IBEW Aptitude Test — Questions and Answers

Question 1: Electrical power in watts is calculated as:

Voltage − Current
Voltage ÷ Current
Voltage + Current
Voltage × Current (Correct answer)

Correct answer: Voltage × Current

Power (P) = Voltage (V) × Current (I), so a circuit drawing 10A at 120V consumes 1,200 watts.

Question 2: Solve for x: 3x - 7 = 14

x = 7 (Correct answer)
x = 21
x = 2
x = 3

Correct answer: x = 7

Add 7 to both sides: 3x = 21, then divide by 3: x = 7.

Question 3: Solve the system: x + y = 10 and x - y = 4. What is x?

7 (Correct answer)
5
6
8

Correct answer: 7

Add equations: 2x = 14 → x = 7.

Question 4: Find the next term in the arithmetic sequence: 11, 17, 23, 29, ___?

34
33
35 (Correct answer)
36

Correct answer: 35

Common difference = 6. Next term = 29 + 6 = 35.

Question 5: What is 35% of 240?

78
72
84 (Correct answer)
96

Correct answer: 84

35% of 240 = 0.35 × 240 = 84.

Question 6: What is the rule for the sequence: 1, 3, 9, 27, 81?

Add 2 each time
Add consecutive even numbers
Multiply by 3 each time (Correct answer)
Multiply by 2 each time

Correct answer: Multiply by 3 each time

Each term is 3 times the previous: 1×3=3, 3×3=9, 9×3=27, 27×3=81.

Question 7: A motor drives a pump through a flexible coupling. The flexible coupling's primary purpose is to:

Compensate for minor shaft misalignment and absorb shock loads (Correct answer)
Change the direction of rotation
Reduce the operating speed
Increase torque output

Correct answer: Compensate for minor shaft misalignment and absorb shock loads

Flexible couplings accommodate small angular or parallel misalignments and dampen vibration and shock between connected shafts.

Question 8: A passage says: 'Overcurrent protection devices must be rated for the circuit's voltage and must interrupt fault current before damage occurs to conductors or equipment.' The phrase 'interrupt fault current' means:

Reduce the normal operating current
Increase the circuit's current-carrying capacity
Stop the flow of abnormal excess current during a fault (Correct answer)
Monitor current levels and send alerts when exceeded

Correct answer: Stop the flow of abnormal excess current during a fault

Interrupting fault current means stopping the abnormal flow of electricity that occurs during a short circuit or ground fault before it can cause damage.

Question 9: A passage reads: 'Conduit fill is defined as the percentage of the conduit's cross-sectional area occupied by conductors. For three or more conductors, the maximum allowable fill is 40 percent.' If a conduit has a cross-sectional area of 1.00 square inch, what is the maximum fill area for three conductors?

0.25 square inch
0.33 square inch
0.50 square inch
0.40 square inch (Correct answer)

Correct answer: 0.40 square inch

40 percent of 1.00 square inch is 0.40 square inch, which is the maximum allowable conductor fill area.

Question 10: A screw has 16 threads per inch. How far does a nut advance along the screw for each complete turn?

1/16 inch (Correct answer)
1/8 inch
16 inches
2 inches

Correct answer: 1/16 inch

Each full revolution advances the nut one thread pitch; pitch = 1 ÷ threads per inch = 1/16 in.

Question 11: Read the passage and determine the meaning of the word 'obviates' in this context. 'Proper planning is essential in any complex electrical installation. Creating a detailed schematic before starting work clarifies the layout of circuits, the placement of components, and the required materials. This foresight often reveals potential problems, such as conductor overfill in a conduit or an overloaded circuit. Addressing these issues on paper first is far more efficient than correcting them after the physical installation has begun. A well-designed schematic obviates the need for costly and time-consuming rework on the job site.' In the context of the passage, the word 'obviates' most nearly means:

Removes (Correct answer)
Complicates
Requires
Increases

Correct answer: Removes

The passage explains that a good schematic helps avoid problems and the need for rework. Therefore, it 'removes' or eliminates the necessity for this rework. The other options are contrary to the meaning of the sentence.

Question 12: An electrical signal's voltage is modeled by the function V(t) = 2t² - 8. At what positive value of t does the voltage equal 42?

t = 5 (Correct answer)
t = 17
t = 4
t = 25

Correct answer: t = 5

To solve for t, set the function equal to 42: 2t² - 8 = 42. First, add 8 to both sides to get 2t² = 50. Then, divide both sides by 2 to get t² = 25. Finally, take the square root of both sides. Since the question asks for a positive value, t = 5.

