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## Integers

This topic has 1 member reply
irock Senior | Next Rank: 100 Posts
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#### Integers

Fri Jun 03, 2011 1:06 am
Is the range of the integers 6, 3, y, 4, 5, and x greater
than 9 ?

(1) y > 3x
(2) y > x > 3

OA C

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cans Legendary Member
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Fri Jun 03, 2011 1:13 am
integers are 3,4,5,6,x,y
range = largest-smallest
a)y>3x. if x=1, y>3 let it be 4. Range = 6-1 = 5<9
if x=1, y>3 let it be 100 range = 100-1 = 99>9
insufficient
b)y>x>3
x=4,y=5 => range = 6-3 = 3 <9
x=10,y=13 =>range = 13-3=10> 9
Insufficient
a&b together) y>3x and x>3
it means x is atleast 4 and thus y>12 or y is atleast 13
range=y-3 = as min y is 13, y-3 is minimum 10 thus range >9
Sufficient
IMO C

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