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# If j and k are integers and jk = 12, what is the value of k ?

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If j and k are integers and jk = 12, what is the value of k ? [#permalink]

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Updated on: 05 Sep 2015, 04:17
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Difficulty:

65% (hard)

Question Stats:

51% (00:53) correct 49% (00:53) wrong based on 180 sessions

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If j and k are integers and jk = 12, what is the value of k ?

(1) j/6 is an integer

(2) k/2 is an integer.

Originally posted by archit25 on 04 Sep 2015, 06:55.
Last edited by Bunuel on 05 Sep 2015, 04:17, edited 2 times in total.
Renamed the topic and formatted the question
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Re: If j and k are integers and jk = 12, what is the value of k ? [#permalink]

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04 Sep 2015, 07:02
1
archit25 wrote:
If j and k are integers and jk = 12, what is the value of k ?

STATEMENT 1: j/6 is an integer

STATEMENT 2: k/2 is an integer.

PS: consider kuds

As for the question,

jk=12 , j,k $$\in$$integer

Per statement 1, j/6 = integer ---> j = -12 or -6 or 0 or 6 or 12. For j = -12, k = -1 but with j = 12, k = 1 . Thus this statement is NOT sufficient.

Per statement 2, k/2 = integer ---> k=even. Thus this statement is NOT sufficient.

Combining, you get, j/6 = integer and k = even

Thus the following cases satisfy the above 2 conditions:

J=-6, k = -2 and
j=6, k =2.

Thus still you get 2 different values of k and hence E is the correct answer.
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Re: If j and k are integers and jk = 12, what is the value of k ? [#permalink]

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04 Sep 2015, 13:53
If j and k are integers and jk = 12, what is the value of k ?

STATEMENT 1: $$\frac{j}{6}$$ s an integer

STATEMENT 2: $$\frac{k}{2}$$ is an integer.
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Re: If j and k are integers and jk = 12, what is the value of k ? [#permalink]

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04 Sep 2015, 14:09
1
AbdurRakib wrote:
If j and k are integers and jk = 12, what is the value of k ?

STATEMENT 1: $$\frac{j}{6}$$ s an integer

STATEMENT 2: $$\frac{k}{2}$$ is an integer.

SEARCH FOR A QUESTION BEFORE POSTING.

Refer above for solution

Topics merged
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Re: If j and k are integers and jk = 12, what is the value of k ? [#permalink]

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06 Sep 2015, 20:34
jk = 12 and j,k are integers.

From Statement 1,
j/6 = integer. This implies j can be -6, -12, 6, 12
This gives us multiple values of k. NOT SUFFICIENT

From Statement 2,
k/12 = integer. This implies k = -2, -4, -6, -12, 2, 4, 6, 12
Mutiple values of k, NOT SUFFICIENT

Combining both the statement,
We can have two pairs of values for j,k: (6, 2) and (-6, -2)
We still do not have a unique answer. NOT SUFFICIENT

Correct Option E
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If j and k are integers and jk = 12, what is the value of k ? [#permalink]

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07 Sep 2015, 07:24
Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and equations ensures a solution.

If j and k are integers and jk = 12, what is the value of k ?

(1) j/6 is an integer

(2) k/2 is an integer.

In the original condition we have 2 variables (j,k) and 1 equation (jk=12) thus we need 1 more equation to match the number of variables and equations. Since there is 1 each in 1) and 2), D is likely the answer.
In case of 1), the multiple of j=6 -> 6,-6 --> k=2,-2 therefore the answer is not unique, and the condition is not sufficient
In case of 2), the multiple of k=2 -> 2,-2, therefore the answer is not unique, and the condition is not not sufficient
Using both 1) & 2) k=2,-2 therefore it is not unique and thus the conditions are not not sufficient. therefore the answer is E
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Re: If j and k are integers and jk = 12, what is the value of k ? [#permalink]

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15 Sep 2017, 08:31
=> j and k are integers
=> jk = 12
Find k ?

jk =12 = 1*12 = 2*6 =3*4 = -1 *-12 = -2* -6 = -3 * -4

(1) j/6 is an integer
By looking at above and j/6= integer => j = {12,6, -6, -12} => k = {1,2, -1, -2}
Insufficient

(2) k/2 is an integer.
By looking at above and k/2= integer => k = {2,4,6,12, -2, -4, -6, -12)
Insufficient

1+2
=> k = -2 or 2
Insufficient

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Re: If j and k are integers and jk = 12, what is the value of k ? [#permalink]

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15 Sep 2017, 09:03
Hello everyone,

I have a question? Where and answers (A,B,C...) of the posted questions? I just see the CORRECT answers?

Regards,
Sep.
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Re: If j and k are integers and jk = 12, what is the value of k ? [#permalink]

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15 Sep 2017, 09:07
sepehr23 wrote:
Hello everyone,

I have a question? Where and answers (A,B,C...) of the posted questions? I just see the CORRECT answers?

Regards,
Sep.

This is a data sufficiency question. Options for DS questions are always the same.

The data sufficiency problem consists of a question and two statements, labeled (1) and (2), in which certain data are given. You have to decide whether the data given in the statements are sufficient for answering the question. Using the data given in the statements, plus your knowledge of mathematics and everyday facts (such as the number of days in July or the meaning of the word counterclockwise), you must indicate whether—

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
C. BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
E. Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

I suggest you to go through the following posts:
ALL YOU NEED FOR QUANT.

Hope this helps.
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Re: If j and k are integers and jk = 12, what is the value of k ? [#permalink]

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15 Sep 2017, 13:10
From First statement we have
Two values of j i.e 12 and 6
From second statement we have 4 values of k
2,4,6,12
Taken together we still can not find the value of k
Hence E

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Re: If j and k are integers and jk = 12, what is the value of k ? [#permalink]

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16 Sep 2017, 01:55
Dear Bunuel,

It helped ! Thank you for the post.
Sep.
Re: If j and k are integers and jk = 12, what is the value of k ?   [#permalink] 16 Sep 2017, 01:55
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