Multiple Choice Questions

The number of pairs x y where x y are integers satisfying the equation 21x 48y 5 is ........

Quantitative Aptitude (CDS) Algebra

The number of pairs (x, y) where x, y are integers satisfying the equation 21x + 48y = 5 is

zero

one

two

infinity

21x+48y=5
⇒7x+16y=5/3

Now, for any integral value of x and y, the LHS is an integer. But, RHS is not an integer.

So, the equation 21x+48y=5 has no solution in integers for x and y.
Thus, the number of pairs (x, y) satisfying the given equation is zero

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