Mensa Quantitative Problem Solving Assessment 3 — Questions and Answers
Question 1: What comes next: 1, 1, 2, 3, 5, 8, ?
- 11
- 12
- 13 (Correct answer)
- 15
Correct answer: 13
This is the Fibonacci sequence, so 5 + 8 = 13.
Question 2: A train travels 60 miles in 45 minutes. What is its speed in miles per hour?
- 75 mph
- 80 mph (Correct answer)
- 90 mph
- 60 mph
Correct answer: 80 mph
45 minutes is 0.75 hours, so 60 / 0.75 = 80 mph.
Question 3: If x + y = 10 and x - y = 4, what is x?
- 3
- 5
- 7 (Correct answer)
- 8
Correct answer: 7
Adding the equations gives 2x = 14, so x = 7.
Question 4: How many distinct ways can you arrange the letters in the word 'TOOT'?
- 6 (Correct answer)
- 12
- 24
- 4
Correct answer: 6
With two T's and two O's, arrangements equal 4! / (2! × 2!) = 6.
Question 5: A square has an area of 144. What is its perimeter?
- 36
- 48 (Correct answer)
- 24
- 60
Correct answer: 48
The side is √144 = 12, so the perimeter is 4 × 12 = 48.
Question 6: If 3 cats catch 3 mice in 3 minutes, how many cats catch 100 mice in 100 minutes?
- 100 cats
- 33 cats
- 3 cats (Correct answer)
- 10 cats
Correct answer: 3 cats
One cat catches one mouse in 3 minutes, so in 100 minutes 3 cats catch about 100 mice.
Question 7: What is the missing number: 4, 9, 16, 25, ?, 49?
- 30
- 36 (Correct answer)
- 40
- 42
Correct answer: 36
These are perfect squares (2² through 7²), so the missing one is 6² = 36.
Mensa Quantitative Problem Solving Assessment 3
What comes next: 1, 1, 2, 3, 5, 8, ?