| Assertion (A): \[{{6}^{n}}\] ends with the digit zero, where n is natural number. |
| Reason (R): Any number ends with digit zero. if its prime factor is of the form \[{{2}^{m}}\times {{5}^{n}},\] where m, n are natural |
A) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A)
B) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A)
C) Assertion (A) is true but reason (R) is false
D) Assertion (A) is false but reason (R) is true
Correct Answer: D
Solution :
| Sol. [d] \[{{6}^{n}}={{(2\times 3)}^{n}}={{2}^{n}}\times {{3}^{n}},\] Its prime factors do not contain \[{{5}^{n}}\]i.e., of the form \[{{2}^{m}}\times {{5}^{n}},\] where m, n are natural numbers |
| Here, assertion is incorrect but reason is correct. |
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