AFCT Arithmetic Reasoning Test
Questions With Answers [Distinction
Guaranteed]
A man owned 75 shares of stock worth $50 each. The corporation declared a dividend
of 8%, payable in stock. How many shares did he then own? - Answer - a) 81 shares
The correct answer is A. 8% of 75 = 6 shares; 75 shares + 6 shares = 81 shares
If a scow is towed at the rate of 3 miles an hour, how many hours will be needed to tow
the scow 28 miles? - Answer - b) 9 hours, 20 minutes
The correct answer is B. 28 miles ÷ 3 mph = 9.33 hrs. = 913hrs.=9hrs.20mins.
Fifteen dozen eggs were needed for baking four wedding cakes. The first cake needed
one dozen eggs, and each successive cake needed twice as many eggs as the
previous cake. How many eggs were used to make the fourth cake? - Answer - c) 96
The correct answer is C.
1st Cake = 1(12),
2nd Cake = 2(12),
3rd Cake = 4(12),
4th Cake = 8(12).
The 4th cake will require 8(12) = 96 eggs.
The local high school had 1,000 bottles of water on hand. The school issued 1/4 of the
supply to the 9th grade, 1/5 of the supply to the 10th grade, and 2/5 of the supply to the
11th grade. How many bottles remained for the 12th grade? - Answer - d) 150
The correct answer is D.
1,000 1/4 + 1,000 1/5 + 1,000 2/5
250 + 200 + 400 = 850
So, 1,000-850=150 bottles
A dealer bought some bicycles for $4,000. He sold them for $6,200, making $50 on
each bicycle. How many bicycles were there? - Answer - d) 44
The correct answer is D.
$6,200 - $4,000 = $2,200 is the amount he made. $2,200 ÷ $50 (profit on each bicycle)
= 44 bicycles sold
Many American cars feature speedometers that show kilometers per hour. If you are
required to drive 500 miles, and you know that one kilometer is approximately 5/8 of a
mile, how many kilometers would you cover in that journey? - Answer - b) 800
The correct answer is B. To find how many kilometers are in 500 miles, divide 500 miles
by 5/8 (the ratio of miles to kilometers). 5001÷5/8=5001×8/5=800 kilometers.
(1 mile = 1.609)
Six gross of special drawing pencils were purchased for use in a department. If the
pencils were used at the rate of 24 a week, the maximum number of weeks that the 6
gross of pencils would last is - Answer - d)
, AFCT Arithmetic Reasoning Test
Questions With Answers [Distinction
Guaranteed]
36 weeks
The correct answer is D. There are 144 pencils in a gross; 144 × 6 = 864 pencils in all.
864 ÷ 24 = 36 weeks' worth of pencils.
A stock clerk had 600 pads on hand. He then issued 3/8 of his supply of pads to
Division X, 1/4 to Division Y, and 1/6 to Division Z. The number of pads remaining in
stock is - Answer - c) 125
The correct answer is C.
First, consider that the question describes each fraction, as a fraction of the original
total. This means that we can apply each fraction to the total, then subtract these three
numbers from the total to get the remaining number of pads in stock.
3/8 of 600 is 225.
1/4 of 600 is 150.
1/6 of 600 is 100.
225 + 150 + 100 = 475
475 - 600 = 125
During a sale, CDs that normally cost $6.98 each were priced at 2 for $12.50. Pete
bought 4 CDs at the sale price. How much money did he save by buying the 4 CDs on
sale? - Answer - b)
$2.92
The correct answer is B. The regular cost of 4 CDs was $6.98 × 4 = $27.92. The sale
price of 4 CDs was $12.50 × 2 = $25. $27.92 - $25 = $2.92
At the grocery store, boxes of coffee that normally cost $6.99 each were priced at 2 for
$8.50. Jack bought 4 boxes at the sale price. How much money did he save by buying
the 4 boxes of coffee on sale? - Answer - a)
$10.96
The correct answer is A. Coffee on sale is 2 for $8.50, so each cost $4.25. $4.25 × 4 =
$17.00.
The non-sale price is $6.99 × 4 = $27.96. So, $27.96 - $17.00 = $10.96.
Two sailors traveled by bus from one point to another. The trip took 15 hours, and they
left their point of origin at 8 a.m. What time did they arrive at their destination? - Answer
- c)
11 p.m.
