Mettl Quantitative Aptitude and Reasoning 5

Question 1

In a group of 8 people, how many different committees of 3 can be formed?

Accepted Answer

56

Answer

C(8,3) = 8!/(3!×5!) = 56.

Question 2

A rectangular plot is 60 m long and 40 m wide. A path 2 m wide runs inside along its border. What is the area of the path?

Accepted Answer

376 m²

Answer

Outer area = 60×40 = 2400; inner area = 56×36 = 2016 (subtract 4 from each dimension for 2m path on both sides); path area = 2400−2016 = 384... recalc: inner = (60−4)×(40−4)=56×36=2016; 2400−2016=384.

Question 3

Three candidates A, B, and C received 45%, 35%, and 20% of votes respectively. If A received 18,000 votes more than C, what is the total number of votes?

Accepted Answer

80,000

Answer

A − C = 25% of total = 18,000 → total = 18,000/0.25 = 72,000.

Question 4

Six people are seated in a circle. In how many ways can they be arranged?

Accepted Answer

120

Answer

Circular permutations of n people = (n−1)! = 5! = 120.

Question 5

The compound interest on $8,000 at 10% per annum for 2 years, compounded annually, is:

Accepted Answer

$1,680

Answer

CI = 8000×[(1.1)²−1] = 8000×0.21 = $1,680.

Mettl Practice Test

Mettl Practice Test

Mettl Quantitative Aptitude and Reasoning 5