Question: 1 lef a be an integer. Prove that there exists an integer K such that 92 = 3k or 92 = 3k+1 2 find quation

1 lef a be an integer. Prove that there exists an integer K such that 92 = 3k or 92 = 3k+1 2 find quation 9 8 the reminder 'r' as defined in division algorithm q q = 500; b=17. 3 Given that 9 and a' are integers , 9 7 1, 9 / ( 1121 + 3 ), and 9 (5 5 + 52 ) , find d . 4 If KEN, prove that god ( 3 k + 2, 5 k+ 3 ) 21 G [ BB J Suppose 9 8 b are integers with same remainder upon division by some natural numbern. proce ; n1(9 -b). D IBBJ lef 9 8 b be integers. Prove, logt b is divisible by 7 if and only if at 5b is divisible by 7

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