ASVAB: Arithmetic Reasoning |
Questions & Answers 2025 (100%
Correct)
Terri has a jar of orange, blue, green, and red chocolate candies. In the jar are 75
orange candies, 62 blue candies, and 52 green candies. If there is a total of 252
candies in the jar, what is the probability that Terri will pick a red candy? - ANSWER -
To solve this problem, first find the number of red candies in the jar by adding the
numbers of all the other candies together, then subtracting from the total. 75 orange +
62 blue + 52 green = 189 candies 252 - 189 = 63 red candies
Probability is the chance that a certain event will happen. Since there are 63 red
candies out of a total of 250 candies, divide 63 by 252. Reduce the fraction by dividing
the numerator and denominator by 63. 63/252 ÷ 63/63 = ¼
A mobile classroom is a rectangular block that is 100 feet by 20 feet in length and width
respectively. If a student walks around the block once, how many yards does the
student cover? - ANSWER - Perimeter is equal to two times the length added to two
times the width, or 2L + 2W. The total distance traveled around the block is the
perimeter, which is 2(length) + 2(width).
2(100) + 2(20) = 200 + 40 = 240 feet
Set up a proportion to convert feet to yards. 1 yard = 3 feet x yards = 240 feet 1/3 =
x/240 240 = 3x x = 80 yards
Will is filling up his pool for the summer, and water from the hose flows into the pool at 6
gallons per minute. The pool holds 17,280 gallons. How long, in hours, does it take to fill
the pool? - ANSWER - The water is flowing into the pool at a rate of 6 gallons per
minute. Do the math to see how long it takes to get to 17,280 gallons: 17,280 gallons ÷
6 gallons/minute = 2,880 minutes To convert to hours, divide by 60 minutes: 2,880
minutes ÷ 60 minutes/hour = 48 hours
Which of the following is equal to the square root of fifty?
a. 2√5
b. 25√2
c. 5√2
d. 10√5 - ANSWER -
Which answer is equivalent to seven to the fourth power?
a. 0.0007
b. 70,000
c. 1
d. 2401 - ANSWER - Seven to the fourth power is 74, which is the equivalent of (7)(7)
(7)(7).
,Multiply to get the answer: 7(7) = 49
49(7) = 343
343(7) = 2401
What is 85,000,000,000 in scientific notation?
8.5 x 10^10
8.5 x 10^-10
.85 x 10^11
85 x 10^9 - ANSWER - In scientific notation, move the decimal point so it rests after the
first number (8). The exponent attached to the 10 expresses the number of decimal
points that must be added to the base number (8.5) in order to correctly write the
number.
At the arcade, Nick spent 203 tokens on videogames in seven days. Each day he spent
five more tokens than the previous day. How many tokens did Nick spend on the third
day at the arcade?
14 tokens
24 tokens
29 tokens
34 tokens - ANSWER - Let x = the number of tokens Nick spent on day 1. Set up the
following equation and solve for x:
x + (x + 5) + (x + 10) + (x + 15) + (x + 20) + (x + 25) + (x + 30) = 203
7x + 105 = 203
x = 14 tokens
We know Nick spent 14 tokens on the first day. To find what he spent on the third day,
add 10 tokens to get 24 tokens
Continue the pattern: 6, 9, 13.5, 20.25..., ?
a. 32.5
b. 25
c. 30.375
d. 27 - ANSWER - The pattern is the previous number multiplied by 1.5. Therefore, 6 ×
1.5 = 9; 9 × 1.5 = 13.5; 13.5 × 1.5 = 20.25; and 20.25 × 1.5 = 30.375.
Kevin and Kara are in a pancake-eating contest. Kevin can eat three pancakes per
minute, while Kara can eat 3 ½ pancakes per minute. How many total pancakes can
they eat in 10 minutes?
52 pancakes
72 pancakes
65 pancakes
44 pancakes - ANSWER - If Kevin eats 3 pancakes in one minute, you know he eats
3(10) = 30 in 10 minutes. If Kara eats 3 ½ per minute, she eats 3.5(10) = 35 in 10
minutes. Add 30 + 35 = 65 and you have your answer.
The sum of two numbers is 70. One number is 8 more than the other. What's the
smaller number?
,(a) 31
(b) 33
(c) 35
(d) 36 - ANSWER - A. x + x + 8 = 70, solve for x.
x = 31
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 - ANSWER - D. 144 bottles in a gross, and 144 ÷ 3 (bottles per day) = 48
days.
Jenny's test grades are 93,89, 96, and 98. If she wishes to raise her average to 95,
what does she need to score on her next test?
(a) 100
(b) 99
(c) 97
(d) 95 - ANSWER - B. x = the unknown score. (93 + 89 + 96 + 98 + x) ÷ 5 or (376 + x) ÷
5 = 95
376 + x = 95(5)
376 + x = 475
-376
x= 99
A waitress earns an average of 12% of the cost of the food she serves. If she serves
$375 worth of food in one evening, how much money in tips will she earn on average?
