In the past, several people have asked me to publish advice and help on the dreaded GMAT exam. When I was applying, I had zero time to offer this kind of help.

Now, I am able to provide some occasional practice questions and solutions based on having slightly more time than I did before and some generous friends of mine who have offered to pony up free questions and answers.

Here’s your first batch; I hope that it helps!

For more GMAT help, inquire here.

**PRACTICE PROBLEM 1A**

Which of the following is equivalent to for all values of a and b for which the expression is defined?

(A) a^{2}+b^{2} (B) a^{2}-b^{2} (C) a^{50}+b^{50} (D) a^{50}-b^{50} (E) (ab)^{2}

**Solution:**

Notice that is in the form of a difference of squares because a^{100} is the square of a^{50} and b^{100} is the square of b^{50}. Thus .

**Answer: C**

** **

**PRACTICE PROBLEM 1B**

If p and q are integers greater than zero, what is the value of pq?

1) The least common multiple of p and q is 240.

2) The greatest common factor of p and q is 8.

**Solution:**

**Question Stem Analysis:**

We need to determine the value of pq.

**Statement One Alone:**

Þ The least common multiple of p and q is 240.

This tells us the smallest number that both p and q will divide into is 240. This is not enough information to determine the value of pq because there are multiple values of p and q that have an LCM of 240. For example, 15 and 16 have an LCM of 240, and 60 and 80 have an LCM of 240. Statement one alone is not sufficient.

Eliminate answer choices A and D.

**Statement Two Alone:**

Þ The greatest common factor of p and q is 8.

This tells us the largest number that will divide into p and q is 8. That is, 8 is the largest factor that p and q share. This is not enough information to determine the value of pq because there are multiple values of p and q with a GCF of 8. For example, the GCF of 16 and 24 is 8, and so is the GCF of 24 and 32. Statement two alone is not sufficient.

Eliminate answer choice B.

**Statements One and Two Together:**

It must be true that LCM(p, q) x GCF(p, q) = pq. Thus, pq = 240 ´ 8 = 1,920. Both statements together are sufficient to answer the question.

**Answer: C**

*MBAOver30 ***offers the perspective of a 30-something, California-based entrepreneur who is applied to Harvard, Stanford, Wharton, Chicago, and MIT Sloan. He has been offered admission into Class of 2015 from Wharton, Chicago and MIT Sloan. He blogs at **** MBAOver30.com. **Previous posts on Poets&Quants:

**How I Totally Overestimated The MBA Admissions Process**

**Musings on MBA Failophobia**

**Letting Go Of An MBA Safety School**

**When A Campus Visit Turns Off An MBA Applicant**

**Yale, Tuck and Booth: The Next Leg of My Pre- MBA Research**

** My Countdown: Less Than 30 Days To The GMAT**

**From Suits To Startups: Why MBA Programs Are Changing**

**Why I’m Not Getting Either A Part-Time MBA or An Executive MBA**

**Preparing To Sit For The GMAT Exam**

**Falls Short of GMAT Goal, But The 700 Is A Big Improvement**

**A 2012-2013 MBA Application Strategy**

**Celebrating A 35th Birthday & Still Wanting A Full-Time MBA**

**A Tuck Coffee Chat Leaves Our Guest Blogger A Believer**

**Heading Into the August Cave: Getting Those Round One Apps Done **

**Just One MBA Essay Shy Of Being Doe**

**Getting That MBA Recommendation From Your Boss**

**Facetime with MBA Gatekeepers at Wharton**

**The Differences Between Harvard & Stanford Info Sessions**

**My MIT Sloan Info Session in California **

**Round One Deadlines Approaching**

**Jumping Into The MBA Admissions Rabbit Hole**

**Relief At Getting Those Round One Apps Done But Now A Sense of Powerlessness**

**On Age Discrimination in MBA Admissions & Rookie Hype**

**Judgment Day Nears**

**Harvard Business School: No News Is Good News?**

**Researching Kellogg, Tuck, Berkeley and Yale**

**A Halloween Treat: An Invite To Interview From Chicago Booth**

**The MBA Gods Have Smiled Once Again**

**Interviewing At Chicago Booth and Wharton**

**My Thanksgiving Day Feast: Completing Applications**

**The Most Painful Part of the MBA Application Process: Waiting**

**An Invite To Interview At MIT Sloan**

**An Early Morning Phone Call From Area Code 773 With Good News**

**An Acceptance From Wharton**

**Going AWOL From The Admissions Game**

**The 10 Commandments of the MBA Admissions Game**

**Networking With Fellow Admits At Wharton and Booth **

**MIT Sloan Let My Outspoken, Black Ass In — Hallelujah!**

**A Scholarship Offer From MIT Sloan**

**A Five-Star Experience: Wharton’s Winter Welcome Weekend**

**Dispelling Chicago Booth Myths**

**Why I’m Going To Wharton–And Not Booth or Sloan**

**What Happens After You Get Into A Great School **

**Why Columbia Business School Has The Best Follies**