Mettl Quantitative Aptitude 2

Question 1

A train travels 360 km in 4 hours. If it increases its speed by 20%, how long will it take to travel the same distance?

Accepted Answer

3 hours 20 minutes

Answer

Original speed = 360/4 = 90 km/h. New speed = 90 × 1.20 = 108 km/h. Time = 360/108 = 3.33 hours = 3 hours 20 minutes.

Question 2

The ratio of boys to girls in a class is 3:2. If there are 30 students in total, how many are girls?

Accepted Answer

12

Answer

Total ratio parts = 3+2 = 5. Girls = (2/5) × 30 = 12.

Question 3

What is the compound interest on ₹5000 at 10% per annum for 2 years?

Accepted Answer

₹1050

Answer

CI = P(1+r)^t - P = 5000(1.1)^2 - 5000 = 5000(1.21) - 5000 = 6050 - 5000 = ₹1050.

Question 4

If 8 men can complete a piece of work in 20 days, how many days will 10 men take to complete the same work?

Accepted Answer

16 days

Answer

Total work = 8 × 20 = 160 man-days. Days for 10 men = 160/10 = 16 days.

Question 5

A shopkeeper marks up his goods by 40% and then offers a 20% discount. What is his net profit percentage?

Accepted Answer

12%

Answer

Let CP = 100. MP = 140. SP = 140 × 0.80 = 112. Profit% = (112-100)/100 × 100 = 12%.

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