Question 13: If f(x) = 4x - 3 and g(x) = x + 5, what is f(g(2))?

29
26
25 (Correct answer)
22

Correct answer: 25

g(2) = 2 + 5 = 7. f(7) = 4(7) - 3 = 28 - 3 = 25.

Question 14: Which value completes the sequence: 4, 7, 12, 19, 28, ___?

37
38
40
39 (Correct answer)

Correct answer: 39

The differences increase by 2 each time (+3, +5, +7, +9, +11), so 28 + 11 = 39.

Question 15: Passage: 'A journeyman electrician mentors apprentices under the supervision of a master electrician. The master electrician holds the license that covers all work done by their crew. The journeyman may direct work but cannot pull permits independently.' What can a journeyman electrician NOT do according to this passage?

Pull permits independently (Correct answer)
Direct the work of the crew
Work under a master electrician
Mentor apprentices

Correct answer: Pull permits independently

The passage explicitly states the journeyman 'cannot pull permits independently.'

Question 16: A wire crew installs 240 feet of conduit in 6 hours. At the same rate, how many feet will they install in 9 hours?

300 feet
320 feet
400 feet
360 feet (Correct answer)

Correct answer: 360 feet

The rate is 240 ÷ 6 = 40 feet per hour, so in 9 hours they install 40 × 9 = 360 feet.

Question 17: What number is missing: 2, 3, 5, 8, 13, ___, 34?

18
21 (Correct answer)
20
22

Correct answer: 21

This is the Fibonacci sequence where each term is the sum of the two previous terms: 8 + 13 = 21.

Question 18: A passage reads: 'The National Electrical Code requires that all electrical installations be inspected and approved by the authority having jurisdiction prior to being placed in service.' Which term describes 'the authority having jurisdiction'?

The project owner or building manager
The equipment manufacturer's representative
The lead electrician on the project
The organization or official responsible for enforcing code (Correct answer)

Correct answer: The organization or official responsible for enforcing code

'Authority having jurisdiction' (AHJ) is a standard NEC term referring to the organization, office, or individual responsible for enforcing the requirements of a code.

Question 19: Convert 7/16 to a decimal.

0.4375 (Correct answer)
0.375
0.4625
0.5

Correct answer: 0.4375

7 ÷ 16 = 0.4375.

Question 20: Solve: 9 - 3x = 0

x = 3 (Correct answer)
x = 4
x = 1
x = 2

Correct answer: x = 3

9 = 3x. x = 3.

Question 21: What comes next: 1, 4, 9, 16, 25, ___?

36 (Correct answer)
32
34
30

Correct answer: 36

These are perfect squares: 1²=1, 2²=4, 3²=9, 4²=16, 5²=25, 6²=36.

Question 22: What is the circumference of a circle with a diameter of 10 feet? (Use π ≈ 3.14)

78.5 ft
15.7 ft
314 ft
31.4 ft (Correct answer)

Correct answer: 31.4 ft

Circumference = π × diameter = 3.14 × 10 = 31.4 ft.

Question 23: An apprenticeship handbook states: 'Apprentices must complete a minimum of 8,000 hours of on-the-job training and 900 hours of related classroom instruction to be eligible for journeyman status.' An apprentice has 7,500 OJT hours and 950 classroom hours. What is their status?

Not eligible, because both requirements must be met simultaneously
Not eligible, because OJT hours are below the 8,000-hour requirement (Correct answer)
Eligible, because classroom hours exceed the minimum
Eligible, because the total combined hours exceed 8,900

Correct answer: Not eligible, because OJT hours are below the 8,000-hour requirement

Both requirements must be met independently; 7,500 OJT hours falls short of the 8,000-hour minimum.

Question 24: What is the next number: 2, 6, 18, 54, 162, ___?

324
486 (Correct answer)
436
364

Correct answer: 486

Each term is multiplied by 3: 2×3=6, 6×3=18, 18×3=54, 54×3=162, 162×3=486.

Question 25: A passage reads: 'The neutral conductor in a balanced three-phase system carries no current because the currents from each phase cancel each other out. In an unbalanced system, the neutral carries the difference.' A three-phase system has Phase A at 20 A, Phase B at 20 A, and Phase C at 20 A. How much current flows in the neutral?

20 A
6.67 A
0 A (Correct answer)
60 A

Correct answer: 0 A

A perfectly balanced three-phase system has zero neutral current because the three phase currents cancel.

