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If j is an integer, is k an integer?

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If j is an integer, is k an integer? [#permalink]

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New post 27 Dec 2016, 08:59
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

46% (01:15) correct 54% (00:42) wrong based on 57 sessions

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Re: If j is an integer, is k an integer? [#permalink]

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New post 27 Dec 2016, 10:12
Bunuel wrote:
If j is an integer, is k an integer?

(1) j – 2k is an integer.
(2) 5k – j is an integer.



let j=10
(1) then, if k=1 then yes
k=1/2 No ....insuff

(2) k=1 then yes
k=1/5 then No...insuff..

combined k must be ineteger....suff

Ans C
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Re: If j is an integer, is k an integer? [#permalink]

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New post 15 Nov 2017, 15:30
rohit8865 wrote:
Bunuel wrote:
If j is an integer, is k an integer?

(1) j – 2k is an integer.
(2) 5k – j is an integer.



let j=10
(1) then, if k=1 then yes
k=1/2 No ....insuff

(2) k=1 then yes
k=1/5 then No...insuff..

combined k must be ineteger....suff


Ans C


Questions asks if k is an integer? J is already integer. (it can be positive or negative).

A) is quite clear, its is INSUFFICIENT

in B if, k = 0.2 (which is 1/5) --> 5(0.2) - j (the integer) --> 1 - 2 = -1 there fore k is NOT integer.(is j is 2, 3, 4.. since answer is an integer, so answer can be negative or positive).
On the other hand, if k =1 --> then 5 - 4 (if j = 4) --> 1 or 5 - (-2) --> 7. Again K is Integer.
So both are INSUFFICIENT.
Hence E

How is C the answer? Could you give me a little detail into the solving? Thank you, it would be highly appreciated :)
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Re: If j is an integer, is k an integer? [#permalink]

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New post 15 Nov 2017, 18:36
1
Madhavi1990 wrote:
rohit8865 wrote:
Bunuel wrote:
If j is an integer, is k an integer?

(1) j – 2k is an integer.
(2) 5k – j is an integer.



let j=10
(1) then, if k=1 then yes
k=1/2 No ....insuff

(2) k=1 then yes
k=1/5 then No...insuff..

combined k must be ineteger....suff


Ans C


Questions asks if k is an integer? J is already integer. (it can be positive or negative).

A) is quite clear, its is INSUFFICIENT

in B if, k = 0.2 (which is 1/5) --> 5(0.2) - j (the integer) --> 1 - 2 = -1 there fore k is NOT integer.(is j is 2, 3, 4.. since answer is an integer, so answer can be negative or positive).
On the other hand, if k =1 --> then 5 - 4 (if j = 4) --> 1 or 5 - (-2) --> 7. Again K is Integer.
So both are INSUFFICIENT.
Hence E

How is C the answer? Could you give me a little detail into the solving? Thank you, it would be highly appreciated :)

Hi,

There is no single non-integer which can be multiplied by either 2 or 5, and still results in an integer. So since the number results in an integer when multiplied by either 2 or 5, it must be an integer. Hope this helps!



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Re: If j is an integer, is k an integer?   [#permalink] 15 Nov 2017, 18:36
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