AFCT Arithmetic Reasoning Study Exam
Questions & Answers.
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? - CORRECT 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? - CORRECT 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? - CORRECT 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? - CORRECT 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? - CORRECT 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? - CORRECT 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 - CORRECT
ANSWER d)
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 - CORRECT 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? - CORRECT ANSWER b)
$2.92
Questions & Answers.
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? - CORRECT 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? - CORRECT 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? - CORRECT 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? - CORRECT 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? - CORRECT 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? - CORRECT 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 - CORRECT
ANSWER d)
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 - CORRECT 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? - CORRECT ANSWER b)
$2.92
