info@avatto.com
+91-9920808017
41. Let (Z, *) be an algebraic structure, where Z is the set of integers and the operation * is defined by n * m = maximum (n, m). Which of the following statements is TRUE for (Z, *) ?
(Z, *) is a monoid
(Z, *) is an abelian group
(Z, *) is a group
None of these
Your email address will not be published. Required fields are marked *
Report
Name
Email
Website
Save my name, email, and website in this browser for the next time I comment.
Comment
42. Some group (G, 0) is known to be abelian. Then which one of the following is TRUE for G ?
g = g-1 for every g ∈ G
g = g2 for every g ∈ G
(g o h) 2 = g2o h2 for every g,h ∈ G
G is of finite order
43. If the binary operation * is deined on a set of ordered pairs of real numbers as(a, b) * (c, d) = (ad + bc, bd)and is associative, then(1, 2) * (3, 5) * (3, 4) equals
(74,40)
(32,40)
(23,11)
(7,11)
44. If A = (1, 2, 3, 4). Let ~ = ((1, 2), (1, 3), (4, 2). Then ~ is
not anti-symmetric
transitive
reflexive
symmetric
45. Which of the following statements is false ?
If R is relexive, then R ∩ R-1≠ φ
R ∩ R-1≠ φ =>R is anti-symmetric
If R, R' are equivalence relations in a set A, then R ∩ R' is also an equivalence relation in A.
If R, R' are reflexive relations in A, then R - R' is reflexive
Login with Facebook
Login with Google
Forgot your password?
Lost your password? Please enter your email address. You will receive mail with link to set new password.
Back to login
