Berkeley Haas | Mr. Army Officer
GRE 325, GPA 3.9
Berkeley Haas | Mx. CPG Marketer
GMAT 750, GPA 3.95
Yale | Mr. Healthcare Geek
GMAT 680, GPA 3.5
Stanford GSB | Ms. Education Reform
GRE 331 (Practice), GPA 2.92
USC Marshall | Mr. Low GPA High GMAT
GMAT 740, GPA 2.44
Berkeley Haas | Ms. Against All Odds
GMAT 720, GPA 2.9
Harvard | Mr. MedTech Startup
GMAT 740, GPA 3.80
INSEAD | Mr. INSEAD Hopeful
GMAT -, GPA 2.9
Chicago Booth | Mr. Consulting Hopeful
GMAT 720, GPA 3.6
Kellogg | Mr. Operations Analyst
GMAT Waived, GPA 3.3
Harvard | Mr. Google Tech
GMAT 770, GPA 2.2
Yale | Mr. Army Pilot
GMAT 650, GPA 2.90
Wharton | Mr. Senior Analyst
GMAT 750, GPA 3.2
Stanford GSB | Mr. Future VC
GMAT 750, GPA 3.6
Stanford GSB | Ms. Access To Opportunities
GRE 318, GPA 2.9
Tuck | Mr. Product Marketer
GMAT 730, GPA 3.1
Wharton | Ms. Finance For Good
GMAT 730, GPA 3.7
UCLA Anderson | Mr. International PM
GMAT 730, GPA 2.3
Stanford GSB | Mr. Low GPA To Stanford
GMAT 770, GPA 2.7
London Business School | Mr. Midwest Engineer
GMAT 750, GPA 3.69
Harvard | Mr. Policy Development
GMAT 740, GPA Top 30%
Cambridge Judge Business School | Mr. Champion Swimmer
GMAT 750, GPA 3.7
MIT Sloan | Mr. NFL Team Analyst
GMAT 720, GPA 3.8
Kellogg | Mr. Tech Auditor
GRE 332, GPA 3.25
NYU Stern | Mr. Washed-Up Athlete
GRE 325, GPA 3.4
UCLA Anderson | Mr. Southern California
GMAT 710, GPA 3.58
Ross | Mr. Brazilian Sales Guy
GRE 326, GPA 77/100 (USA Avg. 3.0)

GMAT Quant Practice For Class of 2016 MBA Applicants

MBAOver30In 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 \frac{{{a}^{100}}-{{b}^{100}}}{{{a}^{50}}-{{b}^{50}}} 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

Solution:

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 {{a}^{100}}-{{b}^{100}}={{\left( {{a}^{50}} \right)}^{2}}-{{\left( {{b}^{50}} \right)}^{2}}=\left( {{a}^{50}}-{{b}^{50}} \right)\left( {{a}^{50}}+{{b}^{50}} \right).

\Rightarrow \frac{{{a}^{100}}-{{b}^{100}}}{{{a}^{50}}-{{b}^{50}}}=\frac{{{\left( {{a}^{50}} \right)}^{2}}-{{\left( {{b}^{50}} \right)}^{2}}}{{{a}^{50}}-{{b}^{50}}}

=\frac{\left( {{a}^{50}}-{{b}^{50}} \right)\left( {{a}^{50}}+{{b}^{50}} \right)}{{{a}^{50}}-{{b}^{50}}}

={{a}^{50}}+{{b}^{50}}

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