(a) $37
(b) $45
(c) $42
(d) $420 - ANSWER - B. Multiply the amount spent on drinks, $375, by 12% (or 0.12) to
determine the amount of tips:
$375 × 0.12 = $45
when a question asks you to determine the probability of one or another event
occurring, you __ the individual probabilities
a)subtract
b) add
c) multiply
d) divide - ANSWER - when a question asks you to determine the probability of one or
another event occurring, you add the individual probabilities
How many square feet of carpeting are needed to carpet a 12-foot × 12-foot room?
(a) 24
(b) 120
, (c) 48
(d) 144 - ANSWER - D. To determine square footage multiply length by width
12 × 12 = 144 sq feet
A group of five workers wants to have a fair way of deciding who has to perform a
difficult task, so they place 4 green balls and 1 red ball into an opaque box from which
each worker will draw a ball at random. The person who draws the red ball will have to
perform the task. What is the probability that the last (5th) person will get the red ball?
a) .10
b) .15
c) .20
d) .25 - ANSWER -
Joe received an hourly wage of $8.15. His boss gave him a 7% raise. How much does
Joe make per hour now?
(a) $0.57
(b) $8.90
(c) $8.72
(d) $13.85 - ANSWER - C.To calculate the new wage first multiply $8.15 × 0.07 = $0.57.
Then add that to the original wage,
$8.15 + $0.57 = $8.72
Alice leaves her house, driving east at 45 miles per hour (mph). Thirty minutes later her
husband Dave notices she forgot her cell phone and sets off after her. How fast must
Dave travel in order to catch up with Alice 3 hours after he leaves?
(a) 49 mph
(b) 50.5 mph
(c) 52.5 mph
(d) 54 mph - ANSWER - C. distance = speed × time. First find how far Alice had
traveled 3½ hours at 45 mph, or 157.5 mph. Dave has three hours to cover this
distance. Now find his speed. 157.5 mi ÷ 3 hr. = 52.5 mph
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?
(a) $7.50
(b) $1.50
(c) $8.00
(d) $22.50 - ANSWER - A. Subtract the sale price from the original price, $24.00 −
$22.50 = $1.50. Now multiply that number by the amount of cases to get the final
answer $1.50 × 5 = $7.50
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?
Questions & Answers 2025 (100%
Correct)
Terri has a jar of orange, blue, green, and red chocolate candies. In the jar are 75
orange candies, 62 blue candies, and 52 green candies. If there is a total of 252
candies in the jar, what is the probability that Terri will pick a red candy? - ANSWER -
To solve this problem, first find the number of red candies in the jar by adding the
numbers of all the other candies together, then subtracting from the total. 75 orange +
62 blue + 52 green = 189 candies 252 - 189 = 63 red candies
Probability is the chance that a certain event will happen. Since there are 63 red
candies out of a total of 250 candies, divide 63 by 252. Reduce the fraction by dividing
the numerator and denominator by 63. 63/252 ÷ 63/63 = ¼
A mobile classroom is a rectangular block that is 100 feet by 20 feet in length and width
respectively. If a student walks around the block once, how many yards does the
student cover? - ANSWER - Perimeter is equal to two times the length added to two
times the width, or 2L + 2W. The total distance traveled around the block is the
perimeter, which is 2(length) + 2(width).
2(100) + 2(20) = 200 + 40 = 240 feet
Set up a proportion to convert feet to yards. 1 yard = 3 feet x yards = 240 feet 1/3 =
x/240 240 = 3x x = 80 yards
Will is filling up his pool for the summer, and water from the hose flows into the pool at 6
gallons per minute. The pool holds 17,280 gallons. How long, in hours, does it take to fill
the pool? - ANSWER - The water is flowing into the pool at a rate of 6 gallons per
minute. Do the math to see how long it takes to get to 17,280 gallons: 17,280 gallons ÷
6 gallons/minute = 2,880 minutes To convert to hours, divide by 60 minutes: 2,880
minutes ÷ 60 minutes/hour = 48 hours
Which of the following is equal to the square root of fifty?
a. 2√5
b. 25√2
c. 5√2
d. 10√5 - ANSWER -
Which answer is equivalent to seven to the fourth power?
a. 0.0007
b. 70,000
c. 1
d. 2401 - ANSWER - Seven to the fourth power is 74, which is the equivalent of (7)(7)
(7)(7).
,Multiply to get the answer: 7(7) = 49
49(7) = 343
343(7) = 2401
What is 85,000,000,000 in scientific notation?
