AFOQT Arithmetic Reasoning (Form T) -Word
Problems And Solutions
1. An athlete jogs 15 Laps around a circular track. If the total distance
jogged is 3 kilometers, what is the distance around the track? ✔️Ans - 3
kilometers= 3,000 meters; 3,000 /15 Laps= 200 meters per lap
2. The floor area in an Air Force warehouse measures 200x200 feet. What
is the safe floor load if the max weight of the floor area can hold is 4,000
tons? ✔️Ans - 200 pounds per sq. feet=8,000pounds/40,000 sq. feet
3. A crate containing a tool weighs 13 pounds. If the tool weighs 9 pounds,
9 ounces, how much does the crate weigh? ✔️Ans - 2 pounds, 7
ounces= We know the crate weighs 12 pounds and 12 pounds equals 11
pounds, 16 ounces. The weight of the tool is 9 pounds, 9 ounces. So 11
pounds, 16 ounces minus 9 ounces equals 2 pounds, 7 ounces
4. Assume that the U.S Mint produces one million nickels a month. The total
value of the nickels produced during the year is ✔️Ans - 600,00
Nickels= One million nickels per month equals 12 million nickels each year,
and 12,000,000 x 0.05= $600,000
5. In order to check on a shipment of 500 articles, a sampling of 50 articles
was carefully inspected. Of the sample, 4 articles were found to be
defective. On this basis, what is the probable percentage if defective articles
in the original shipment? ✔️Ans - 8 percent= The sample size is 50.
Four defects were found in the sample. The number of defective articles
divided by the sample size 4/50 tells us how much of the sample was
defective 0.08 or 8 percent.
6.There are 20 cigarettes in one pack and 10 packs of cigarettes in a carton.
A certain brand contains 12mg of tar per cigarette. How many grams of tar
are contained on one carton of these cigarettes? (1 gram= 1,000
milligrams) ✔️Ans - 2.4 grams=There are 200 cigarettes in a carton
( 20 cigarettes x 10 packs), a full carton of 200 cigarettes contains 2,400 mg
of tar (12mg x 200 cigarettes). 2,400 mg equals 2.4 grams
, 7. Assume that it takes an average of 3 man hours to stack 1 ton of a
particular item. In order to stack 36 tons in 6 hours, the number of people
required is ✔️Ans - 18 people=To stack 36 tons of the item, it takes 108
man hours (36 x 3). It takes 18 persons to get that much work done in 6
hours (108/6=18)
8.Two office workers have been assigned to address 750 envelopes. One
addresses twice as many envelopes per hour as the other. If it takes 5 hours
for them to complete the job, what is the rate of the slower worker?
✔️Ans - 50= Let x equal the number of envelopes addresses in 1 hour by
the slower worker. Let 2x equal the number of envelopes addressed by
faster worker. Together, they address 3x envelopes in an hour.
3x • 5= 750
750/5
3x=150
150/3x
x= 50
9. A room measuring 15 feet wide, 25 feet long, and 12 feet high is
scheduled to be painted shortly. There are two windows in the room, each
7 ft by 5 ft, and a glass door, 6 ft x 4 ft, then the area of the wall space to be
painted measures ✔️Ans - 866 square feet= Find the total area of the
walls; then subtract the area taken by the windows and door.
