|
Author |
Message |
|
TAGS:
|
|
|
Intern
Joined: 19 Sep 2010
Posts: 14
Followers: 0
Kudos [?]:
0
[0], given: 4
|
What is the remainder when the positive integer n is divided [#permalink]
25 Feb 2011, 07:20
Question Stats:
30% (02:31) correct
70% (00:46) wrong based on 10 sessions
What is the remainder when the positive integer n is divided by 2? (1) When n is divided by 5, the remainder is an odd integer. (2) When n is divided by 10, the remainder is an odd integer
|
|
|
|
|
|
|
GMAT Club team member
Joined: 02 Sep 2009
Posts: 12077
Followers: 1876
Kudos [?]:
10076
[0], given: 954
|
Re: please explain the answer how the authore arrives to that [#permalink]
25 Feb 2011, 07:40
naaga wrote: What is the remainder when the positive integer n is divided by 2? (1) When n is divided by 5, the remainder is an odd integer. (2) When n is divided by 10, the remainder is an odd integer What is the remainder when the positive integer n is divided by 2? Question basically asks whether n is odd or even: if it's odd then the remainder will be 1 and if it's even then the remainder will be zero. (1) When n is divided by 5, the remainder is an odd integer --> n=5q+odd, so n could be odd (1, 3, 11, 13, 21, 23, ...) as well as even (6, 8, 16, 18, ... ). Not sufficient. (2) When n is divided by 10, the remainder is an odd integer --> n=10p+odd=even+odd=odd. Sufficient. Answer: B. P. S. naaga please always tag your questions.
_________________
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; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders
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!!! ,11 Mixed Questions NEW!!!, 12 Fresh Meat 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!!!, 11 New DS set. NEW!!!
 What are GMAT Club Tests? 25 extra-hard Quant Tests
Find out what's new at GMAT Club - latest features and updates
|
|
|
|
|
|
Manager
Status: I am Midnight's Child !
Joined: 04 Dec 2009
Posts: 148
WE 1: Software Design and Development
Followers: 1
Kudos [?]:
18
[0], given: 11
|
Re: please explain the answer how the authore arrives to that [#permalink]
25 Feb 2011, 11:15
Answer should be B. If divided by 10 ,and the remainder is odd, then remainder will always be 1 when divided by 2
_________________
Argument : If you love long trips, you love the GMAT. Conclusion : GMAT is long journey.
What does the author assume ? Assumption : A long journey is a long trip.
Find out what's new at GMAT Club - latest features and updates
|
|
|
|
|
|
Director
Status: Matriculating
Affiliations: Chicago Booth
Joined: 03 Feb 2011
Posts: 947
Followers: 10
Kudos [?]:
144
[0], given: 123
|
Re: please explain the answer how the authore arrives to that [#permalink]
25 Feb 2011, 11:23
Clear B. 2) tells me precisely that n is odd. Hence reminder is 1 when n is divided by 2.
|
|
|
|
|
|
Manager
Joined: 26 Jul 2010
Posts: 93
Location: india
Schools: isb
WE 1: 8 years
Followers: 4
Kudos [?]:
12
[0], given: 5
|
Re: please explain the answer how the authore arrives to that [#permalink]
30 Apr 2011, 18:35
answer is b 1. in suff no will be like 6,8,11,13 2. suff - no will be always odd-11,13 15 , 17 so b is the answer
_________________
lets start again
|
|
|
|
|
|
VP
Status: There is always something new !!
Affiliations: PMI,QAI Global,eXampleCG
Joined: 08 May 2009
Posts: 1395
Followers: 8
Kudos [?]:
86
[0], given: 10
|
Re: please explain the answer how the authore arrives to that [#permalink]
30 Apr 2011, 20:03
Clear B, as 10 is a multiple of 2.Since the remainder is an odd number meaning it is always 1.
_________________
Visit -- http://www.sustainable-sphere.com/ Promote Green Business,Sustainable Living and Green Earth !!
|
|
|
|
|
|
Director
Joined: 01 Feb 2011
Posts: 788
Followers: 11
Kudos [?]:
64
[0], given: 42
|
Re: please explain the answer how the authore arrives to that [#permalink]
30 Apr 2011, 20:59
1. Not sufficient
n could be even or odd
2. Sufficient n is even +odd => n is odd
Answer is B.
|
|
|
|
|
|
|
Re: please explain the answer how the authore arrives to that
[#permalink]
30 Apr 2011, 20:59
|
|
|
|
|
|
|
|
|
|
|