Let `+_6` (addition modulo 6) be a binary operation on `S={0,\ 1,\ 2,\ 3,\ 4,\ 5}` . Write the value of `2+_6 4^(-1)+_6 3^(-1)` .

For the binary operation multiplication modulo 5\ (xx_5) defined on the set S={1,\ 2,\ 3,\ 4} . Write the value of (3xx_5 4^(-1))^(-1) .

For the binary operation xx_7 on the set S={1,\ 2,\ 3,\ 4,\ 5,\ 6} , compute 3^(-1)xx_7 4 .

If A={1,2,3,4}, B={5,6} then the value of A cup B is

The mean and S.D of 1, 2, 3, 4, 5, 6 is

The mean and S.D. of 1,2,3,4,5,6 is

Define a binary operation * on the set A={0,\ 1,\ 2,\ 3,\ 4,\ 5} as a * b=a+b(mod 6) Show that zero is the identity for this operation and each element a of the set is invertible with 6-a being the inverse of adot

Write the composition table for the binary operation xx_5 (multiplication modulo 5) on the set S={0,\ 1,\ 2,\ 3,\ 4} .

Let * be a binary operation on N defined by a*b=LCM(a ,\ b) for all a ,\ b in Ndot Find 2*4,\ 3*5,\ 1*6 .

Define a binary operation * on the set A={0,1,2,3,4,5} as a*b=a+b (mod 6). Show that zero is the identity for this operation and each element a of the set is invertible with 6-a being the inverse of adot OR A binary operation * on the set {0,1,2,3,4,5} is defined as a*b={a+b ,ifa+b<6a+b-6,ifa+bgeq6 Show that zero is the identity for this operation and each element a of set is invertible with 6-a , being the inverse of a.

Define a binary operation * on the set A={0,1,2,3,4,5} as a*b=a+b (mod 6). Show that zero is the identity for this operation and each element a of the set is invertible with 6-a being the inverse of adot OR A binary operation * on the set {0,1,2,3,4,5} is defined as a*b={a+b ,ifa+b<6a+b-6,ifa+bgeq6 Show that zero is the identity for this operation and each element a of set is invertible with 6-a , being the inverse of a.