ASVAB - ARITHMETIC LATEST
REASONING/MATHEMATICS
KNOWLEDGE, AVSAB
MATHEMATICS
KNOWLEDGE
ANSWER ALL QUESTIONS IN THIS SECTION
QUESTION 1
Joan can shovel a certain driveway in 50 minutes. If Mary can shovel the same
driveway in 20 minutes, how long will it take them, to the nearest minute, to
shovel the driveway if they work together?
(a) 12
(b) 13
(c) 14
(d) 15 - ANSWERS-(c) 14
This is a combined work problem. Joan can shovel the whole driveway in 50
minutes, so each minute she does 1/50 of the driveway. Mary can shovel the whole
driveway in 20 minutes: each minute she does 1/20 of the driveway. In one minute
they do:
1/50 + 1/20 + = 2/100 + 5/100 = 7/100
END OF
PAGE
1
, ASVAB - ARITHMETIC LATEST
REASONING/MATHEMATICS
KNOWLEDGE, AVSAB
MATHEMATICS
KNOWLEDGE
If they do 7/100 of the driveway in one minute, they do the entire driveway in
100/7 minutes. (If you do 1/2 of a job in 1 minute, you do the whole job in the
reciprocal of 1/2, or 2 minutes.) So all that remains is to round 100/7 off to the
nearest integer. Since 100/7= 14 2/7, 100/7 is approximately 14. It takes about 14
minutes for both of them to shovel the driveway.
QUESTION 2
June's weekly salary is $70 less than Kelly's, which is $50 more than Eileen's. If
Eileen earns $280 per week, how much does June earn per week?
(a) $160
(b) $260
(c) $280
(d) $300 - ANSWERS-(b) $260
You're told that Eileen earns $2800 per week. Kelly earns $50 more Than Eileen,
so Kelly earns $280 + $50 = $330 per week. June's salary is $70 less than Kelly's,
so June earns $330 - $70 = $260 per week, and (b) is correct.
END OF
PAGE
2
, ASVAB - ARITHMETIC LATEST
REASONING/MATHEMATICS
KNOWLEDGE, AVSAB
MATHEMATICS
KNOWLEDGE
QUESTION 3
If a car is towed 12 miles to the repair shop and the tow charge is $3.50 per mile,
how much does the tow cost?
(a) $12.00
(b) $3.50
(c) $42.00
(d) $100.00 - ANSWERS-C) $42.00
Multiply 12 miles by $3.50 per mile. 12 x $3.50 = $42.00
QUESTION 4
The sum of two numbers is 70. One number is 8 more than the other. What's the
smaller number?
(a) 31
(b) 33
END OF
PAGE
3
, ASVAB - ARITHMETIC LATEST
REASONING/MATHEMATICS
KNOWLEDGE, AVSAB
MATHEMATICS
KNOWLEDGE
(c) 35
(d) 36 - ANSWERS-A) 31
x + x + 8 = 70, solve for x.
x = 31
QUESTION 5
A sales manager buys antacid in bottles the gross. If he goes through 3 bottles
antacid everyday, how long will the gross last?
(a) 144 days
(b) 3 days
(c) 20 days
(d) 48 days - ANSWERS-D) 144 days
144 bottles in a gross, and (bottles per day) = 48 days
END OF
PAGE
4
REASONING/MATHEMATICS
KNOWLEDGE, AVSAB
MATHEMATICS
KNOWLEDGE
ANSWER ALL QUESTIONS IN THIS SECTION
QUESTION 1
Joan can shovel a certain driveway in 50 minutes. If Mary can shovel the same
driveway in 20 minutes, how long will it take them, to the nearest minute, to
shovel the driveway if they work together?
(a) 12
(b) 13
(c) 14
(d) 15 - ANSWERS-(c) 14
This is a combined work problem. Joan can shovel the whole driveway in 50
minutes, so each minute she does 1/50 of the driveway. Mary can shovel the whole
driveway in 20 minutes: each minute she does 1/20 of the driveway. In one minute
they do:
1/50 + 1/20 + = 2/100 + 5/100 = 7/100
END OF
PAGE
1
, ASVAB - ARITHMETIC LATEST
REASONING/MATHEMATICS
KNOWLEDGE, AVSAB
MATHEMATICS
KNOWLEDGE
If they do 7/100 of the driveway in one minute, they do the entire driveway in
100/7 minutes. (If you do 1/2 of a job in 1 minute, you do the whole job in the
reciprocal of 1/2, or 2 minutes.) So all that remains is to round 100/7 off to the
nearest integer. Since 100/7= 14 2/7, 100/7 is approximately 14. It takes about 14
minutes for both of them to shovel the driveway.
QUESTION 2
June's weekly salary is $70 less than Kelly's, which is $50 more than Eileen's. If
Eileen earns $280 per week, how much does June earn per week?
(a) $160
(b) $260
(c) $280
(d) $300 - ANSWERS-(b) $260
You're told that Eileen earns $2800 per week. Kelly earns $50 more Than Eileen,
so Kelly earns $280 + $50 = $330 per week. June's salary is $70 less than Kelly's,
so June earns $330 - $70 = $260 per week, and (b) is correct.
END OF
PAGE
2
, ASVAB - ARITHMETIC LATEST
REASONING/MATHEMATICS
KNOWLEDGE, AVSAB
MATHEMATICS
KNOWLEDGE
QUESTION 3
If a car is towed 12 miles to the repair shop and the tow charge is $3.50 per mile,
how much does the tow cost?
(a) $12.00
(b) $3.50
(c) $42.00
(d) $100.00 - ANSWERS-C) $42.00
Multiply 12 miles by $3.50 per mile. 12 x $3.50 = $42.00
QUESTION 4
The sum of two numbers is 70. One number is 8 more than the other. What's the
smaller number?
(a) 31
(b) 33
END OF
PAGE
3
, ASVAB - ARITHMETIC LATEST
REASONING/MATHEMATICS
KNOWLEDGE, AVSAB
MATHEMATICS
KNOWLEDGE
(c) 35
(d) 36 - ANSWERS-A) 31
x + x + 8 = 70, solve for x.
x = 31
QUESTION 5
A sales manager buys antacid in bottles the gross. If he goes through 3 bottles
antacid everyday, how long will the gross last?
(a) 144 days
(b) 3 days
(c) 20 days
(d) 48 days - ANSWERS-D) 144 days
144 bottles in a gross, and (bottles per day) = 48 days
END OF
PAGE
4
