Number of binary operation on the set {a,b} are:


2

66

April 10, 2019

Let A = {1, 2, 3}. Then number of equivalence relations containing (1, 2) is:


2

76

April 10, 2019

Let A = {1, 2, 3}. Then number of relations containing (1, 2) and (1, 3) which are


2

103

April 10, 2019

Define binary operation * on the set {0, 1, 2, 3, 4,5} as


2

115

April 10, 2019

Given a nonempty set X, let * : P (X) → P (X) be defined as A * B = (A  B) ∪ (B  A) ,


2

164

April 10, 2019

Consider the binary operation * : R x R a * (boc) = (a * b) o(a * b)


2

110

April 10, 2019

Let S = F1 and T = {1, 2, 3}.Find F1 of the following functions F from S to T, if it exist


2

103

April 10, 2019

Find the number of all onto functions from the set {1, 2, 3, ……., n} to itself


2

332

April 10, 2019

Given a nonempty set X, consider the binary operation * : P (X) x P (X) ∀ P (X)


2

113

April 10, 2019

Given a non empty set X, consider P (X) which is the set of all subsets of X


2

122

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


2

509

April 10, 2019

Give examples of two functions f : N → N and g : Z → Z such that


2

95

April 10, 2019

Show that the function f : R → R given by f(x) = x3 is injective


2

93

April 10, 2019

Show that the function f : R → {x ∈ R : 1 < x < 1} defined by f(x) = x/1 + x , x ∈ R


2

150

April 10, 2019

If f(f(x)) is defined by f(f(x)) find f(f(x))


2

75

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


2

425

April 10, 2019

Let f : R → R be defined as f(x) = 10x + 7. Find the function such that gof = fog = IR


2

405

April 10, 2019

Consider a binary operation * on N defined as a * b = a3 + b3. Choose the correct answer:


2

94

April 10, 2019

State whether the following statements are true or false. Justify:


2

98

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)


2

107

April 10, 2019

Show that none of the operations given above the identity


2

90

April 10, 2019

Let * be a binary operation on the set Q of rational numbers as follows:


2

235

April 10, 2019

Let * be the binary operation on N defined by a * b = H.C.F. of a and b


2

136

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?


2

151

April 10, 2019

Let * be the binary operation on N given by a * b = L.C.M. of a and b Find:


2

287

April 10, 2019

Let * ' be the binary operation on the set {1, 2, 3, 4, 5} defined by


2

79

April 10, 2019

Consider a binary operation * on the set {1, 2, 3, 4, 5} given by the following multiplication table


2

104

April 10, 2019

Consider the binary operation V on the set {1, 2, 3, 4, 5} defined by a V b = min {a, b}


2

166

April 10, 2019

For each binary operation * defined below, determine whether * is commutative or associative:


2

156

April 10, 2019

Determine whether or not each of the definition of * given below gives a binary operation


2

144

April 10, 2019
