1.

If x belongs to the set of residues modulo 10, then the common solution of `5 + x -= 0` (mod 3) and `6 + x -= 0` (mod 5) is ________.A. 1B. 2C. 4D. 5

Answer» Correct Answer - C
`Z_(10) = {0,1,2,3,4,5,6,7,8,9}` and `x in Z_(10) 5+x -= 0` (mod 3) `rArr x = 1, 4` and 7
`6 + x -= 0` (mod 5) `rArr x = 4` and 9
`:.` Common solution is x = 4.


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