CAT Quantitative Ability Questions | CAT Algebra questions

CAT/2003

Question . 132

If x and y are integers then the equation 5x + 19y = 64 has

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Explanatory Answer

Method of solving this CAT Quantitative Ability Question from Algebra question

(c) 5x + 19y = 64

We see that if y = 1, we get an integer solution x = 9,

Now if y changes (increases or decreases) by 5,

x will change (decrease or increase) by 19

Looking at options, if x = 256, we get, y = 64

Using these values we see option a, b and d which are eliminated and also that there exists a solution for

250 < x < 300.