ASVABASVAB
- Arithmetic- Arithmetic Reasoning/Mathematics
Reasoning/MathematicsKnowledge
Knowledge Questions
and answers
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1. John bought a camera on sale that normally (c) $128
costs $160. If the price was reduced 20% during
the sale, what was the sale price of the camera? This question asks you to determine
the sale price of a camera that nor-
(a) $120 mally sells at $160 and is discounted
(b) $124 20%. To solve, determine what 20%
(c) $128 of $160 equals. Rewrite 20% as a
(d) $140 decimal.
20% = 0.20. So 20% of $160 = 0.20
x $160 = $32.
The sale price of the camera would
be $160 - $32 = $128, choice (c)
2. A subway car passes 3 stations every 10 min- (b) 18
utes. At this rate, how many stations will it pass
in one hour? First, set up the rate as a proportion,
where (x) is the number of stations.
(a) 15
(b) 18 3 stations/10 minutes = (x) sta-
(c) 20 tions/1 hour
(d) 30
Then, convert the units.
3 stations/10 minutes = (x) sta-
tions/60 minutes
Cross multiply and solve for (x).
180 = 10(x)
18 = (x)
3.
, ASVAB - Arithmetic Reasoning/Mathematics Knowledge
Study online at https://quizlet.com/_2n1jz0
On a certain map, 3/4 inch represents one mile. (b) 2 1/3
What distance, in miles, is presented by 1 3/4
inches? In this question, the ratio is implied:
for every 3/4 inch of map there is 1
(a) 1 1/2 real mile, so the ratio of inches to the
(b) 2 1/3 miles they represent is always 3/4
(c) 2 1/2 to 1. Therefore, you can set up the
(d) 5 1/4 proportion:
number of inches/ number of miles
= 3/ = 3/4
Now 1 3/4 inches = 7/4 inches.
Set up a proportion:
7/4 inches
7/4 inches / number of miles = 3/4
Cross-multiply:
7/4(4) = 3 (number of miles)
7= 3(number of miles)
7/3 = number of miles or 2 1/3 =
number of miles
4. A certain box contains baseballs and golf balls. (d) 45
If the ratio of baseballs to golf balls is 2:3 and
there are 30 baseballs in the box, how many You can express the ratio of base-
golf balls are in the box? balls to golf balls as 2/3. Since you
know the number of baseballs, you
, ASVAB - Arithmetic Reasoning/Mathematics Knowledge
Study online at https://quizlet.com/_2n1jz0
(a) 18 can set up a proportion: 2/3 = 30/
(b) 20 (x) where (x) is the number of golf
(c) 36 balls. To solve, cross-multiply to get
(d) 45 2(x) = 90, or x = 45.
5. Four people shared a taxi to the airport. The (d) $11.25
fare was $36.00, and they gave the driver a tip
equal to 25% of the fare. If they equally shared The total cost of the taxi ride equals
the cost of the fare and tip, how much did each $36 + (25% of $36), or $36 + (.25 x
person pay? $36) = $36 + $9 = $45. If four peo-
ple split the cost equally, then each
(a) $9.75 person paid $45/4, or $11.25 each.
(b) $10.25
(c) $10.75
(d) $11.25
6. If a car travels 1/100 of a kilometer each second, (a) 36
how many kilometers does it travel in an hour?
Find the number of seconds in an
(a) 36 hour and then multiply this by the
(b) 60 distance the car is traveling each
(c) 72 second. There are 60 seconds in
(d) 100 a minute and 60 minute in one
hour; therefore, there are 60 x 60,
or 3,600, seconds in an hour. In one
second the car travels 1/100 kilome-
ters; in one hour the car will travel
3,600 x 1/100 or 36 kilometers.
7. 20 - (-5) = __. (b) 25
(a) -25 Subtracting a negative number is
(b) 25
, ASVAB - Arithmetic Reasoning/Mathematics Knowledge
Study online at https://quizlet.com/_2n1jz0
(c) 15 the same as addition, so 20 - (-5) is
(d) -15 really 20 + 5 = 25.
8. Ms. Smith drove a total of 700 miles on a busi- (c) $25.00
ness trip. If her car averaged 35 miles per gallon
of gasoline and gasoline cost $1.25 per gallon, If Ms. Smith's car average 35 miles
what was the cost in dollars of the gasoline for per gallon, she can go 35 miles on 1
the trip? gallon. To go 700 miles she will need
700/35, or 20 gallons of gasoline.
(a) $20.00 The price of gasoline was $1.25 per
(b) $ 24.00 gallon, so she spent 20 x $1.25, or
(c) $ 25.00 $25, for her trip.
(d) $40.00
9. After eating 25% of the jelly beans, Brett had (d) 96
72 left. How many jelly beans did Brett have
originally? Be careful with a question like this
one. You're given the percent de-
(a) 90 crease (25%) and the new number
(b) 94 (72), and you're asked to reconstruct
(c) 95 the original number. Don't just take
(d) 96 25% of 72 and add it on. That 25%
is based not on the new number,
72, but on the original number - the
number you're looking for. The best
way to do a problem like this is to set
up an equation:
(original number) - (25% of original
number) = new number
(x) - 0.25(x) = 72
0.75x = 72
- Arithmetic- Arithmetic Reasoning/Mathematics
Reasoning/MathematicsKnowledge
Knowledge Questions
and answers
Study online atEXAM, SOLUTIONS (MULTIPLE CHOICES) 100% correct
https://quizlet.com/_2n1jz0
2025!!
