IBEW Aptitude Test Number Sequences and Patterns Questions and Answers

Question 1

An electrician is installing light fixtures in a hallway. The fixtures are placed at the following distances from the start of the hallway (in feet): 4, 11, 18, 25. If this pattern continues, what is the distance of the next fixture?

Accepted Answer

32 feet

Answer

This is an arithmetic sequence. The distance between each fixture is constant. 11 - 4 = 7; 18 - 11 = 7; 25 - 18 = 7. The pattern is to add 7 feet for each subsequent fixture. Therefore, the next fixture will be at 25 + 7 = 32 feet.

Question 2

A motor's speed increases in a specific pattern every second. Its rotations per minute (RPM) are recorded as follows: 3, 9, 27, 81. What will the RPM be at the next second?

Accepted Answer

243

Answer

This is a geometric sequence where each term is found by multiplying the previous term by a constant number. 9 / 3 = 3; 27 / 9 = 3; 81 / 27 = 3. The pattern is to multiply the RPM by 3 each second. The next value is 81 * 3 = 243.

Question 3

What is the next number in the following sequence: 5, 10, 7, 12, 9, 14, ...?

Accepted Answer

11

Answer

This sequence contains two separate, alternating patterns. The first pattern starts with 5 and adds 2 to every other number (5, 7, 9, ...). The second pattern starts with 10 and adds 2 to every other number (10, 12, 14, ...). The next number needed is part of the first pattern (9 + 2 = 11).

Question 4

Identify the next number in this pattern: 2, 3, 5, 8, 12, ...

Accepted Answer

17

Answer

The pattern in this sequence is based on an increasing difference between consecutive numbers. The difference between 2 and 3 is +1. The difference between 3 and 5 is +2. The difference between 5 and 8 is +3. The difference between 8 and 12 is +4. The next difference should be +5, so 12 + 5 = 17.

Question 5

An electrical component's resistance is being reduced in fractional steps. Which fraction continues the pattern: 1/2, 3/4, 5/6, 7/8, ...?

Accepted Answer

9/10

Answer

This sequence has two distinct patterns for the numerators and denominators. The numerators are consecutive odd numbers (1, 3, 5, 7, ...), so the next numerator is 9. The denominators are consecutive even numbers (2, 4, 6, 8, ...), so the next denominator is 10. The next fraction in the sequence is 9/10.

IBEW - Aptitude Test Practice Test

IBEW - Aptitude Test Practice Test

IBEW Aptitude Test Number Sequences and Patterns Questions and Answers