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Basic Disjunction (OR) - Intermediate Level: tricky scenarios handling Basic Disjunction (OR) INTERMEDIATE

This expert challenge 📈 worksheet focuses on Basic Disjunction (OR) - a key topic in Logical Connectives. You'll solve 20 intermediate-level problems (Worksheet 5 of 10). The primary focus is on tricky scenarios handling. Master how to solve basic disjunction (or), basic disjunction (or) tricks, and basic disjunction (or) shortcut methods through systematic practice.

📝 Worksheet 5 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Basic Disjunction (OR)
Worksheet 5 of 10 (44% complete)

Question 1

Consider the statements: p: Lisa likes coffee q: Lisa likes tea If p is False and q is False, what is the truth value of p ∨ q (p OR q)?
Step 1: Understand the disjunction (OR) operator
The disjunction p ∨ q is True when AT LEAST ONE of p or q is True.
It is False ONLY when both p and q are False.

Step 2: Apply the given values
p = False, q = False

Step 3: Evaluate p ∨ q
Since both p and q are False, p ∨ q = False

Question 2

Consider the statements: p: Tom is a doctor q: Tom is an engineer If p is False and q is True, what is the truth value of p ∨ q (p OR q)?
Step 1: Understand the disjunction (OR) operator
The disjunction p ∨ q is True when AT LEAST ONE of p or q is True.
It is False ONLY when both p and q are False.

Step 2: Apply the given values
p = False, q = True

Step 3: Evaluate p ∨ q
Since at least one of p or q is True, p ∨ q = True

Question 3

Consider the statements: p: You can pay by cash q: You can pay by card If p is False and q is False, what is the truth value of p ∨ q (p OR q)?
Step 1: Understand the disjunction (OR) operator
The disjunction p ∨ q is True when AT LEAST ONE of p or q is True.
It is False ONLY when both p and q are False.

Step 2: Apply the given values
p = False, q = False

Step 3: Evaluate p ∨ q
Since both p and q are False, p ∨ q = False

Question 4

Consider the statements: p: Tom is a doctor q: Tom is an engineer If p is True and q is True, what is the truth value of p ∨ q (p OR q)?
Step 1: Understand the disjunction (OR) operator
The disjunction p ∨ q is True when AT LEAST ONE of p or q is True.
It is False ONLY when both p and q are False.

Step 2: Apply the given values
p = True, q = True

Step 3: Evaluate p ∨ q
Since at least one of p or q is True, p ∨ q = True

Question 5

Consider the statements: p: The flight departs at 9 AM q: The flight departs at 2 PM If p is False and q is False, what is the truth value of p ∨ q (p OR q)?
Step 1: Understand the disjunction (OR) operator
The disjunction p ∨ q is True when AT LEAST ONE of p or q is True.
It is False ONLY when both p and q are False.

Step 2: Apply the given values
p = False, q = False

Step 3: Evaluate p ∨ q
Since both p and q are False, p ∨ q = False

Question 6

Consider the statements: p: Lisa likes coffee q: Lisa likes tea If p is True and q is False, what is the truth value of p ∨ q (p OR q)?
Step 1: Understand the disjunction (OR) operator
The disjunction p ∨ q is True when AT LEAST ONE of p or q is True.
It is False ONLY when both p and q are False.

Step 2: Apply the given values
p = True, q = False

Step 3: Evaluate p ∨ q
Since at least one of p or q is True, p ∨ q = True

Question 7

Consider the statements: p: Tom is a doctor q: Tom is an engineer If p is False and q is False, what is the truth value of p ∨ q (p OR q)?
Step 1: Understand the disjunction (OR) operator
The disjunction p ∨ q is True when AT LEAST ONE of p or q is True.
It is False ONLY when both p and q are False.

Step 2: Apply the given values
p = False, q = False

Step 3: Evaluate p ∨ q
Since both p and q are False, p ∨ q = False

Question 8

Consider the statements: p: Tom is a doctor q: Tom is an engineer If p is True and q is True, what is the truth value of p ∨ q (p OR q)?
Step 1: Understand the disjunction (OR) operator
The disjunction p ∨ q is True when AT LEAST ONE of p or q is True.
It is False ONLY when both p and q are False.

Step 2: Apply the given values
p = True, q = True

Step 3: Evaluate p ∨ q
Since at least one of p or q is True, p ∨ q = True

Question 9

Consider the statements: p: The flight departs at 9 AM q: The flight departs at 2 PM If p is False and q is False, what is the truth value of p ∨ q (p OR q)?
Step 1: Understand the disjunction (OR) operator
The disjunction p ∨ q is True when AT LEAST ONE of p or q is True.
It is False ONLY when both p and q are False.

Step 2: Apply the given values
p = False, q = False

Step 3: Evaluate p ∨ q
Since both p and q are False, p ∨ q = False

Question 10

Consider the statements: p: You can pay by cash q: You can pay by card If p is False and q is False, what is the truth value of p ∨ q (p OR q)?
Step 1: Understand the disjunction (OR) operator
The disjunction p ∨ q is True when AT LEAST ONE of p or q is True.
It is False ONLY when both p and q are False.

