In the group G=\1,2,3,4,5,6\ under ⊗_7 , then the solution of 4 ⊗ 7 x=5 is

Correct answer: (A) 3. By the properties of multiplication modulo, 4 ⊗_7 3=5 4 ⊗_7 2=1 4 ⊗_7 4=2 4 ⊗_7 5=6

Q105 / 180 · KCET 2012 · Mathematics

In the group $G=\{1,2,3,4,5,6\}$ under $\otimes_{7}$, then the solution of $4 \otimes 7 x=5$ is

Correct answer
A
3
B
2
C
4
D
5

Solution

By the properties of multiplication modulo, $$ \begin{aligned} &4 \otimes_{7} 3=5 \\ &4 \otimes_{7} 2=1 \\ &4 \otimes_{7} 4=2 \\ &4 \otimes_{7} 5=6 \end{aligned} $$

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

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