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k is an integer from 1 to 9 inclusive. If N = 29736 + k , what is the

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k is an integer from 1 to 9 inclusive. If N = 29736 + k , what is the [#permalink]

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k is an integer from 1 to 9 inclusive. If N = 29736 + k , what is the value of k ?

(1) N is divisible by 9

(2) N is divisible by 5


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Re: k is an integer from 1 to 9 inclusive. If N = 29736 + k , what is the [#permalink]

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New post 01 Apr 2015, 05:39
Bunuel wrote:
k is an integer from 1 to 9 inclusive. If N = 29736 + k , what is the value of k ?

(1) N is divisible by 9

(2) N is divisible by 5


Kudos for a correct solution.


1. 2+9+7+3+6=27=9; 29736 is divisible by 9. Therefore k has to either be 0 or a multiple of 9 to keep N divisible by 9.
k cannot be 0 and the only multiple of 9 between 1 and 9 is 9.
Therefore, k=9

2. N = 29740--->k=4
OR N = 29745--->k=9

Not Sufficient.

Answer: A
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Re: k is an integer from 1 to 9 inclusive. If N = 29736 + k , what is the [#permalink]

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New post 01 Apr 2015, 05:43
Bunuel wrote:
k is an integer from 1 to 9 inclusive. If N = 29736 + k , what is the value of k ?

(1) N is divisible by 9

(2) N is divisible by 5


Kudos for a correct solution.



(1) N is divisible by 9

N = 29736 + k is divisible by 9
as 29736 is divisible by 9 so K should be divisible by 9 .
only K=0,9 fits into criteria . but given is 1<=K<=9 , so K=9 .
Sufficient.

(2) N is divisible by 5

K can be 4 , 9
Not sufficient.

Answer A
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Re: k is an integer from 1 to 9 inclusive. If N = 29736 + k , what is the [#permalink]

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New post 02 Apr 2015, 16:12
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Bunuel wrote:
k is an integer from 1 to 9 inclusive. If N = 29736 + k , what is the value of k ?

(1) N is divisible by 9

(2) N is divisible by 5


Kudos for a correct solution.


1) For N to be divisible by 9,
The sum of the digits must be divisible by 9.
2+9+7+3+6 = 27. So from 1 to 9, the only value K can take so that N is divisible by 9 is 9 itself so sum of digits is 36.

hence k = 9
Sufficient Alone.

2) For N to be divisible by 5, K can be 4 as 29740 or k can be 9 as 29745, both are divisible by 5.
Clearly insufficient.

Hence Option 1 alone is sufficient.

Answer:A
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Re: k is an integer from 1 to 9 inclusive. If N = 29736 + k , what is the [#permalink]

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New post 03 Apr 2015, 15:50
K can be anything from 1to9; N=29736+K
Add up all the digits of N=27+K
1. N is divisible by 9; to be divisible by 9 sum of the digits should be divisible by 9. So K can have only value as 9 so that N can be divisible by 9. Sufficient
2. N is divisible by 5; to be divisible by 5 last digit can be 0 or 5, so K can have two values 4 or 9. So not sufficient
Hence answer is A
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Re: k is an integer from 1 to 9 inclusive. If N = 29736 + k , what is the [#permalink]

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New post 06 Apr 2015, 06:11
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Bunuel wrote:
k is an integer from 1 to 9 inclusive. If N = 29736 + k , what is the value of k ?

(1) N is divisible by 9

(2) N is divisible by 5


Kudos for a correct solution.


MAGOOSH OFFICIAL SOLUTION:
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29736plusk_text.PNG [ 24.21 KiB | Viewed 1999 times ]


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New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

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.


What are GMAT Club Tests?
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Re: k is an integer from 1 to 9 inclusive. If N = 29736 + k , what is the [#permalink]

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Re: k is an integer from 1 to 9 inclusive. If N = 29736 + k , what is the   [#permalink] 23 May 2017, 07:36
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