AFCT Arithmetic Reasoning Exam
Questions and Answers
a) 81 shares
The correct answer is A. 8% of 75 = 6 shares; 75 shares + 6 shares = 81 shares -
ANSWER-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?
b) 9 hours, 20 minutes
The correct answer is B. 28 miles ÷ 3 mph = 9.33 hrs. = 913hrs.=9hrs.20mins. -
ANSWER-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?
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. - ANSWER-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?
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 - ANSWER-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?
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 - ANSWER-A dealer bought some bicycles for $4,000. He sold them
for $6,200, making $50 on each bicycle. How many bicycles were there?
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) - ANSWER-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?
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. - ANSWER-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
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 - ANSWER-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
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 - ANSWER-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?
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. - ANSWER-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?
c)
11 p.m.
Questions and Answers
a) 81 shares
The correct answer is A. 8% of 75 = 6 shares; 75 shares + 6 shares = 81 shares -
ANSWER-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?
b) 9 hours, 20 minutes
The correct answer is B. 28 miles ÷ 3 mph = 9.33 hrs. = 913hrs.=9hrs.20mins. -
ANSWER-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?
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. - ANSWER-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?
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 - ANSWER-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?
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 - ANSWER-A dealer bought some bicycles for $4,000. He sold them
for $6,200, making $50 on each bicycle. How many bicycles were there?
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) - ANSWER-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?
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. - ANSWER-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
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 - ANSWER-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
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 - ANSWER-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?
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. - ANSWER-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?
c)
11 p.m.
