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# What is the value of a positive integer k? 1) When k is divided by 5,

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Math Revolution GMAT Instructor
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What is the value of a positive integer k? 1) When k is divided by 5,  [#permalink]

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21 Aug 2017, 01:21
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25% (medium)

Question Stats:

74% (01:16) correct 26% (01:17) wrong based on 71 sessions

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What is the value of a positive integer k?

1) When k is divided by 5, the remainder is 3.
2) When k is divided by 3, the remainder is 2.

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What is the value of a positive integer k? 1) When k is divided by 5,  [#permalink]

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21 Aug 2017, 01:32
1
Both the statements combined
The value of K can be 8,38,53,68 multiple values
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Joined: 31 Jul 2017
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Re: What is the value of a positive integer k? 1) When k is divided by 5,  [#permalink]

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21 Aug 2017, 01:42
siva1976 wrote:
Both the statements combined
The value of K can be 8,38,53,68 multiple values

Can you explain the logic?

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What is the value of a positive integer k? 1) When k is divided by 5,  [#permalink]

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21 Aug 2017, 04:08
When both statements are combined the values of k can be 15a+8
When a=0
k=8
8 when divided by 3 leaves a remainder of 2 and a remainder of 3 when divided by 5
The next number in the series is 23 =15x1+8
38 is the next Number when a=2
38=3x12+2=5x7+3
53=3x17+2=5x10+3
So K can have multiple values
Both statements are not sufficient to answer the question.
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Re: What is the value of a positive integer k? 1) When k is divided by 5,  [#permalink]

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21 Aug 2017, 04:47
Ans is C .. both the statements combined will give you a 2 var eq. That u can solve but don't need to since it is a DS q.

2eq. Are cal using for. --> i=d.q+r.

Therefore, eq1= 5q+3=k
And eq2 = 3q+2=k
Both combined can give value of k.

Ans is C.

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Re: What is the value of a positive integer k? 1) When k is divided by 5,  [#permalink]

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23 Aug 2017, 01:19
=> Condition 1) & 2)
k = 8, 23, …
Both conditions together are not sufficient either.

Ans: E
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Re: What is the value of a positive integer k? 1) When k is divided by 5,  [#permalink]

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23 Aug 2017, 03:01
MathRevolution wrote:
What is the value of a positive integer k?

1) When k is divided by 5, the remainder is 3.
2) When k is divided by 3, the remainder is 2.

(1) tells us that k can take 3,8,13,18,23,28,31.....not sufficient

(2) tells us that k can take 2,5,8,11,14,17,20,23...not sufficient

on combining also k can take 8,23....

not sufficient
E
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Re: What is the value of a positive integer k? 1) When k is divided by 5,   [#permalink] 23 Aug 2017, 03:01
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