Armed Services Vocational Aptitude Battery Test: General Science, Arithmetic Reasoning, Word Knowledge, Paragraph Comprehension, Mathematics Knowledge, Electronics Information, Automotive & Shop Information, Mechanical Comprehension, Assembling Objects v1.0
Question 1
If a hexahedral die is rolled two times, whatג€™s the probability of NOT rolling a five both times?
- A. 1/36
- B. 1/6
- C. 4/36
- D. 25/36
Answer : D
Explanation:
The probability of rolling a 5 is 1 out of 6 (1ג„6), so the probability of NOT rolling a 5 is 1 ג€" 1ג„6, or 5ג„6. The probability of not rolling a 5 twice is 5ג„6 ֳ— 5ג„6, or 25ג„36.
Question 2
Jack loaned Bob $1,500 at an annual interest rate of 7%.
After one year, how much will Bob owe Jack?
- A. $105
- B. $1,500
- C. $1,605
- D. $1,507
Answer : C
Explanation:
Multiply loaned money, $1,500, by 7% to determine how much is the annual interest rate. $1,500 ֳ— 0.07 = $105.
Then add the annual interest state to the total amount of debt $105 + $1,500 = $1,605.
Question 3
A 2-ton truck is taxed at a rate of $0.12 per pound.
How much is the total tax bill?
- A. $480
- B. $240
- C. $120
- D. $600
Answer : A
Explanation:
2 tons = 4,000 pounds. 4,000 ֳ— $0.12 = $480.00.
Question 4
If ab = 10, and a -
= 30, solve for y in the equation, y = (a + b)
.
- A. 40
- B. 45
- C. 50
- D. 55
Answer : C
Explanation:
y = (a + b)
. Expanding the equation results in y = a
+ b
+ 2ab. You know that a
+ b
= 30, and ab = 10. When you substitute these known values into the equation, you get y = 30 + 2(10). Solving for y, results in y = 50.
Question 5
A half-pint of cream is what part of a gallon?
- A. 1ג„8
- B. 1ג„4
- C. 1ג„16
- D. 1ג„6
Answer : C
Explanation:
8 pints make up a gallon, so a gallon contains 16 half-pints. One half-pint equals 1ג„16 of a gallon.
Question 6
The cost of a protein bar increased from $2.50 to $2.80.
How much was the percent increase to the $2.80 rate?
- A. 16%
- B. 10%
- C. 15%
- D. 12%
Answer : D
Explanation:
First subtract the old cost from the new cost: $2.80 ג€" $2.50 = $0.30. Then divide the difference by the old cost to find the percent difference: $0.30 ֳ· $2.50 = 0.12
= 12%.
Question 7
An aircraft flies over Boondock Air Force Base at 10:20 a.m. At 10:32 a.m., the plane passes over Sea Side Naval Air Station, 120 miles away.
How fast is the aircraft traveling?
- A. 400 mph
- B. 500 mph
- C. 600 mph
- D. 700 mph
Answer : C
Explanation:
The aircraft travels 120 miles in 12 minutes, which is 1ג„5 of an hour. Therefore, in 5ג„5 (one) hour, it would travel 5 ֳ— 120, or 600 miles. The aircraft is traveling 600 miles per hour.
Question 8
Last year, Margot grew 50 bushels of corn in her backyard. This year, the yield has increased 8%.
How many bushels of corn did Margot grow this year?
- A. 56
- B. 52
- C. 60
- D. 54
Answer : D
Explanation:
Multiply 50 bushels by 8% to find the yield increase in bushels: 50 ֳ— 0.08 = 4. Add 4 bushels (the amount of the increase) to 50 bushels (the original yield) to determine that an 8% increase equals 54 bushels.
Question 9
Junior has saved money in his piggybank over the winter. He wants to buy a $30 computer game.
If he has 14 one-dollar bills, 16 half dollars, 12 quarters, 8 dimes, 25 nickels, and 10 pennies, how much more does he need to borrow from Dad to buy the game?
- A. $27.15
- B. $2.85
- C. $2.95
- D. $1.85
Answer : B
Explanation:
Convert the change to dollars or fractions of dollars and add:
Subtract the total from $30.00 to determine how much money Junior has to borrow:
$30.00 ג€" $27.15 = $2.85.
Question 10
Debbie receives a weekly salary of $80, plus a 5% commission on any sales. During the week, she has $800 in total sales.
Whatג€™s the ratio of her commission to her salary?
- A. 2/1
- B. 1/2
- C. 3/1
- D. 1/3
Answer : B
Explanation:
Her commission for the week was $40 (0.05 ֳ— 800 = 40). The ratio of her commission to her salary is 40ג„80, which can be reduced to 1ג„2.
Question 11
How many quart cans can be filled from a 25-gallon bucket of paint?
- A. 50
- B. 75
- C. 100
- D. 80
Answer : C
Explanation:
A gallon consists of 4 quarts. 4 ֳ— 25 = 100.
Question 12
If a crew of four people can paint the barn in three days, how long will it take a crew of two people?
- A. 4 days
- B. 11ג„2 days
- C. 8 days
- D. 6 days
Answer : D
Explanation:
Dividing 4 crewmembers by 2 crewmembers shows that 4 members are twice as many as 2 members. Multiply the number of days it would take 4 people to paint by 2 (3 ֳ— 2) to determine how long it would take 2 people to do the same task.
Question 13
Brian works for five hours and is paid $24. Christina works for three hours and is paid $10.95.
How much more per hour does Brian make than Christina?
- A. $1.15
- B. $1.25
- C. $1.35
- D. $1.37
Answer : A
Explanation:
Brianג€™s hourly wage is 24ג„5 ($4.80). Christinaג€™s hourly wage is 10.95/3 ($3.65).
$4.80 ג€" $3.65 = $1.15.
Question 14
Margaret is getting married and must be ready by 11:15 a.m. If itג€™s now 8:30 a.m., how much time does she have to get ready?
- A. 11ג„2 hours
- B. 21ג„2 hours
- C. 23ג„4 hours
- D. 21ג„3 hours
Answer : C
Explanation:
The amount of time from 8:30 a.m. to 11:15 a.m. is 2 hours and 45 minutes, or 245ג„60. To reduce the fraction, divide 45 by 60 to get 0.75, or 3ג„4. The total amount of time Margaret has to get ready is 23ג„4 hours.
Question 15
An accounting-firm employee is asked to shred 900 documents.
If he can shred documents at a rate of 7 per minute, the number of documents remaining after 1
ג„
hours of shredding is __________.
- A. 630
- B. 90
- C. 270
- D. 810
Answer : C
Explanation:
At a rate of 7 documents per minute, the employee can shred 630 documents in 90 minutes. How do you come up with that number? Multiply 7 by 90 (the number of minutes in 1
ג„
hours). Subtract 630 from 900 total documents to determine that after 1
ג„
hours of shredding, 270 documents remain.