# Job Interview – "Test First Hiring" – Math Word Problems

An airport employee checked a group of passengers through security on Thursday. On Friday, she checked three times as many passengers, and on Saturday she processed 5,000 passengers through security. In the 3 days, she processed 15,000 passengers. How many did she process on Friday?

A1000
B7500
C5000
D2000
E3000

7500
A vacuum cleaner manufacturer offers to its customers 2 models, three choices of colors, and six accessory packages. How many vacuum sets are required for a complete display?

A36
B24
C12
D48
E56

36
A tortilla maker produces 100 tortillas in half an hour. If he works from 9 am to 5 pm with a one hour lunch and two 15-minute breaks, how many tortillas will he have made?

A1300
B1225
C650
D800
E900

1300
A security business invoices its 30,800 customers on the first day of each month, with each of two computers doing half the job. One invoicing machine produces at the rate of 7,700 per hour, and the other at the rate of 6,800 per hour. When the first computer finishes its run, how many invoices did the second computer still need to produce?

A1525
B1200
C1750
D1800
E1400

1400
Within a computer service company, 20 percent of the male employees and 30 percent of the female employees attend night school. If 40 percent of all employees are male, what percent of all the employees attend night school?

A20%
B27.5%
C25%
D30%
E26%

26%
The average length of time that three lawn-service mowers operate on a given day is 930 minutes. None of the mowers operates for less than 900 minutes. What is the greatest possible length of time any of the mowers operates?

A990
B950
C960
D900
E930

930
In a work-out facility, there are two racks with 40 towels per rack. On Tuesday, there were 30 towels in use, on Wednesday 50, and on Thursday 25. What fraction, on the average, is in use for the 3 days?

A2/3
B7/16
C1/4
D3/8
E1/2

7/16
A company rented a copier for \$600 per month. Five years
later, an accountant calculated that if the company had purchased the copier and paid a \$100 monthly maintenance charge, the company would have saved \$700. What was the purchase price of the copier?

A\$26,000
B\$30,000
C\$29,300
D\$27,250
E\$25,000

\$29,300
If a salesman averages a new order every other week, he will break the office record for the year. However, after 28 weeks he is four orders behind schedule. In what proportion of the remaining weeks does he have to obtain a new order to break the record?

A2/3
B3/5
C4/5
D7/10
E1/5

?
A new cosmetic product costs 74 cents each to anufacture, and 67 cents each to market. If 40,000 will be sold, what must the price of each product be to provide a profit of 25% of the price?

A\$1.88
B\$1.67
C\$1.75
D\$1.40
E\$1.50

\$1.88
A tape manufacturer reduces the price of its Heavy Duty Tape from \$30 to \$28 a reel, and the price of Regular Tape from \$20 to \$19 a reel. A computing center normally spends \$1600 per month for tapes and 3/5 of this for Heavy Duty Tapes. How much will they save per month under the new prices?

A\$90
B\$108
C\$76
D\$96
E\$70

\$96
An accounting machine operator wanted to divide an 85-minute job between two identical machines so that one machine would take one and one-half times as long as the other. How much time (in minutes) was taken by the machine doing the longer job?

A57
B34
C64
D51
E40.5

51
In a programming team of 20 persons, 1/4 are women and 3/4 are men. To obtain a team with 40% women, how many women should be hired?

A5
B3
C15
D8
E10

5
In the construction of a new building, a landscape architect determined that he had a plot 810 feet by 35 feet, to be filled to a depth of 6 inches with loam. How many cubic yards of loam would he require?

A1025
B900
C700
D850
E525

?
A printer has an original value of \$6000. If it depreciates at the rate of 7 percent of the original cost per year, what is its value at the end of 8 years?

A\$3360
B\$4000
C\$2640
D\$4280
E\$1960

\$3360
A company figured it needed 56.5 square feet of carpet for its reception room. To allow for waste, it was decided to order 30 percent more material than needed. Fractional parts of square feet cannot be ordered. At \$7.00 per square foot, how much would the carpet cost?

A\$405
B\$216
C\$768
D\$880
E\$518

?
The dimensions of a certain IBM machine are 20″ x 17″ x 48″. If the size of the machine is increased proportionately until
the sum of its dimensions equals 200″, what will be the increase in the shortest side?

A25.4″
B40″
C23″
D36″
E10.2″

23″
A company buys equal numbers of two different card forms. It utilizes 2/3 of one kind and 9/10 of the other. What fraction of the total number is unused?

A 1/3
B12/30
C13/60
D28/30
E5/30 r

13/60
A fire engine starts pumping water at 9:20 am at the rate of 800 gallons per minute. Another fire engine, pumping at the rate of 1000 gallons per minute, starts at 9:30 am. At what time will the two engines have pumped the same number of gallons?

A10:30
B9:40
C10:10
D10:50
E 10:20

C10:10
In a certain computer company, 3/5 of the programmers know FORTRAN, 1/6 know COBOL, and 1/10 know both. What fraction know neither FORTRAN nor COBOL?

A27/30
B2/15
C 10/30
D1/5E1/6

10/30
A rectangular room twice as long as it is wide would contain 160 square feet more if each side were one foot longer. What is the length of the room?

A106 feet
B48 feet
C95 feet
D36 feet
E70 feet

106 feet
A salesman used three types of order forms: A, B, C. He used 40 of Form A. Of Form B he used four times as many as Form A plus 1/2 as many as Form C. He used as many of Form C as Form A plus 1/2 as many as Form B. Altogether, how many forms did he use?

A500
B440
C250
D200
E320

?
One tank of gasoline has an octane rating of 140 and another tank of gasoline has an octane rating of 80. To obtain a mixture of 60 gallons with an octane rating of 120, how many gallons should be used from the tank with the octane rating of 80?

A20
B15
C30
D45
E60

?
The lowest monthly commission that a salesman earned was only 1/5 more than 1/4 as high as the highest commission he earned. The highest and lowest commissions when added together equal \$819. What was the lowest commission?

A\$600
B\$250
C\$189
D\$49
E\$125

\$189
A company figured that if it had 50 more employees and paid each one \$2 per day less, the payroll would increase \$620 per day. If it had 50 less employees and paid each \$4 per day more, the payroll would decrease \$640 per day. How many employees does the company now have?

A80
B150
C125
D140
E180

?

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