ASVAB Math
A - ANS-Although a total of 131 soldiers are authorized for an infantry company, B Company
(Bulldogs), 3rd Battalion, 144th Infantry Regiment, has only 120 soldiers assigned, of whom
5% are officers. How many enlisted soldiers are assigned to the company?
(A) 114
(B) 123
(C) 120
(D) 121
A - ANS-Danny is comparing the prices of tuxedos for his prom. A rental tuxedo costs $70,
while a new tuxedo costs $120. Danny is thinking about having to have a tuxedo for next
year's prom as well. Keeping this in mind, how much money will Danny save if he uses the
same suit two years in a row? Assume that he will have to pay $4.50 to dry clean it before
next year's prom.
(A) $15.50
(B) $20.00
(C) $20.50
(D) $35.00
A - ANS-For a special mission, one soldier is to be chosen at random from among 3
infantrymen, 2 artillerymen, and 5 tank crewmen. What is the probability that an infantryman
will be chosen?
(A) 3/10
(B) 1/10
(C) 1/3
(D) 3/7
A - ANS-Simplify the expression [(x^2)y](2x - 3y)
(A) 2(x^3)(y) - 3(x^2)(y^2)
(B) 2(x^2)(y) - 2(x^3)(y^2)
(C) 2(x^3)(y) - 2(x^2)(y^3)
(D) 2(x^3)(y) + 3(x^3)(y^2)
A - ANS-Solve the following equation for y: ay - bx = 2
(A) (2 + bx) / a
(B) 2 + bx - a
(C) 2 / (a - bx)
(D) (2 / a) - bx
A - ANS-Solve the following equation: -6.1 * -8.05
(A) 49.105
(B) -56.35
(C) -49.105
(D) 51.85
A - ANS-Solve the following equation: (8 + 2 - 3)(7 - 9)^2
(A) 28
(B) -28
(C) 14
, (D) -32
A - ANS-What is the area of a circle whose diameter is 28 inches? Use 22/7 for the value of
pi.
(A) 616 square inches
(B) 88 square inches
(C) 44 square inches
(D) 1,232 square inches
A - ANS-What is the maximum number of boxes, each measuring 3 inches by 4 inches by 5
inches, that can be packed into a storage space measuring 1 foot by 2 feet by 2 feet, 1 inch?
(A) 120
(B) 60
(C) 75
(D) 98
B - ANS-A naval task force is to be made up of a destroyer, a supply ship, and a submarine.
If 4 destroyers, 2 supply ships, and 3 submarines are available, how many different
combinations are possible for the task force?
(A) 9
(B) 24
(C) 8
(D) 12
B - ANS-A pecan tree 36 feet high casts a shadow 8 feet long. At the same time of day, a
nearby mesquite tree casts a shadow 6 feet long. How tall is the mesquite tree?
(A) 30 feet
(B) 27 feet
(C) 24 feet
(D) 32 feet
B - ANS-A private pilot needs to calculate how much fuel is needed for an upcoming trip of
his vintage Waco biplane. The biplane's Jacobs B2M radial engine consumes about 15
gallons per hour at the aircraft's cruising speed of 120mph, and about 18 gallons per hour at
speeds above 200mph. The plane will take off from Love Field General Aviation in Fort
Worth, Texas, and fly 120 miles at cruising speed and then for 30 minutes near its top speed
of 214mph. If the pilot must put in enough fuel for the trip plus an additional 5 gallons, how
much fuel is needed?
(A) 21.5 gallons
(B) 29.0 gallons
(C) 38.0 gallons
(D) 48.5 gallons
B - ANS-A quadrilateral is a parallelogram only if
(A) It has 4 equal sides and 4 right angles
(B) Both of its 2 pairs of opposite sides are parallel
(C) It has at least 1 pair of parallel sides
(D) It has at least 2 right angles
B - ANS-Heather bought a rectangular Afghan rug with a perimeter that measures 36 feet. If
the long sides measure 12 feet each, how long is each short side of the rug?
