EIAT - Elevator Industry Aptitude Percentages and Word Problems Questions and Answers — Questions and Answers
Question 1: A technician inspects a batch of 80 hoisting ropes. 12 of the ropes are found to have unacceptable wear and must be replaced. What percentage of the ropes needed replacement?
- 12%
- 15% (Correct answer)
- 20%
- 85%
Correct answer: 15%
To find the percentage, divide the number of ropes needing replacement (12) by the total number of ropes inspected (80) and then multiply by 100. The calculation is (12 / 80) * 100 = 0.15 * 100 = 15%.
Question 2: A new elevator installation requires 320 feet of electrical conduit. Due to a change in the building's layout, the required length is increased by 25%. What is the new total length of conduit required?
- 80 feet
- 345 feet
- 400 feet (Correct answer)
- 240 feet
Correct answer: 400 feet
First, calculate the amount of the increase, which is 25% of 320 feet. This is calculated as 0.25 * 320 = 80 feet. Then, add this increase to the original length to find the new total: 320 + 80 = 400 feet.
Question 3: A service company charges $2,500 for a standard annual maintenance contract. They offer a 10% discount for customers with more than five elevators. A building owner with six elevators also gets an additional 5% discount on the discounted price for paying a year in advance. How much does the building owner pay for the contract?
- $2,125.00
- $2,137.50 (Correct answer)
- $2,250.00
- $1,875.00
Correct answer: $2,137.50
First, calculate the 10% discount: $2,500 * 0.10 = $250. The price becomes $2,500 - $250 = $2,250. Next, calculate the additional 5% discount on this new price: $2,250 * 0.05 = $112.50. The final price is $2,250 - $112.50 = $2,137.50.
Question 4: After a 20% reduction in staff due to a slowdown, an elevator service branch now has 48 technicians. How many technicians did the branch have before the reduction?
- 58
- 38
- 60 (Correct answer)
- 72
Correct answer: 60
If there was a 20% reduction, the remaining 48 technicians represent 80% (100% - 20%) of the original staff. Let the original number be 'x'. The equation is 0.80 * x = 48. To find x, divide 48 by 0.80, which equals 60.
Question 5: An older elevator model had a maximum speed of 300 feet per minute (fpm). A modernization project replaced the motor and controls, increasing the maximum speed to 375 fpm. What was the percentage increase in the elevator's speed?
- 20%
- 75%
- 15%
- 25% (Correct answer)
Correct answer: 25%
The formula for percentage increase is ((New Value - Original Value) / Original Value) * 100. The increase in speed is 375 - 300 = 75 fpm. The percentage increase is (75 / 300) * 100 = 0.25 * 100 = 25%.
Question 6: A hydraulic elevator's oil reservoir is filled to 80% of its total capacity. If the reservoir currently holds 120 gallons of oil, what is the total capacity of the reservoir?
- 150 gallons (Correct answer)
- 144 gallons
- 96 gallons
- 200 gallons
Correct answer: 150 gallons
The problem states that 80% of the total capacity is equal to 120 gallons. To find the total capacity (100%), you can set up the equation 0.80 * C = 120, where C is the total capacity. Solving for C gives you C = 120 / 0.80, which equals 150 gallons.
EIAT - Elevator Industry Aptitude Percentages and Word Problems Questions and Answers
A technician inspects a batch of 80 hoisting ropes. 12 of the ropes are found to have unacceptable wear and must be replaced.
What percentage of the ropes needed replacement?