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If j is an integer, is k an integer?

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Math Expert
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V
Joined: 02 Sep 2009
Posts: 42604

Kudos [?]: 135673 [0], given: 12706

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

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New post 27 Dec 2016, 07:59
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

45% (01:18) correct 55% (00:43) wrong based on 51 sessions

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Kudos [?]: 135673 [0], given: 12706

Director
Director
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P
Joined: 05 Mar 2015
Posts: 966

Kudos [?]: 301 [0], given: 41

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

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New post 27 Dec 2016, 09:12
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

Kudos [?]: 301 [0], given: 41

Senior Manager
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S
Joined: 15 Jan 2017
Posts: 341

Kudos [?]: 5 [0], given: 771

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

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New post 15 Nov 2017, 14:30
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 :)

Kudos [?]: 5 [0], given: 771

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Manager
Manager
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S
Joined: 09 Mar 2017
Posts: 82

Kudos [?]: 26 [1], given: 1

Location: Indonesia
Concentration: General Management, Finance
Schools: Erasmus '18 (A)
GMAT 1: 670 Q47 V36
GPA: 2.8
Re: If j is an integer, is k an integer? [#permalink]

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New post 15 Nov 2017, 17:36
1
This post received
KUDOS
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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Kudos [?]: 26 [1], given: 1

Re: If j is an integer, is k an integer?   [#permalink] 15 Nov 2017, 17:36
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