(A) 4 feet
(B) 6 feet
(C) 10 feet
(D) 12 feet
A - ANS-Although a total of 131 soldiers are authorized for an infantry company, B Company
(Bulldogs), 3rd Battalion, 144th Infantry Regiment, has only 120 soldiers assigned, of whom
5% are officers. How many enlisted soldiers are assigned to the company?
(A) 114
(B) 123
(C) 120
(D) 121
A - ANS-Danny is comparing the prices of tuxedos for his prom. A rental tuxedo costs $70,
while a new tuxedo costs $120. Danny is thinking about having to have a tuxedo for next
year's prom as well. Keeping this in mind, how much money will Danny save if he uses the
same suit two years in a row? Assume that he will have to pay $4.50 to dry clean it before
next year's prom.
(A) $15.50
(B) $20.00
(C) $20.50
(D) $35.00
A - ANS-For a special mission, one soldier is to be chosen at random from among 3
infantrymen, 2 artillerymen, and 5 tank crewmen. What is the probability that an infantryman
will be chosen?
(A) 3/10
(B) 1/10
(C) 1/3
(D) 3/7
A - ANS-Simplify the expression [(x^2)y](2x - 3y)
(A) 2(x^3)(y) - 3(x^2)(y^2)
(B) 2(x^2)(y) - 2(x^3)(y^2)
(C) 2(x^3)(y) - 2(x^2)(y^3)
(D) 2(x^3)(y) + 3(x^3)(y^2)
A - ANS-Solve the following equation for y: ay - bx = 2
(A) (2 + bx) / a
(B) 2 + bx - a
(C) 2 / (a - bx)
(D) (2 / a) - bx
A - ANS-Solve the following equation: -6.1 * -8.05
(A) 49.105
(B) -56.35
(C) -49.105
(D) 51.85
A - ANS-Solve the following equation: (8 + 2 - 3)(7 - 9)^2
(A) 28
(B) -28
(C) 14
, (D) -32
A - ANS-What is the area of a circle whose diameter is 28 inches? Use 22/7 for the value of
pi.
(A) 616 square inches
(B) 88 square inches
(C) 44 square inches
(D) 1,232 square inches
A - ANS-What is the maximum number of boxes, each measuring 3 inches by 4 inches by 5
inches, that can be packed into a storage space measuring 1 foot by 2 feet by 2 feet, 1 inch?
(A) 120
(B) 60
(C) 75
(D) 98
B - ANS-A naval task force is to be made up of a destroyer, a supply ship, and a submarine.
If 4 destroyers, 2 supply ships, and 3 submarines are available, how many different
combinations are possible for the task force?
(A) 9
(B) 24
(C) 8
(D) 12
B - ANS-A pecan tree 36 feet high casts a shadow 8 feet long. At the same time of day, a
nearby mesquite tree casts a shadow 6 feet long. How tall is the mesquite tree?
(A) 30 feet
(B) 27 feet
(C) 24 feet
(D) 32 feet
B - ANS-A private pilot needs to calculate how much fuel is needed for an upcoming trip of
his vintage Waco biplane. The biplane's Jacobs B2M radial engine consumes about 15
gallons per hour at the aircraft's cruising speed of 120mph, and about 18 gallons per hour at
speeds above 200mph. The plane will take off from Love Field General Aviation in Fort
Worth, Texas, and fly 120 miles at cruising speed and then for 30 minutes near its top speed
of 214mph. If the pilot must put in enough fuel for the trip plus an additional 5 gallons, how
much fuel is needed?
(A) 21.5 gallons
(B) 29.0 gallons
(C) 38.0 gallons
(D) 48.5 gallons
B - ANS-A quadrilateral is a parallelogram only if
(A) It has 4 equal sides and 4 right angles
(B) Both of its 2 pairs of opposite sides are parallel
(C) It has at least 1 pair of parallel sides
(D) It has at least 2 right angles
B - ANS-Heather bought a rectangular Afghan rug with a perimeter that measures 36 feet. If
the long sides measure 12 feet each, how long is each short side of the rug?
(A) 4 feet
(B) 6 feet
(C) 10 feet
(D) 12 feet
