A) \[5\]
B) \[0\]
C) \[2\]
D) \[1\]
Correct Answer: A
Solution :
We have, \[{{5}^{124}}={{({{5}^{3}})}^{41}}.5\] Now, \[{{5}^{3}}=1(\bmod \,\,124)\] \[\therefore \] \[{{({{5}^{3}})}^{41}}=1(\bmod \,124)\] \[{{({{5}^{3}})}^{41}}.5=1.5(\bmod \,124)\] \[\Rightarrow \] \[{{5}^{124}}=5\,(\bmod \,124)\]You need to login to perform this action.
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