Mensa IQ Test Mensa IQ Numerical Reasoning and Arithmetic 1

Question 1

What is the next number in the sequence: 2, 4, 8, 16, 32, [?]?

Accepted Answer

64

Answer

Each term is multiplied by 2 (geometric sequence with ratio 2), so 32 × 2 = 64.

Question 2

Find the missing number: 3, 7, 13, 21, 31, [?]

Accepted Answer

43

Answer

The differences between terms are 4, 6, 8, 10, 12 — increasing by 2 each time; 31 + 12 = 43.

Question 3

A number grid: the value in each cell equals the product of its row number and column number. In a 4×4 grid, what is the sum of all numbers in row 4?

Accepted Answer

40

Answer

Row 4 values are 4×1, 4×2, 4×3, 4×4 = 4, 8, 12, 16; sum = 40.

Question 4

If a train travels at 90 km/h for 40 minutes and then 60 km/h for 20 minutes, what total distance does it cover?

Accepted Answer

80 km

Answer

90 × (40/60) = 60 km for the first leg; 60 × (20/60) = 20 km for the second leg; total = 80 km.

Question 5

What number should replace the question mark? 5 : 25 :: 7 : [?]

Accepted Answer

49

Answer

The relationship is x : x² (squaring); 7² = 49.

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