SC/MATH 1019B Solutions to Test 1B Oct. 2nd 2024
Name:
YorkU email:
Student Number:
READ THE FOLLOWING INSTRUCTIONS.
• Do not open your exam until told to do so.
• No calculators, cell phones or any other electronic devices can be used on this exam.
• Clear your desk of everything excepts pens, pencils and erasers.
• If you need scratch paper, the last page is blank.
• Without fully opening the exam, check that you have pages 1 through 10.
• Fill in your name, etc. on this first page.
• Show all your work unless otherwise indicated. Write your answers clearly!
Include enough steps for the grader to be able to follow your work.
• Do first all of the problems you know how to do immediately. Do not spend too
much time on any particular problem. Return to difficult problems later.
• You will be given exactly 60 minutes for this exam.
I have read and understand the above instructions:
SIGNATUR E
Page 1 of 10
, SC/MATH 1019B Solutions to Test 1B Oct. 2nd 2024
Multiple Choice. Circle the best answer. No work needed. No partial credit available.
1. (5 points) The compound proposition (p ∨ q) ∧ (p → (¬q)) is:
A. Satisfiable.
B. Unsatisfiable.
2. (5 points) The negation of ∃x∃y(x + y = 7) is:
A. ∀x∃y(x + 7 = 0)
B. ∃x∃y(x + y /= 7)
C. ∀x∀y(x + y /= 7)
3. (5 points) A proposition logically equivalent to p → q is:
A. ¬p → ¬q
B. q → p
C. ¬q → ¬p
Extra Work Space.
Page 2 of 10
Name:
YorkU email:
Student Number:
READ THE FOLLOWING INSTRUCTIONS.
• Do not open your exam until told to do so.
• No calculators, cell phones or any other electronic devices can be used on this exam.
• Clear your desk of everything excepts pens, pencils and erasers.
• If you need scratch paper, the last page is blank.
• Without fully opening the exam, check that you have pages 1 through 10.
• Fill in your name, etc. on this first page.
• Show all your work unless otherwise indicated. Write your answers clearly!
Include enough steps for the grader to be able to follow your work.
• Do first all of the problems you know how to do immediately. Do not spend too
much time on any particular problem. Return to difficult problems later.
• You will be given exactly 60 minutes for this exam.
I have read and understand the above instructions:
SIGNATUR E
Page 1 of 10
, SC/MATH 1019B Solutions to Test 1B Oct. 2nd 2024
Multiple Choice. Circle the best answer. No work needed. No partial credit available.
1. (5 points) The compound proposition (p ∨ q) ∧ (p → (¬q)) is:
A. Satisfiable.
B. Unsatisfiable.
2. (5 points) The negation of ∃x∃y(x + y = 7) is:
A. ∀x∃y(x + 7 = 0)
B. ∃x∃y(x + y /= 7)
C. ∀x∀y(x + y /= 7)
3. (5 points) A proposition logically equivalent to p → q is:
A. ¬p → ¬q
B. q → p
C. ¬q → ¬p
Extra Work Space.
Page 2 of 10
