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?

The correct answer is A: 1 hour. 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).

What is the greatest number that divides 110, 165, and 220 exactly?

The correct answer is D: 55. 110 = 2 × 5 × 11, 165 = 3 × 5 × 11, 220 = 2² × 5 × 11. Common factors: 5 × 11 = 55.

A vendor buys oranges at Rs. 40 per dozen and sells at 5 per rupee. What is his loss percentage?

The correct answer is B: 33.33%. CP per unit = 40/12 = 10/3. SP per unit = 1/5. Loss = (10/3 - 1/5)/(10/3) × 100 = 33.33%

A merchant borrowed ₹25,000 at 10% simple interest. He lent the entire amount to another person at 12% simple interest. After 5 years, what is his gain?

The correct answer is A: ₹5,000. Step 1: Interest paid by merchant = (25,000 × 10 × 5) / 100 = ₹12,500. Step 2: Interest earned by merchant = (25,000 × 12 × 5) / 100 = ₹15,000. Step 3: Gain = 15,000 - 12,500 = ₹2,500. This doesn't match options. Rechecking: If he gains on both principal positions, gain = difference in rates × princ

Find the number of divisors of 360.

The correct answer is B: 24. 360 = 2³×3²×5¹. Number of divisors = (3+1)(2+1)(1+1) = 4×3×2 = 24.

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Quantitative aptitude questions for competitive exams

196 Q 7 Topics Take Mock Test

Difficulty: All Easy Medium Hard 81–90 of 196

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.81 Easy Numbers

A number is increased by 30%, then decreased by 20%. Net change is what percent?

A 4%

B 10%

C 8%

D 12%

Correct Answer: A. 4%

EXPLANATION

Let number = 100. After +30% = 130. After -20% of 130 = 130 × 0.8 = 104. Net increase = 4%

Test

Q.82 Easy Numbers

A boat travels 48 km downstream in 3 hours and 32 km upstream in 4 hours. What is the speed of current?

A 2 km/h

B 3 km/h

C 4 km/h

D 5 km/h

Correct Answer: A. 2 km/h

EXPLANATION

Downstream speed = 48/3 = 16 km/h. Upstream speed = 32/4 = 8 km/h. Current = (16-8)/2 = 2 km/h

Test

Q.83 Easy Numbers

A sum becomes Rs. 14400 after 2 years at 20% p.a. simple interest. What is the principal?

A Rs. 10000

B Rs. 10500

C Rs. 11000

D Rs. 12000

Correct Answer: A. Rs. 10000

EXPLANATION

SI = P × R × T / 100 = P × 20 × 2 / 100 = 0.4P. Amount = P + 0.4P = 1.4P = 14400. P = 10000

Test

Q.84 Easy Numbers

Worker A completes a job in 12 days. Worker B completes the same job in 15 days. If they work together, in how many days will they complete it?

A 6 days

B 6.67 days

C 7.5 days

D 8 days

Correct Answer: B. 6.67 days

EXPLANATION

Combined rate = 1/12 + 1/15 = (5+4)/60 = 9/60 = 3/20. Time = 20/3 = 6.67 days

Test

Q.85 Easy Numbers

A shopkeeper buys an item for Rs. 400 and marks it 50% above cost price. He gives a discount of 20% on marked price. What is his profit percentage?

A 20%

B 25%

C 30%

D 35%

Correct Answer: A. 20%

EXPLANATION

MP = 400 × 1.5 = Rs. 600. SP = 600 × 0.8 = Rs. 480. Profit = (480-400)/400 × 100 = 20%

Test

Q.86 Easy Numbers

The ratio of boys to girls in a class is 3:2. If there are 15 boys, how many girls are there?

A 8

B 10

C 12

D 14

Correct Answer: B. 10

EXPLANATION

If boys:girls = 3:2 and boys = 15, then girls = (2/3) × 15 = 10

Test

Q.87 Easy Numbers

Two trains start from the same station at the same time. Train A travels at 60 km/h and Train B at 80 km/h in the same direction. After 3 hours, what will be the distance between them?

A 40 km

B 50 km

C 60 km

D 70 km

Correct Answer: C. 60 km

EXPLANATION

Relative speed = 80 - 60 = 20 km/h. Distance = 20 × 3 = 60 km

Test

Q.88 Easy Numbers

A merchant buys goods for Rs. 8000 and sells them at a loss of 15%. What is the selling price?

A Rs. 6800

B Rs. 6900

C Rs. 7000

D Rs. 7200

Correct Answer: A. Rs. 6800

EXPLANATION

SP = CP × (1 - loss%) = 8000 × 0.85 = Rs. 6800

Test

Q.89 Easy Numbers

Worker A completes a job in 15 days. Worker B completes the same job in 20 days. If they work together, how many days will it take?

A 6.5 days

B 8 days

C 8.57 days

D 10 days

Correct Answer: C. 8.57 days

EXPLANATION

Combined rate = 1/15 + 1/20 = 7/60. Time = 60/7 ≈ 8.57 days

Test

Q.90 Easy Numbers

A train crosses a pole in 8 seconds. If the length of the train is 160m, what is its speed in km/h?

A 60 km/h

B 70 km/h

C 72 km/h

D 80 km/h

Correct Answer: C. 72 km/h

EXPLANATION

Speed = Distance/Time = 160/8 = 20 m/s = 20 × 3.6 = 72 km/h

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