Mark the correct alternative in each of the following:

If a binary operation * is defined on the set Z of integers as a * b = 3a – b, then the value of (2 * 3) *4 is

Mark the correct alternative in each of the following:

If the binary operation * on Z is defined by a * b = a² – b² + ab + 4, then value of (2 * 3) * 4 is

Mark the correct alternative in each of the following:

For the binary operation * on Z defined by a * b = a + b + 1 the identity element is

Mark the correct alternative in each of the following:

Q⁺ denote the set of all positive rational numbers. If the binary operation on Q⁺ is defined as a , then the inverse of 3 is

Mark the correct alternative in each of the following:

If G is the set of all matrices of the form , where x ∈ R – {0}, then the identity element with respect to the multiplication of matrices as binary operation, is