8.5 x 10^10
8.5 x 10^-10
.85 x 10^11
85 x 10^9 - ANSWER - In scientific notation, move the decimal point so it rests after the
first number (8). The exponent attached to the 10 expresses the number of decimal
points that must be added to the base number (8.5) in order to correctly write the
number.
At the arcade, Nick spent 203 tokens on videogames in seven days. Each day he spent
five more tokens than the previous day. How many tokens did Nick spend on the third
day at the arcade?
14 tokens
24 tokens
29 tokens
34 tokens - ANSWER - Let x = the number of tokens Nick spent on day 1. Set up the
following equation and solve for x:
x + (x + 5) + (x + 10) + (x + 15) + (x + 20) + (x + 25) + (x + 30) = 203
7x + 105 = 203
x = 14 tokens
We know Nick spent 14 tokens on the first day. To find what he spent on the third day,
add 10 tokens to get 24 tokens
Continue the pattern: 6, 9, 13.5, 20.25..., ?
a. 32.5
b. 25
c. 30.375
d. 27 - ANSWER - The pattern is the previous number multiplied by 1.5. Therefore, 6 ×
1.5 = 9; 9 × 1.5 = 13.5; 13.5 × 1.5 = 20.25; and 20.25 × 1.5 = 30.375.
Kevin and Kara are in a pancake-eating contest. Kevin can eat three pancakes per
minute, while Kara can eat 3 ½ pancakes per minute. How many total pancakes can
they eat in 10 minutes?
52 pancakes
72 pancakes
65 pancakes
44 pancakes - ANSWER - If Kevin eats 3 pancakes in one minute, you know he eats
3(10) = 30 in 10 minutes. If Kara eats 3 ½ per minute, she eats 3.5(10) = 35 in 10
minutes. Add 30 + 35 = 65 and you have your answer.
The sum of two numbers is 70. One number is 8 more than the other. What's the
smaller number?
,(a) 31
(b) 33
(c) 35
(d) 36 - ANSWER - A. x + x + 8 = 70, solve for x.
x = 31
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 - ANSWER - D. 144 bottles in a gross, and 144 ÷ 3 (bottles per day) = 48
days.
Jenny's test grades are 93,89, 96, and 98. If she wishes to raise her average to 95,
what does she need to score on her next test?
(a) 100
(b) 99
(c) 97
(d) 95 - ANSWER - B. x = the unknown score. (93 + 89 + 96 + 98 + x) ÷ 5 or (376 + x) ÷
5 = 95
376 + x = 95(5)
376 + x = 475
-376
x= 99
A waitress earns an average of 12% of the cost of the food she serves. If she serves
$375 worth of food in one evening, how much money in tips will she earn on average?
(a) $37
(b) $45
(c) $42
(d) $420 - ANSWER - B. Multiply the amount spent on drinks, $375, by 12% (or 0.12) to
determine the amount of tips:
$375 × 0.12 = $45
when a question asks you to determine the probability of one or another event
occurring, you __ the individual probabilities
a)subtract
b) add
c) multiply
d) divide - ANSWER - when a question asks you to determine the probability of one or
another event occurring, you add the individual probabilities
How many square feet of carpeting are needed to carpet a 12-foot × 12-foot room?
(a) 24
(b) 120
, (c) 48
(d) 144 - ANSWER - D. To determine square footage multiply length by width
12 × 12 = 144 sq feet
A group of five workers wants to have a fair way of deciding who has to perform a
difficult task, so they place 4 green balls and 1 red ball into an opaque box from which
each worker will draw a ball at random. The person who draws the red ball will have to
perform the task. What is the probability that the last (5th) person will get the red ball?
a) .10
b) .15
c) .20
d) .25 - ANSWER -
Joe received an hourly wage of $8.15. His boss gave him a 7% raise. How much does
Joe make per hour now?
(a) $0.57
(b) $8.90
(c) $8.72
(d) $13.85 - ANSWER - C.To calculate the new wage first multiply $8.15 × 0.07 = $0.57.
Then add that to the original wage,
$8.15 + $0.57 = $8.72
Alice leaves her house, driving east at 45 miles per hour (mph). Thirty minutes later her
husband Dave notices she forgot her cell phone and sets off after her. How fast must
Dave travel in order to catch up with Alice 3 hours after he leaves?
(a) 49 mph
(b) 50.5 mph
(c) 52.5 mph
(d) 54 mph - ANSWER - C. distance = speed × time. First find how far Alice had
traveled 3½ hours at 45 mph, or 157.5 mph. Dave has three hours to cover this
distance. Now find his speed. 157.5 mi ÷ 3 hr. = 52.5 mph
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?
(a) $7.50
(b) $1.50
(c) $8.00
(d) $22.50 - ANSWER - A. Subtract the sale price from the original price, $24.00 −
$22.50 = $1.50. Now multiply that number by the amount of cases to get the final
answer $1.50 × 5 = $7.50
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?
