Let `**'`be the binary operation on the set `{1, 2, 3, 4, 5}`defined by `a**'b= HCF`of a and b. Is the operation `**'`same as the operation `**`defined Justify your answer.

Let * be the binary operation on the set {1,2,3,4,5}, defined by a *' b = H.C.F of a and b. Is the operation *' same as the operation * defined above? Justify your answer.

Let ** be the binary operation on the set {1,2,3,4,5} defined a"*" b = H.C.F of a and b Is the operation ** same as the operation ** defined in Exercise 4 above ? Justify your answer .

Let *prime be the binary operation on the set {1," "2," "3," "4," "5} defined by a*primeb=" "HdotCdotFdot of a and b. Is the operation *prime same as the operation * defined in Exercise 4 above? Justify your answer.

Consider the binary operation* on the set {1, 2, 3, 4, 5} defined by a * b=min. {a, b}. Write the operation table of the operation *.

Define a binary operation on a set.

Define a binary operation on a set.

Consider the binary operation ** on the set {1, 2, 3, 4, 5} defined by a ** b=min. {a, b} . Write the operation table of the operation ** .