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if remainder of (5m+1)(5m+3)(5m+4)/5 is a natural number then find it

Asked by my3shyll | 11th Jul, 2016, 06:24: AM

Expert Answer:

$begin mathsize 12px style When space left parenthesis 5 straight m plus 1 right parenthesis comma space left parenthesis 5 straight m plus 3 right parenthesis space and space left parenthesis 5 straight m plus 4 right parenthesis space are space divided space by space 5 comma space the space remainders space are space 1 comma space 3 space and space 4 space respectively. So comma space the space remainder space when space fraction numerator left parenthesis 5 straight m plus 1 right parenthesis left parenthesis 5 straight m plus 3 right parenthesis left parenthesis 5 straight m plus 4 right parenthesis over denominator 5 end fraction equals fraction numerator 1 cross times 3 cross times 4 over denominator 5 end fraction equals 12 over 5 space is space 2. end style$

Answered by Rebecca Fernandes | 11th Jul, 2016, 08:51: AM

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