# Q) A number $$\frac{p}{q}$$, when expressed in decimal form , terminates after 7 digits , then the factors of q are of the form $$x^m * y^n$$ ; the value of $$x + y$$ should be : 1) 7 2) 14 3) 9 4) 26

$$\frac{p}{q}$$ terminates after 8 digits
Decimal representation of $$\frac{p}{q}$$ is terminating
$$\implies$$ Factors of q should be of the form $$x^m * y^n$$
$$\implies$$ $$x +y = 2 +5 = 7$$