All GMAT Math Resources
Example Questions
Example Question #108 : Arithmetic
Ten students in a class of students have a learning disability. What is the percentage of students who do not have a learning disability in the class?
The number of students who don't have a learning disability is:
Using part over whole we get the percentage of students who don't have a learning disability as:
Example Question #109 : Arithmetic
You bought worth of a stock two years ago. After the first year, the value of the stock decreased by an average . During the second year, the value of the stock increased by an average . What is the value of your investment today?
The value of the stock after the first year is 90% (0.9) of the value of the stock at time 0.
The value of the stock after the second year is 125% (1.25) of the value of the stock at the end of the first year.
The value of the investment today is:
Example Question #1661 : Gmat Quantitative Reasoning
Rob, Tim, and Peggy are the three managers at a local restaurant. Peggy's salary is less than Tim's salary. Tim's salary is less than Rob's salary. What percent of Rob's salary is Peggy's salary?
Let be Rob's salary.
Then, since Tim's salary is 10% less than Rob's salary, we can write Tim's salary as .
Since Peggy's salary is 20% less than Tim's salary, we can write Peggy's salary as .
Peggy's salary is 72% of Rob's salary as we can write:
Peggy salary/ Rob salary =
Making the answer into a percent we get,
.
Example Question #111 : Arithmetic
The percentage of accountants at a company that has 10,000 employees dropped from at the end of last year to at the end of this year. If the number of employees at the end of this year is 9,500, what is the approximate change in the number of accountants over this period?
The number of accountants at the end of last year is:
The number of accountants at the end of this year is:
The approximate change in the number of accountants from the end of last year to the end of this year is:
There was a 43% decrease in the number of accountants over this period.
Example Question #31 : Percents
There are registered students in the math club. Students are deciding what activity they could do for their end of semester event. They have three choices: rock climbing, bowling, or outdoor laser tag. students vote for rock climbing, students vote for bowling, and students vote for outdoor laser tag.
What percent of students did not vote?
The number of students who did not vote is:
The percent of students who did not vote is therefore:
of the students did not vote.
Example Question #35 : Percents
is of , which is of . All three are positive integers. In which range does the smallest possible value of fall?
From to inclusive
From to inclusive
From to inclusive
From to inclusive
From to inclusive
From to inclusive
is of , so .
is of , so .
For to be an integer, must be a multiple of . Therefore, the smallest positive integer value of is itself; is of is , and is of , or .
Add these to get
The correct response is thus "From 31 to 40 inclusive."
Example Question #112 : Arithmetic
is of and of ; all are positive integers. Give the smallest possible value of .
is of and of , so
and .
Equivalently, and
must be the least possible number divisible by both and , so
.
Example Question #113 : Arithmetic
is of . Which of the following expressions is equal to ?
None of the other responses is correct.
If is of , then .
Equivalently,
Example Question #31 : Calculating Percents
A randomly selected study sample includes women. Of all the women in the sample, have an income greater than . What is the percentage of women in the sample who have an income greater than ?
Not enough information
The percentage of women who have an income greater than in the sample is simply the product of the percentage of women in the sample and the percentage of these women who earn more than .
The percentage of women who earn more than in the sample is .
Or, we could assume there are people in the sample. The number of women in the sample would then be . And the number of women who earn more than in the sample would be .
The percentage of women who earn more than in the sample is .
Let's verify this answer by taking another sample size, let's say there are people in the sample.
The number of women who earn more than in the sample would then be .
The percentage of women who earn more than in the sample is .
We still get the same result because the number of people in the sample is not necessary to find that percentage since we are given the percentage of women in the sample and the percentage of these women in the sample who earn more than .
Example Question #115 : Arithmetic
of the adults in a certain city are unemployed, and of the adults in the city are unemployed women. What percent of the unemployed adults in that city are men?
Assume there are adults in the city. of these adults are unemployed, which means the number of unemployed adults is given there are adults. Also, of the adults in the city are unemployed women, so the number of unemployed adult women in the city is . We can then find the number of unemployed adult men in that city, which is .
At this point, we can calculate the percentage of unemployed adults in the city who are men:
of the unemployed adults in that city are men.