Mettl Quantitative Aptitude Questions and Answers

Question 1

A shopkeeper sells an item for ₹540 at a 10% loss. To gain a 20% profit, at what price should the shopkeeper sell the item?

Accepted Answer

₹720

Answer

First, calculate the cost price (CP). Selling Price (SP) = ₹540, Loss = 10%. So, CP = SP / (1 - Loss%) = 540 / (1 - 0.10) = 540 / 0.90 = ₹600. Now, calculate the new selling price for a 20% profit. New SP = CP * (1 + Profit%) = 600 * (1 + 0.20) = 600 * 1.20 = ₹720.

Question 2

Two trains, one 150 meters long and the other 250 meters long, are running in opposite directions on parallel tracks. The speed of the first train is 40 km/hr and the second is 50 km/hr. How long will it take for the trains to completely cross each other?

Accepted Answer

16 seconds

Answer

The total distance to be covered is the sum of the lengths of both trains: 150m + 250m = 400m. Since they are moving in opposite directions, their relative speed is the sum of their individual speeds: 40 km/hr + 50 km/hr = 90 km/hr. Convert the relative speed to m/s: 90 * (5/18) = 25 m/s. Time = Distance / Speed = 400m / 25 m/s = 16 seconds.

Question 3

A can complete a piece of work in 20 days, and B can complete the same work in 30 days. If they start working together but A leaves after 8 days, in how many days will B complete the remaining work?

Accepted Answer

10 days

Answer

A's one-day work is 1/20. B's one-day work is 1/30. Their combined one-day work is (1/20) + (1/30) = (3+2)/60 = 5/60 = 1/12. In 8 days, they complete 8 * (1/12) = 8/12 = 2/3 of the work. The remaining work is 1 - 2/3 = 1/3. The time B will take to complete the remaining work is (1/3) / (1/30) = (1/3) * 30 = 10 days.

Question 4

A sum of money invested at compound interest amounts to ₹800 in 2 years and ₹840 in 3 years. What is the rate of interest per annum?

Accepted Answer

5%

Answer

The amount at the end of 2 years is ₹800, and at the end of 3 years is ₹840. The interest earned in the third year is ₹840 - ₹800 = ₹40. This interest is on the principal amount of ₹800 (the amount at the beginning of the third year). So, Rate = (Simple Interest * 100) / (Principal * Time) = (40 * 100) / (800 * 1) = 4000 / 800 = 5%.

Question 5

In a mixture of 60 litres, the ratio of milk to water is 2:1. If this ratio is to be changed to 1:2, what is the quantity of water that needs to be further added?

Accepted Answer

60 litres

Answer

Initial quantity of milk = (2/3) * 60 = 40 litres. Initial quantity of water = (1/3) * 60 = 20 litres. Let 'x' litres of water be added. The new ratio is 40 / (20 + x) = 1 / 2. Cross-multiplying gives 80 = 20 + x. Therefore, x = 60 litres.

Mettl Practice Test

Mettl Practice Test

Mettl Quantitative Aptitude Questions and Answers