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) a2+b2 (B) a2-b2 (C) a50+b50 (D) a50-b50 (E) (ab)2
Notice that is in the form of a difference of squares because a100 is the square of a50 and b100 is the square of b50. Thus .
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.
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.
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
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
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
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
Comments or questions about this article? Email us.