Mensa Quantitative Problem Solving Assessment 4

Question 1

A bat and a ball cost $1.10 together; the bat costs $1 more than the ball. How much is the ball?

Accepted Answer

$0.05

Answer

If the ball is $0.05, the bat is $1.05, totaling $1.10.

Question 2

What comes next: 2, 4, 8, 16, 32, ?

Accepted Answer

64

Answer

Each term doubles the previous one, so 32 × 2 = 64.

Question 3

If a number doubled and then increased by 6 equals 26, what is the number?

Accepted Answer

10

Answer

2n + 6 = 26 gives 2n = 20, so n = 10.

Question 4

A jar has 3 red, 4 blue, and 5 green marbles. What is the probability of drawing a blue one?

Accepted Answer

1/3

Answer

There are 4 blue out of 12 total, which simplifies to 1/3.

Question 5

What is the sum of the first 10 positive integers?

Accepted Answer

55

Answer

Using n(n+1)/2 = 10 × 11 / 2 = 55.

Mensa Practice Test