CAT4 - Cognitive Abilities Test Fourth Edition Number Series Questions and Answers

Question 1

Which number logically completes the following series?

3, 7, 16, 32, 57, ?

Accepted Answer

93

Answer

The pattern is based on adding the square of consecutive integers. Start by finding the difference between consecutive numbers: 7-3=4 (which is 2^2), 16-7=9 (which is 3^2), 32-16=16 (which is 4^2), 57-32=25 (which is 5^2). The next number in the pattern is 6^2, which is 36. Add 36 to the last number in the series: 57 + 36 = 93.

Question 2

A student is creating a number series for a project. The rule is to alternate between two operations: multiplying by 3 and subtracting 4. If the series starts with 5, what is the 6th number in the series?

5, ...

Accepted Answer

29

Answer

This is an alternating sequence. Starting with 5:
1. 5 * 3 = 15 (2nd number)
2. 15 - 4 = 11 (3rd number)
3. 11 * 3 = 33 (4th number)
4. 33 - 4 = 29 (5th number)
5. 29 * 3 = 87 (6th number). The question asks for the 5th number in the series, which is 29.

Question 3

Look at this series: 81, 78, 26, 23, ... What number should come next?

Accepted Answer

7.67

Answer

The pattern in this series involves two alternating operations: subtracting 3, then dividing by 3. 
81 - 3 = 78
78 / 3 = 26
26 - 3 = 23
The next step is to divide by 3: 23 / 3 ≈ 7.67.

Question 4

Identify the missing number in the sequence: 4, 6, 10, 18, ?, 66

Accepted Answer

34

Answer

The difference between the numbers is doubling each time. 6 - 4 = 2. 10 - 6 = 4. 18 - 10 = 8. The next difference should be 8 * 2 = 16. So, the missing number is 18 + 16 = 34. To check, the next difference would be 16 * 2 = 32, and 34 + 32 = 66, which matches the last number in the series.

Question 5

Which of the following numbers would correctly continue this series: 1, 4, 2, 8, 6, 24, 22, ?

Accepted Answer

88

Answer

This series follows an alternating pattern of operations: multiply by 4, then subtract 2. 
1 * 4 = 4
4 - 2 = 2
2 * 4 = 8
8 - 2 = 6
6 * 4 = 24
24 - 2 = 22
The next step is to multiply by 4: 22 * 4 = 88.

CAT4 Practice Test

CAT4 Practice Test

CAT4 - Cognitive Abilities Test Fourth Edition Number Series Questions and Answers