Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

Some Math Questions from Gmatprep [#permalink]
12 Jun 2007, 17:57

If you know how to solve any of the following problems, please let me know.

1)For each of her sales, a saleswoman receives a commission equal to 20 percent of the first $500 of the total amount of the sale, plus 30 percent of the total amount of the sale in excess of $500. If the total amount of one of her sales was $800, the saleswoman's commission was approximately what percent of the total amount of the sale?

a)22%
b)24%
c)25%
d)27%
e)28%

2) The residents of Town X participated in s survey to determine the number of hours per week each resident spent watching television. The distribution of the results of the survey had a mean of 21 hours and a standard deviation of 6 hours. The number of hours that Pat, a resident of Town X, watch television last week was between 1 and 2 standard deviations below the mean. Which of the following could be the number of hours that Pat watched TV last week?

[u]Question # ![/u]
To find out that what % her total salary is to the sales we shall use the formula total salary/total sales*100. (simple % formula).
In this formula, we have total sales = 800, but dont have the total salary. To find this, we are given certain conditions. These conditions tell us that uptill the sales of 500, she will get 20% of the sales as her salary and any sales up & above 500 mark will fetch 30% of the sales. so 800=500+300.
therefore, 500*20%+300*30% = 100+90=190 shall be her total salary. So putting this information into the original formula, we get
190/800*100=23.75. Even though, we dont have any anwser choice of 23.75, the question asks us approximate value, and rounding 23.75 gives us 24. So we shall take choice b 24% which is a better approximation of 23.75% than 22%. SO the answer is B 24%
[u]Question # 2[/u]
This question is very simple if u know the concept of standard deviation. Standard deviation tells us how tightly or loosely packed a set of set of data is. One property of stadard deviation is that statisticians have found out, after studying loads of data and variables that data follow a symmetrical pattern. The pattern is that majority of the data points are located around the mean position and as u move away from the mean position, the data points become more and more scarce. This distribution of data points also follows a simple pattern. majority of data lies in the first standard deviation range(means if u add and subtract the standard deviation from the mean, u get the first standard deviation region). lesser data is found between 1st and 2nd s.d. (means u sbtract and add s.d. from 1 s.d. range) and only about 1% od data lies beyond 3rd s.d.
Now, if i have made clear it to u, u can see that from the question, the statement has given u both mean and s.d. and have asked u what figure lies between 1st and 2nd standard deviation.
The mean is 21 and s.d. is 6. so first s.d. range would be 21+-6 i.e., 15-27, the 2nd s.d. range would be 15-6 and 27+6.which would be 9-15 and 27-33. as the question has already stated that "below the mena" so v are not concerned with any value above the mean. so the answer should be between 9 & 15. only one answer choice lies in this range which is d=12.
so the answer is d, 12.
Hope this helps.

Hey everyone, today’s post focuses on the interview process. As I get ready for interviews at Kellogg and Tuck (and TheEngineerMBA ramps up for his HBS... ...

I got invited to interview at Sloan! The date is October 31st. So, with my Kellogg interview scheduled for this Wednesday morning, and my MIT Sloan interview scheduled...