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 focusing on logic and set theory. It includes various logic and set theory problems, such as constructing venn diagrams, determining logical equivalence, and computing combinations. Students are required to use symbolic logic and truth tables to solve the problems.

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 110-02
§1.1 – 2.4 Test #1 score
Name:
26 June 2001
1. Use a properly labeled Venn diagram to determine the validity of the following argument.
Explain. (10 points)
1. All politicians enjoy helping people.
2. Sue enjoys helping people.
Therefore Sue is a politician.
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 a student studies regularly, then the student does well in school. If the stu-
dent’s teachers are good, then the student does well in school. The student
does not do well in school. Therefore, the student doesn’t study regularly or
the student’s teachers are not 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:

26 June 2001

  1. Use a properly labeled Venn diagram to determine the validity of the following argument. Explain. (10 points) 1. All politicians enjoy helping people. 2. Sue enjoys helping people.

Therefore Sue is a politician.

  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 a student studies regularly, then the student does well in school. If the stu- dent’s teachers are good, then the student does well in school. The student does not do well in school. Therefore, the student doesn’t study regularly or the student’s teachers are not good.

MA 110 Test 1 page 2

  1. Which two of the following statements are logically equivalent? (You don’t need to use a truth table, but explain why they are in a sentence.) (10 points)

(a) If it is not raining, then I play tennis. (b) If I play tennis, then it is not raining. (c) If it is raining, then I don’t play tennis. (d) I hate tennis, therefore I don’t play tennis.

  1. If U = { a, b, c, d, e, f , g, h, i, j, k, l, m }, A = { a, c, d, g, j, k, m } and B = { a, c, e, g, i, k, m }, find the set (A ∩ B) ′. Then illustrate (A ∪ B) ′^ by shading the result in a Venn diagram. (10 points)
  2. In a group of 250 students, 165 enjoy attending basketball games, 126 enjoy attending baseball games, and 61 enjoy neither? How many of the students enjoy both? Draw a properly labeled Venn diagram and explain your reasoning. (10 points)
  3. Compute the numbers 7 P 3 and 7 C 3. Make up two counting problems that would have these numbers as an answer. (10 points)