x and y are integers

x + y < 11 , and x > 6

What is the smallest possible value of x - y ?

A 1

B 24

C 4

D  -2

Solution

Correct Answer: Option C

The smallest value will be obtained by giving x the smallest possible value while y gets the largest possible value. The smallest value for x = 7. This means that y will have to be less than or equal to 3 (so that x + y <11), but we want the largest value of y which is 3.

The difference, x - y will be 4.

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