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This is an MCQ-based quiz on Relations and Functions.
This includes Types of Relations, Types of Functions, Composition of Functions, Invertible Function, and Binary Operations
What type of a relation is R = {(1, 3), (4, 2), (2, 4), (2, 3), (3, 1)} on the set A – {1, 2, 3, 4}
If an operation is defined by a* b = a² + b², then (1 * 2) * 6 is
Consider the binary operation * on a defined by x * y = 1 + 12x + xy, ∀ x, y ∈ Q, then 2 * 3 equals
Let E = {1, 2, 3, 4} and F = {1, 2} Then, the number of onto functions from E to F is
If f(x1) = f (x2) ⇒ x1 = x2 ∀ x1 x2 ∈ A then the function f: A → B is
One-One
One-One Onto
Onto
Many One
Let A = {1, 2, 3}. Then number of relations containing {1, 2} and {1, 3}, which are reflexive and symmetric but not transitive is:
Let A = (1, 2, 3). Then the number of equivalence relations containing (1, 2) is
Let f: R → R be defined as f(x) = x4. Then
Let f : R → R be defined as f(x) = 3x. Then
The period of sin² θ is
The domain of sin^-1 (log (x/3)] is. .
If A = (1, 2, 3}, B = {6, 7, 8} is a function such that f(x) = x + 5 then what type of a function is f?
Many-one onto
Constant function
One-One Onto
Into
Let the functioin ‘f’ be defined by f (x) = 5x² + 2 ∀ x ∈ R, then ‘f’ is
Onto function
One-One, Onto function
One-One, Into function
Many-One Into function
What type of relation is ‘less than’ in the set of real numbers?
Only symmetric
Only transitive
Only reflexive
Equivalence
Let R be the relation in the set N given by : R = {(a, b): a = b – 2 & b>6}. Then:
(2, 4) ∈ R
(3, 8) ∈ R
(6, 8) ∈ R
(8, 7) ∈ R.
