CAT Linear Equations

Question
(|x| -3) (|y| + 4) = 12. How many pairs of integers (x, y) satisfy this equation?
  1. 4
  2. 10
  3. 6
  4. 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

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