Groups RT

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10 Qs

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Groups RT

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Assessment

Quiz

Mathematics

University

Practice Problem

Easy

Created by

Azfar haque

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If a * b = a + b – 2, then inverse of ‘ 1’ is

1

2

3

4

5

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If  a*b =  ab3\frac{ab}{3} , (Q+,*) is an abelian group which of the following is not true

e = 3

  a1 = 9aa^{-1}\ =\ \frac{9}{a}  

  (23)1 = 6\left(\frac{2}{3}\right)^{-1}\ =\ 6  

 31 = 33^{-1}\ =\ 3   

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

For all numbers s and t, the operation is defined by s * t = (s – 1)(t + 1). If (-2) * x = - 12 then x =?

2

3

5

6

11

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If the operation O is defined by the equation xOy = 2x + y, what is the value of a in the equation 2 O a = a O 3

0

-1

1

1.5

4

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Let S = {A, B, C, D} where A = {a}, B = { a, b} , C = { a, b, c} and D = ф, then the missing elements of the composition table

C,D

A, A

A, B

B, B

C, C

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If S = { A, B, C, D}, where A= {a, b}, B = {a, c} , C = {a, b, c} and D = ф , then which one of the following statement is true.

\cup is not a binary option on S

\cap is not a binary option on S

\cap is a binary operation on S

\cup is not a binary operations on S

A & B Both

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A monoid is always a;

Group

A commutative group

A non abelian group

Groupoid

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