• NEW! FREE Beat The GMAT Quizzes
    NEW! FREE Beat The GMAT Quizzes
    NEW! FREE Beat The GMAT Quizzes
    Hundreds of Questions Highly Detailed Reporting Expert Explanations TAKE A FREE GMAT QUIZ
  • 7 CATs FREE!
    If you earn 100 Forum Points

    Engage in the Beat The GMAT forums to earn
    100 points for $49 worth of Veritas practice GMATs FREE

    Veritas Prep
    VERITAS PRACTICE GMAT EXAMS
    Earn 10 Points Per Post
    Earn 10 Points Per Thanks
    Earn 10 Points Per Upvote
    REDEEM NOW

The number of candidates rejected in a certain admission pro

This topic has 2 expert replies and 0 member replies

GMAT/MBA Expert

The number of candidates rejected in a certain admission pro

Post

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

Difficult



GMATH practice exercise (Quant Class 6)

The number of candidates rejected in a certain admission process was four times greater than the number of candidates accepted. Which of the following could be the total number of candidates that applied for this admission process?

(A) 726
(B) 727
(C) 728
(D) 729
(E) 730

Answer: _____(A)__

_________________
Fabio Skilnik :: GMATH method creator ( Math for the GMAT)
English-speakers :: https://www.gmath.net
Portuguese-speakers :: https://www.gmath.com.br

  • +1 Upvote Post
  • Quote
  • Flag

GMAT/MBA Expert

Post
fskilnik@GMATH wrote:
GMATH practice exercise (Quant Class 6)

The number of candidates rejected in a certain admission process was four times greater than the number of candidates accepted. Which of the following could be the total number of candidates that applied for this admission process?

(A) 726
(B) 727
(C) 728
(D) 729
(E) 730

Answer: _____(A)__
The number of candidates rejected in a certain admission process was four times GREATER than the number of candidates accepted.
Let x = the number of candidates accepted
So, x + 4x = the number of candidates rejected
In other words, 5x = the number of candidates rejected

So, 6x = TOTAL number of candidates (since x + 5x = 6x)

Which of the following could be the total number of candidates that applied for this admission process?
Since 6x = TOTAL number of candidates, we can see that the TOTAL number of candidates must be divisible by 6
Check the answer choices.....only answer choice A is divisible by 6

Answer: A

Cheers,
Brent

_________________
Brent Hanneson – Creator of GMATPrepNow.com
Use my video course along with Beat The GMAT's free 60-Day Study Guide

Sign up for free Question of the Day emails
And check out all of these free resources

  • +1 Upvote Post
  • Quote
  • Flag
GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMAT’s FREE 60-Day Study Guide and reach your target score in 2 months!

GMAT/MBA Expert

GMAT Instructor
Joined
09 Oct 2010
Posted:
1449 messages
Followed by:
32 members
Upvotes:
59
Post
fskilnik@GMATH wrote:
GMATH practice exercise (Quant Class 6)

The number of candidates rejected in a certain admission process was four times greater than the number of candidates accepted. Which of the following could be the total number of candidates that applied for this admission process?

(A) 726
(B) 727
(C) 728
(D) 729
(E) 730
$$?\,\,\,:\,\,\,{\rm{total}}\,\,{\rm{\# }}\,\,\,\left( {{\rm{possible}}\,\,{\rm{value}}} \right)$$
$$\left\{ \matrix{
\,{\rm{accepted}} = k \hfill \cr
\,{\rm{rejected}} = 5k \hfill \cr} \right.\,\,\,\,\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,? = 6k\,\,\,\,\,\,\left( {k \ge 1\,\,{\mathop{\rm int}} } \right)$$
$$\left( A \right)\,\,\,726\,\,\,\,\left\{ \matrix{
\,{\rm{even}} \hfill \cr
\,{\rm{multiple}}\,\,{\rm{of}}\,\,3\,\,\,\,\left( {7 + 2 + 6 = 15} \right) \hfill \cr} \right.\,\,\,\,\,\,\,\, \Rightarrow \,\,\,\,\,{\rm{done}}!$$

The correct answer is (A).

We follow the notations and rationale taught in the GMATH method.

Regards,
Fabio.

_________________
Fabio Skilnik :: GMATH method creator ( Math for the GMAT)
English-speakers :: https://www.gmath.net
Portuguese-speakers :: https://www.gmath.com.br

  • +1 Upvote Post
  • Quote
  • Flag
  • Kaplan Test Prep
    Free Practice Test & Review
    How would you score if you took the GMAT

    Available with Beat the GMAT members only code

    MORE DETAILS
    Kaplan Test Prep
  • EMPOWERgmat Slider
    1 Hour Free
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    EMPOWERgmat Slider
  • Target Test Prep
    5-Day Free Trial
    5-day free, full-access trial TTP Quant

    Available with Beat the GMAT members only code

    MORE DETAILS
    Target Test Prep
  • Veritas Prep
    Free Veritas GMAT Class
    Experience Lesson 1 Live Free

    Available with Beat the GMAT members only code

    MORE DETAILS
    Veritas Prep
  • Economist Test Prep
    Free Trial & Practice Exam
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    Economist Test Prep
  • e-gmat Exclusive Offer
    Get 300+ Practice Questions
    25 Video lessons and 6 Webinars for FREE

    Available with Beat the GMAT members only code

    MORE DETAILS
    e-gmat Exclusive Offer
  • PrepScholar GMAT
    5 Day FREE Trial
    Study Smarter, Not Harder

    Available with Beat the GMAT members only code

    MORE DETAILS
    PrepScholar GMAT
  • Magoosh
    Magoosh
    Study with Magoosh GMAT prep

    Available with Beat the GMAT members only code

    MORE DETAILS
    Magoosh
  • The Princeton Review
    FREE GMAT Exam
    Know how you'd score today for $0

    Available with Beat the GMAT members only code

    MORE DETAILS
    The Princeton Review
  • Varsity Tutors
    Award-winning private GMAT tutoring
    Register now and save up to $200

    Available with Beat the GMAT members only code

    MORE DETAILS
    Varsity Tutors

Top First Responders*

1 Brent@GMATPrepNow 39 first replies
2 Ian Stewart 37 first replies
3 Jay@ManhattanReview 32 first replies
4 GMATGuruNY 26 first replies
5 Scott@TargetTestPrep 17 first replies
* Only counts replies to topics started in last 30 days
See More Top Beat The GMAT Members

Most Active Experts

1 image description Scott@TargetTestPrep

Target Test Prep

188 posts
2 image description Max@Math Revolution

Math Revolution

84 posts
3 image description Brent@GMATPrepNow

GMAT Prep Now Teacher

71 posts
4 image description Ian Stewart

GMATiX Teacher

45 posts
5 image description GMATGuruNY

The Princeton Review Teacher

45 posts
See More Top Beat The GMAT Experts