21⟩ The intersection of the sets {1, 2, 5} and {1, 2, 6} is the set ___________. a) {1, 2} b) {5, 6} c) {2, 5} d) {1, 6}
a) {1, 2}
Discrete Math
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46 Discrete Math Questions And Answers
22⟩ The function f(x)=x+1 from the set of integers to itself is onto. Is it True or False? a) True b) False
a) True
23⟩ 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}
24⟩ 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
25⟩ The function f(x) = x3 is bijection from R to R. Is it True or False? a) True b) False
a) True
26⟩ Let f and g be the function from the set of integers to itself, defined by f(x) = 2x + 1 and g(x) = 3x + 4. Then the composition of f and g is ________. a) 6x + 9 b) 6x + 7 c) 6x + 6 d) 6x + 8
a) 6x + 9
27⟩ Which of the following function f Z X Z → Z is not onto? a) f(a, b) = a + b b) f(a, b) = a c) f(a, b) = |b| d) f(a, b) = a - b
c) f(a, b) = |b|
28⟩ __________ bytes are required to encode 2000 bits of data, a) 1 b) 2 c) 3 d) 8
b) 2
29⟩ The value of ⌊1/2.⌊5/2⌋ ⌋ is _______________. a) 1 b) 2 c) 3 d) 0.5
a) 1
30⟩ The domain of the function that assign to each pair of integers the maximum of these two integers is ________. a) N b) Z c) Z + d) Z+ X Z+
d) Z+ X Z+
31⟩ The set of positive integers is _________ . a) Infinite b) Finite c) Subset d) Empty
a) Infinite
32⟩ A function is said to be ______________, if and only if f(a) = f(b) implies that a = b for all a and b in the domain of f. a) One-to-many b) One-to-one c) Many-to-many d) Many-to-one
b) One-to-one
33⟩ What is the Cardinality of the Power set of the set {0, 1, 2}. a) 8 b) 6 c) 7 d) 9
a) 8
34⟩ 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}
35⟩ What is the cardinality of the set of odd positive integers less than 10? a) 10 b) 5 c) 3 d) 20
b) 5
36⟩ 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}
37⟩ Give range for the following six values 2, 7, 11, 19, 25, 33
31.
38⟩ 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.
39⟩ If card punch operator can process 80 cards in half an hour How many cards can this process in 7hr 30min?
1200.
40⟩ In normal distribution, approximately what percentage of the cases, to the nearest whole number, falls within 4 standard deviations of the mean?
100%
