answer the question
Attachments:
Answers
Answered by
1
solving these type of questions.
IT simply says that if an expression is divided by x and remainder is -a ( where a is positive) then actual remainder is x-a.
For example if after dividing an expression with 8 we find a remainder of -1 then actual remainder will be 8-1 i.e. 7.
Now let's use this concept:
25^49 can be written as
(26-1)^49
all the terms of expansion of this will have 26 as a factor and hence would be divisible by 13 (26= 13 X 2). Last term will be (-1)^49 i.e. -1
here remainder is negative while divided by 13. Hence using above concept remainder will be 13-1 i.e. 12.
sadwik:
thank you
how do we know last remainder as (-1)^49
Because we get from binomial theorem that all the expressions except the last one must contain 26. I suggest you please read the binomial theorem. And the last expression will be (-1)^49=-1. So the remainder is 13-1=12. Hope you understand.
Similar questions