Assertion (A) : The number $5^{n}$ cannot end with the digit 0 , where $n$ is a natural number.\ Re

Question

Assertion (A) : The number $5^{n}$ cannot end with the digit 0 , where $n$ is a natural number.\ Reason (R) : Prime factorisation of 5 has only two factors, 1 and 5.\

Professor PC Thomas Classes · Answer

(b): Any number that ends with the digit 0 must have a prime factorisation that includes atleast one factor of 2 and atleast one factor of 5.\ Since, $5^{n}$ has only one prime factor of 5, so it cannot end with the digit 0 .\ Clearly, both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).\