CogAT Quantitative Number Puzzles Questions and Answers

Question 1

Which number should replace the question mark to make the equation true?

14 + 19 = ? + 8

Accepted Answer

25

Answer

The goal is to balance both sides of the equation. First, calculate the value on the left side: 14 + 19 = 33. To make the right side equal to 33, you must find a number that, when added to 8, results in 33. The calculation is 33 - 8 = 25. Therefore, 25 is the correct number to replace the question mark.

Question 2

Look at the two pairs of numbers: [8 → 4] [12 → 6]. Following the same rule, what number should complete the third pair: [18 → ?]

Accepted Answer

9

Answer

The rule for each pair of numbers is to divide the first number by 2 to get the second number. In the first pair, 8 ÷ 2 = 4. In the second pair, 12 ÷ 2 = 6. Applying this rule to the third pair, 18 ÷ 2 = 9.

Question 3

What number comes next in the following series?

5, 11, 17, 23, ?

Accepted Answer

29

Answer

The pattern in this series is to add 6 to the previous number to get the next number. 5 + 6 = 11; 11 + 6 = 17; 17 + 6 = 23. Therefore, the next number is 23 + 6 = 29.

Question 4

A scenario is presented where you must balance two sides of a scale. On one side, you have weights of 7 and 16. On the other side, you have a weight of 9 and need to add one more. Which of the following weights should you add to balance the scale?

Accepted Answer

14

Answer

This is a number puzzle presented as a scenario. The total weight on the first side is 7 + 16 = 23. To balance the scale, the total weight on the second side must also be 23. Since one weight is 9, the missing weight is 23 - 9 = 14.

Question 5

Which of the following number pairs follows the same rule as the first two? [6 → 36] [8 → 64]

Accepted Answer

[9 → 81]

Answer

The rule demonstrated in the first two pairs is that the second number is the square of the first number (the number multiplied by itself). 6 x 6 = 36, and 8 x 8 = 64. Following this rule, 9 x 9 = 81.

CogAT Practice Test

CogAT Practice Test

CogAT Quantitative Number Puzzles Questions and Answers