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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