Crossover Aptitude Numerical Reasoning: Number Sequences Questions and Answers

Question 1

What is the next number in the following sequence? 3, 7, 16, 35, 74, ...

Accepted Answer

153

Answer

The pattern is to multiply the previous number by 2 and then add an increasing integer (1, 2, 3, 4, ...). 3 * 2 + 1 = 7. 7 * 2 + 2 = 16. 16 * 2 + 3 = 35. 35 * 2 + 4 = 74. Therefore, the next number is 74 * 2 + 5 = 153.

Question 2

Identify the missing number in the sequence: 8, 12, __, 27, 37.5

Accepted Answer

18

Answer

This is a geometric sequence where each subsequent number is the previous number multiplied by 1.5. 8 * 1.5 = 12. 12 * 1.5 = 18. 18 * 1.5 = 27. 27 * 1.5 = 40.5 (Correction: The last number should be 40.5 for the pattern to hold, but with 37.5 the closest consistent pattern is x1.5). Let's re-evaluate based on the provided options. 8 * 1.5 = 12. 12 * 1.5 = 18. 18 * 1.5 = 27. 27 * 1.5 = 40.5. The number 37.5 in the sequence seems to be a typo, but the only logical step from 12 to 27 is multiplying by 1.5, which gives 18.

Question 3

Which number completes the sequence? 1, 1, 2, 3, 5, 8, 13, __

Accepted Answer

21

Answer

This is a Fibonacci sequence, where each number is the sum of the two preceding ones. 1 + 1 = 2. 1 + 2 = 3. 2 + 3 = 5. 3 + 5 = 8. 5 + 8 = 13. The next number is 8 + 13 = 21.

Question 4

A project's task completion rate follows the sequence: 2, 6, 14, 30, 62. What is the next number in this completion sequence?

Accepted Answer

126

Answer

The pattern is to multiply the previous number by 2 and then add 2 (or 2^(n+1) - 2). 2 * 2 + 2 = 6. 6 * 2 + 2 = 14. 14 * 2 + 2 = 30. 30 * 2 + 2 = 62. Therefore, the next number is 62 * 2 + 2 = 126.

Question 5

Find the next number in the alternating sequence: 3, 10, 8, 12, 13, 14, 18, __

Accepted Answer

16

Answer

This is an alternating sequence. There are two independent sub-sequences. The first is 3, 8, 13, 18 (add 5 each time). The second is 10, 12, 14 (add 2 each time). The next number belongs to the second sub-sequence, so it is 14 + 2 = 16.

Crossover Aptitude Test Practice Test

Crossover Aptitude Test Practice Test

Crossover Aptitude Numerical Reasoning: Number Sequences Questions and Answers