|
Number of binary operation on the set {a,b} are:
|
|
1
|
318
|
April 10, 2019
|
|
Let A = {1, 2, 3}. Then number of equivalence relations containing (1, 2) is:
|
|
1
|
424
|
April 10, 2019
|
|
Let A = {1, 2, 3}. Then number of relations containing (1, 2) and (1, 3) which are
|
|
1
|
876
|
April 10, 2019
|
|
Define binary operation * on the set {0, 1, 2, 3, 4,5} as
|
|
1
|
683
|
April 10, 2019
|
|
Given a non-empty set X, let * : P (X) → P (X) be defined as A * B = (A - B) ∪ (B - A) ,
|
|
1
|
1089
|
April 10, 2019
|
|
Consider the binary operation * : R x R a * (boc) = (a * b) o(a * b)
|
|
1
|
574
|
April 10, 2019
|
|
Let S = F-1 and T = {1, 2, 3}.Find F-1 of the following functions F from S to T, if it exist
|
|
1
|
327
|
April 10, 2019
|
|
Find the number of all onto functions from the set {1, 2, 3, ……., n} to itself
|
|
1
|
720
|
April 10, 2019
|
|
Given a non-empty set X, consider the binary operation * : P (X) x P (X) ∀ P (X)
|
|
1
|
615
|
April 10, 2019
|
|
Given a non empty set X, consider P (X) which is the set of all subsets of X
|
|
1
|
776
|
April 10, 2019
|
|
Give examples of two functions f : N → N and g : N → N such that gof is onto but f is not onto
|
|
1
|
1455
|
April 10, 2019
|
|
Give examples of two functions f : N → N and g : Z → Z such that
|
|
1
|
594
|
April 10, 2019
|
|
Show that the function f : R → R given by f(x) = x3 is injective
|
|
1
|
873
|
April 10, 2019
|
|
Show that the function f : R → {x ∈ R : -1 < x < 1} defined by f(x) = x/1 + |x| , x ∈ R
|
|
1
|
1288
|
April 10, 2019
|
|
If f(f(x)) is defined by f(f(x)) find f(f(x))
|
|
1
|
343
|
April 10, 2019
|
|
Let f : W → W be defined as f(n) = n - 1 if f is odd and f(n) = n + 1 if n is even
|
|
1
|
1323
|
April 10, 2019
|
|
Let f : R → R be defined as f(x) = 10x + 7. Find the function such that gof = fog = IR
|
|
1
|
1529
|
April 10, 2019
|
|
Consider a binary operation * on N defined as a * b = a3 + b3. Choose the correct answer:
|
|
1
|
651
|
April 10, 2019
|
|
State whether the following statements are true or false. Justify:
|
|
1
|
387
|
April 10, 2019
|
|
Let A = N x N and * be the binary operation on A defined by (a, b) * (c, d) = (a + c, b + d)
|
|
1
|
768
|
April 10, 2019
|
|
Show that none of the operations given above the identity
|
|
1
|
343
|
April 10, 2019
|
|
Let * be a binary operation on the set Q of rational numbers as follows:
|
|
1
|
1076
|
April 10, 2019
|
|
Let * be the binary operation on N defined by a * b = H.C.F. of a and b
|
|
1
|
536
|
April 10, 2019
|
|
Is * defined on the set {1, 2, 3, 4, 5} by a * b = L.C.M. of a and b a binary operation?
|
|
1
|
715
|
April 10, 2019
|
|
Let * be the binary operation on N given by a * b = L.C.M. of a and b Find:
|
|
1
|
783
|
April 10, 2019
|
|
Let * ' be the binary operation on the set {1, 2, 3, 4, 5} defined by
|
|
1
|
318
|
April 10, 2019
|
|
Consider a binary operation * on the set {1, 2, 3, 4, 5} given by the following multiplication table
|
|
1
|
571
|
April 10, 2019
|
|
Consider the binary operation V on the set {1, 2, 3, 4, 5} defined by a V b = min {a, b}
|
|
1
|
727
|
April 10, 2019
|
|
For each binary operation * defined below, determine whether * is commutative or associative:
|
|
1
|
1134
|
April 10, 2019
|
|
Determine whether or not each of the definition of * given below gives a binary operation
|
|
1
|
486
|
April 10, 2019
|