Test Prep ASVAB Test Exam Practice Questions (P. 2)
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Question #11
A baker made 20 pies. A Boy Scout troop buys one-fourth of his pies, a preschool teacher buys one-third of his pies, and a caterer buys one-sixth of his pies.
How many pies does the baker have left?
How many pies does the baker have left?
- A3ג„4
- B15
- C12
- D5
Correct Answer:
D
Convert the different denominators to a common denominator that all the denominators can divide into evenly.
4, 3, and 6 all divide evenly into 12.
To convert 1ג„4 to xג„12, divide 12 (the new common denominator) by 4 (the old common denominator) to get 3.
Then multiply 1ג„4 by 3ג„3 (another way of saying 1).
Do the same calculation for the other fractions: 1ג„3 = 4ג„12 and 1ג„6 = 2ג„12.
Then add the new numerators together: 3 + 4 + 2 = 9.
This gives you your new added numerator.
Place the added numerator over the new denominator, and you can see that 9ג„12 of the pies have been sold.
9ג„12 can be reduced to 3ג„4.
3ג„4 or 75% of the pies have been sold.
20 ֳ— 0.75 = 15.
15 of 20 pies have been sold.
20 ג€" 15 = 5 pies remaining
D
Convert the different denominators to a common denominator that all the denominators can divide into evenly.
4, 3, and 6 all divide evenly into 12.
To convert 1ג„4 to xג„12, divide 12 (the new common denominator) by 4 (the old common denominator) to get 3.
Then multiply 1ג„4 by 3ג„3 (another way of saying 1).
Do the same calculation for the other fractions: 1ג„3 = 4ג„12 and 1ג„6 = 2ג„12.
Then add the new numerators together: 3 + 4 + 2 = 9.
This gives you your new added numerator.
Place the added numerator over the new denominator, and you can see that 9ג„12 of the pies have been sold.
9ג„12 can be reduced to 3ג„4.
3ג„4 or 75% of the pies have been sold.
20 ֳ— 0.75 = 15.
15 of 20 pies have been sold.
20 ג€" 15 = 5 pies remaining
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Question #12
Miriam bought five cases of motor oil on sale. A case of motor oil normally costs $24.00, but she was able to purchase the oil for $22.50 a case.
How much money did Miriam save on her entire purchase?
How much money did Miriam save on her entire purchase?
- A$7.50
- B$1.50
- C$8.00
- D$22.50
Correct Answer:
A
Subtract the sale price from the regular price: $24.00 ג€" $22.50 = $1.50. Multiply the remainder by the number of cases to get your answer: $1.50 ֳ— 5 = $7.50.
A
Subtract the sale price from the regular price: $24.00 ג€" $22.50 = $1.50. Multiply the remainder by the number of cases to get your answer: $1.50 ֳ— 5 = $7.50.
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Question #13
A security guard walks the equivalent of six city blocks when he makes a circuit around the building.
If he walks at a pace of eight city blocks every 30 minutes, how long will it take him to complete a circuit around the building, assuming he doesn't run into any thieves?
If he walks at a pace of eight city blocks every 30 minutes, how long will it take him to complete a circuit around the building, assuming he doesn't run into any thieves?
- A20.00 minutes
- B3.75 minutes
- C22.50 minutes
- D24.00 minutes
Correct Answer:
C
Divide 30 by 8 to determine that the security guard takes 3.75 minutes to walk one city block. Multiply 3.75 by 6, the number of blocks it takes to complete the circuit, to arrive at 22.50, or 22
ג„
minutes.
C
Divide 30 by 8 to determine that the security guard takes 3.75 minutes to walk one city block. Multiply 3.75 by 6, the number of blocks it takes to complete the circuit, to arrive at 22.50, or 22
ג„
minutes.
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Question #14
The population of Grand Island, Nebraska, grew by 600,000 people between 1995 and 2005, one-fifth more than the town council predicted.
The town council originally predicted the city's population would grow by __________.
The town council originally predicted the city's population would grow by __________.
- A400,000
- B500,000
- C300,000
- D200,000
Correct Answer:
B
Let x = the original estimate. An additional one-fifth would be 6ג„5x, or 120% of x.
The equation can be expressed as 1.2x = 600000.
To solve for x, divide both sides of the equation by 1.2.
x = 500,000.
B
Let x = the original estimate. An additional one-fifth would be 6ג„5x, or 120% of x.
The equation can be expressed as 1.2x = 600000.
To solve for x, divide both sides of the equation by 1.2.
x = 500,000.
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Question #15
Joan is taking an admissions examination.
If she has to get at least 40 of the 60 questions right to pass, what percent of the questions does she need to answer correctly?
If she has to get at least 40 of the 60 questions right to pass, what percent of the questions does she need to answer correctly?
