InterviewSolution
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InterviewSolution
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If two positive integers `m`and `n` are expressible in the form `m=p q^3`and `n=p^3q^2`, where `p , q`are prime numbers, thenHCF `(m , n)=`A. `pq`B. `pq^(2)`C. `p^(3)q^(3)`D. `p^(2)q^(2)` |
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Answer» Correct Answer - B Given that `a-x^(3)y^(2)=x xx x xx x xx y xx y` and `b=xy^(3)= x xx y xx y xx y` `therefore HCF` of a and b `=HCF(x^(2)y^(2),xy^(3))=x xx y xx y=xy^(2)` [Since, HCF is the product of the smallest power of each common prime facter involed is the number] |
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