72) Is x < 6

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72) Is x < 6

by ern5231 » Wed May 12, 2010 5:19 am
x,y,z are integers such that 0<x<y<z. Is X < 6?
1) z> 10
2) x + y + z = 18

OA given is B but I feel it should be E

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by liferocks » Wed May 12, 2010 7:12 am
From 1
we cannot conclude anything
From2
Since 0<x<y<z
x+y+z=3x+k..where k is non zero integer

so 3x+k=18..now the maximum possible integer value of x is 5 which will satisfy this equation

hence X<6..sufficient

Ans B
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by iamseer » Wed May 12, 2010 8:28 am
from 1:
we know
x<y<=10
x can be <6 or =6 or >6
Not Sufficient

from 2:
x + y + z = 18
If x takes any value >=6 then y+z<=12 So either y or z will become less than or equal to x. that can't be since x<y<z
so, x<6

answer B
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