Mensa Quantitative Problem Solving Assessment 2 — Questions and Answers
Question 1: What number comes next in the sequence: 2, 6, 12, 20, 30, ?
- 40
- 42 (Correct answer)
- 44
- 36
Correct answer: 42
Differences increase by 2 each step (4,6,8,10,12), so 30 + 12 = 42.
Question 2: If 5 machines make 5 widgets in 5 minutes, how long do 100 machines take to make 100 widgets?
- 100 minutes
- 20 minutes
- 5 minutes (Correct answer)
- 1 minute
Correct answer: 5 minutes
Each machine makes one widget in 5 minutes, so 100 machines make 100 widgets in 5 minutes.
Question 3: A shirt costs $40 after a 20% discount. What was the original price?
- $48
- $50 (Correct answer)
- $52
- $60
Correct answer: $50
$40 is 80% of the original, so the original is 40 / 0.8 = $50.
Question 4: Which number is the odd one out: 8, 27, 64, 100, 125?
- 27
- 64
- 100 (Correct answer)
- 125
Correct answer: 100
All are perfect cubes (2³,3³,4³,5³) except 100, which is a perfect square.
Question 5: If the average of five numbers is 20, and four of them are 18, 22, 25, and 15, what is the fifth?
- 20 (Correct answer)
- 18
- 22
- 100
Correct answer: 20
The total must be 100; 18+22+25+15 = 80, so the fifth number is 20.
Question 6: A clock shows 3:15. What is the angle between the hour and minute hands?
- 0 degrees
- 7.5 degrees (Correct answer)
- 5 degrees
- 10 degrees
Correct answer: 7.5 degrees
The hour hand moves 7.5° past the 3 in 15 minutes while the minute hand sits exactly on the 3.
Question 7: What is 15% of 80, plus 25% of 40?
- 22 (Correct answer)
- 20
- 24
- 18
Correct answer: 22
15% of 80 is 12 and 25% of 40 is 10, totaling 22.
Mensa Quantitative Problem Solving Assessment 2
What number comes next in the sequence: 2, 6, 12, 20, 30, ?