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OG PS - 184

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Senior Manager
Senior Manager
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Joined: 25 Nov 2006
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Schools: St Gallen, Cambridge, HEC Montreal
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OG PS - 184 [#permalink] New post 19 Jun 2007, 10:01
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A
B
C
D
E

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0% (00:00) correct 0% (00:00) wrong based on 0 sessions
Hello there,

OG PS 184 is


If the two-digit integers M and N are positive and have the same digits, but in reverse order, which of the following CANNOT be the sum of M and N?

A - 181
B - 165
C - 121
D - 99
E - 44


I'm interested in the method to solve this. Can someone please help me?
Senior Manager
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 [#permalink] New post 19 Jun 2007, 10:59
It is actually a simple question. Answer is A

Let the numbers be 10x + y and 10y + x
So their sum is 11(x+y)
only 181 is not a multiple of 11
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 [#permalink] New post 19 Jun 2007, 11:24
lumone wrote:
dahcrap wrote:
It is actually a simple question. Answer is A

Let the numbers be 10x + y and 10y + x
So their sum is 11(x+y)
only 181 is not a multiple of 11


How did you come to 10x + y and 10y + x?


in every two digit number (i.e xy) the first digit (i.e x) equal to x*10 and the second digit equal to y*1

81 = 8*10+1*1
55 = 5*10+5*1
6545 = 6*1000+5*100+4*10+5*1

:-D
Senior Manager
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 [#permalink] New post 20 Jun 2007, 12:44
A
All other nos can be split up into two nos with both digits being equal
  [#permalink] 20 Jun 2007, 12:44
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OG PS - 184

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