Mensa IQ Test Mensa IQ Numerical Reasoning and Arithmetic 2

Question 1

Find the missing value in the sequence: 100, 91, 83, 76, 70, [?]

Accepted Answer

65

Answer

The differences are −9, −8, −7, −6, −5; the next difference is −5, so 70 − 5 = 65.

Question 2

In a number grid, row values follow: Row 1: 1, 4, 9. Row 2: 4, 16, 36. Row 3: 9, 36, [?].

Accepted Answer

81

Answer

Each cell = (row × column)²; cell (3,3) = (3×3)² = 81. Alternatively, each cell = row² × col².

Question 3

A rectangle has a perimeter of 54 cm. Its length is twice its width. What is its area?

Accepted Answer

162 cm²

Answer

Let width = w; length = 2w. Perimeter: 2(w+2w) = 6w = 54, so w = 9; length = 18. Area = 9×18 = 162 cm².

Question 4

What replaces [?]: 2, 6, 18, 54, [?], 486?

Accepted Answer

162

Answer

Each term is multiplied by 3; 54 × 3 = 162.

Question 5

If 30% of a number is 45, what is 70% of that number?

Accepted Answer

105

Answer

30% = 45, so the whole number = 150. 70% of 150 = 105.

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