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x + y < 11 , and x > 6

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x + y < 11 , and x > 6

by sanju09 » Fri Jul 23, 2010 6:12 am
x and y are integers
x + y < 11 , and x > 6
What is the smallest possible value of x - y?
A. 1
B. 2
C. 4
D. -2
E. -4

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by kvcpk » Fri Jul 23, 2010 6:22 am
sanju09 wrote:x and y are integers
x + y < 11 , and x > 6
What is the smallest possible value of x - y?
A. 1
B. 2
C. 4
D. -2
E. -4

[spoiler]Source: majortests.com[/spoiler]
x + y < 11
x>6
x-y is smallest when y is maximum and x is minimum
let x=7 (minimum possible x)
hence y<4
For Y to be maximum, it should be 3

hence smallest possible value of x-y = 7-3 = 4

pick C
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by blaster » Fri Jul 23, 2010 6:26 am
as x>6 ,then let's say it's x=7.
then the possible range for y is [3;all the minus figures]

the smallest possible for this can be x-y=7-3=4

Pick C
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