Last visit was: 12 Jul 2024, 18:33 It is currently 12 Jul 2024, 18:33
Toolkit
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
Your Progress

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
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Request Expert Reply

# Is the two-digit positive integer, RM, a multiple of 7? (1) R + M = 13

SORT BY:
Tags:
Show Tags
Hide Tags
Math Expert
Joined: 02 Sep 2009
Posts: 94302
Own Kudos [?]: 640179 [3]
Given Kudos: 84576
Senior Manager
Joined: 13 Jan 2018
Posts: 277
Own Kudos [?]: 409 [0]
Given Kudos: 20
Location: India
Concentration: Operations, General Management
GMAT 1: 580 Q47 V23
GMAT 2: 640 Q49 V27
GPA: 4
WE:Consulting (Consulting)
GMAT Club Legend
Joined: 18 Aug 2017
Status:You learn more from failure than from success.
Posts: 7962
Own Kudos [?]: 4207 [0]
Given Kudos: 243
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1:
545 Q79 V79 DI73
GPA: 4
WE:Marketing (Energy and Utilities)
Senior Manager
Joined: 18 Jun 2018
Posts: 334
Own Kudos [?]: 200 [0]
Given Kudos: 1283
Concentration: Finance, Healthcare
Is the two-digit positive integer, RM, a multiple of 7? (1) R + M = 13 [#permalink]
Archit3110 I am thinking C is the answer. Here is how:

Is RM multiple of 7?

St 1: RM could be 67 (insufficient), 85 (sufficient), or 94 (insufficient). So St 1 is insufficient

St 2: RM could be 63 (sufficient) or 67 (insufficient). So St 2 is insufficient

Combining Sts 1 and 2 (R + M = 13 and R is divisible by 3), RM = 67 (insufficient) or 94 (insufficient). So answer is C

Did I miss anything?

eswarchethu135

Archit3110 wrote:
Bunuel wrote:
Is the two-digit positive integer, RM, a multiple of 7?

(1) R + M = 13
(2) R is divisible by 3

from 1:

R,M can be
( 49,94,58,85,67,76)

so 49 is divisible by 7 so in sufficient

from 2: r divisible by 3 so RM can be ( 67 or 94) both are not divisible by 7

IMO B

Originally posted by bebs on 10 Dec 2018, 08:11.
Last edited by bebs on 10 Dec 2018, 09:34, edited 1 time in total.
GMAT Club Legend
Joined: 18 Aug 2017
Status:You learn more from failure than from success.
Posts: 7962
Own Kudos [?]: 4207 [0]
Given Kudos: 243
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1:
545 Q79 V79 DI73
GPA: 4
WE:Marketing (Energy and Utilities)
Is the two-digit positive integer, RM, a multiple of 7? (1) R + M = 13 [#permalink]
funsogu wrote:
Archit3110 I am thinking E is the answer. Here is how:

Is RM multiple of 7?

St 1: RM could be 67 (insufficient), 85 (sufficient), or 94 (insufficient). So St 1 is insufficient

St 2: RM could be 63 (sufficient) or 67 (insufficient). So St 2 is insufficient

Combining Sts 1 and 2 (R + M = 13 and R is divisible by 3), RM = 67 (insufficient) or 94 (insufficient). So answer is E

Did I miss anything?

eswarchethu135

Archit3110 wrote:
Bunuel wrote:
Is the two-digit positive integer, RM, a multiple of 7?

(1) R + M = 13
(2) R is divisible by 3

from 1:

R,M can be
( 49,94,58,85,67,76)

so 49 is divisible by 7 so in sufficient

from 2: r divisible by 3 so RM can be ( 67 or 94) both are not divisible by 7

IMO B

funsogu : you seem to correct on stmnt 2 , it would be insufficient..

Combining 1 & 2 we get 94,67 ,so RM is not multiple of 7

IMO C
Senior Manager
Joined: 18 Jun 2018
Posts: 334
Own Kudos [?]: 200 [0]
Given Kudos: 1283
Concentration: Finance, Healthcare
Re: Is the two-digit positive integer, RM, a multiple of 7? (1) R + M = 13 [#permalink]
Archit3110 You are correct. I meant to say C. This how I lose easy points on DS questions.
GMAT Club Legend
Joined: 18 Aug 2017
Status:You learn more from failure than from success.
Posts: 7962
Own Kudos [?]: 4207 [0]
Given Kudos: 243
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1:
545 Q79 V79 DI73
GPA: 4
WE:Marketing (Energy and Utilities)
Re: Is the two-digit positive integer, RM, a multiple of 7? (1) R + M = 13 [#permalink]
funsogu wrote:
Archit3110 You are correct. I meant to say C. This how I lose easy points on DS questions.

funsogu: no worries mate , its part of learning .. thanks to you for highlighting the error in my solution.. even i initially got the question wrong..
Director
Joined: 04 Jun 2018
Posts: 663
Own Kudos [?]: 735 [0]
Given Kudos: 362
Location: United States
Concentration: General Management, Finance
GMAT 1: 730 Q47 V44
GPA: 3.4
Re: Is the two-digit positive integer, RM, a multiple of 7? (1) R + M = 13 [#permalink]
Can someone please explain where I went wrong:

1.) R+M = 13

E.g. 1+12,2+11,3+10,4+11...... 12+1

2.) R is divisible by 3

E.g. 3,6,9,12

1&2 combined could be:

R = 3,6,9,12
M = 10,7,4,1

30/7 does not work
56/7 would work

Please help me out
Tutor
Joined: 07 Nov 2016
Posts: 41
Own Kudos [?]: 61 [0]
Given Kudos: 12
GMAT 1: 760 Q51 V42
Re: Is the two-digit positive integer, RM, a multiple of 7? (1) R + M = 13 [#permalink]
Expert Reply
Arro44 wrote:
Can someone please explain where I went wrong:

1.) R+M = 13

E.g. 1+12,2+11,3+10,4+11...... 12+1

2.) R is divisible by 3

E.g. 3,6,9,12

1&2 combined could be:

R = 3,6,9,12
M = 10,7,4,1

30/7 does not work
56/7 would work

Please help me out

R and M are digits. They can only take values from 0 to 9
RM is a 2-digit number and not the product of R and M
hope it is clear
Re: Is the two-digit positive integer, RM, a multiple of 7? (1) R + M = 13 [#permalink]
Moderator:
Math Expert
94302 posts