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**Type : **MCQ

Comment on the following statements:

Statement A: Let x be a rational number whose decimal expansion terminates. Then x can be expressed in $\genfrac{}{}{0.1ex}{}{p}{q}$, where p and q are co-prime, and the prime factorisation of q is of the form ${2}^{n}\cdot {5}^{m}$, where n, m are non-negative integers.

Statement B: Let $x=\genfrac{}{}{0.1ex}{}{p}{q}$ be a rational number such that prime factorization of q is not of the form ${2}^{n}\cdot {5}^{m}$ where n, m are non-negative integers, and p and q are co-prime. Then x has a decimal expansion which is non-terminating and repeating.