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Question

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

CAT 2021

A
4
CORRECT ANSWER WRONG ANSWER
B
6
CORRECT ANSWER WRONG ANSWER
C
10
CORRECT ANSWER WRONG ANSWER
D
8
CORRECT ANSWER WRONG ANSWER
Solution

Correct option is

(C)

Explanatory Answer :

3x=33-4 |y|

When a multiple of 4 is subtracted from 33, we need to get a multiple of 3.

Since 33 is a multiple of 3, we have to subtract a multiple of 3 from it.

Y can be +ve or -ve.

All these values are possible: (3,6),(-1,9),(-5,12),(-9,15)..............

Therefore there are infinite integer values of x and y that are possible.

hence option D is correct