Discrete Math based Frequently Asked Questions by expert members with experience in Discrete Math. These questions and answers will help you strengthen your technical skills, prepare for the new job test and quickly revise the concepts

## 46 Discrete Math Questions and Answers:

c) Set

### 2 :: The set O of odd positive integers less than 10 can be expressed by ___________ . a) {1, 2, 3} b) {1, 3, 5, 7, 9} c) {1, 2, 5, 9} d) {1, 5, 7, 9, 11}

b) {1, 3, 5, 7, 9}

### 3 :: What is Discrete Math?

Discrete mathematics is the study of mathematical structures that are fundamentally discrete rather than continuous.

### 4 :: What is the Cartesian product of A = {1, 2} and B = {a, b}? a) {(1, a), (1, b), (2, a), (b, b)} b) {(1, 1), (2, 2), (a, a), (b, b)} c) {(1, a), (2, a), (1, b), (2, b)} d) {(1, 1), (a, a), (2, a), (1, b)}

c) {(1, a), (2, a), (1, b), (2, b)}

a) One

### 6 :: The Cartesian Product B x A is equal to the Cartesian product A x B. Is it True or False? a) True b) False

b) False
Let A = {1, 2} and B = {a, b}. The Cartesian product A x B = {(1, a), (1, b), (2, a), (2, b)} and the Cartesian product B x A = {(a, 1), (a, 2), (b, 1), (b, 2)}. This is not equal to A x B.

b) 5

### 8 :: Which of the following two sets are equal? a) A = {1, 2} and B = {1} b) A = {1, 2} and B = {1, 2, 3} c) A = {1, 2, 3} and B = {2, 1, 3} d) A = {1, 2, 4} and B = {1, 2, 3}

c) A = {1, 2, 3} and B = {2, 1, 3}

a) 8

### 10 :: The members of the set S = {x | x is the square of an integer and x < 100} is _________________. a) {0, 2, 4, 5, 9, 58, 49, 56, 99, 12} b) {0, 1, 4, 9, 16, 25, 36, 49, 64, 81} c) {1, 4, 9, 16, 25, 36, 64, 81, 85, 99} d) {0, 1, 4, 9, 16, 25, 36, 49, 64, 121}

b) {0, 1, 4, 9, 16, 25, 36, 49, 64, 81}

b) One-to-one

a) Infinite

a) 1

c) f(a, b) = |b|

d) Z+ X Z+

a) 6x + 9

b) 2

### 18 :: The inverse of function f(x) = x3 + 2 is __________. a) f -1 (y) = (y - 2) 1/2 b) f -1 (y) = (y - 2) 1/3 c) f -1 (y) = (y) 1/3 d) f -1 (y) = (y - 2)

b) f -1 (y) = (y - 2) 1/3

a) True

### 20 :: The g -1({0}) for the function g(x)= ⌊x⌋ is ________. a) {x | 0 ≤ x < 1} b) {x | 0 < x ≤ 1} c) {x | 0 < x < 1} d) {x | 0 ≤ x ≤ 1}

d) {x | 0 ≤ x ≤ 1}