Mensa IQ Test Mensa IQ Numerical Reasoning and Arithmetic 4

Question 1

What number comes next: 5, 10, 20, 35, 55, [?]?

Accepted Answer

80

Answer

Differences are 5, 10, 15, 20, 25 (arithmetic sequence with +5 each time); 55 + 25 = 80.

Question 2

A missing-number grid: [8, 4, 2] and [12, 6, 3] and [20, 10, ?]. What is the missing value?

Accepted Answer

5

Answer

Each row is halved at each step (8→4→2; 12→6→3; 20→10→5), so the missing value is 5.

Question 3

If 5 cats catch 5 mice in 5 minutes, how many minutes will it take 100 cats to catch 100 mice?

Accepted Answer

5

Answer

Each cat catches 1 mouse in 5 minutes; 100 cats each catch 1 mouse → 100 mice in 5 minutes.

Question 4

What replaces [?] in the series: 2, 5, 11, 23, 47, [?]?

Accepted Answer

95

Answer

Each term = 2 × previous + 1: 2×2+1=5, 2×5+1=11, 2×11+1=23, 2×23+1=47, 2×47+1=95.

Question 5

A school has 600 students. 40% play sports, 35% study music, and 15% do both. How many students do neither?

Accepted Answer

240

Answer

Sports OR Music = 40+35−15 = 60%; neither = 40%; 40% of 600 = 240.

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