MCQs of Set Theory (Discrete Mathematics - 3140708)

Discrete Mathematics (3140708) MCQs

MCQs of Set Theory

Showing 41 to 50 out of 70 Questions

41.

Let

f, g : ℝ \to ℝ, f (x) = x^{2} - 2

and

g (x) = x + 4

. Then

f \circ g (x)

=_____.

(a)	$x^{2} + 8 x + 11$
(b)	$x^{2} + 8 x + 12$
(c)	$x^{2} + 8 x + 13$
(d)	$x^{2} + 8 x + 14$

42.

f : ℝ \to ℝ, f (x) = ax + b

then

f^{- 1} (x)

=_____.

(a)	$\frac{x - b}{a}, a \neq 0$
(b)	$(x - b) a$
(c)	$x - b$
(d)	$\frac{x - a}{b}, b \neq 0$

43.

Let

f : ℝ^{+} \to ℝ^{+}

defined by

f (x) = x^{2}

then find

f^{- 1} (x)

(a)	$\sqrt{x}$
(b)	$x$
(c)	$x^{2}$
(d)	$x^{\frac{3}{2}}$

44.

Let there are two parts A and B of a certain event. A can be done in m different ways and B can be done in n different ways. How many different ways to complete the event.

(a)	$m + n$
(b)	$m - n$
(c)	$m \cdot n$
(d)	$\frac{m}{n}$

45.

Suppose A and B are two disjoint events. A occur in m ways and B occur in n ways. Then A and B can occur in _____ ways.

(a)	$m + n$
(b)	$m - n$
(c)	$m \cdot n$
(d)	$\frac{m}{n}$

46.

Given a group of 100 people, at minimum, how many people were born in the same month?

(a)	8
(b)	9
(c)	10
(d)	11

47.

Each of the arrangements which can be made by taking some or all of a number of things is called _____.

(a)	a permutation
(b)	a combination
(c)	an event
(d)	none of these

48.

P(n, n)=_____.

(a)	1
(b)	n
(c)	n!
(d)	0

49.

P(n, 0)=_____.

(a)	1
(b)	n
(c)	n!
(d)	0

50.

A number of different permutations of the letters of the word JISSISSITTI is _____.

(a)	34650
(b)	11!
(c)	69300
(d)	17325

Showing 41 to 50 out of 70 Questions