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
Answer : Option 1
\(\frac{p}{q}\) terminates after 8 digits
Decimal representation of \(\frac{p}{q}\) is terminating
\(\implies\) Factors of q should be of the form \(x^m * y^n\)
\(\implies\) \(x +y = 2 +5 = 7\)
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