GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 14 Dec 2019, 22:30

### GMAT Club Daily Prep

#### 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

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.

 new topic post reply Update application status
Author Message
Veritas Prep Representative
Joined: 21 Jan 2010
Posts: 91

### Show Tags

06 Mar 2015, 11:00
ForumBlogs - GMAT Club’s latest feature blends timely Blog entries with forum discussions. Now GMAT Club Forums incorporate all relevant information from Student, Admissions blogs, Twitter, and other sources in one place. You no longer have to check and follow dozens of blogs, just subscribe to the relevant topics and forums on GMAT club or follow the posters and you will get email notifications when something new is posted. Add your blog to the list! and be featured to over 300,000 unique monthly visitors

_________________
Veritas Prep Representative
Joined: 21 Jan 2010
Posts: 91
GMAT Tip of the Week: LLC Reasoning  [#permalink]

### Show Tags

06 Mar 2015, 18:00
ForumBlogs - GMAT Club’s latest feature blends timely Blog entries with forum discussions. Now GMAT Club Forums incorporate all relevant information from Student, Admissions blogs, Twitter, and other sources in one place. You no longer have to check and follow dozens of blogs, just subscribe to the relevant topics and forums on GMAT club or follow the posters and you will get email notifications when something new is posted. Add your blog to the list! and be featured to over 300,000 unique monthly visitors