The correct answer is C. 8 a.m. + 15 hours = 23 o'clock = 11 p.m
A team won 8 of the 24 games it played in one season. What percent of the games did
it win? - Answer - b)
Questions With Answers [Distinction
Guaranteed]
A man owned 75 shares of stock worth $50 each. The corporation declared a dividend
of 8%, payable in stock. How many shares did he then own? - Answer - a) 81 shares
The correct answer is A. 8% of 75 = 6 shares; 75 shares + 6 shares = 81 shares
If a scow is towed at the rate of 3 miles an hour, how many hours will be needed to tow
the scow 28 miles? - Answer - b) 9 hours, 20 minutes
The correct answer is B. 28 miles ÷ 3 mph = 9.33 hrs. = 913hrs.=9hrs.20mins.
Fifteen dozen eggs were needed for baking four wedding cakes. The first cake needed
one dozen eggs, and each successive cake needed twice as many eggs as the
previous cake. How many eggs were used to make the fourth cake? - Answer - c) 96
The correct answer is C.
1st Cake = 1(12),
2nd Cake = 2(12),
3rd Cake = 4(12),
4th Cake = 8(12).
The 4th cake will require 8(12) = 96 eggs.
The local high school had 1,000 bottles of water on hand. The school issued 1/4 of the
supply to the 9th grade, 1/5 of the supply to the 10th grade, and 2/5 of the supply to the
11th grade. How many bottles remained for the 12th grade? - Answer - d) 150
The correct answer is D.
1,000 1/4 + 1,000 1/5 + 1,000 2/5
250 + 200 + 400 = 850
So, 1,000-850=150 bottles
A dealer bought some bicycles for $4,000. He sold them for $6,200, making $50 on
each bicycle. How many bicycles were there? - Answer - d) 44
The correct answer is D.
$6,200 - $4,000 = $2,200 is the amount he made. $2,200 ÷ $50 (profit on each bicycle)
= 44 bicycles sold
Many American cars feature speedometers that show kilometers per hour. If you are
required to drive 500 miles, and you know that one kilometer is approximately 5/8 of a
mile, how many kilometers would you cover in that journey? - Answer - b) 800
The correct answer is B. To find how many kilometers are in 500 miles, divide 500 miles
by 5/8 (the ratio of miles to kilometers). 5001÷5/8=5001×8/5=800 kilometers.
(1 mile = 1.609)
Six gross of special drawing pencils were purchased for use in a department. If the
pencils were used at the rate of 24 a week, the maximum number of weeks that the 6
gross of pencils would last is - Answer - d)
, AFCT Arithmetic Reasoning Test
Questions With Answers [Distinction
Guaranteed]
36 weeks
The correct answer is D. There are 144 pencils in a gross; 144 × 6 = 864 pencils in all.
864 ÷ 24 = 36 weeks' worth of pencils.
A stock clerk had 600 pads on hand. He then issued 3/8 of his supply of pads to
Division X, 1/4 to Division Y, and 1/6 to Division Z. The number of pads remaining in
stock is - Answer - c) 125
The correct answer is C.
First, consider that the question describes each fraction, as a fraction of the original
total. This means that we can apply each fraction to the total, then subtract these three
numbers from the total to get the remaining number of pads in stock.
3/8 of 600 is 225.
1/4 of 600 is 150.
1/6 of 600 is 100.
225 + 150 + 100 = 475
475 - 600 = 125
During a sale, CDs that normally cost $6.98 each were priced at 2 for $12.50. Pete
bought 4 CDs at the sale price. How much money did he save by buying the 4 CDs on
sale? - Answer - b)
$2.92
The correct answer is B. The regular cost of 4 CDs was $6.98 × 4 = $27.92. The sale
price of 4 CDs was $12.50 × 2 = $25. $27.92 - $25 = $2.92
At the grocery store, boxes of coffee that normally cost $6.99 each were priced at 2 for
$8.50. Jack bought 4 boxes at the sale price. How much money did he save by buying
the 4 boxes of coffee on sale? - Answer - a)
$10.96
The correct answer is A. Coffee on sale is 2 for $8.50, so each cost $4.25. $4.25 × 4 =
$17.00.
The non-sale price is $6.99 × 4 = $27.96. So, $27.96 - $17.00 = $10.96.
Two sailors traveled by bus from one point to another. The trip took 15 hours, and they
left their point of origin at 8 a.m. What time did they arrive at their destination? - Answer
- c)
11 p.m.
The correct answer is C. 8 a.m. + 15 hours = 23 o'clock = 11 p.m
A team won 8 of the 24 games it played in one season. What percent of the games did
it win? - Answer - b)
