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Is it true that l ≠ m ?

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Is it true that l ≠ m ?  [#permalink]

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New post 06 Jun 2016, 11:16
8
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A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

64% (00:54) correct 36% (00:37) wrong based on 150 sessions

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Is it true that l ≠ m ?

(1) lm = 10

(2) mn = 10

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Md. Abdur Rakib

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Sentence Correction-Collection of Ron Purewal's "elliptical construction/analogies" for SC Challenges

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Is it true that l ≠ m ?  [#permalink]

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New post 06 Jun 2016, 11:46
AbdurRakib wrote:
Is it true that l ≠ m ?

(1) lm = 10

(2) mn = 10



(1) lm = 10

here l & m can take any values

l = 1 ; m = 10
l = 2 ; m = 5
l = 4 ; m = 2.5
..........

(2) mn = 10

Same here -

n = 1 ; m = 10
n = 2 ; m = 5
n = 4 ; m = 2.5
..........


Combine (1) and (2)

lm = mn

l = n

So, THe 2 statements together are not sufficient to solve this question, IMHO (E)....

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Is it true that l ≠ m ?  [#permalink]

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New post 06 Jun 2016, 11:59
AbdurRakib wrote:
Is it true that l ≠ m ?

(1) lm = 10

(2) mn = 10


St1: lm = 10
l = sqrt(10) and n = sqrt(10) --> l = m
l = 10 and m = 1 --> l ≠ m
Not Sufficient

St2: mn = 10 --> Clearly Insufficient as we have no info about l

Combining St1 and St2: l = sqrt(10); m = sqrt(10) and n = sqrt(10) --> l = m
l = 10; m = 1 and n = 10 --> l ≠ m
Not Sufficient

Answer: E
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Re: Is it true that l ≠ m ?  [#permalink]

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New post 14 Oct 2016, 12:12
GMATGoals390 wrote:
But wouldn't it be A since you can prove that l does not equal m which satisfies the question?


Bro, That's the first part of the story...

The path of solving any DS problem is as follows -
Attachment:
eHfwSmQ.png
eHfwSmQ.png [ 18.34 KiB | Viewed 1166 times ]


So, we have to go all the way till (E) for this particular problem..

Hope this helps !! :-D
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Re: Is it true that l ≠ m ?  [#permalink]

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New post 14 Dec 2017, 06:46
(1) l*m=10^1/2*10^1/2 NO, they are equal
l*m=2*5 YES, they are not equal
Insufficient
(2) no info about l
Insufficient
(1)+(2)
example from (1) statement applies to both statements as well and shows that it is still insufficient

Answer E
Re: Is it true that l ≠ m ? &nbs [#permalink] 14 Dec 2017, 06:46
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