_________________
Veritas Prep Representative
Joined: 21 Jan 2010
Posts: 91

### Show Tags

09 Mar 2015, 10:00
 FROM Veritas Prep Admissions Blog: Functions on GMAT Let’s discuss how to handle functions today. People usually perceive functions as an advanced topic mainly because of the notation. But actually, the function questions are very simplistic and can be solved with a simple process. If we ask you the value of 5x^3 where x = 3, would you be worried about what to do? We assume you won’t be. Then there should be no problem with “given f(x) = 5x^3, what is the value of f(3)?”Just keep a few simple things in mind:– f(x) = …. will be followed by an expression in x. This is the core of your calculations. You can turn a blind eye to f(x) – just focus on the expression. For example: f(x) = (x^2+1)/5x. Keep your eye on (x^2+1)/5x.– When faced with “what is f(a)?” all you have to do is recall the expression given and put x = a in that. It doesn’t matter what a is – wherever you have x, just put ‘a’ there. For example: if f(x) = (x^2+1)/5x, what is f(5x^3)? Don’t get confused. Here, a = 5x^3. Look for x in the expression and put 5x^3 in its place.f(5x^3) = ((5x^3)^2+1)/5(5x^3)If you seem to be getting lost in too many exponents, terms etc, in place of x, put 5x^3 and put brackets around it as done above. Then simplify by opening the brackets.f(5x^3) = (25x^6+1)/25x^3– When we are given that f(a) = B, put x = a in the expression and equate the whole expression to B. For example: f(x) = (x^2+1)/5x, given that f(a) = 2/5, what is the value of a?We know how to find f(a). It is simply (a^2+1)/5a. We are given that this is 2/5.(a^2+1)/5a = 2/5a^2 + 1 = 2aa^2 – 2a + 1 = 0(a – 1)^2 = 0a = 1That is pretty much all you need. Let’s look at a GMAT Prep question on functions.Question: For which of the following functions f is f(x) = f(1-x) for all x?(A) f(x) = 1 – x(B) f(x) = 1 – x^2(C) f(x) = x^2 – (1 – x)^2(D) f(x) = x^2*(1 – x)^2(E) f(x) = x/(1 – x)Solution: What does this mean: f(x) = f(1-x)? It means that given a certain expression in x called f(x), for which function will that be the same as f(1-x) i.e. when you substitute x by (1-x), which expression will stay the same? Let’s look at each option:(A) f(x) = 1 – xSubstitute (1 – x) in place of x to see what f(1 – x) looks like.f(1 – x) = 1 – (1 – x)f(1 – x) = xf(x) is not the same as f(1-x) here. Ignore this option.(B) f(x) = 1 – x^2Substitute (1 – x) in place of x to see what f(1 – x) looks like.f(1 – x) = 1 – (1 – x)^2f(1 – x) = 2x – x^2f(x) is not the same as f(1-x) here. Ignore this option.(C) f(x) = x^2 – (1 – x)^2Substitute (1 – x) in place of x to see what f(1 – x) looks like.f(1 – x) = (1 – x)^2 – (1 – (1-x))^2f(1 – x) = (1 – x)^2 – x^2f(1 – x) = -x^2 + (1 – x)^2f(x) is not the same as f(1-x) here. Ignore this option.(D) f(x) = x^2*(1 – x)^2Substitute (1 – x) in place of x to see what f(1 – x) looks like.f(1 – x) = (1 – x)^2 * (1 – (1 – x))^2f(1 – x) = (1 – x)^2 * x^2f(1 – x) = x^2 * (1 – x)^2Note that here, f(x) = f(1 – x), so this must be our answer. Still, let’s take a look at (E) as well for practice.(E) f(x) = x/(1 – x)Substitute (1 – x) in place of x to see what f(1 – x) looks like.f(1 – x) = (1 – x)/(1 – (1-x))f(1 – x) = (1 – x)/xf(x) is not the same as f(1-x). Ignore this option.Answer (D)A cursory look back at the solution might make you feel that it involves some complicated manipulations but we hope you do see that it is anything but complicated. Now there are some other ways of handling this question too. If you are comfortable with the above, continue with the rest of the post.Method 2: Number PluggingWe want the expression for which f(x) = f(1 – x) for ALL values of x. So no matter what value we give x, f(x) should be same as f(1 – x).Say, if x = 0, for which function is f(x) = f(1 –x )? i.e. for which function is f(0) = f(1)(A) f(x) = 1 – xf(0) = 1 and f(1) = 0. Not equal.(B) f(x) = 1 – x^2f(0) = 1 and f(1) = 0. Not equal.(C) f(x) = x^2 – (1 – x)^2f(0) = -1 and f(1) = 1. Not equal.(D) f(x) = x^2*(1 – x)^2f(0) = 0 and f(1) = 0. Equal. But when using number plugging, you need to check all options because multiple options could give you equal values. In that case, you would need to try for another value of x.(E) f(x) = x/(1 – x)f(0) = 0 and f(1) is not defined. Just to be sure, say x = -1.f(-1) = -1/2 and f(2) = -2. Not equal.Answer (D)Method 3: Intuitive ApproachTry to first focus on the options where terms are added/multiplied rather than subtracted/divided. They are more symmetrical and a substitution may not change the expression. Intuitively, we should check (D) first since it involves multiplication of the terms.Karishma, a Computer Engineer with a keen interest in alternative Mathematical approaches, has mentored students in the continents of Asia, Europe and North America. She teaches the GMAT for Veritas Prep and regularly participates in content development projects such as this blog!
ForumBlogs - GMAT Club’s latest feature blends timely Blog entries with forum discussions. Now GMAT Club Forums incorporate all relevant information from Student, Admissions blogs, Twitter, and other sources in one place. You no longer have to check and follow dozens of blogs, just subscribe to the relevant topics and forums on GMAT club or follow the posters and you will get email notifications when something new is posted. Add your blog to the list! and be featured to over 300,000 unique monthly visitors

_________________
Veritas Prep Representative
Joined: 21 Jan 2010
Posts: 91
The Art of Showing Up  [#permalink]

### Show Tags

09 Mar 2015, 14:00
ForumBlogs - GMAT Club’s latest feature blends timely Blog entries with forum discussions. Now GMAT Club Forums incorporate all relevant information from Student, Admissions blogs, Twitter, and other sources in one place. You no longer have to check and follow dozens of blogs, just subscribe to the relevant topics and forums on GMAT club or follow the posters and you will get email notifications when something new is posted. Add your blog to the list! and be featured to over 300,000 unique monthly visitors

_________________
Veritas Prep Representative
Joined: 21 Jan 2010
Posts: 91
Full Time MBA vs. Executive MBA: Which Program is the Best Fit for You  [#permalink]

### Show Tags

10 Mar 2015, 12:00
ForumBlogs - GMAT Club’s latest feature blends timely Blog entries with forum discussions. Now GMAT Club Forums incorporate all relevant information from Student, Admissions blogs, Twitter, and other sources in one place. You no longer have to check and follow dozens of blogs, just subscribe to the relevant topics and forums on GMAT club or follow the posters and you will get email notifications when something new is posted. Add your blog to the list! and be featured to over 300,000 unique monthly visitors

