If \( 77\equiv x(mod\ 4) \) , then the least positive value of \( x \) is :
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 1
\( 77\equiv x\pmod 4 \) means that 77 and x leave the same remainder when divided by 4:
\( \displaystyle 77=4\times 19+1 \)
So x is 1 more than a multiple of 4: x = 1, 5, 9, 13, …
The least positive value is x = 1.