OAR STUDY GUIDE
A 6 foot-tall farmer wants to determine the height of his barn. He notices that his
shadow is 10 feet long and his barn casts a shadow 75 feet long. How high is the barn?
30 feet
35 feet
40 feet
45 feet - answerD
On a six-sided dice, each side has a number between 1 and 6. What is the probability of
throwing a 3 or 4 ?
1 in 6
1 in 3
1 in 2
1 in 4 - answerB
A crate containing a tool weighs 12 pounds. If the tool weighs 9 pounds, 9 ounces, how
much does the crate weigh?
2 pounds, 7 ounces
2 pounds, 9 ounces
3 pounds, 3 ounces
3 pounds, 7 ounces
3 pounds, 9 ounces - answerA
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 persons required is
9
12
15
18
21 - answerD
Two office workers have been assigned to address 750 envelopes. One addresses
twice as many envelopes per hour as the other. If it takes five hours for them to
complete the job, what was the rate of the slower worker ?
50 envelopes per hour
75 envelopes per hour
100 envelopes per hour
,124 envelopes per hour
150 envelopes per hour - answerA
If there are red, green, and yellow marbles in a jar and 20% of these marbles are either
red or green, what are the chances of blindly picking a yellow marble out of the jar?
1 out of 3
1 out of 5
2 out of 3
2 out of 5
4 out of 5 - answerE
Each corridor contains 8 to 10 classrooms and each classroom contains 20 to 24
students. If all classrooms are occupied, what is the minimum number of students on
one corridor at a given time?
160
170
180
190 - answerA
A team won 25 games in a 40-game season. Find the ratio of games won to games lost.
3:5
5:3
3:8
8:3 - answerB
One recruit can complete a certain assignment in 40 minutes. Another recruit can
complete the same assignment in one hour. How long would it take to complete the
assignment if the two recruits worked together?
12 minutes
18 minutes
24 minutes
30 minutes - answerC
A naval detachment has enough rations to feed sixteen people for 10 days. If four more
people join the detachment, for how many fewer days will the rations last?
1
2
3
4 - answerB
A field can be plowed by 9 machines in 5 hours. If 3 machines are broken and cannot
be used, how many hours will it take to plow the field?
, 7 ½ hours
8 ½ hours
9 ½ hours
10 ½ hours - answerA
In a 3-hour examination of 320 questions, there are 40 mathematics problems. If twice
as much time should be allowed for each mathematics problem as for each of the other
questions, how many minutes should be spent on the mathematics problems?
40 minutes
45 minutes
50 minutes
55 minutes - answerA
Nicholas receives a basic weekly salary of $180 plus a 5% commission. In a week in
which his sales amounted to $1800, the ratio of his basic salary to his commission was
3:1
2:1
3:2
1:1
1:2 - answerB
The ratio of Democrats to Republicans in a certain state legislature is 5:7. If the
legislature has 156 members, all of whom are either Democrats or Republicans (but not
both), what is the difference between the number of Republicans and the number of
Democrats?
a. 14
b. 26
c. 35
d. 37
e. 46 - answerB
A pole 24 feet high has a shadow 8 feet long. A nearby is 72 feet high. How long is its
shadow?
16 feet
24 feet
32 feet
40 feet
56 feet - answerB
If 15 cans of food are needed for 7 adults for 2 days, the number of cans needed for 4
adults for 7 days is
A 6 foot-tall farmer wants to determine the height of his barn. He notices that his
shadow is 10 feet long and his barn casts a shadow 75 feet long. How high is the barn?
30 feet
35 feet
40 feet
45 feet - answerD
On a six-sided dice, each side has a number between 1 and 6. What is the probability of
throwing a 3 or 4 ?
1 in 6
1 in 3
1 in 2
1 in 4 - answerB
A crate containing a tool weighs 12 pounds. If the tool weighs 9 pounds, 9 ounces, how
much does the crate weigh?
2 pounds, 7 ounces
2 pounds, 9 ounces
3 pounds, 3 ounces
3 pounds, 7 ounces
3 pounds, 9 ounces - answerA
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 persons required is
9
12
15
18
21 - answerD
Two office workers have been assigned to address 750 envelopes. One addresses
twice as many envelopes per hour as the other. If it takes five hours for them to
complete the job, what was the rate of the slower worker ?
50 envelopes per hour
75 envelopes per hour
100 envelopes per hour
,124 envelopes per hour
150 envelopes per hour - answerA
If there are red, green, and yellow marbles in a jar and 20% of these marbles are either
red or green, what are the chances of blindly picking a yellow marble out of the jar?
1 out of 3
1 out of 5
2 out of 3
2 out of 5
4 out of 5 - answerE
Each corridor contains 8 to 10 classrooms and each classroom contains 20 to 24
students. If all classrooms are occupied, what is the minimum number of students on
one corridor at a given time?
160
170
180
190 - answerA
A team won 25 games in a 40-game season. Find the ratio of games won to games lost.
3:5
5:3
3:8
8:3 - answerB
One recruit can complete a certain assignment in 40 minutes. Another recruit can
complete the same assignment in one hour. How long would it take to complete the
assignment if the two recruits worked together?
12 minutes
18 minutes
24 minutes
30 minutes - answerC
A naval detachment has enough rations to feed sixteen people for 10 days. If four more
people join the detachment, for how many fewer days will the rations last?
1
2
3
4 - answerB
A field can be plowed by 9 machines in 5 hours. If 3 machines are broken and cannot
be used, how many hours will it take to plow the field?
, 7 ½ hours
8 ½ hours
9 ½ hours
10 ½ hours - answerA
In a 3-hour examination of 320 questions, there are 40 mathematics problems. If twice
as much time should be allowed for each mathematics problem as for each of the other
questions, how many minutes should be spent on the mathematics problems?
40 minutes
45 minutes
50 minutes
55 minutes - answerA
Nicholas receives a basic weekly salary of $180 plus a 5% commission. In a week in
which his sales amounted to $1800, the ratio of his basic salary to his commission was
3:1
2:1
3:2
1:1
1:2 - answerB
The ratio of Democrats to Republicans in a certain state legislature is 5:7. If the
legislature has 156 members, all of whom are either Democrats or Republicans (but not
both), what is the difference between the number of Republicans and the number of
Democrats?
a. 14
b. 26
c. 35
d. 37
e. 46 - answerB
A pole 24 feet high has a shadow 8 feet long. A nearby is 72 feet high. How long is its
shadow?
16 feet
24 feet
32 feet
40 feet
56 feet - answerB
If 15 cans of food are needed for 7 adults for 2 days, the number of cans needed for 4
adults for 7 days is