_________________
Veritas Prep Representative
Joined: 21 Jan 2010
Posts: 91

### Show Tags

11 Mar 2015, 09:01
ForumBlogs - GMAT Club’s latest feature blends timely Blog entries with forum discussions. Now GMAT Club Forums incorporate all relevant information from Student, Admissions blogs, Twitter, and other sources in one place. You no longer have to check and follow dozens of blogs, just subscribe to the relevant topics and forums on GMAT club or follow the posters and you will get email notifications when something new is posted. Add your blog to the list! and be featured to over 300,000 unique monthly visitors

_________________
Veritas Prep Representative
Joined: 21 Jan 2010
Posts: 91

### Show Tags

11 Mar 2015, 10:00
ForumBlogs - GMAT Club’s latest feature blends timely Blog entries with forum discussions. Now GMAT Club Forums incorporate all relevant information from Student, Admissions blogs, Twitter, and other sources in one place. You no longer have to check and follow dozens of blogs, just subscribe to the relevant topics and forums on GMAT club or follow the posters and you will get email notifications when something new is posted. Add your blog to the list! and be featured to over 300,000 unique monthly visitors

_________________
Veritas Prep Representative
Joined: 21 Jan 2010
Posts: 91

### Show Tags

12 Mar 2015, 10:00
ForumBlogs - GMAT Club’s latest feature blends timely Blog entries with forum discussions. Now GMAT Club Forums incorporate all relevant information from Student, Admissions blogs, Twitter, and other sources in one place. You no longer have to check and follow dozens of blogs, just subscribe to the relevant topics and forums on GMAT club or follow the posters and you will get email notifications when something new is posted. Add your blog to the list! and be featured to over 300,000 unique monthly visitors

_________________
Veritas Prep Representative
Joined: 21 Jan 2010
Posts: 91

### Show Tags

12 Mar 2015, 15:00
ForumBlogs - GMAT Club’s latest feature blends timely Blog entries with forum discussions. Now GMAT Club Forums incorporate all relevant information from Student, Admissions blogs, Twitter, and other sources in one place. You no longer have to check and follow dozens of blogs, just subscribe to the relevant topics and forums on GMAT club or follow the posters and you will get email notifications when something new is posted. Add your blog to the list! and be featured to over 300,000 unique monthly visitors

_________________
Veritas Prep Representative
Joined: 21 Jan 2010
Posts: 91
Do AP Scores Really Matter When it Comes to College Admission?  [#permalink]

### Show Tags

13 Mar 2015, 10:00
ForumBlogs - GMAT Club’s latest feature blends timely Blog entries with forum discussions. Now GMAT Club Forums incorporate all relevant information from Student, Admissions blogs, Twitter, and other sources in one place. You no longer have to check and follow dozens of blogs, just subscribe to the relevant topics and forums on GMAT club or follow the posters and you will get email notifications when something new is posted. Add your blog to the list! and be featured to over 300,000 unique monthly visitors

_________________
Veritas Prep Representative
Joined: 21 Jan 2010
Posts: 91
GMAT Tip of the Week: Slow Motion Is Better Than No Motion  [#permalink]

### Show Tags

13 Mar 2015, 11:00
ForumBlogs - GMAT Club’s latest feature blends timely Blog entries with forum discussions. Now GMAT Club Forums incorporate all relevant information from Student, Admissions blogs, Twitter, and other sources in one place. You no longer have to check and follow dozens of blogs, just subscribe to the relevant topics and forums on GMAT club or follow the posters and you will get email notifications when something new is posted. Add your blog to the list! and be featured to over 300,000 unique monthly visitors

_________________
Veritas Prep Representative
Joined: 21 Jan 2010
Posts: 91
A Closer Look at GMAT Function Questions  [#permalink]

