WHAT IS THE REMAINDER WHEN 3040IS DIVIDED BY 17

AND WHAT IS THE REMAINDER WHEN 4386 IS DIVIDED BY 5? IS THERE ANY TRICK TO SOLVE SUCH QUESTIONS? PLEASE,PLEEEEEEEEASE MA'AM/SIR HELP ME OUT OF THIS PROBLEM

30 40 is divided by 17 

=(13+17)40/ 17 

Now in the expansion of  (13+17)20 each term will contain 17 except  first term which will be 13 40 . So the remainder will be the same either we divide by 30 40or 13 40 .

13 40 /17 =169 20 /17 = (170-1)20/17 

Again when we do the expansion each term will contain 170(which is perfectly divisible by 17) expect the last term which will 1 . So the remainder will be same as (-1)20 /17 = 1/17

i.e remainder will be 1 .

Hope this would have cleared your doubt . Try to solve the other question on the same concept . 

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