Let (z, *) is a group with x*y=x+y-2 then inverse of x is ___________(a) -(x+4)(b) (x^2+6)(c) (x+y)/5(d) (3y+4x^2)The question was posed to me during an interview.My doubt stems from Permutation Groups topic in chapter Groups of Discrete Mathematics

Let (z, *) is a group with x*y=x+y-2 then inverse of x is ___________(

1.	Let (z, ) is a group with xy=x+y-2 then inverse of x is ___________(a) -(x+4)(b) (x^2+6)(c) (x+y)/5(d) (3y+4x^2)The question was posed to me during an interview.My doubt stems from Permutation Groups topic in chapter Groups of Discrete Mathematics
Answer» Right OPTION is (a) -(X+4) For EXPLANATION: Let, Identity element I, xI = Ix = x ⇒ x = x + I – 2 ⇒ I = 2. INVERSE of x is x^-1 Now, x*x^-1 = I ⇒ x + x^-1 – 2 = 2 ⇒ x^-1 = -(x+4).

Discussion

No Comment Found

Related InterviewSolutions

A group of rational numbers is an example of __________(a) a subgroup of a group of integers(b) a subgroup of a group of real numbers(c) a subgroup of a group of irrational numbers(d) a subgroup of a group of complex numbersI got this question in an interview.My doubt stems from Groups topic in section Groups of Discrete Mathematics
__________ is not necessarily a property of a Group.(a) Commutativity(b) Existence of inverse for every element(c) Existence of Identity(d) AssociativityI have been asked this question in an online quiz.This question is from Groups topic in portion Groups of Discrete Mathematics
A cyclic group can be generated by a/an ________ element.(a) singular(b) non-singular(c) inverse(d) multiplicativeI got this question in an interview for job.My question is from Group Theory topic in section Groups of Discrete Mathematics
Matrix multiplication is a/an _________ property.(a) Commutative(b) Associative(c) Additive(d) DisjunctiveI had been asked this question in a job interview.I'm obligated to ask this question of Group Theory topic in division Groups of Discrete Mathematics
An algebraic structure _________ is called a semigroup.(a) (P, *)(b) (Q, +, *)(c) (P, +)(d) (+, *)I had been asked this question by my school teacher while I was bunking the class.This key question is from Group Theory topic in chapter Groups of Discrete Mathematics
A non empty set A is termed as an algebraic structure ________(a) with respect to binary operation *(b) with respect to ternary operation ?(c) with respect to binary operation +(d) with respect to unary operation –This question was posed to me in an internship interview.The question is from Group Theory in section Groups of Discrete Mathematics
An isomorphism of Boolean algebra is defined as _______(a) order isomorphism(b) unordered isomorphism(c) order homomorphism(d) hyper-morphismI got this question during an online interview.I'd like to ask this question from Groups topic in division Groups of Discrete Mathematics
Suppose P(h) is a group of permutations and identity permutation(id) belongs to P(c). If ϕ(c)=c then which of the following is true?(a) ϕ^-1∈P(h)(b) ϕ^-1∈P(h)(c) ϕ^-1∈P(h)(d) ϕ^-1∈P(h)This question was posed to me in class test.I'm obligated to ask this question of Groups in division Groups of Discrete Mathematics
Invariant permutations of two functions can form __________(a) groups(b) lattices(c) graphs(d) ringsThis question was addressed to me during an interview.I need to ask this question from Groups topic in section Groups of Discrete Mathematics
How many indistinguishable necklaces can be made from beads of 4 colors with exactly 9 beads of each color where each necklace is of length 16?(a) 76967234(b) 5652209(c) 14414400(d) 8686214This question was addressed to me in examination.My doubt stems from Groups topic in portion Groups of Discrete Mathematics

Let (z, *) is a group with x*y=x+y-2 then inverse of x is ___________(a) -(x+4)(b) (x^2+6)(c) (x+y)/5(d) (3y+4x^2)The question was posed to me during an interview.My doubt stems from Permutation Groups topic in chapter Groups of Discrete Mathematics

Discussion

No Comment Found

Related InterviewSolutions

Reply to Comment

Let (z, ) is a group with xy=x+y-2 then inverse of x is ___________(a) -(x+4)(b) (x^2+6)(c) (x+y)/5(d) (3y+4x^2)The question was posed to me during an interview.My doubt stems from Permutation Groups topic in chapter Groups of Discrete Mathematics