### Show Tags

16 Mar 2015, 08:00
 FROM Veritas Prep Admissions Blog: A Closer Look at GMAT Function Questions Last week, we looked at the basics of how to handle function questions. Today, let’s look at a couple of questions. We will start with an easier one and then go on to a slightly tougher one.Question 1: If f(x) = 343/x^3, what is the value of f(7x)* f(x/7) in terms of f(x)?(A)  f(x^2)(B) (f(x))^2(C) f(x^3)(D) (f(x))^3(E) f(343x)Solution: We discussed that to get f(a) given f(x), all you need to do is substitute x with a.f(x) = 343/x^3f(7x) = 343/(7x)^3 = 1/x^3f(x/7) = 343/(x/7)^3 = 343*343/x^3So we get f(7x) * f(x/7) = (1/x^3) * (343*343/x^3) = (343/x^3)^2But we know that 343/x^3 = f(x)So, f(7x) * f(x/7) = (f(x))^2Answer(B)There are other ways of solving this too:Say x = 1, then f(1) = 343f(7x)* f(x/7) = f(7)*f(1/7) = (343/7^3) * (343/(1/7)^3 = (343)^2So f(7x)* f(x/7) = (f(1))^2We hope you see that the question was not difficult to solve. Once you get over your fear of symbols, it is quite straight forward.Now, let’s take a question similar to an official question from the GMAT paper tests:Question 2: The function f is defined for each positive three-digit integer n by f(n) = 2^x * 3^y * 5^z, where x, y and z are the hundreds, tens, and units digits of n, respectively. If m and v are three-digit positive integers such that f(m) = 25f(v), then m-v=?(A) 2(B) 9(C) 18(D) 20(E) 100Solution: The question may seem a bit difficult to understand first so let’s take one sentence at a time:“f is defined for each positive three-digit integer n by f(n) = 2^x * 3^y * 5^z, where x, y and z are the hundreds, tens, and units digits of n”Let’s take an example to see how to make sense of it: say 146 is a three digit positive integer. So f(146) = 2^1 * 3^4 * 5^6In the same way, f(283) = 2^2 * 3^8 * 5^3“If m and v are three-digit positive integers such that f(m) = 25f(v)”So f(m) = 5^2 * f(v)If m is represented as abc and v as def, then (2^a * 3^b * 5^c) = 5^2 * (2^d * 3^e * 5^f)Note that for the left hand side to be equal to right hand side, a = d, b = e and c = 2 + f.So the units digit of m is 2 more than the units digit of v but their tens and hundreds digits are the same.So m – v = 2.Answer (A)If you are still not sure how we arrived at this, take an example.f(m) = f(266) = 2^2 * 3^6 * 5^6f(v) = f(264) = 2^2 * 3^6 * 5^4The difference between f(m) and f(v) will be of 5^2 since their units digits are 2 away from each other.Hope next time you see a functions question, you will not get spooked and will, instead, take it in your stride!Karishma, a Computer Engineer with a keen interest in alternative Mathematical approaches, has mentored students in the continents of Asia, Europe and North America. She teaches the GMAT for Veritas Prep and regularly participates in content development projects such as this blog!
ForumBlogs - GMAT Club’s latest feature blends timely Blog entries with forum discussions. Now GMAT Club Forums incorporate all relevant information from Student, Admissions blogs, Twitter, and other sources in one place. You no longer have to check and follow dozens of blogs, just subscribe to the relevant topics and forums on GMAT club or follow the posters and you will get email notifications when something new is posted. Add your blog to the list! and be featured to over 300,000 unique monthly visitors

_________________
Veritas Prep Representative
Joined: 21 Jan 2010
Posts: 91
This is How You Can Be Successful on the SAT!  [#permalink]

### Show Tags

16 Mar 2015, 10:00
ForumBlogs - GMAT Club’s latest feature blends timely Blog entries with forum discussions. Now GMAT Club Forums incorporate all relevant information from Student, Admissions blogs, Twitter, and other sources in one place. You no longer have to check and follow dozens of blogs, just subscribe to the relevant topics and forums on GMAT club or follow the posters and you will get email notifications when something new is posted. Add your blog to the list! and be featured to over 300,000 unique monthly visitors

_________________
Veritas Prep Representative
Joined: 21 Jan 2010
Posts: 91
What Figure Skating Can Teach You about GMAT Sentence Correction Quest  [#permalink]

