Arithmetic Reasoning Exam Questions with Correct Solutions Latest Version (2024-2025) Graded A+
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? - Answers 50%
Jerry walked a dog from 6:40am to 7:30pm one day. If he was paid at the rate of 6$ per hour, how much
did he earn that day? - Answers 5.00$
A women 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? - Answers Her
current office is square and has a perimeter of 88 ft so its sides each measure 88/4 = 22 ft. It follows that
the area of her current office = (22 ft)^2 = 484 sq. ft. Thus the area of the new office = 484 x 2 = 968 sq.
ft.
How many feet of chain fence are necessary to enclose a dog pen that is square an has an area of 64
square feet? - Answers 32
The pet store had six puppies selling for 104 each and twelve kittens selling for 24 each. Today, only two
puppies and eight kittens were left. In dollar terms, what was the ratio of sales of puppies to kittens? -
Answers 13 to 3
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? - Answers 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? - Answers 1/2 hour
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? - Answers 16 units
Each August, a restaurant's rent is adjusted to the cost of living index. The rent has been 1,550 a month,
and the cost of living index for this August was 3.7%. What is the new rent per month? - Answers
1,607.35
There are 9 red and 6 green marbles in a bag. A child reaches in the bag and randomly takes one marble.
What is the probability pf that child getting a green marble? - Answers .66
Before being painted, a concrete play area was marked off into squares and then into triangles. For the
square shown, what is the area of the triangular part labeled XYZ? - Answers 32 sq ft
If the population of a certain city increased 25% in two years, the new population was what percent of
the old? - Answers 125%
A printing press will print 6,000 copies in 20 minutes. A second press can print 15,000 in 60 minutes,
How many more copies per minute will the faster press print than the slower press? - Answers 3,000
, Debra and Ian shared in a 1,000,000$ estate. If Ian received 125,000, and Debra the rest, what fraction
of the estate did Debra receive? - Answers 7/8
Perimeter of a garden is 84, what is the area? - Answers - square has 4 sides
- 84/4= 21
- Area of a square= a^2
- 21^2= 441sq ft
A television is on sale for 20% off. If the sale price is $800, what was the original price? - Answers $1,000
If an item is discounted 20%, the sale price is 80% of the original price. Let p represent the original price.
Then $800 = 80% × p and p = 800/80% = 800/.80 = $1,000.
The area of one circle is four times as large as a smaller circle with a radius of 3 inches. The radius of the
larger circle is - Answers 6 inches.
The area of the circle with a radius of 3 is pr2 = p × r2 = 9p. The area of the larger circle is 4 × 9p = 36p.
Therefore, r2 = 36, so r = √36 = 6. The radius of the larger circle is 6.
A cardboard box has a length of 3 feet, height of 2½ feet, and depth of 2 feet. If the length and depth are
doubled, by what percent does the volume of the box change? - Answers 300%
B. The volume of the original box is ?. The volume of the box with the length and depth doubled is ?. The
amount of change in volume is 60 - 15 = 45. The percent change is the amount of change in volume
divided by the original volume:
On a map, 1 centimeter represents 4 miles. A distance of 10 miles would be how far apart on the map? -
Answers C. 2½ centimeters
C. The proportion ? models this situation. Cross multiply. 1 × 10 = 4x, so 10 = 4x and ?.
A radar is designed to report the track of an aircraft every second. If this radar reports 30 tracks in one
minute, what percentage of the time did the radar track the aircraft? - Answers 50%
Jerry walked a dog from 6:40am to 7:30pm one day. If he was paid at the rate of 6$ per hour, how much
did he earn that day? - Answers 5.00$
A women 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? - Answers Her
current office is square and has a perimeter of 88 ft so its sides each measure 88/4 = 22 ft. It follows that
the area of her current office = (22 ft)^2 = 484 sq. ft. Thus the area of the new office = 484 x 2 = 968 sq.
ft.
How many feet of chain fence are necessary to enclose a dog pen that is square an has an area of 64
square feet? - Answers 32
The pet store had six puppies selling for 104 each and twelve kittens selling for 24 each. Today, only two
puppies and eight kittens were left. In dollar terms, what was the ratio of sales of puppies to kittens? -
Answers 13 to 3
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? - Answers 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? - Answers 1/2 hour
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? - Answers 16 units
Each August, a restaurant's rent is adjusted to the cost of living index. The rent has been 1,550 a month,
and the cost of living index for this August was 3.7%. What is the new rent per month? - Answers
1,607.35
There are 9 red and 6 green marbles in a bag. A child reaches in the bag and randomly takes one marble.
What is the probability pf that child getting a green marble? - Answers .66
Before being painted, a concrete play area was marked off into squares and then into triangles. For the
square shown, what is the area of the triangular part labeled XYZ? - Answers 32 sq ft
If the population of a certain city increased 25% in two years, the new population was what percent of
the old? - Answers 125%
A printing press will print 6,000 copies in 20 minutes. A second press can print 15,000 in 60 minutes,
How many more copies per minute will the faster press print than the slower press? - Answers 3,000
, Debra and Ian shared in a 1,000,000$ estate. If Ian received 125,000, and Debra the rest, what fraction
of the estate did Debra receive? - Answers 7/8
Perimeter of a garden is 84, what is the area? - Answers - square has 4 sides
- 84/4= 21
- Area of a square= a^2
- 21^2= 441sq ft
A television is on sale for 20% off. If the sale price is $800, what was the original price? - Answers $1,000
If an item is discounted 20%, the sale price is 80% of the original price. Let p represent the original price.
Then $800 = 80% × p and p = 800/80% = 800/.80 = $1,000.
The area of one circle is four times as large as a smaller circle with a radius of 3 inches. The radius of the
larger circle is - Answers 6 inches.
The area of the circle with a radius of 3 is pr2 = p × r2 = 9p. The area of the larger circle is 4 × 9p = 36p.
Therefore, r2 = 36, so r = √36 = 6. The radius of the larger circle is 6.
A cardboard box has a length of 3 feet, height of 2½ feet, and depth of 2 feet. If the length and depth are
doubled, by what percent does the volume of the box change? - Answers 300%
B. The volume of the original box is ?. The volume of the box with the length and depth doubled is ?. The
amount of change in volume is 60 - 15 = 45. The percent change is the amount of change in volume
divided by the original volume:
On a map, 1 centimeter represents 4 miles. A distance of 10 miles would be how far apart on the map? -
Answers C. 2½ centimeters
C. The proportion ? models this situation. Cross multiply. 1 × 10 = 4x, so 10 = 4x and ?.
