Q92 / 170 · Manipal (MET) 2017 · Mathematics

If $77 x \equiv 88(\bmod 5)$, then $x$ is equal to

  • Correct answer
    A
    4
  • B
    61
  • C
    59
  • D
    48

Solution

Give that, $77 x \equiv 88(\bmod 5)$ $\Rightarrow 77 x-88$ is divisible by 5 . $\begin{array}{rr} \therefore x=4 \\ \end{array}$ $[\because 77 \times 4-88=308-88=220 \text { is divisible by 5] }$

Hence, the correct answer is option: 'A'.

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