OAR Exam Questions with 100% Correct Answers Latest Graded A+
Question:
16 ounces
Answer:
1 pound
Question:
8 pints
Answer:
1 gallon
Question:
4 quarts
Answer:
1 gallon
Question:
2000 lbs
Answer:
1 ton
Question:
Supplemental angle
Answer:
adds up to 180 degrees
Question:
Complementary angle
Answer:
adds up to 90 degrees
,Question:
If 3 times x exceeds 1/3 of y by 9, which of the following is the equation that shows the relationship
between x and y?
Answer:
3x-1/3*y=9
Question:
Questions about how fast people can do a job together?If the first painter can do the entire job in
twelve hours and the second painter can do it in eight hours, then (this here is the trick!) the first
guy can do 1/12 of the job per hour, and the second guy can do 1/8 per hour. How much then can
they do per hour if they work together?
Answer:
Take each number of hours and use 1/x amount of hours.
Example: To find out how much they can do together per hour, I add together what they can do
individually per hour: 1/12 + 1/8 = 5/24.They can do 5/24 of the job per hour. Now I'll let "t" stand
for how long they take to do the job together. Then they can do 1/t per hour, so 5/24 = 1/t. Flip the
equation, and you get that t = 24/5 = 4.8 hours.
1/12 + 1/8 = 1/t
5/24 = 1/t
24/5 = t
=4.8 hours
Question:
One pipe can fill a pool 1.25 times faster than a second pipe. When both pipes are opened, they fill
the pool in five hours. How long would it take to fill the pool if only the slower pipe is used?
Answer:
hours to complete job:
fast pipe: f
slow pipe: 1.25f
together: 5
, completed per hour:
fast pipe: 1/f
slow pipe: 1/1.25f
together: 1/5
adding their labor:
1/f + 1/1.25f = 1/5
multiplying through by 5f:
5 + 5/1.25 = f
5+4=f=9
Then 1.25f = 11.25, so the slower pipe takes 11.25 hours.
Question:
How much pure acid must be added to 12 ounces of a 40% acid solution in order to produce a 60%
acid solution?
Answer:
P1*V1 + P2*V2 = P3*V3
P1*V1 would be X*1
P2*V2 is volume of first*percentage of first
P3*V3 = (X+volume of first solution)*volume of final
solve for X
100x + 480 = 60(12+x), x=6
Question:
A can complete a project in 20 days and B can complete the same project in 30 days. If A and B
start working on the project together and A quits 10 days before the project is completed, in how
many days will the project be completed?
Answer:
Therefore, A would have completed x-10/20
th of the project and B would have completed x/30
Question:
16 ounces
Answer:
1 pound
Question:
8 pints
Answer:
1 gallon
Question:
4 quarts
Answer:
1 gallon
Question:
2000 lbs
Answer:
1 ton
Question:
Supplemental angle
Answer:
adds up to 180 degrees
Question:
Complementary angle
Answer:
adds up to 90 degrees
,Question:
If 3 times x exceeds 1/3 of y by 9, which of the following is the equation that shows the relationship
between x and y?
Answer:
3x-1/3*y=9
Question:
Questions about how fast people can do a job together?If the first painter can do the entire job in
twelve hours and the second painter can do it in eight hours, then (this here is the trick!) the first
guy can do 1/12 of the job per hour, and the second guy can do 1/8 per hour. How much then can
they do per hour if they work together?
Answer:
Take each number of hours and use 1/x amount of hours.
Example: To find out how much they can do together per hour, I add together what they can do
individually per hour: 1/12 + 1/8 = 5/24.They can do 5/24 of the job per hour. Now I'll let "t" stand
for how long they take to do the job together. Then they can do 1/t per hour, so 5/24 = 1/t. Flip the
equation, and you get that t = 24/5 = 4.8 hours.
1/12 + 1/8 = 1/t
5/24 = 1/t
24/5 = t
=4.8 hours
Question:
One pipe can fill a pool 1.25 times faster than a second pipe. When both pipes are opened, they fill
the pool in five hours. How long would it take to fill the pool if only the slower pipe is used?
Answer:
hours to complete job:
fast pipe: f
slow pipe: 1.25f
together: 5
, completed per hour:
fast pipe: 1/f
slow pipe: 1/1.25f
together: 1/5
adding their labor:
1/f + 1/1.25f = 1/5
multiplying through by 5f:
5 + 5/1.25 = f
5+4=f=9
Then 1.25f = 11.25, so the slower pipe takes 11.25 hours.
Question:
How much pure acid must be added to 12 ounces of a 40% acid solution in order to produce a 60%
acid solution?
Answer:
P1*V1 + P2*V2 = P3*V3
P1*V1 would be X*1
P2*V2 is volume of first*percentage of first
P3*V3 = (X+volume of first solution)*volume of final
solve for X
100x + 480 = 60(12+x), x=6
Question:
A can complete a project in 20 days and B can complete the same project in 30 days. If A and B
start working on the project together and A quits 10 days before the project is completed, in how
many days will the project be completed?
Answer:
Therefore, A would have completed x-10/20
th of the project and B would have completed x/30