Step 2: Apply the given values
p = False, q = False

Step 3: Evaluate p ∨ q
Since both p and q are False, p ∨ q = False

Question 11

Consider the statements: p: You can pay by cash q: You can pay by card If p is True and q is True, what is the truth value of p ∨ q (p OR q)?
Step 1: Understand the disjunction (OR) operator
The disjunction p ∨ q is True when AT LEAST ONE of p or q is True.
It is False ONLY when both p and q are False.

Step 2: Apply the given values
p = True, q = True

Step 3: Evaluate p ∨ q
Since at least one of p or q is True, p ∨ q = True

Question 12

Consider the statements: p: The meeting is on Monday q: The meeting is on Tuesday If p is False and q is False, what is the truth value of p ∨ q (p OR q)?
Step 1: Understand the disjunction (OR) operator
The disjunction p ∨ q is True when AT LEAST ONE of p or q is True.
It is False ONLY when both p and q are False.

Step 2: Apply the given values
p = False, q = False

Step 3: Evaluate p ∨ q
Since both p and q are False, p ∨ q = False

Question 13

Consider the statements: p: The meeting is on Monday q: The meeting is on Tuesday If p is True and q is True, what is the truth value of p ∨ q (p OR q)?
Step 1: Understand the disjunction (OR) operator
The disjunction p ∨ q is True when AT LEAST ONE of p or q is True.
It is False ONLY when both p and q are False.

Step 2: Apply the given values
p = True, q = True

Step 3: Evaluate p ∨ q
Since at least one of p or q is True, p ∨ q = True

Question 14

Consider the statements: p: You can pay by cash q: You can pay by card If p is True and q is True, what is the truth value of p ∨ q (p OR q)?
Step 1: Understand the disjunction (OR) operator
The disjunction p ∨ q is True when AT LEAST ONE of p or q is True.
It is False ONLY when both p and q are False.

Step 2: Apply the given values
p = True, q = True

Step 3: Evaluate p ∨ q
Since at least one of p or q is True, p ∨ q = True

Question 15

Consider the statements: p: You can pay by cash q: You can pay by card If p is False and q is False, what is the truth value of p ∨ q (p OR q)?
Step 1: Understand the disjunction (OR) operator
The disjunction p ∨ q is True when AT LEAST ONE of p or q is True.
It is False ONLY when both p and q are False.

Step 2: Apply the given values
p = False, q = False

Step 3: Evaluate p ∨ q
Since both p and q are False, p ∨ q = False

Question 16

Consider the statements: p: Lisa likes coffee q: Lisa likes tea If p is True and q is False, what is the truth value of p ∨ q (p OR q)?
Step 1: Understand the disjunction (OR) operator
The disjunction p ∨ q is True when AT LEAST ONE of p or q is True.
It is False ONLY when both p and q are False.

Step 2: Apply the given values
p = True, q = False

Step 3: Evaluate p ∨ q
Since at least one of p or q is True, p ∨ q = True

Question 17

Consider the statements: p: The meeting is on Monday q: The meeting is on Tuesday If p is True and q is False, what is the truth value of p ∨ q (p OR q)?
Step 1: Understand the disjunction (OR) operator
The disjunction p ∨ q is True when AT LEAST ONE of p or q is True.
It is False ONLY when both p and q are False.

Step 2: Apply the given values
p = True, q = False

Step 3: Evaluate p ∨ q
Since at least one of p or q is True, p ∨ q = True

Question 18

Consider the statements: p: Tom is a doctor q: Tom is an engineer If p is True and q is True, what is the truth value of p ∨ q (p OR q)?
Step 1: Understand the disjunction (OR) operator
The disjunction p ∨ q is True when AT LEAST ONE of p or q is True.
It is False ONLY when both p and q are False.

Step 2: Apply the given values
p = True, q = True

Step 3: Evaluate p ∨ q
Since at least one of p or q is True, p ∨ q = True

Question 19

Consider the statements: p: The meeting is on Monday q: The meeting is on Tuesday If p is True and q is False, what is the truth value of p ∨ q (p OR q)?
Step 1: Understand the disjunction (OR) operator
The disjunction p ∨ q is True when AT LEAST ONE of p or q is True.
It is False ONLY when both p and q are False.

Step 2: Apply the given values
p = True, q = False

Step 3: Evaluate p ∨ q
Since at least one of p or q is True, p ∨ q = True

Question 20

Consider the statements: p: Tom is a doctor q: Tom is an engineer If p is False and q is True, what is the truth value of p ∨ q (p OR q)?
Step 1: Understand the disjunction (OR) operator
The disjunction p ∨ q is True when AT LEAST ONE of p or q is True.
It is False ONLY when both p and q are False.

Step 2: Apply the given values
p = False, q = True

Step 3: Evaluate p ∨ q
Since at least one of p or q is True, p ∨ q = True
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