Mettl Quantitative Aptitude 4

Question 1

The ratio of boys to girls in a school is 5:4. If there are 360 students total, how many girls are there?

Accepted Answer

160

Answer

Girls = (4/9) × 360 = 160.

Question 2

A cone has a radius of 7 cm and a height of 24 cm. What is its slant height?

Accepted Answer

25 cm

Answer

Slant height = √(7² + 24²) = √(49 + 576) = √625 = 25 cm.

Question 3

If a number is increased by 25% and then decreased by 20%, what is the net percentage change?

Accepted Answer

0%

Answer

Net = 1.25 × 0.80 = 1.00, so there is no net change (0%).

Question 4

A can do a job in 10 days, B in 15 days. They work together for 4 days, then B leaves. How many more days does A need to finish?

Accepted Answer

2 days

Answer

Together for 4 days at rate 3/20 per day = 3/5 done; remaining 2/5 at A's rate (1/10) takes 4 more days.

Question 5

The compound interest on $5,000 at 10% per annum for 2 years, compounded annually, is:

Accepted Answer

$1,050

Answer

CI = 5000[(1.1)² − 1] = 5000 × 0.21 = $1,050.

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