Docsity
Log inSign up
Docsity
Prepare for your exams
Prepare for your exams

Study with the several resources on Docsity

Earn points to download
Earn points to download

Earn points by helping other students or get them with a premium plan

Guidelines and tips
Guidelines and tips
Sell on Docsity
Sell on Docsity
Log inSign up

Prepare for your exams

Study with the several resources on Docsity

Find documents

Prepare for your exams with the study notes shared by other students like you on Docsity

Search Store documents

The best documents sold by students who completed their studies

Search through all study resources
Docsity AINEW

Summarize your documents, ask them questions, convert them into quizzes and concept maps

Explore questions

Clear up your doubts by reading the answers to questions asked by your fellow students

Earn points to download

Earn points by helping other students or get them with a premium plan

Share documents
download point icon20 Points

For each uploaded document

Answer questions
download point icon5 Points

For each given answer (max 1 per day)

All the ways to get free points
Get points immediately

Choose a premium plan with all the points you need

Study Opportunities

Choose your next study program

Get in touch with the best universities in the world. Search through thousands of universities and official partners

Community

Ask the community

Ask the community for help and clear up your study doubts

University Rankings

Discover the best universities in your country according to Docsity users

Free resources

Our save-the-student-ebooks!

Download our free guides on studying techniques, anxiety management strategies, and thesis advice from Docsity tutors

From our blog

Exams and Study
Go to the blog

MA 110 Test 1: Logic and Set Theory, Exercises of Mathematical Methods for Numerical Analysis and Optimization

Baddi University of Emerging Sciences and TechnologiesMathematical Methods for Numerical Analysis and Optimization

The first test for ma 110, a college-level course in logic and set theory. The test covers various topics such as venn diagrams, truth tables, symbolic logic, and combinatorics. Students are required to answer questions related to these topics, some of which involve constructing diagrams, writing arguments in symbolic form, and computing cardinalities.

Typology: Exercises

2012/2013

Uploaded on 03/31/2013

parmitaaaaa
parmitaaaaa 🇮🇳

4.2

(111)

179 documents

1 / 3

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
MA 110-91
§1.1 – 2.4 Test #1 score
Name:
21 February 2002
1. Use a properly labeled Venn diagram to determine the validity of the following argument.
Explain. (10 points)
1. All mechanics are men.
2. Sue is a mechanic.
Therefore Sue is a man.
2. Construct a truth table to show that the symbolic statement p→qis logically equivalent
to its contrapositive. (10 points)
3. Write the following argument in symbolic form. Then use a truth table to determine if
the argument is valid. (10 points)
If the defendant goes to jail, then the defendant is not innocent. If the defen-
dant’s lawyer is good, then the defendant does not go to jail. Therefore, the
defendant is innocent or the lawyer is good.
pf3

Partial preview of the text

Download MA 110 Test 1: Logic and Set Theory and more Exercises Mathematical Methods for Numerical Analysis and Optimization in PDF only on Docsity!

MA 110-

Test

score

Name:

21 February 2002

  1. Use a properly labeled Venn diagram to determine the validity of the following argument. Explain. (10 points) 1. All mechanics are men. 2. Sue is a mechanic.

Therefore Sue is a man.

  1. Construct a truth table to show that the symbolic statement p → q is logically equivalent to its contrapositive. (10 points)
  2. Write the following argument in symbolic form. Then use a truth table to determine if the argument is valid. (10 points)

If the defendant goes to jail, then the defendant is not innocent. If the defen- dant’s lawyer is good, then the defendant does not go to jail. Therefore, the defendant is innocent or the lawyer is good.

MA 110 Test 1 page 2

  1. If U = { a, b, c, d, e, f , g, h, i, j, k, l, m, n }, A = { a, d, g, j, m } and B = { a, c, e, g, i, k, m }, enumerate the set (A ∪ B) ′. Then illustrate (A ∪ B) ′^ by shading the result in a Venn diagram. (10 points)
  2. List all of the subsets of the set { a, b }. Then list all the subsets of the set { a, b, c }. (10 points)
  3. In a group of 200 students, 75 play tennis, 126 play racquetball, and 61 play neither? How many of the students play both tennis and racquetball? Draw a properly labelled Venn diagram and explain your reasoning. (10 points)
  4. Compute the numbers 5 P 2 and 5 C 2. For the set { a, b, c, d, e }, list all the subsets of cardi- nality two and explain how this list is related to one of the numbers you just computed. (10 points)