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Worksheets1A_CIT201 - MIDTERM EXAM 2021-2022
Total questions: 23
Worksheet time: 53mins
The set O of odd positive integers less than 11 can be expressed by:
{1, 3, 5, 7}
{1, 3, 5, 7, 9, 11, ...}
{1, 3, 5, 7, 9, ...}
{1, 3, 5, 7, 9}
Which of the following is a singleton set?
A = {x : x is prime number}
The set of whole numbers is less than 0.
B= { }
A set of whole numbers is not a natural number.
Which of the following sets are equal?
A = {1, 2, 3} and B = {a, b, c}
A = {1, 2, 3} and B = {3, 2, 1}
A = {1, 2, 3} and B = {3, 4, 5}
A = {1, 2, 3, 4} and B = {1, 2, 3}
If the given set A = {1, 2, 3}, set B = {a, b, c} and set C = {2, a, c, d}.
What is the union of set B and C?
{1, 2, 3, a, b, c}
{2, a, b, c, d}
{a, b, c, 2, a, c, d}
{a, c}
There were 100 students in the library who responded to how they completed their research papers.
18 students only used the periodicals
29 students used the web and books
15 students used books, the web, and periodicals
40 students used books and periodicals
20 used the web and periodicals
60 students used books
7 students did not use the web, nor books, nor periodicals.
How many students used the web in their research?
7
10
14
18
There were 100 students in the library who responded to how they completed their research paper.
18 students only used the periodicals
29 students used the web and books
15 students used books, the web, and periodicals
40 students used books and periodicals
20 used the web and periodicals
60 students used books
7 students did not use the web, nor books, nor periodicals.
How many students used books or periodicals?
83
40
25
49
There were 100 students in the library who responded to how they completed their research papers.
18 students only used the periodicals
29 students used the web and books
15 students used books, the web, and periodicals
40 students used books and periodicals
20 used the web and periodicals
60 students used books
7 students did not use the web, nor books, nor periodicals.
How many students used the web and books but not periodicals?
14
30
16
19
There were 100 students in the library who responded to how they completed their research papers.
18 students only used the periodicals
29 students used the web and books
15 students used books, the web, and periodicals
40 students used books and periodicals
20 used the web and periodicals
60 students used books
7 students did not use the web, nor books, nor periodicals.
How many students used the web, books, and periodicals?
100
34
59
93
Let A = {0, 2, 4, 6, 8, 10}, B = {0, 1, 2, 3, 4, 5} and C = {4, 5, 6, 7, 8, 9, 10}.
Find A ∪ B ∩ C.
A ∪ B ∩ C = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
A ∪ B ∩ C = {0, 2, 4, 5}
A ∪ B ∩ C = {0, 2, 4, 5, 6, 8, 10}
A ∪ B ∩ C = {4}
Let A = {0, 2, 4, 6, 8, 10}, B = {0, 1, 2, 3, 4, 5} and C = {4, 5, 6, 7, 8, 9, 10}.
Find A’ ∩ B’ ∪ C’
A’ ∩ B’ ∪ C’ = {0, 2, 4, 5, 6, 7, 8, 9, 10}
A’ ∩ B’ ∪ C’ = {0, 2, 4, 5}
A’ ∩ B’ ∪ C’ = {0, 2, 4, 6, 8, 10}
A’ ∩ B’ ∪ C’ = {0,1, 2, 3, 7, 9}
In an ordered pairs {(-2, 1), (-2, 3), (0, -3), (1, 4), (3, 1)}, find the domain (d) and range (r)?
d = {-2, -2, 0, 1, 3} r = {1, 3, -3, 4, 1}
d = {1, 3, -3, 4, 1} r = {-2, -2, 0, 1, 3}
d = {-2, 0, 1, 3} r = {-3, 1, 3, 4}
d = {-3, 1, 3, 4} r = {-2, 0, 1, 3}
Let A = {1, 2, 3, 4}, and consider the relation R = {(1, 1), (1, 2), (2, 1), (2, 2), (3, 3), (4, 4)}, then R is ___. (Check all that apply)
reflexive
symmetric
antisymmetric
transitive
Which of the following relations is also a function? (Check all that apply)
R={(-3, 7), (-1, 5), (0, -2), (5, 9), (5, 9)}
R={(-2, 0), (-1, -2), (0, 3), (4, -1), (5, -3)}
R={(1, 6), (1, 6), (3, -7), (3, -7), (3, -7)}
R={(5, 2), (7, 0), (8, 1), (10, 2)}
What property of relations when R = {(1,1), (2,2), (3,3)}?
Empty Relation
Universal Relation
Identity Relation
Inverse Relation
Which of the following sentences is a proposition or statement?
x + y = 0
Go away!
Do only ITs know programming?
2 + 1 = 0
When ~p reads not p, how to read p → q?
if p implies q
p is necessary for q
p if and only if q
p only if q
Let P: We should be honest,
Q: We should be dedicated,
R: We should be overconfident.
Express ~P V ~Q V R as an English sentence.
It is not the case we should be honest or we should not be dedicated or we should not be overconfident.
It is not the case we should be honest or we should not be dedicated or we should be overconfident.
We should not be honest and we should not be dedicated and we should not be overconfident.
We should not be honest and we should not be dedicated and we should be overconfident.
Which of the following is not a logical connective?
+
˅
↔
˄
Rearrange the logical operators when finding compound propositions.
a. Conjunction
b. Negation
c. Disjunction
d. Biconditional
e. Parentheses
f. Implication
e-b-a-c-f-d
b-a-c-f-d-e
e-b-c-a-f-d
e-b-a-c-d-f
Let p is the proposition “I fail the course”; q is the proposition “I study hard.”, and r is the proposition “I pass the midterm exam.
Express this ~p ↔ (q ∧ r ) compound propositions as an English sentence.
If I don't fail the course then I study hard and I pass the midterm exam
It is not the case I fail the course if and only if I study hard or I pass the midterm exam
It is not the case I fail the course if and only if I study hard and I pass the midterm exam
If I don't fail the course then I study hard or I pass the midterm exam
Problem Solving:
A. Formal Logic (14 pts)
Copy then submit...
Identify whether the following statement is a tautology, contradiction, or contingency.
N: [((P ⟶ R) ∨ (Q ⟶ R)) ↔ ((P ∧ Q) ⟶ R)]
Show your solutions by constructing a truth table.
Subject: 1A _CIT201-Midterm Exams
***You should use your Gmail with complete name for me to recognize you.
Problem Solving:
B. Number System Conversion (10 pts)
Copy then submit...
B.1) Verify that the following are equal: (4pts)
1) ABC16 = 52748
2) 77708 = 408810
B.2) Convert decimal number to required number system. (6pts)
3) 50010 = ___________2 = ___________8 = ____________16
Show your solutions. No solutions, no score merited.
Then submit to avancecynthia1122@gmail.com
Subject: 1A _CIT201-Midterm Exams
***You should use your Gmail with a complete name for me to recognize you.
Problem Solving:
C. Binary Arithmetic Operation (10pts)
Copy then submit...
Compute the following arithmetic operations.
The answers must be in binary format. Show solutions.
1. 1101 00012 + 0111 101012 + 1102
2. 1010 111110 – 110 100110
3. 1011 01012 × 118
4. 1000 10012 ÷ 112
5. AB16 ÷ 78 + 3610
Submit to avancecynthia1122@gmail.com
Subject: 1A _CIT201-Midterm Exams
***You should use your Gmail with a complete name for me to recognize you.
