Mensa IQ Test Mensa IQ Numerical Reasoning and Arithmetic 5

Question 1

What is the missing number in the matrix? [3, 6, 9] / [5, 10, 15] / [7, 14, ?]

Accepted Answer

21

Answer

Each row multiplies the first element by 1, 2, and 3; 7×3 = 21. Also, column 3 = column 2 × 1.5: 9, 15, 21.

Question 2

A geometric sequence has first term 3 and common ratio 4. What is the 5th term?

Accepted Answer

768

Answer

Terms: 3, 12, 48, 192, 768; the 5th term = 3 × 4⁴ = 3 × 256 = 768.

Question 3

The sum of two numbers is 84 and their difference is 20. What is the larger number?

Accepted Answer

52

Answer

Let the numbers be a and b where a > b. a+b=84 and a−b=20; adding: 2a=104, a=52.

Question 4

A numerical sequence: 729, 243, 81, 27, [?]

Accepted Answer

9

Answer

Each term is divided by 3 (geometric sequence with ratio 1/3); 27/3 = 9.

Question 5

How many minutes are there from 9:45 AM to 2:15 PM?

Accepted Answer

270

Answer

9:45 AM to 2:15 PM = 4 hours and 30 minutes = 270 minutes.

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