Is the positive integer P a multiple of 11

Question

P = M+N where M and N are integers
  M is divisible by 11 and N is not divisible by 11

chetan2u · Answer

Hi  Chiragjordan ,
the Q is quite straight forward to be anywhere close to 700..
what is the source and do they give difficulty status...

P = M+N where M and N are integers
11= 6+5 ...YES
20 = 9+11... NO
Insuff

M is divisible by 11 and N is not divisible by 11
No relation between M, N and P
Insuff

Combined--
P is sum of two integers -- one a multiple of 11 and other NOt..
so ans will always be NO
Suff

C

stonecold · Answer

Hey i cannot seem to edit the post 
Delete any of the posts etc.
Has there been any change to this community or i am the sole user experiencing it.
Thanks

techiesam · Answer

I don't think this is a 700 level question. Even if someone takes a random guess ,then he will have to choose between C and E only.

stonecold · Answer

i cannot seem to edit the tags ..
Please feel free to change the difficulty to 600 level..
Thanks

JeffTargetTestPrep · Answer

We need to determine if P is a multiple of 11.

Statement One Alone:

P = M+N where M and N are integers.

Since we have no information regarding the values of M or N, statement one alone is not sufficient to answer the question.

Statement Two Alone:

M is divisible by 11 and N is not divisible by 11.

Since we have no information about P, statement two alone is not sufficient to answer the question.

Statements One and Two Together:

Since P = M + N, and since M is a multiple of 11, but N is not, there is no possible way for P to be a multiple of 11. So the answer to the question is no.

Answer: C

BrentGMATPrepNow · Answer

Target question :    Is P a multiple of 11

Statement 1 : P = M+N where M and N are integers  
Definitely NOT SUFFICIENT

Statement 2 : M is divisible by 11 and N is not divisible by 11  
Since there's no information about P, there's no way to answer the  target question 
Statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined    
Statement 1 tells us that P = M+N where M and N are integers
Statement 2 tells us that M is divisible by 11 and N is not divisible by 11

Here are some nice divisibility rules:
  1. If integers A and B are each divisible by integer k, then (A + B) is divisible by k
2. If integers A and B are each divisible by integer k, then (A - B) is divisible by k
3. If integer A is divisible by integer k, BUT integer B is NOT divisible by integer k, then (A + B) is NOT divisible by k
4. If integer A is divisible by integer k, BUT integer B is NOT divisible by integer k, then (A - B) is NOT divisible by k

So, when we apply   Rule #3  , we can conclude that M+N is NOT divisible by 11
Since P = M+N, we can conclude that  P is NOT divisible by 11 
Since we can answer the  target question  with certainty, the combined statements are SUFFICIENT

Answer: C

Cheers,
Brent

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Is the positive integer P a multiple of 11

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Is the positive integer P a multiple of 11

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