Mensa Quantitative Problem Solving Assessment 2

Question 1

What number comes next in the sequence: 2, 6, 12, 20, 30, ?

Accepted Answer

42

Answer

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?

Accepted Answer

5 minutes

Answer

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?

Accepted Answer

$50

Answer

$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?

Accepted Answer

100

Answer

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?

Accepted Answer

20

Answer

The total must be 100; 18+22+25+15 = 80, so the fifth number is 20.

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