• 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

Is the sum of two integers divisible by 10 ?

This topic has 2 expert replies and 0 member replies

Is the sum of two integers divisible by 10 ?

Post

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

Difficult



Is the sum of two integers divisible by 10 ?

(1) One of the integers is even.
(2) One of the integers is a multiple of 5.

E

Source: Official Guide 2020

  • +1 Upvote Post
  • Quote
  • Flag

GMAT/MBA Expert

Post
AbeNeedsAnswers wrote:
Is the sum of two integers divisible by 10 ?

(1) One of the integers is even.
(2) One of the integers is a multiple of 5.
Target question: Is the sum of two integers divisible by 10 ?

Statement 1: One of the integers is even.
We only have information about ONE number.
Statement 1 is NOT SUFFICIENT

Statement 2: One of the integers is a multiple of 5.
We only have information about ONE number.
Statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined
There are many possible pairs of values that satisfy BOTH statements. Here are two:
Case a: The numbers are 10 (even) and 10 (divisible by 5). So, the sum = 20, which means the answer to the target question is YES, the sum of the integers IS divisible by 10.
Case b: The numbers are 2 (even) and 15 (divisible by 5). So, the sum = 17, which means the answer to the target question is NO, the sum of the integers is NOT divisible by 10.
Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT

Answer: E

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

Elite Legendary Member
Joined
23 Jun 2013
Posted:
10197 messages
Followed by:
496 members
Upvotes:
2867
GMAT Score:
800
Most Active Expert
Post
Hi All,

We're asked if the sum of two integers is divisible by 10. This is a YES/NO question can be solved by TESTing VALUES.

(1) One of the integers is even.

Fact 1 tells us about just one of the numbers; we know nothing about the other number. For organizational purposes, I'll refer to the 2 numbers as X and Y.
IF....
X = 10 and Y = 0, then the answer to the question is YES.
X = 10 and Y = 5, then the answer to the question is NO.
Fact 1 is INSUFFICIENT

(2) One of the integers is a multiple of 5.

Fact 2 tells us about just one of the numbers; we know nothing about the other number. The TESTs that we used for Fact 1 also fit the information in Fact 2 (it's worth noting that 0 IS a multiple of 5).
IF....
X = 10 and Y = 0, then the answer to the question is YES.
X = 10 and Y = 5, then the answer to the question is NO.
Fact 2 is INSUFFICIENT

Combined, we know...
One of the integers is even.
One of the integers is a multiple of 5.

Since we already have two examples that fit both Facts, there's no more work to be done - the answer could be either 'YES' or 'NO.'
Combined, INSUFFICIENT

Final Answer: E

GMAT assassins aren't born, they're made,
Rich

_________________
Contact Rich at Rich.C@empowergmat.com

  • +1 Upvote Post
  • Quote
  • Flag
  • 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
  • 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
  • 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
  • PrepScholar GMAT
    5 Day FREE Trial
    Study Smarter, Not Harder

    Available with Beat the GMAT members only code

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

    Available with Beat the GMAT members only code

    MORE DETAILS
    Economist 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
  • EMPOWERgmat Slider
    1 Hour Free
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    EMPOWERgmat Slider
  • 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

Top First Responders*

1 Ian Stewart 49 first replies
2 Brent@GMATPrepNow 39 first replies
3 Jay@ManhattanReview 35 first replies
4 GMATGuruNY 29 first replies
5 ceilidh.erickson 14 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

206 posts
2 image description Max@Math Revolution

Math Revolution

90 posts
3 image description Brent@GMATPrepNow

GMAT Prep Now Teacher

82 posts
4 image description Ian Stewart

GMATiX Teacher

56 posts
5 image description GMATGuruNY

The Princeton Review Teacher

50 posts
See More Top Beat The GMAT Experts