- A30%
- B40%
- C66 ג„ %
- D66 ג„ %
Correct Answer:
D
Divide the number of questions she must get right (40) by the total number of questions (60) to reach 66
ג„
%.
D
Divide the number of questions she must get right (40) by the total number of questions (60) to reach 66
ג„
%.
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Question #16
A teacher deposited $3,000 in a retirement fund.
If she didn't add any more money to the fund, which earns an annual interest rate of 6%, how much money would she have in 1 year?
If she didn't add any more money to the fund, which earns an annual interest rate of 6%, how much money would she have in 1 year?
- A$180
- B$3,006
- C$3,180
- D$6,000
Correct Answer:
C
To determine the amount of interest earned, multiply the principal ($3,000) by the interest rate (6%) and the number of years interest accrues (1 year): $3,000 ֳ—
0.06 ֳ— 1 = $180.
Add the interest earned to the principal to show how much total money the teacher would have: $180 + $3,000 = $3,180.
C
To determine the amount of interest earned, multiply the principal ($3,000) by the interest rate (6%) and the number of years interest accrues (1 year): $3,000 ֳ—
0.06 ֳ— 1 = $180.
Add the interest earned to the principal to show how much total money the teacher would have: $180 + $3,000 = $3,180.
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Question #17
The high-school track measures one quarter of a mile around.
How many laps would you have to run in order to run three and a half miles?
How many laps would you have to run in order to run three and a half miles?
- A12
- B14
- C16
- D18
Correct Answer:
B
Divide the total number of laps by the length of one lap. 3
ג„
ֳ· 1ג„4. First, convert the mixed number to a fraction, then divide by 1ג„4.
7ג„2 ֳ· 1ג„4 = 28ג„2, which can be reduced to 14.
B
Divide the total number of laps by the length of one lap. 3
ג„
ֳ· 1ג„4. First, convert the mixed number to a fraction, then divide by 1ג„4.
7ג„2 ֳ· 1ג„4 = 28ג„2, which can be reduced to 14.
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Question #18
Karl is driving in Austria, where the speed limit is posted in kilometers per hour. The car's speedometer shows that he's traveling at a rate of 75 kilometers per hour. Karl knows that a kilometer is about 5ג„8 of a mile.
Approximately how many miles per hour is Karl traveling?
Approximately how many miles per hour is Karl traveling?
- A47
- B120
- C50
- D53
Correct Answer:
A
A kilometer is 5ג„8 of a mile, so multiply 75 ֳ— 5ג„8, or 75ג„1 ֳ— 5ג„8 = 375ג„8.
Divide 8 into 375 to reduce the fraction and determine that Karl was traveling at 47 miles per hour.
A
A kilometer is 5ג„8 of a mile, so multiply 75 ֳ— 5ג„8, or 75ג„1 ֳ— 5ג„8 = 375ג„8.
Divide 8 into 375 to reduce the fraction and determine that Karl was traveling at 47 miles per hour.
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Question #19
A carpenter earns $12.30 an hour for a 40-hour week. His overtime pay is 11ג„2 times his base pay.
If he puts in a 46-hour week, how much is his weekly pay?
If he puts in a 46-hour week, how much is his weekly pay?
- A$602.70
- B$492.00
- C$565.80
- D$110.70
Correct Answer:
A
$12.30 ֳ— 40 hours = $492, his base pay per week. $12.30 ֳ— 1.5 = $18.45, his overtime rate per hour. $18.45 (overtime rate per hour) ֳ— 6 (hours of overtime) =
$110.70 (overtime pay). $492.00 (base pay) + $110.70 (overtime pay) = $602.70 (total pay for the week).
A
$12.30 ֳ— 40 hours = $492, his base pay per week. $12.30 ֳ— 1.5 = $18.45, his overtime rate per hour. $18.45 (overtime rate per hour) ֳ— 6 (hours of overtime) =
$110.70 (overtime pay). $492.00 (base pay) + $110.70 (overtime pay) = $602.70 (total pay for the week).
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Question #20
An office building has 30 employees and allows 42 square feet of work space per employee.
If five more employees are hired, how much less work space wills each employee have?
If five more employees are hired, how much less work space wills each employee have?
- A6 square feet
- B7 square feet
- C7.5 square feet
- D8 square feet
Correct Answer:
A
The office has 1,260 square feet of space (multiply 42 square feet by 30 employees). With 35 employees, each employee will have 36 square feet of work space
(1,260 ֳ· 35), which is 6 square feet less than originally.
A
The office has 1,260 square feet of space (multiply 42 square feet by 30 employees). With 35 employees, each employee will have 36 square feet of work space
(1,260 ֳ· 35), which is 6 square feet less than originally.
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