ASVAB Arithmetic Reasoning Flashcards
Study questions related to Arithmetic Reasoning and how to apply them when reading sentences.
A store is having a 25% off sale on all items. If a customer wants to buy a shirt that normally costs $50, how much will they pay after the discount is applied?
The customer will pay $37.50 after the discount is applied.
To calculate this, you would first calculate the amount of the discount: $50 * 0.25 = $12.50 (0.25 is equal to 25%). Then, you would subtract the amount of the discount from the original price to get the final price: $50 - $12.50 = $37.50.
A gardener charges $25 per hour for their services. If a customer wants them to work for 6 hours, how much will they need to pay in total?
The customer will need to pay $150 in total.
To calculate this, you would simply multiply the hourly rate by the number of hours: $25 * 6 hours = $150.
You have to be to work at 9AM, if you live 60 miles away and travel at 30 MPH, what is the latest you can leave to arrive at work on time?
The correct answer is 7AM
In this question we are attempting to see the latest we could leave to arrive to work on time. Considering we need to be at work by 9AM and we can only drive at a speed of 30 MPH and need to travel a total of 60 miles we can solve this by simply dividing the our speed against the total distance so:
60 / 30 = 2
Giving us 2 hours to make this trip, now we just need to backtrack our time by this amount so:
9AM -> 8AM -> 7AM
You would need to leave at 7AM to arrive by 9AM.
A train traveling at 60 miles per hour leaves a station and another train traveling in the same direction at 75 miles per hour leaves the station 2 hours later. How long will it take for the second train to catch up with the first train?
The answer is 8 hours.
At the end of the first two hours, the first train has traveled 60 x 2 = 120 miles and the second train has traveled 0 miles. The difference in distance covered by the two trains is 120 miles.
So the equation should be:
60t = 75t - 120
Solving for t, we get:
t = 120 / (75 - 60) = 120 / 15 = 8 hours
So it will take the second train 8 hours to catch up with the first train.
If a car travels 60 miles in one hour, how many miles will it travel in 2.5 hours?
The answer is 150 miles.
To find the answer, you need to multiply the car’s speed (60 miles per hour) by the number of hours it will travel (2.5 hours). The calculation is 60 miles/hour * 2.5 hours = 150 miles.
A store is having a sale on shirts. If a shirt regularly costs $20 and is now on sale for $15, what is the percentage discount on the shirt?
The answer is 25%.
To find the answer, you need to subtract the sale price from the regular price and then divide that amount by the regular price and multiply by 100 to express the answer as a percentage. The calculation is:
$20 - $15 = $5
5 / 20 = 0.25
0.25 * 100 = 25%
A factory produces 100 widgets in 4 hours. How many widgets will the factory produce in one hour?
The answer is 25 widgets per hour.
To find the answer, you need to divide the total number of widgets produced (100 widgets) by the number of hours it took to produce them (4 hours). The calculation is 100 widgets / 4 hours = 25 widgets per hour.
A truck can carry 800 pounds of cargo. If the truck is carrying 500 pounds of cargo, how much more cargo can it carry?
The answer is 300 pounds.
To find the answer, you need to subtract the amount of cargo currently being carried (500 pounds) from the maximum amount of cargo the truck can carry (800 pounds). The calculation is 800 pounds - 500 pounds = 300 pounds.
A plumber charges $60 for a service call and $50 per hour of work. If the plumber works on a job for 3 hours, how much will the customer be charged in total?
The answer is $210.
To find the answer, you need to add the cost of the service call ($60) to the cost of the labor ($50 per hour * 3 hours = $150). The calculation is $60 + $150 = $210.
A delivery truck uses 10 gallons of fuel to travel 100 miles. How many miles will the truck travel on 50 gallons of fuel?
The answer is 500 miles.
To find the answer, you need to use the ratio of fuel consumption to distance traveled (10 gallons of fuel to travel 100 miles) to determine how far the truck will travel on 50 gallons of fuel. The calculation is:
100 miles / 10 gallons of fuel = 10
50 gallons * 10 = 500 miles
A contractor needs to buy 600 feet of fencing to enclose a rectangular area. If the length of the rectangle is three times its width, how wide is the rectangle in feet?
The width of the rectangle is 75 feet.
To find the answer, you need to use the formula for the perimeter of a rectangle (P = 2L + 2W) and the given information (L = 3W and P = 600) to solve for W. Setting up the equation gives you:
600 = 2L + 2W
600 = 2(3W) + 2W
600 = 6W + 2W
600 = 8W
W = 600 / 8
W = 75
So, the width of the rectangle is 75 feet and the length is 3 times that, or 3 * 75 = 225 feet.
A car rental company charges a daily rate of $25, plus $0.15 per mile driven. If a customer rents a car for 5 days and drives it for a total of 200 miles, how much will the rental cost?
The rental will cost $155.
To calculate this, you would first multiply the daily rate of $25 by the number of days (5) to get $125. Then, you would multiply the per-mile charge of $0.15 by the number of miles driven (200) to get $30. Finally, you would add the daily rental cost of $125 and the per-mile charge of $30 to get the total rental cost of $155.
A pizza restaurant offers a deal where customers can buy one large pizza and get a second large pizza of equal or lesser value for half price. If a large pizza costs $20, how much will two large pizzas cost with this deal?
Two large pizzas with the deal will cost $30.
To calculate this, you would first calculate the cost of the second pizza at half price: $20 / 2 = $10. Then, you would add the cost of the first pizza ($20) and the cost of the second pizza ($10) to get the total cost of two large pizzas: $20 + $10 = $30.
A plumber charges a flat fee of $50 for a service call, plus an hourly rate of $75 for any time spent working. If the plumber spends 4 hours working on a job, how much will the customer be charged for the job?
The customer will be charged $350 for the job.
To calculate this, you would first calculate the charge for the time spent working: $75 * 4 hours = $300. Then, you would add the flat fee of $50 to the charge for the time spent working to get the total cost of the job: $300 + $50 = $350.
A store is having a 20% off sale on all items. If a customer buys a $100 item, how much will the item cost with the discount?
The item will cost $80 with the discount.
To calculate this, you would first calculate the amount of the discount: $100 * 0.2 = $20 (0.2 is equal to 20%). Then, you would subtract the discount amount from the original price to get the final cost of the item: $100 - $20 = $80.
