Arithmetic Aptitude :: Sets, Relations and Functions
- A subset H of a group(G,*) is a group if
- If A = {1, 2, 3} then relation S = {(1, 1), (2, 2)} is
- Which of the following statements is true?
- Let A = {1, 2, .....3 } Define ~ by x ~ y ⇔ x divides y. Then ~ is
- G(e, a, b, c} is an abelian group with 'e' as identity element. The order of the other elements are
- If f : A ---> B is a bijective function, then f -1 of f =
- The set of all real numbers under the usual multiplication operation is not a group since
- If (G, .) is a group such that (ab)- 1 = b-1 a-1, ∀ a, b ∈ G, then G is a/an
- If * is defined on R* as a * b = (ab/2) then identity element in the group (R*, *) is
- If (G, .) is a group such that a2 = e, ∀ a ∈ G, then G is
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