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# What is the value of j + k?

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Math Expert
Joined: 02 Sep 2009
Posts: 50058
What is the value of j + k?  [#permalink]

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17 Feb 2015, 09:26
1
5
00:00

Difficulty:

55% (hard)

Question Stats:

48% (00:50) correct 52% (00:32) wrong based on 173 sessions

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What is the value of j + k?

(1) mj + mk = 2m
(2) 5j + 5k = 10

Kudos for a correct solution.

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Joined: 08 Jul 2010
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Re: What is the value of j + k?  [#permalink]

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17 Feb 2015, 11:41
Bunuel wrote:
What is the value of j + k?

(1) mj + mk = 2m
(2) 5j + 5k = 10

Kudos for a correct solution.

Question : j + k = ?

Statement 1: mj + mk = 2m
m (j + k) = 2m
i.e. m (j+k-2) = 0
i.e. either m = 0 OR j+k = 2
NOT SUFFICIENT

Statement 2: 5j + 5k = 10
i.e. 5(j +k) =10
i.e. j+k = 2
SUFFICIENT

Answer: Option
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Re: What is the value of j + k?  [#permalink]

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18 Feb 2015, 13:48
1
GMATinsight :
You solved it correctly but chose option A. It should be option B.
Math Expert
Joined: 02 Sep 2009
Posts: 50058
Re: What is the value of j + k?  [#permalink]

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22 Feb 2015, 11:44
1
Bunuel wrote:
What is the value of j + k?

(1) mj + mk = 2m
(2) 5j + 5k = 10

Kudos for a correct solution.

VERITAS PREP OFFICIAL SOLUTION

Solution: B.

While statement 1 may look sufficient at first, recognize that m could be 0 and the statement would be satisfied regardless of j and k. For example, j could be 9 and k could be 11, but if m is 0 the equation would be: 0(9) + 0(11) = 2(0). If m is not 0, then j + k must equal 2, as you could simply divide both sides by m to get j + k = 2. Because you can get multiple answers to the question, statement 1 is not sufficient.

Statement 2 is sufficient, as you can divide both sides by 5 to get j + k = 2. And remember to ask “Why Are You Here?” for statement 2. The fact that statement 2 is quite clearly sufficient should demonstrate to you that the difficulty in this question lies within statement 1. Statement 2 here is an invitation to go back and spend more time on statement 1 if you inadvertently just divided both sides by m and called it “sufficient”.
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Re: What is the value of j + k?  [#permalink]

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22 Feb 2015, 21:36
What is the value of j + k?

(1) mj + mk = 2m
(2) 5j + 5k = 10

State(1) m(j+k) = 2*m
case 1 - if m is not zero, j+k = 2
case 2 - if m = 0 , j+k may or may not be equal to 2.
So NOT Sufficient.

State(2) 5j+5k = 10
5*(j+k) = 10
j+k = 2
Sufficient.

Answer - B
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Re: What is the value of j + k?  [#permalink]

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29 Oct 2017, 17:25
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# What is the value of j + k?

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