Mensa IQ Test Numerical Reasoning 3

Question 1

What is the missing value? 2, 5, 11, 23, 47, ?

Accepted Answer

95

Answer

Each term is doubled and then 1 is added: 2×2+1=5, 5×2+1=11, 11×2+1=23, 23×2+1=47, 47×2+1=95.

Question 2

In a class of 30 students, 60% passed mathematics and 70% passed science. What is the minimum number of students who passed both subjects?

Accepted Answer

9

Answer

Minimum overlap = (60% + 70%) - 100% = 30% of 30 = 9 students.

Question 3

What number should replace the question mark? 7 : 49 :: 9 : ?

Accepted Answer

81

Answer

7 squared is 49, so 9 squared is 81.

Question 4

A tank fills in 6 hours with pipe A alone and in 4 hours with pipe B alone. How long will both pipes together take to fill the tank?

Accepted Answer

2 hours 24 minutes

Answer

Combined rate = 1/6 + 1/4 = 5/12 per hour. Time = 12/5 = 2.4 hours = 2 hours 24 minutes.

Question 5

If the pattern continues, what is the 8th term? 2, 4, 8, 16, 32, ...

Accepted Answer

256

Answer

This geometric sequence doubles each time. The 8th term is 2^8 = 256.

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