Mettl Quantitative Aptitude and Reasoning 5 — Questions and Answers
Question 1: In a group of 8 people, how many different committees of 3 can be formed?
- 24
- 42
- 56 (Correct answer)
- 112
Correct answer: 56
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?
- 376 m² (Correct answer)
- 384 m²
- 392 m²
- 400 m²
Correct answer: 376 m²
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?
- 60,000
- 72,000
- 80,000 (Correct answer)
- 90,000
Correct answer: 80,000
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?
- 720
- 360
- 120 (Correct answer)
- 60
Correct answer: 120
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:
- $1,600
- $1,680 (Correct answer)
- $1,740
- $1,800
Correct answer: $1,680
CI = 8000×[(1.1)²−1] = 8000×0.21 = $1,680.
Question 6: A is 3 years older than B, and B is twice as old as C. If C is 10 years old, what is A's age?
- 20
- 21
- 22
- 23 (Correct answer)
Correct answer: 23
C = 10, B = 20, A = 20+3 = 23.
Question 7: Look at the pattern: 2, 6, 12, 20, 30, __. What is the next number?
- 40
- 42 (Correct answer)
- 44
- 48
Correct answer: 42
Terms are n(n+1) for n=1,2,3…: 1×2, 2×3, 3×4, 4×5, 5×6, so next is 6×7 = 42.
Mettl Quantitative Aptitude and Reasoning 5
In a group of 8 people, how many different committees of 3 can be formed?