Question 26: Two gears are connected by a crossed drive belt. The drive gear (A) has a diameter of 10 inches and the driven gear (B) has a diameter of 5 inches. If gear A rotates clockwise, what is the motion of gear B?

Counter-clockwise at half the speed of A.
Clockwise at half the speed of A.
Clockwise at twice the speed of A.
Counter-clockwise at twice the speed of A. (Correct answer)

Correct answer: Counter-clockwise at twice the speed of A.

Gears connected by a crossed belt move in opposite directions. Therefore, if gear A rotates clockwise, gear B will rotate counter-clockwise. Since gear B is smaller (half the diameter), it must rotate faster to keep up with the belt. The speed ratio is inversely proportional to the diameter ratio, so gear B will rotate at twice the speed of gear A.

Question 27: A memo states: 'All apprentices must complete a minimum of 144 hours of related technical instruction per year in addition to on-the-job training hours. Failure to meet this requirement may result in suspension of the apprenticeship.' What would happen if an apprentice completed only 120 hours of instruction?

The apprenticeship could be suspended (Correct answer)
The apprentice would receive a warning only
The apprentice would need to retake failed courses only
No consequence is stated for missing instruction hours

Correct answer: The apprenticeship could be suspended

The memo states that failure to meet the 144-hour minimum 'may result in suspension of the apprenticeship,' and 120 hours is below that minimum.

Question 28: Two gears mesh together. Gear A has 15 teeth and Gear B has 45 teeth. If Gear A is the driver, which statement is true?

Gear B rotates slower than Gear A (Correct answer)
Gear B does not rotate
Gear B rotates at the same speed as Gear A
Gear B rotates faster than Gear A

Correct answer: Gear B rotates slower than Gear A

Gear B has 3× more teeth, so it rotates 3× slower (speed ratio = 15/45 = 1/3).

Question 29: In order to promote better Research and Development collaboration between universities, business, and the government, engineering research centers (ERCs) were initially formed in this nation in the middle of the 1980s. They were launched with a broad mandate, in contrast to comparable engineering research efforts that came before ERCs; their focus was on altering the conduct of academic engineering research and education as well as pre-competitive generic research. Innovation in next-generation technological advancements at the nexus of disciplines was the main area of concentration. Universities were known to frequently be the only locations with the necessary engineering expertise to produce the caliber of research needed to achieve such goals. The research's findings were meant to benefit the industry, but with a longer-term perspective than other research. University graduates would, in principle, be better equipped to start working in an engineering environment, which was another direct result of the ERCs. <br> <br> As time passed, the following generation of ERCs took things a step further by promoting cross-university collaboration and placing a particular emphasis on the younger generation of students with an interest in engineering, rather than just those who were already enrolled at the universities in question. In order to deal with a more interconnected economy and waning student interest in science and engineering, the third generation of ERCs was introduced in 2008. <br> <br> Industry has long been acknowledged as a pioneer in advancing cutting-edge engineering research.

False (Correct answer)
Cannot Tell
True

Correct answer: False

The passage states that 'Universities were known to frequently be the only locations with the necessary engineering expertise to produce the caliber of research needed to achieve such goals.' This indicates that universities, rather than industry, were primarily acknowledged for pioneering cutting-edge engineering research in this context, making the statement false.

Question 30: Find the missing number: 6, 12, 10, 20, 18, 36, ___?

40
32
34 (Correct answer)
38

Correct answer: 34

The pattern alternates: ×2 then −2, so 36 − 2 = 34.

Question 31: What is the primary mechanical function of a single fixed pulley?

To multiply the effort force by two.
To reduce the amount of rope needed to lift a load.
To decrease the distance the load is lifted.
To change the direction of the applied force. (Correct answer)

Correct answer: To change the direction of the applied force.

A single fixed pulley has an Ideal Mechanical Advantage (IMA) of 1, meaning it does not multiply the force. Its main purpose is to redirect the force, allowing a person to pull downwards to lift a load upwards. This is often a more convenient and ergonomic motion.

Question 32: Solve for x: 7 - 2x = 3

x = 4
x = 2 (Correct answer)
x = 5
x = -2

Correct answer: x = 2

Subtract 7 from both sides: -2x = -4, then divide by -2: x = 2.

IBEW Aptitude Test

The IBEW Aptitude Test evaluates electrical knowledge, algebra, and reading comprehension for union electrician apprenticeship.

Questions

46 min

Time Limit

65%

To Pass

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