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If $57=x(mod\, 4)$, what is the least positive value of x? |
2 1 3 4 |
1 |
The correct answer is option (2) : 1 Given $57 = x(mod\, 4)$ $57-x$ is divisible by 4. $57-x$ is a multiple of 4 $57-x= 4\lambda, \lambda \in I$ $x= 57- 4\lambda $ Put $\lambda = 14 $ $x= 57 - 4×14=1$ $\lambda = 15 $ $x= 57 - 4 × 15 = -3$ ∴ Least +ve value of $x = 1$ |
