If a, b are positive integers, define a * b = a where ab = a (modulo 7), with this * operation, then inverse of 3 in group G (1, 2, 3, 4, 5, 6) is
A. | 3 |
B. | 1 |
C. | 5 |
D. | 4 |
Option: C Explanation : Click on Discuss to view users comments. |
Which of the following is TRUE ?
A. | Set of all rational negative numbers forms a group under multiplication |
B. | Set of all non-singular matrices forms a group under multiplication |
C. | Set of all matrices forms a group under multipication |
D. | Both (b) and (c) |
Option: B Explanation : Click on Discuss to view users comments. |
The set of all nth roots of unity under multiplication of complex numbers form a/an
A. | semi group with identity |
B. | commutative semigroups with identity |
C. | group |
D. | abelian group |
Option: D Explanation : Click on Discuss to view users comments. |
Which of the following statements is FALSE ?
A. | The set of rational numbers is an abelian group under addition |
B. | The set of rational integers is an abelian group under addition |
C. | The set of rational numbers form an abelian group under multiplication |
D. | None of these |
Option: C Explanation : Click on Discuss to view users comments. |