CAT 1999 Question 3

Question 3

The remainder when $$7^{84}$$ is divided by $$342$$ is :

Solution

$$7^3$$ = 343

$$7^{84}$$ = $$(7^3)^{28}$$ = $$343^{28}$$

$$343^{28}$$ mod 342 = $$1^{28}$$ mod 342 = 1



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