The remainder when 757575 is divide by 37.
a) 0
b) 1
c) 5
d) 7
Answer: b
Explanation: $$\frac{{{{75}^{{{75}^{75}}}}}}{{37}}$$
When 75 is divided by 37, it leaves remainder of 1.
The expression will become,
$$\frac{{{1^{{{75}^{75}}}}}}{{37}}$$
Now, for any power of 1, we always get 1 and expression becomes $$\frac{1}{{37}}$$ that leaves remainder 1
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