### Show Tags

17 Mar 2015, 10:00
ForumBlogs - GMAT Club’s latest feature blends timely Blog entries with forum discussions. Now GMAT Club Forums incorporate all relevant information from Student, Admissions blogs, Twitter, and other sources in one place. You no longer have to check and follow dozens of blogs, just subscribe to the relevant topics and forums on GMAT club or follow the posters and you will get email notifications when something new is posted. Add your blog to the list! and be featured to over 300,000 unique monthly visitors

_________________
Veritas Prep Representative
Joined: 21 Jan 2010
Posts: 91

### Show Tags

17 Mar 2015, 12:00
ForumBlogs - GMAT Club’s latest feature blends timely Blog entries with forum discussions. Now GMAT Club Forums incorporate all relevant information from Student, Admissions blogs, Twitter, and other sources in one place. You no longer have to check and follow dozens of blogs, just subscribe to the relevant topics and forums on GMAT club or follow the posters and you will get email notifications when something new is posted. Add your blog to the list! and be featured to over 300,000 unique monthly visitors

_________________
Veritas Prep Representative
Joined: 21 Jan 2010
Posts: 91
SAT Tip of the Week: Do It... NOW!  [#permalink]

### Show Tags

18 Mar 2015, 09:00
ForumBlogs - GMAT Club’s latest feature blends timely Blog entries with forum discussions. Now GMAT Club Forums incorporate all relevant information from Student, Admissions blogs, Twitter, and other sources in one place. You no longer have to check and follow dozens of blogs, just subscribe to the relevant topics and forums on GMAT club or follow the posters and you will get email notifications when something new is posted. Add your blog to the list! and be featured to over 300,000 unique monthly visitors

_________________
Veritas Prep Representative
Joined: 21 Jan 2010
Posts: 91
The Pitfalls of Confusing Correlation and Causation on GMAT Critical R  [#permalink]

### Show Tags

18 Mar 2015, 13:00
ForumBlogs - GMAT Club’s latest feature blends timely Blog entries with forum discussions. Now GMAT Club Forums incorporate all relevant information from Student, Admissions blogs, Twitter, and other sources in one place. You no longer have to check and follow dozens of blogs, just subscribe to the relevant topics and forums on GMAT club or follow the posters and you will get email notifications when something new is posted. Add your blog to the list! and be featured to over 300,000 unique monthly visitors

_________________
Veritas Prep Representative
Joined: 21 Jan 2010
Posts: 91
How to Avoid Tedious Calculations on the Quantitative Section of the G  [#permalink]

### Show Tags

19 Mar 2015, 10:00
ForumBlogs - GMAT Club’s latest feature blends timely Blog entries with forum discussions. Now GMAT Club Forums incorporate all relevant information from Student, Admissions blogs, Twitter, and other sources in one place. You no longer have to check and follow dozens of blogs, just subscribe to the relevant topics and forums on GMAT club or follow the posters and you will get email notifications when something new is posted. Add your blog to the list! and be featured to over 300,000 unique monthly visitors

_________________
Veritas Prep Representative
Joined: 21 Jan 2010
Posts: 91
How a 99th Percentile GMAT Instructor Approaches Sentence Correction Q  [#permalink]

### Show Tags

19 Mar 2015, 14:00
ForumBlogs - GMAT Club’s latest feature blends timely Blog entries with forum discussions. Now GMAT Club Forums incorporate all relevant information from Student, Admissions blogs, Twitter, and other sources in one place. You no longer have to check and follow dozens of blogs, just subscribe to the relevant topics and forums on GMAT club or follow the posters and you will get email notifications when something new is posted. Add your blog to the list! and be featured to over 300,000 unique monthly visitors

_________________
Veritas Prep Representative
Joined: 21 Jan 2010
Posts: 91

### Show Tags

20 Mar 2015, 09:00
ForumBlogs - GMAT Club’s latest feature blends timely Blog entries with forum discussions. Now GMAT Club Forums incorporate all relevant information from Student, Admissions blogs, Twitter, and other sources in one place. You no longer have to check and follow dozens of blogs, just subscribe to the relevant topics and forums on GMAT club or follow the posters and you will get email notifications when something new is posted. Add your blog to the list! and be featured to over 300,000 unique monthly visitors

_________________

Go to page   Previous    1  ...  23   24   25   26   27   28   29  ...  75    Next  [ 1489 posts ]

Display posts from previous: Sort by

 new topic post reply Update application status