EIAT - Elevator Industry Aptitude Fractions and Decimals Computation Questions and Answers — Questions and Answers
Question 1: An elevator technician has a spool of wire that is 82.5 feet long. If they need to cut 12 pieces of wire that are each 6 1/4 feet long, how many feet of wire will be left on the spool?
- 2.5 feet
- 7.5 feet (Correct answer)
- 10.0 feet
- 12.5 feet
Correct answer: 7.5 feet
First, convert the mixed number to an improper fraction or a decimal. 6 1/4 feet is equal to 6.25 feet. Next, calculate the total length of wire needed by multiplying the number of pieces by the length of each piece: 12 pieces * 6.25 feet/piece = 75 feet. Finally, subtract the total length of wire used from the initial length of the spool: 82.5 feet - 75 feet = 7.5 feet.
Question 2: A mechanic needs to mix a solution that is 3/8 oil and the rest is a solvent. If the total container holds 32 ounces, what is the volume of the solvent in ounces?
- 12 ounces
- 16 ounces
- 20 ounces (Correct answer)
- 24 ounces
Correct answer: 20 ounces
First, calculate the volume of oil: (3/8) * 32 ounces = 12 ounces. The rest of the solution is solvent. To find the volume of the solvent, subtract the oil volume from the total volume: 32 ounces - 12 ounces = 20 ounces. Alternatively, if the oil is 3/8 of the solution, then the solvent must be 1 - 3/8 = 5/8 of the solution. (5/8) * 32 ounces = 20 ounces.
Question 3: Which of the following values is the largest?
- 5/8
- 0.6
- 0.62
- 13/20 (Correct answer)
Correct answer: 13/20
To compare the values, convert all of them to decimals. 5/8 = 0.625. 13/20 can be converted by multiplying the numerator and denominator by 5 to get 65/100, which is 0.65. Now compare the decimal values: 0.625, 0.6, 0.62, and 0.65. The largest value is 0.65, which is equivalent to 13/20.
Question 4: An elevator car is rated to carry 2,500 lbs. During a test, a technician loads it with three crates weighing 450.75 lbs, 620.5 lbs, and 515.25 lbs. How much more weight, in lbs, can be added to reach the maximum rated capacity?
- 913.5 lbs (Correct answer)
- 1,586.5 lbs
- 894.5 lbs
- 914.5 lbs
Correct answer: 913.5 lbs
First, sum the weights of the three crates: 450.75 + 620.5 + 515.25 = 1586.5 lbs. Then, subtract this total weight from the maximum capacity of the elevator: 2,500 lbs - 1586.5 lbs = 913.5 lbs.
Question 5: What is the result of 7/4 divided by 0.25?
- 3.5
- 5
- 7 (Correct answer)
- 1.75
Correct answer: 7
First, convert both numbers to the same format, either fractions or decimals. As a decimal, 7/4 is 1.75. So, 1.75 / 0.25 = 7. Alternatively, as fractions, 0.25 is 1/4. The problem becomes 7/4 divided by 1/4. To divide by a fraction, you multiply by its reciprocal: 7/4 * 4/1 = 28/4 = 7.
Question 6: A project requires three sections of pipe with lengths of 5.5 feet, 3 1/4 feet, and 7 1/2 feet. What is the total combined length of the pipe required in feet?
- 15.75 feet
- 16.00 feet
- 16.25 feet (Correct answer)
- 15.50 feet
Correct answer: 16.25 feet
To solve this, convert all the fractions to decimals. 3 1/4 feet = 3.25 feet. 7 1/2 feet = 7.5 feet. Now, add the lengths together: 5.5 + 3.25 + 7.5 = 16.25 feet.
EIAT - Elevator Industry Aptitude Fractions and Decimals Computation Questions and Answers
An elevator technician has a spool of wire that is 82.5 feet long.
If they need to cut 12 pieces of wire that are each 6 1/4 feet long, how many feet of wire will be left on the spool?