Question

find the remainder when {26(26^2 +20)} + (37^5 - 37) is divided by 48.​

Answer 1

{26(26^2 +20)} + (37^5 - 37)

= {26(676 +20)} + (69343957 - 37)

= 26(696) + 69343920

= 18096 + 69343920

= 69362016

now, 69362016 divided by 48.

= 48) 69362016 (1445042

48

_________

213

192

_________

216

192

_________

242

240

_________

201

192

__________

96

96

_________

×

ans= 1445042