Find the area of one long wall: 25 ft x 12 ft=300 square feet. Since there are
2 long walls, the total area of the long walls is 300 x 2= 600 sq. ft
Area of shorter wall: 15 ft x 12 ft= 180 square feet
Total area of both short walls: 180 x 2= 360 square feet
Total wall space= 600+360=960 Square feet
Windows= 7 ft x 5 ft= 35
doors= 6 ft x 4 ft= 24
35+35+24=94 square feet
960-94=866 square feet
10. A pound carton of margarine contains 4 equal sticks if margarine. The
wrapper of each stick has markings that indicate how to divide the stick
into eight sections, with each section measuring one tablespoon. If a recipe
calls for four tablespoons of margarine, the amount to use is ✔️Ans -
1/8 lbs.= Each stick of margarine is 1/4 lbs. Each stick consists of eight
sections or tablespoons are 1/2 of 1/4 pound, or 1/8 pound
Problems And Solutions
1. An athlete jogs 15 Laps around a circular track. If the total distance
jogged is 3 kilometers, what is the distance around the track? ✔️Ans - 3
kilometers= 3,000 meters; 3,000 /15 Laps= 200 meters per lap
2. The floor area in an Air Force warehouse measures 200x200 feet. What
is the safe floor load if the max weight of the floor area can hold is 4,000
tons? ✔️Ans - 200 pounds per sq. feet=8,000pounds/40,000 sq. feet
3. A crate containing a tool weighs 13 pounds. If the tool weighs 9 pounds,
9 ounces, how much does the crate weigh? ✔️Ans - 2 pounds, 7
ounces= We know the crate weighs 12 pounds and 12 pounds equals 11
pounds, 16 ounces. The weight of the tool is 9 pounds, 9 ounces. So 11
pounds, 16 ounces minus 9 ounces equals 2 pounds, 7 ounces
4. Assume that the U.S Mint produces one million nickels a month. The total
value of the nickels produced during the year is ✔️Ans - 600,00
Nickels= One million nickels per month equals 12 million nickels each year,
and 12,000,000 x 0.05= $600,000
5. In order to check on a shipment of 500 articles, a sampling of 50 articles
was carefully inspected. Of the sample, 4 articles were found to be
defective. On this basis, what is the probable percentage if defective articles
in the original shipment? ✔️Ans - 8 percent= The sample size is 50.
Four defects were found in the sample. The number of defective articles
divided by the sample size 4/50 tells us how much of the sample was
defective 0.08 or 8 percent.
6.There are 20 cigarettes in one pack and 10 packs of cigarettes in a carton.
A certain brand contains 12mg of tar per cigarette. How many grams of tar
are contained on one carton of these cigarettes? (1 gram= 1,000
milligrams) ✔️Ans - 2.4 grams=There are 200 cigarettes in a carton
( 20 cigarettes x 10 packs), a full carton of 200 cigarettes contains 2,400 mg
of tar (12mg x 200 cigarettes). 2,400 mg equals 2.4 grams
, 7. Assume that it takes an average of 3 man hours to stack 1 ton of a
particular item. In order to stack 36 tons in 6 hours, the number of people
required is ✔️Ans - 18 people=To stack 36 tons of the item, it takes 108
man hours (36 x 3). It takes 18 persons to get that much work done in 6
hours (108/6=18)
8.Two office workers have been assigned to address 750 envelopes. One
addresses twice as many envelopes per hour as the other. If it takes 5 hours
for them to complete the job, what is the rate of the slower worker?
✔️Ans - 50= Let x equal the number of envelopes addresses in 1 hour by
the slower worker. Let 2x equal the number of envelopes addressed by
faster worker. Together, they address 3x envelopes in an hour.
3x • 5= 750
750/5
3x=150
150/3x
x= 50
9. A room measuring 15 feet wide, 25 feet long, and 12 feet high is
scheduled to be painted shortly. There are two windows in the room, each
7 ft by 5 ft, and a glass door, 6 ft x 4 ft, then the area of the wall space to be
painted measures ✔️Ans - 866 square feet= Find the total area of the
walls; then subtract the area taken by the windows and door.
Find the area of one long wall: 25 ft x 12 ft=300 square feet. Since there are
2 long walls, the total area of the long walls is 300 x 2= 600 sq. ft
Area of shorter wall: 15 ft x 12 ft= 180 square feet
Total area of both short walls: 180 x 2= 360 square feet
Total wall space= 600+360=960 Square feet
Windows= 7 ft x 5 ft= 35
doors= 6 ft x 4 ft= 24
35+35+24=94 square feet
960-94=866 square feet
10. A pound carton of margarine contains 4 equal sticks if margarine. The
wrapper of each stick has markings that indicate how to divide the stick
into eight sections, with each section measuring one tablespoon. If a recipe
calls for four tablespoons of margarine, the amount to use is ✔️Ans -
1/8 lbs.= Each stick of margarine is 1/4 lbs. Each stick consists of eight
sections or tablespoons are 1/2 of 1/4 pound, or 1/8 pound
