CAT4 - Cognitive Abilities Test Fourth Edition Number Series Questions and Answers 1 — Questions and Answers
Question 1: Which number logically completes the following series? 3, 7, 16, 32, 57, ?
- 81
- 93 (Correct answer)
- 78
- 99
Correct answer: 93
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, ...
- 15
- 11
- 33
- 29 (Correct answer)
Correct answer: 29
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?
- 20
- 19
- 7.67 (Correct answer)
- 21
Correct answer: 7.67
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
- 34 (Correct answer)
- 28
- 42
- 30
Correct answer: 34
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, ?
- 88 (Correct answer)
- 26
- 44
- 84
Correct answer: 88
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.
Question 6: A warehouse manager is tracking inventory. The number of boxes follows a specific pattern each day: 5, 8, 14, 26, 50. If the pattern continues, how many boxes will there be on the next day?
- 74
- 86
- 98 (Correct answer)
- 102
Correct answer: 98
The pattern is to double the previous number and then subtract an increasing amount. Let's analyze the steps: 8 = (5*2) - 2 14 = (8*2) - 2 26 = (14*2) - 2 50 = (26*2) - 2 Therefore, the next number is (50*2) - 2 = 100 - 2 = 98. An alternative way to see the pattern is that the difference between numbers doubles each time: 8-5=3, 14-8=6, 26-14=12, 50-26=24. The next difference will be 48, so 50+48=98.
CAT4 - Cognitive Abilities Test Fourth Edition Number Series Questions and Answers 1
Which number logically completes the following series?
3, 7, 16, 32, 57, ?