 3. Alternatively, since the sum is divisible by 9, the digital root is 9. Wait: 9+8+7+6 = 30, 3+0 = 3. So digital root is 3.

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Quantitative Aptitude

Quantitative aptitude questions for competitive exams

428 Q 7 Topics Take Mock Test

Difficulty: All Easy Medium Hard 391–400 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.391 Easy Profit and Loss

If a vendor sells bananas at a loss of 15% and the cost price is ₹500 per kg, at what price does he sell per kg?

A ₹415

B ₹425

C ₹420

D ₹435

Correct Answer: B. ₹425

EXPLANATION

Step 1: Loss = 15% of CP = 15% of 500 = ₹75.

Step 2: Selling Price = CP - Loss = 500 - 75 = ₹425 per kg.

So option B is correct.

Test

Q.392 Easy Profit and Loss

A merchant buys a shirt for ₹240 and sells it for ₹312. What is the profit percentage?

A 25%

B 30%

C 32%

D 28%

Correct Answer: B. 30%

EXPLANATION

Step 1: Profit = Selling Price - Cost Price = 312 - 240 = ₹72.

Step 2: Profit% = (Profit/CP) × 100 = (72/240) × 100 = 30%.

So option B is correct.

Test

Q.393 Easy Percentage Percentage Decrease

A factory reduces its production by 18% due to lockdown. If the original production was 5,000 units per day, how many units are produced now?

A 4,000 units

B 4,050 units

C 4,100 units

D 4,150 units

Correct Answer: C. 4,100 units

EXPLANATION

Step 1: Reduction in production = 18% of 5,000 = 0.18 × 5,000 = 900 units.

Step 2: Current production = 5,000 - 900 = 4,100 units per day.

Therefore, option C is correct.

Test

Q.394 Easy Percentage Percentage Application

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

A 53,500

B 54,000

C 54,500

D 55,000

Correct Answer: B. 54,000

EXPLANATION

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.

Test

Q.395 Easy Percentage Profit and Cost Price

A shopkeeper buys an item for ₹250 and wants to earn a profit of 20%. At what price should the item be sold?

A ₹295

B ₹300

C ₹310

D ₹315

Correct Answer: B. ₹300

EXPLANATION

Step 1: Profit = 20% of ₹250 = 0.20 × 250 = ₹50.

Step 2: Selling Price = Cost Price + Profit = 250 + 50 = ₹300.

Therefore, option B is correct.

Test

Q.396 Easy Percentage Percentage Calculation

A student scored 72 marks out of 120 in an exam. What is the percentage of marks obtained?

A 58%

B 60%

C 62%

D 65%

Correct Answer: B. 60%

EXPLANATION

Step 1: Percentage = (Marks obtained/Total marks) × 100 = (72/120) × 100.

Step 2: = 0.6 × 100 = 60%.

Therefore, option B is correct.

Test

Q.397 Easy Percentage Percentage Increase

If the price of milk increases from ₹40 per liter to ₹50 per liter, what is the percentage increase?

A 20%

B 22.5%

C 25%

D 27.5%

Correct Answer: C. 25%

EXPLANATION

Step 1: Increase in price = ₹50 - ₹40 = ₹10.

Step 2: Percentage increase = (Increase/Original Price) × 100 = (10/40) × 100 = 25%.

Therefore, option C is correct.

Test

Q.398 Easy Percentage Discount and Marked Price

A shirt marked at ₹800 is sold at a discount of 15%. What is the selling price?

A ₹680

B ₹720

C ₹760

D ₹740

Correct Answer: A. ₹680

EXPLANATION

Step 1: Discount = 15% of ₹800 = 0.15 × 800 = ₹120.

Step 2: Selling Price = Marked Price - Discount = 800 - 120 = ₹680.

Therefore, option A is correct.

Test

Q.399 Easy Compound Interest

A sum of money doubles itself at 10% per annum compound interest. In how many years will it double?

A 7.2 years

B 7.5 years

C 8 years

D 6.5 years

Correct Answer: A. 7.2 years

EXPLANATION

Step 1: Use formula 2P = P(1.10)^n where 2P is the doubled amount.

Step 2: Divide by P to get 2 = (1.10)^n.

Step 3: Taking log: n = log(2)/log(1.10) = 0.301/0.0414 ≈ 7.2 years.

Test

Q.400 Easy Compound Interest

Raj invested ₹12,000 at 8% per annum compound interest. What will be the amount after 2 years?

A ₹13,996.80

B ₹13,872.00

C ₹14,112.00

D ₹13,920.00

Correct Answer: A. ₹13,996.80

EXPLANATION

Step 1: Use compound interest formula A = P(1 + r/100)^n.

Step 2: A = 12000(1 + 8/100)^2 = 12000(1.08)^2 = 12000 × 1.1664 = 13,996.80.

Step 3: The amount after 2 years is ₹13,996.80.

Test

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