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Question


Find the remainder when 755 is divided by 29.


Options:
A .   4
B .   25
C .   1
D .   0
E .   3q+ r
Answer: Option B
:
B

We need to use reverse of Euler's theorem as the Euler's number for 29=28.


And the question reduces to (72729) (Rem).


The right answer multiplied by 7, should give a remainder of 1 when divided by 29, as (72829) (Rem) = 1.


Thus, the answer is option (b).


Verification -


25 or (4)×7= -28 remainder of 1.



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