### CAT Linear Equations

**Question**

(|x|
-3) (|y| + 4) = 12. How many pairs of integers (x, y) satisfy this equation?

- 4
- 10
- 6
- 8

**Answer: Choice (B)**

**Explanatory Answer**

Product
of two integers is 12. Further |y| + 4

__>__4 . So, we know that one of the numbers has to be greater than 4.
So,
we can have

1
x 12 => x =

__+__4, y =__+__8
2
x 6 => x =

__+__5, y =__+__2
3
x 4 => x =

__+__6, y = 0
4
+ 4 + 2 = 10 possible solutions

Labels: 2IIM, 2iim Chennai, CAT 2013 questions, CAT Coaching classes, CAT Coaching classes Chennai, CAT Linear Equations

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