MCQs of Relations and Functions

Showing 1 to 10 out of 145 Questions

T h e r e l a t i o n S = {1, 1}, (2, 2), (3, 3), (4, 4), (5, 5)} o n {1, 2, 3, 4, 5} i s_____

I f A = {1, 2, 3}, t h e n t h e n u m b e r o f e q u i v a l e n c e r e l a t i o n c o n t a i n i n g (1, 3) i s_____

S i s d e f i n e d i n Z b y (x, y) \in S \Leftrightarrow | x - y | \leq 1 . S i s_____

(a)	reflexive and transitive but but not symmetric.
(b)	reflexive and symmetric but not transitive.
(c)	symmetric and transitive but not reflexive.
(d)	an equivalence relation.

I f S i s d e f i n e d o n R - {0} b y (x, y) \in S \Leftrightarrow x y \geq 0 . T h e n S i s_____

Which of the following defined on Z is not an equivalence relation

_____

(a)	$(x, y) \in S \Leftrightarrow x \geq y$
(b)	$(x, y) \in S \Leftrightarrow x = y$
(c)	$(x, y) \in S \Leftrightarrow x - y i s a m u l t i p l e o f 3$
(d)	$(x, y) \in S i f \| x - y \| i s e v e n$

if a ∗ b = a² + b² on Z, then (2 ∗ 3) ∗ 4 = _____

If a * b = a^{2} + b^{2} + a b + 2 on Z, then 3 * 4

= _____

I f a * b = \frac{a b}{2} o n Q^{+}, t h e n t h e i d e n t i t y f o r * i s_____

I f a * b = \frac{a b}{3} o n Q^{+}, t h e n t h e i n v e r s e o f a (a \neq 0) f o r * i s_____

10.

The number of binary operation on {1, 2} is _____

Showing 1 to 10 out of 145 Questions