List of top Mathematics Questions on Binary operations asked in KCET

If A = {a, b, c}, then the number of binary operations on A is

If $A = \{a,b,c\}$, then the number of binary operations on $A$ is

On the set $Q$ of all rational numbers the operation $\star$ which is both associative and commutative is given by $a \star b$, is:

In the group $G = \{1,5,7,11\}$ under multiplication modulo $12$, the solution of $ 7^{-1} \; \otimes_{12} (x \otimes_{12} 11) = 5$ is $x$ =

In the group $ (Q^+ ,\star )$ of positive rational numbers w.r.t. the binary operation $\star$ defined by $a^{\star} b=\frac {ab}{3} , \forall a,b \in Q^{+}$ the solution of the equation $5 ^{\star} x=4^{-1}$ in $Q^+$ is

In the group $G. = \{1, 3,7,9 \}$ under multiplication modulo $10$, the inverse of $3$ is