|
Author |
Message |
|
TAGS:
|
|
|
Senior Manager
Joined: 29 Nov 2012
Posts: 279
Followers: 1
Kudos [?]:
12
[0], given: 241
|
If a certain positive integer is divided by 9, the remainder [#permalink]
 19 Jan 2013, 00:28
Question Stats:
63% (02:31) correct
36% (01:43) wrong based on 1 sessions
If a certain positive integer is divided by 9, the remainder is 3. What is the remainder when the integer is divided by 5? (1) If the integer is divided by 45, the remainder is 30 (2) The integer is divisible by 2 info we have n=9k+3
statement 1 n=45k+30 >>> 5(9k+6)
how is this sufficient?
9k+6 and 9k+3 are not the same.
Last edited by Bunuel on 19 Jan 2013, 05:21, edited 1 time in total.
Edited the question and the tags.
|
|
|
|
|
|
|
Director
Joined: 02 Jul 2012
Posts: 753
Location: India
Concentration: Strategy
GMAT 1: 740 Q49 V42
GPA: 3.8
WE: Engineering (Energy and Utilities)
Followers: 19
Kudos [?]:
257
[0], given: 45
|
Re: If a certain positive integer is divided by 9, the remainder [#permalink]
19 Jan 2013, 00:46
fozzzy wrote: If a certain positive integer is divided by 9, the remainder is 3. What is the remainder when the integer is divided by 5?
1. If the integer is divided by 45, the remainder is 30
2. The integer is divisible by 2
info we have n=9k+3
statement 1 n=45k+30 >>> 5(9k+6)
how is this sufficient?
9k+6 and 9k+3 are not the same. Actually n is 45L + 30 , not 45k + 30. 45L + 30 = 15(3L + 2). Since L is an integer, this value is divisible by 5. The remainder will be 0. We do not even need the first part of the question statement. A alone is sufficient to answer the question.
_________________
Kudos Please... If my post helped.
Thanks To The Almighty - My GMAT Debrief
My Own CR Question 1|My Own CR Question 2|My Own DS Question 1|My Own DS Question 2|
My Own PS Question 1
|
|
|
|
|
|
Senior Manager
Joined: 29 Nov 2012
Posts: 279
Followers: 1
Kudos [?]:
12
[0], given: 241
|
Re: If a certain positive integer is divided by 9, the remainder [#permalink]
19 Jan 2013, 00:58
but don't we need to test values that satisfy both equations?
|
|
|
|
|
|
Director
Joined: 02 Jul 2012
Posts: 753
Location: India
Concentration: Strategy
GMAT 1: 740 Q49 V42
GPA: 3.8
WE: Engineering (Energy and Utilities)
Followers: 19
Kudos [?]:
257
[1] , given: 45
|
Re: If a certain positive integer is divided by 9, the remainder [#permalink]
19 Jan 2013, 01:50
1
This post received
KUDOS
Statement A openly tells us that the number is a multiple of 5. So regardless of what the number is, when we divide that number by 5, the remainder is going to be 0. We do not have to find the number itself.
_________________
Kudos Please... If my post helped.
Thanks To The Almighty - My GMAT Debrief
My Own CR Question 1|My Own CR Question 2|My Own DS Question 1|My Own DS Question 2|
My Own PS Question 1
|
|
|
|
|
|
Senior Manager
Joined: 29 Nov 2012
Posts: 279
Followers: 1
Kudos [?]:
12
[0], given: 241
|
Re: If a certain positive integer is divided by 9, the remainder [#permalink]
19 Jan 2013, 01:56
MacFauz wrote: Statement A openly tells us that the number is a multiple of 5. So regardless of what the number is, when we divide that number by 5, the remainder is going to be 0. We do not have to find the number itself. I realize my mistake, I misinterpreted the question. Thanks!
|
|
|
|
|
|
GMAT Club team member
Joined: 02 Sep 2009
Posts: 11522
Followers: 1795
Kudos [?]:
9549
[1] , given: 826
|
Re: If a certain positive integer is divided by 9, the remainder [#permalink]
19 Jan 2013, 05:20
1
This post received
KUDOS
If a certain positive integer is divided by 9, the remainder is 3. What is the remainder when the integer is divided by 5? Given that x=9q+3. x could be: 3, 12, 21, 30, 39, 42, ... (1) If the integer is divided by 45, the remainder is 30 --> x=45p+30=5(9p+6). So, x is a multiple of 5, which means that the remainder when x is divided by 5 is 0. Sufficient. (2) The integer is divisible by 2 --> x is even. If x is 12, then the remainder is 2 but if x is 30, then the remainder is 0. Not sufficient. Answer: A. As for your doubt: the values of x which satisfies both equations are: 30, 75, 120, ... Hope it helps.
_________________
PLEASE READ AND FOLLOW: 11 Rules for Posting!!!
RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory
COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. NEW!!!
DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set. NEW!!!
What are GMAT Club Tests?
25 extra-hard Quant Tests
Find out what's new at GMAT Club - latest features and updates
|
|
|
|
|
|
|
Re: If a certain positive integer is divided by 9, the remainder
[#permalink]
19 Jan 2013, 05:20
|
|
|
|
|
|
|
|
|
|
|
close
