EIAT - Elevator Industry Aptitude Basic Algebra and Equations Questions and Answers

Question 1

An elevator control system requires 3 resistors connected in series.
The values of the resistors are R1, R2, and R3.
The total resistance (RT) is 150 ohms.
If R1 = 45 ohms and R2 is twice the value of R1, what is the value of R3 in ohms?

Accepted Answer

15 ohms

Answer

45 ohms

Answer

90 ohms

Answer

135 ohms

Question 2

A technician is installing a new traveling cable that weighs 2.5 pounds per foot. The total length of the cable needed is 'L' feet. The total weight of the cable must not exceed 180 pounds. Which of the following inequalities correctly represents the maximum length of the cable that can be used?

Accepted Answer

2.5 * L <= 180

Answer

2.5 * L > 180

Answer

L / 2.5 <= 180

Answer

2.5 * L >= 180

Question 3

Solve for x in the following equation: 4(x + 3) - 10 = 2(x + 5)

Accepted Answer

x = 4

Answer

x = 2

Answer

x = -2

Answer

x = -4

Question 4

An elevator motor runs at a speed that is dependent on the input voltage (V). The relationship is given by the formula S = 15V + 20, where S is the speed in RPM. If the motor is running at 500 RPM, what is the input voltage (V)?

Accepted Answer

32 volts

Answer

48 volts

Answer

34.67 volts

Answer

500 volts

Question 5

A maintenance schedule requires that for every 3 elevators inspected (E), a technician must complete 5 pages of paperwork (P). Which equation correctly describes the relationship between elevators inspected and pages of paperwork?

Accepted Answer

5E = 3P

Answer

3E = 5P

Answer

E = 3/5 P

Answer

P = 3/5 E

Question 6

A wire's resistance (R) in ohms is directly proportional to its length (L) in meters and inversely proportional to its cross-sectional area (A) in square millimeters. If a 50-meter wire with an area of 2 mm² has a resistance of 10 ohms, what is the resistance of a 100-meter wire of the same material with an area of 4 mm²?

Accepted Answer

10 ohms

Answer

5 ohms

Answer

20 ohms

Answer

40 ohms