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# What is the value of integer k?

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Math Expert
Joined: 02 Sep 2009
Posts: 54370
What is the value of integer k?  [#permalink]

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22 Aug 2017, 03:20
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25% (medium)

Question Stats:

85% (00:29) correct 15% (00:55) wrong based on 36 sessions

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What is the value of integer k?

(1) k/2 is an integer
(2) k is prime

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What is the value of integer k?  [#permalink]

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22 Aug 2017, 04:17
Bunuel wrote:
What is the value of integer k?

(1) k/2 is an integer
(2) k is prime

(1) k/2 is an integer
K can be any even integer
Not sufficient

(2) k is prime
K can be any prime number
Not sufficient

Combining 1 and 2 , we get
K is prime and even . K is 2 .

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Re: What is the value of integer k?  [#permalink]

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22 Aug 2017, 05:21
Ans: C

(1): k/2 is an integer
As per given statement "k" is an integer and k/2 is also an integer. Based on this k can only be multiple of 2 and it could be any value like 2,4,6,8....

Hence, Insufficient

(2) k is prime
It can be any prime number.

Hence, Insufficient.

Combining (1) and (2), K is 2.

Ans: C
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Re: What is the value of integer k?  [#permalink]

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23 Aug 2017, 03:12
value of k ?
statement 1 : k/2 is an integer means that k can take all values which are multiples of 2 i.e. 2,4,6,8,10.... and so on as all of them when divided by 2 would result in an integer value. hence insufficient
Statement 2 : k is prime, means that k can take values of 2,3,5,7,11.. and so on and hence is insufficient.

St 1 + St 2 = shows the value common to both sets and satifying both statements i.e. k=2 as 2 is the only even prime number and when divided by 2 would result in an integer.

hence answer is C as both statements together are sufficient.
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Re: What is the value of integer k?  [#permalink]

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23 Aug 2017, 03:22
Bunuel wrote:
What is the value of integer k?

(1) k/2 is an integer
(2) k is prime

(1) k can take any even (+ve or -ve) integer..not sufficient

(2) k can take 2,3, 5, 7,......

on combining k can only take 2 (only even prime)
C
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Re: What is the value of integer k?   [#permalink] 23 Aug 2017, 03:22
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# What is the value of integer k?

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