KCET · Maths · Mathematical Reasoning
A value of \(x\) satisfying \(150 x \equiv 35(\bmod 31)\) is
- A 14
- B 22
- C 24
- D 12
Answer & Solution
Correct Answer
(C) 24
Step-by-step Solution
Detailed explanation
\(\begin{array}{ll}
\text { Given, } & 150 x \equiv 35(\bmod 31) \\
\Rightarrow & 30 x \equiv 7(\operatorname{Mod} 31) \\
\Rightarrow & 31 \mid 30 x-7
\end{array}\)
Clearly, 24 satisfies this relation.
\text { Given, } & 150 x \equiv 35(\bmod 31) \\
\Rightarrow & 30 x \equiv 7(\operatorname{Mod} 31) \\
\Rightarrow & 31 \mid 30 x-7
\end{array}\)
Clearly, 24 satisfies this relation.
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