Mensa IQ Test Mensa IQ Numerical Reasoning and Arithmetic 7

Question 1

A sequence: 6, 11, 21, 41, 81, [?]

Accepted Answer

161

Answer

Each term ≈ 2×previous − 1: 2×6−1=11, 2×11−1=21, 2×21−1=41, 2×41−1=81, 2×81−1=161.

Question 2

A missing-number table: Row 1: [2, 4, 8]. Row 2: [3, 9, 27]. Row 3: [4, 16, ?]. What fills the missing cell?

Accepted Answer

64

Answer

Each row follows the pattern n, n², n³ for the base n in column 1; row 3 base=4, so column 3 = 4³ = 64.

Question 3

What percentage of 360 is 90?

Accepted Answer

25%

Answer

90/360 × 100 = 25%.

Question 4

A sequence: 0.5, 1.5, 4.5, 13.5, [?]

Accepted Answer

40.5

Answer

Each term is multiplied by 3; 13.5 × 3 = 40.5.

Question 5

Two numbers are in the ratio 3:4 and their product is 192. What is the larger number?

Accepted Answer

16

Answer

Let numbers be 3k and 4k; product = 12k² = 192; k² = 16; k = 4; larger number = 4×4 = 16.

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