GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 26 Jun 2019, 17:21

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Is the sum of two integers divisible by 10 ? (1) One of the integers

Author Message
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 55801
Is the sum of two integers divisible by 10 ? (1) One of the integers  [#permalink]

Show Tags

26 Apr 2019, 02:14
00:00

Difficulty:

15% (low)

Question Stats:

67% (00:49) correct 33% (00:51) wrong based on 158 sessions

HideShow timer Statistics

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.

DS72602.01
OG2020 NEW QUESTION

_________________
examPAL Representative
Joined: 07 Dec 2017
Posts: 1072
Re: Is the sum of two integers divisible by 10 ? (1) One of the integers  [#permalink]

Show Tags

26 Apr 2019, 14:38
Bunuel 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.

DS72602.01
OG2020 NEW QUESTION

Questions dealing with divisibility can often be solved Logically, without calculation.
In this case, we need to know if the sum has a zero as its unit digit, or if it has a 5 and a 2 in its factorization.
(1) and (2) each relate to one integer so are insufficient. Combining does not give us the information on the units digit of the sum or the factorization.
_________________
Intern
Joined: 14 Apr 2017
Posts: 44
Location: Hungary
GMAT 1: 690 Q50 V34
GMAT 2: 760 Q50 V42
GMAT 3: 700 Q50 V33
WE: Education (Education)
Re: Is the sum of two integers divisible by 10 ? (1) One of the integers  [#permalink]

Show Tags

27 Apr 2019, 02:53
Bunuel 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.

DS72602.01
OG2020 NEW QUESTION

The original question: Is the sum of two integers divisible by 10 ?

1) We know that one of the integers is even and can test possible cases. If one of the integers is 10 and the other is also 10, then the answer to the original question is Yes. However, if one of the integers is 10 and the other is 11, then the answer to the original question is No. Thus, we can't get a definite answer to the original question. $$\implies$$ Insufficient

2) We know that one of the integers is a multiple of 5 and can test possible cases. If one of the integers is 10 and the other is also 10, then the answer to the original question is Yes. However, if one of the integers is 10 and the other is 11, then the answer to the original question is No. Thus, we can't get a definite answer to the original question. $$\implies$$ Insufficient

1&2) Since we can use the same cases to prove that statement 1) and 2) are insufficient, 1&2) must also be insufficient. $$\implies$$ Insufficient

_________________
CEO
Joined: 18 Aug 2017
Posts: 3947
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: Is the sum of two integers divisible by 10 ? (1) One of the integers  [#permalink]

Show Tags

27 Apr 2019, 06:47
Bunuel 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.

DS72602.01
OG2020 NEW QUESTION

#1
even other not known
insufficient
#2
one is multiple of 5 other not know insufficeint
from 1 & 2
one is even other is multiple of 5
eg ; 5,10 ; 15 no
10,10 ; 20 ; yes
IMO E
_________________
If you liked my solution then please give Kudos. Kudos encourage active discussions.
CEO
Joined: 12 Sep 2015
Posts: 3787
Re: Is the sum of two integers divisible by 10 ? (1) One of the integers  [#permalink]

Show Tags

29 Apr 2019, 09:21
Top Contributor
Bunuel 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.

DS72602.01
OG2020 NEW QUESTION

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

Cheers,
Brent
_________________
Test confidently with gmatprepnow.com
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 6680
Location: United States (CA)
Re: Is the sum of two integers divisible by 10 ? (1) One of the integers  [#permalink]

Show Tags

06 May 2019, 20:09
Bunuel 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.

DS72602.01
OG2020 NEW QUESTION

Statement One Alone:

One of the integers is even.

If the two integers are 2 and 8, then the sum is divisible by 10. However, if the integers are 2 and 1, then the sum is not divisible by 10. Statement one alone is not sufficient to answer the question.

Statement Two Alone:

One of the integers is a multiple of 5.

If the two integers are 5 and 15, then the sum is divisible by 10. However, if the integers are 5 and 1, then the sum is not divisible by 10. Statement two alone is not sufficient to answer the question.

Statements One and Two Together:

If the two integers are 10 and 20, then the sum is divisible by 10. However, if the integers are 2 and 10, then the sum is not divisible by 10.

_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

EMPOWERgmat Instructor
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 14395
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: Is the sum of two integers divisible by 10 ? (1) One of the integers  [#permalink]

Show Tags

20 May 2019, 13:32
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

GMAT assassins aren't born, they're made,
Rich
_________________
760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

*****Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!*****

Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save \$75 + GMAT Club Tests Free
Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/
Re: Is the sum of two integers divisible by 10 ? (1) One of the integers   [#permalink] 20 May 2019, 13:32
Display posts from previous: Sort by