A value of x satisfying 150 x ≡ 35(bmod 31) is

Correct answer: (C) 24. Given, 150 x ≡ 35(bmod 31) ⇒ 30 x ≡ 7(Mod 31) ⇒ 31 mid 30 x-7 Clearly, 24 satisfies this relation.

Q88 / 180 · KCET 2013 · Mathematics

A value of $x$ satisfying $150 x \equiv 35(\bmod 31)$ is

A
14
B
22
Correct answer
C
24
D
12

Solution

$\begin{array}{ll} \text { Given, } & 150 x \equiv 35(\bmod 31) \\ \Rightarrow & 30 x \equiv 7(\operatorname{Mod} 31) \\ \Rightarrow & 31 \mid 30 x-7 \end{array}$ Clearly, 24 satisfies this relation.

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

Relevant Questions

The negation of the statement "For every real number is positive" is2024Mathematical Reasoning
The contrapositive of the statement. "If two lines do not intersect in the same plane, then they are parallel." is2023Mathematical Reasoning
The two lines and are perpendicular if2020Mathematical Reasoning
The negation of the statement "All continuous functions are differentiable"2019Mathematical Reasoning
The negation of the statement " $ 72 $ is divisible by $ 2 $ and $ 3 $ " is2018Mathematical Reasoning
The eccentricity of the ellipse $ {x^{2}}{36}+ {y^{2}}{16}=1 $ is2017Mathematical Reasoning