ASVAB - Arithmetic Reasoning/Mathematics
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John bought a camera on (c) $128
sale that normally costs
$160. If the price was This question asks you to determine the sale price of a
reduced 20% during the camera that normally sells at $160 and is discounted
sale, what was the sale 20%. To solve, determine what 20% of $160 equals.
price of the camera? Rewrite 20% as a decimal.
(a) $120 20% = 0.20. So 20% of $160 = 0.20 x $160 = $32.
(b) $124 The sale price of the camera would be $160 - $32 =
(c) $128 $128, choice (c)
(d) $140
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(b) 18
First, set up the rate as a proportion, where (x) is the
A subway car passes 3 number of stations.
stations every 10 minutes.
At this rate, how many 3 stations/10 minutes = (x) stations/1 hour
stations will it pass in one
hour? Then, convert the units.
(a) 15 3 stations/10 minutes = (x) stations/60 minutes
(b) 18
(c) 20 Cross multiply and solve for (x).
(d) 30
180 = 10(x)
18 = (x)
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(b) 2 1/3
In this question, the ratio is implied: for every 3/4 inch
of map there is 1 real mile, so the ratio of inches to the
miles they represent is always 3/4 to 1. Therefore, you
can set up the proportion:
number of inches/ number of miles = 3/ = 3/4
On a certain map, 3/4 inch
represents one mile. What
Now 1 3/4 inches = 7/4 inches.
distance, in miles, is
presented by 1 3/4 inches?
Set up a proportion:
(a) 1 1/2
7/4 inches
(b) 2 1/3
(c) 2 1/2
7/4 inches / number of miles = 3/4
(d) 5 1/4
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
A certain box contains (d) 45
baseballs and golf balls. If
the ratio of baseballs to You can express the ratio of baseballs to golf balls as
golf balls is 2:3 and there 2/3. Since you know the number of baseballs, you can
are 30 baseballs in the set up a proportion: 2/3 = 30/ (x) where (x) is the
box, how many golf balls number of golf balls. To solve, cross-multiply to get
are in the box? 2(x) = 90, or x = 45.
(a) 18
(b) 20
(c) 36
(d) 45
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Four people shared a taxi (d) $11.25
to the airport. The fare was
$36.00, and they gave the The total cost of the taxi ride equals $36 + (25% of
driver a tip equal to 25% $36), or $36 + (.25 x $36) = $36 + $9 = $45. If four
of the fare. If they equally people split the cost equally, then each person paid
shared the cost of the fare $45/4, or $11.25 each.
and tip, how much did
each person pay?
(a) $9.75
(b) $10.25
(c) $10.75
(d) $11.25
If a car travels 1/100 of a (a) 36
kilometer each second,
how many kilometers does Find the number of seconds in an hour and then
it travel in an hour? multiply this by the distance the car is traveling each
second. There are 60 seconds in a minute and 60
(a) 36 minute in one hour; therefore, there are 60 x 60, or
(b) 60 3,600, seconds in an hour. In one second the car
(c) 72 travels 1/100 kilometers; in one hour the car will travel
(d) 100 3,600 x 1/100 or 36 kilometers.
20 - (-5) = __. (b) 25
(a) -25 Subtracting a negative number is the same as
(b) 25 addition, so 20 - (-5) is really 20 + 5 = 25.
(c) 15
(d) -15
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