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What is the remainder when the positive integer n is divided

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What is the remainder when the positive integer n is divided [#permalink] New post 25 Feb 2011, 06:20
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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
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Re: please explain the answer how the authore arrives to that [#permalink] New post 25 Feb 2011, 06:40
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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.
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Re: please explain the answer how the authore arrives to that [#permalink] New post 25 Feb 2011, 10:15
Answer should be B.

If divided by 10 ,and the remainder is odd, then remainder will always be 1 when divided by 2
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Re: please explain the answer how the authore arrives to that [#permalink] New post 25 Feb 2011, 10:23
Clear B. 2) tells me precisely that n is odd. Hence reminder is 1 when n is divided by 2.
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Re: please explain the answer how the authore arrives to that [#permalink] New post 30 Apr 2011, 17:35
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
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Re: please explain the answer how the authore arrives to that [#permalink] New post 30 Apr 2011, 19:03
Clear B, as 10 is a multiple of 2.Since the remainder is an odd number meaning it is always 1.
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Re: please explain the answer how the authore arrives to that [#permalink] New post 30 Apr 2011, 19:59
1. Not sufficient

n could be even or odd

2. Sufficient
n is even +odd => n is odd

Answer is B.
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Re: What is the remainder when the positive integer n is divided [#permalink] New post 10 Oct 2013, 10:36
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Re: What is the remainder when the positive integer n is divided [#permalink] New post 08 Jul 2014, 02:38
Bunuel wrote:
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.



Bunuel,

how can the remainder of n/5 be 11 or 6 and so on? Isn't it always between 1 and 4? e.g. 9/ 5 = 1+4 or 23 / 5 = 1+3.
What am I getting wrong here?
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What is the remainder when the positive integer n is divided [#permalink] New post 08 Jul 2014, 03:34
Expert's post
unceldolan wrote:
Bunuel wrote:
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.



Bunuel,

how can the remainder of n/5 be 11 or 6 and so on? Isn't it always between 1 and 4? e.g. 9/ 5 = 1+4 or 23 / 5 = 1+3.
What am I getting wrong here?


Those are possible values of n, not the possible values of the remainders upon division n by 5.
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NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

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; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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. ,11 Mixed Questions, 12 Fresh Meat

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., 11 New DS set.


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What is the remainder when the positive integer n is divided   [#permalink] 08 Jul 2014, 03:34
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