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**ASVAB - Arithmetic Reasoning** Questions with
Detailed Verified Answers
A radar is designed to report the track of an aircraft every second. If this radar reports 30 tracks in
one minute, what percentage of the time did the radar track the aircraft?
A. 3%
B. 30%
C. 40%
D. 50% Ans: ✓ ✓ ✓ 50%
*A woman is looking for a bigger square office. She finds an office twice the area of her current
office. If the perimeter of her current office is 88 feet, how many square feet is the new office?
A. 176 sq ft.
B. 352 sq. ft.
C. 968 sq. ft.
D. 1,200 sq. ft. Ans: ✓ ✓ ✓ 88ft/4
22ft x 22=484
484ft is the current office
twice the size of her current office
484ft x 2= 968 ft
*if the perimeter of a square garden is 84 feet, what is the area of the garden
A. 21 sq ft
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B. 84 sq ft
C. 336 sq ft
D. 441 sq ft Ans: ✓ ✓ ✓ - square has 4 sides
- 84/4= 21
- Area of a square= a^2
- 21^2= 441 sq ft
if the ratio of sides of two square is 3:1, what is the ratio of their perimeters
A. 3:1
B. 4:1
C. 9:1
D. 12:1 Ans: ✓ ✓ ✓ 3:1
The price of salmon at a fish market is 5.40 per pound. This is 150% its cost at a supermarket. How
much would it cost per pound at the supermarket?
A. $3.20
B. $3.60
C. $4.20
D. $4.40 Ans: ✓ ✓ ✓ $3.60
A train goes twice as fast downhill as it can go uphill, and 2/3 as fast uphill as it can go on level
ground. If it goes 120 mph downhill, how long will it take to travel 45 miles on flat land?
A. 1/2 hour
B. 2/3 hour
C. 1-1/2 hours
D 2 hours Ans: ✓ ✓ ✓ speed uphill=120/2=60
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speed level=3/2 * uphill=90
speed downhill=120
on flat land, d=45=90*t
t=1/2 hr
Jamie just bought two boxes. The first box is square, with each side measuring 10 units, and is 4
units high. The second box is rectangular and has twice the volume of the square box. If the height
of the second box is 5 units, and the width is 10 units, what is the length of the second box?
A. 10 units
B. 12 units
C. 16 units
D. 18 units Ans: ✓ ✓ ✓ Solve for x
50x = 2(400)
50x = 800
x = 16
The height for Box2 is 16 units.
The area of a triangle is 32 square centimeters and its height is 8 centimeters. Find its base.
a. 8
b. 5
c. 6
d. 2 Ans: ✓ ✓ ✓ The formula for the area of a triangle is A = 1/2 bh.
Plug the known values into the formula and solve for the base:
32 = 1/2 b(8)
32 = 8b/2
© Get it right 2025 Getaway - Stuvia US All rights reserved
**ASVAB - Arithmetic Reasoning** Questions with
Detailed Verified Answers
A radar is designed to report the track of an aircraft every second. If this radar reports 30 tracks in
one minute, what percentage of the time did the radar track the aircraft?
A. 3%
B. 30%
C. 40%
D. 50% Ans: ✓ ✓ ✓ 50%
*A woman is looking for a bigger square office. She finds an office twice the area of her current
office. If the perimeter of her current office is 88 feet, how many square feet is the new office?
A. 176 sq ft.
B. 352 sq. ft.
C. 968 sq. ft.
D. 1,200 sq. ft. Ans: ✓ ✓ ✓ 88ft/4
22ft x 22=484
484ft is the current office
twice the size of her current office
484ft x 2= 968 ft
*if the perimeter of a square garden is 84 feet, what is the area of the garden
A. 21 sq ft
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B. 84 sq ft
C. 336 sq ft
D. 441 sq ft Ans: ✓ ✓ ✓ - square has 4 sides
- 84/4= 21
- Area of a square= a^2
- 21^2= 441 sq ft
if the ratio of sides of two square is 3:1, what is the ratio of their perimeters
A. 3:1
B. 4:1
C. 9:1
D. 12:1 Ans: ✓ ✓ ✓ 3:1
The price of salmon at a fish market is 5.40 per pound. This is 150% its cost at a supermarket. How
much would it cost per pound at the supermarket?
A. $3.20
B. $3.60
C. $4.20
D. $4.40 Ans: ✓ ✓ ✓ $3.60
A train goes twice as fast downhill as it can go uphill, and 2/3 as fast uphill as it can go on level
ground. If it goes 120 mph downhill, how long will it take to travel 45 miles on flat land?
A. 1/2 hour
B. 2/3 hour
C. 1-1/2 hours
D 2 hours Ans: ✓ ✓ ✓ speed uphill=120/2=60
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speed level=3/2 * uphill=90
speed downhill=120
on flat land, d=45=90*t
t=1/2 hr
Jamie just bought two boxes. The first box is square, with each side measuring 10 units, and is 4
units high. The second box is rectangular and has twice the volume of the square box. If the height
of the second box is 5 units, and the width is 10 units, what is the length of the second box?
A. 10 units
B. 12 units
C. 16 units
D. 18 units Ans: ✓ ✓ ✓ Solve for x
50x = 2(400)
50x = 800
x = 16
The height for Box2 is 16 units.
The area of a triangle is 32 square centimeters and its height is 8 centimeters. Find its base.
a. 8
b. 5
c. 6
d. 2 Ans: ✓ ✓ ✓ The formula for the area of a triangle is A = 1/2 bh.
Plug the known values into the formula and solve for the base:
32 = 1/2 b(8)
32 = 8b/2
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