1. John bought a camera on sale that normally (c) $128
costs $160. If the price was reduced 20% during
the sale, what was the sale price of the camera? This question asks you to determine
the sale price of a camera that nor-
(a) $120 mally sells at $160 and is discounted
(b) $124 20%. To solve, determine what 20%
(c) $128 of $160 equals. Rewrite 20% as a
(d) $140 decimal.
20% = 0.20. So 20% of $160 = 0.20
x $160 = $32.
The sale price of the camera would
be $160 - $32 = $128, choice (c)
2. A subway car passes 3 stations every 10 min- (b) 18
utes. At this rate, how many stations will it pass
in one hour? First, set up the rate as a proportion,
where (x) is the number of stations.
(a) 15
(b) 18 3 stations/10 minutes = (x) sta-
(c) 20 tions/1 hour
(d) 30
Then, convert the units.
3 stations/10 minutes = (x) sta-
tions/60 minutes
Cross multiply and solve for (x).
180 = 10(x)
18 = (x)
3.
, ASVAB - Arithmetic Reasoning/Mathematics Knowledge
Study online at https://quizlet.com/_2n1jz0
On a certain map, 3/4 inch represents one mile. (b) 2 1/3
What distance, in miles, is presented by 1 3/4
inches? In this question, the ratio is implied:
for every 3/4 inch of map there is 1
(a) 1 1/2 real mile, so the ratio of inches to the
(b) 2 1/3 miles they represent is always 3/4
(c) 2 1/2 to 1. Therefore, you can set up the
(d) 5 1/4 proportion:
number of inches/ number of miles
= 3/ = 3/4
Now 1 3/4 inches = 7/4 inches.
Set up a proportion:
7/4 inches
7/4 inches / number of miles = 3/4
Cross-multiply:
7/4(4) = 3 (number of miles)
7= 3(number of miles)
7/3 = number of miles or 2 1/3 =
number of miles
4. A certain box contains baseballs and golf balls. (d) 45
If the ratio of baseballs to golf balls is 2:3 and
there are 30 baseballs in the box, how many You can express the ratio of base-
golf balls are in the box? balls to golf balls as 2/3. Since you
know the number of baseballs, you
, ASVAB - Arithmetic Reasoning/Mathematics Knowledge
Study online at https://quizlet.com/_2n1jz0
(a) 18 can set up a proportion: 2/3 = 30/
(b) 20 (x) where (x) is the number of golf
(c) 36 balls. To solve, cross-multiply to get
(d) 45 2(x) = 90, or x = 45.
5. Four people shared a taxi to the airport. The (d) $11.25
fare was $36.00, and they gave the driver a tip
equal to 25% of the fare. If they equally shared The total cost of the taxi ride equals
the cost of the fare and tip, how much did each $36 + (25% of $36), or $36 + (.25 x
person pay? $36) = $36 + $9 = $45. If four peo-
ple split the cost equally, then each
(a) $9.75 person paid $45/4, or $11.25 each.
(b) $10.25
(c) $10.75
(d) $11.25
6. If a car travels 1/100 of a kilometer each second, (a) 36
how many kilometers does it travel in an hour?
Find the number of seconds in an
(a) 36 hour and then multiply this by the
(b) 60 distance the car is traveling each
(c) 72 second. There are 60 seconds in
(d) 100 a minute and 60 minute in one
hour; therefore, there are 60 x 60,
or 3,600, seconds in an hour. In one
second the car travels 1/100 kilome-
ters; in one hour the car will travel
3,600 x 1/100 or 36 kilometers.
7. 20 - (-5) = __. (b) 25
(a) -25 Subtracting a negative number is
(b) 25
, ASVAB - Arithmetic Reasoning/Mathematics Knowledge
Study online at https://quizlet.com/_2n1jz0
(c) 15 the same as addition, so 20 - (-5) is
(d) -15 really 20 + 5 = 25.
8. Ms. Smith drove a total of 700 miles on a busi- (c) $25.00
ness trip. If her car averaged 35 miles per gallon
of gasoline and gasoline cost $1.25 per gallon, If Ms. Smith's car average 35 miles
what was the cost in dollars of the gasoline for per gallon, she can go 35 miles on 1
the trip? gallon. To go 700 miles she will need
700/35, or 20 gallons of gasoline.
(a) $20.00 The price of gasoline was $1.25 per
(b) $ 24.00 gallon, so she spent 20 x $1.25, or
(c) $ 25.00 $25, for her trip.
(d) $40.00
9. After eating 25% of the jelly beans, Brett had (d) 96
72 left. How many jelly beans did Brett have
originally? Be careful with a question like this
one. You're given the percent de-
(a) 90 crease (25%) and the new number
(b) 94 (72), and you're asked to reconstruct
(c) 95 the original number. Don't just take
(d) 96 25% of 72 and add it on. That 25%
is based not on the new number,
72, but on the original number - the
number you're looking for. The best
way to do a problem like this is to set
up an equation:
(original number) - (25% of original
number) = new number
(x) - 0.25(x) = 72
0.75x = 72
