ReasoningAbility.com

Exclusive OR (XOR) Beginner-Intermediate Worksheet: Focus on common variations practice Exclusive OR (XOR) BEGINNER INTERMEDIATE

Level up your Exclusive OR (XOR) skills! You're at Worksheet 4 of 10 (33% through this series). This step-up challenge worksheet features 20 beginner-intermediate-level problems with a focus on common variations practice. Topics covered: exclusive or (xor) for competitive exams, how to solve exclusive or (xor), exclusive or (xor) tricks.

📝 Worksheet 4 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner Intermediate level

What you'll learn in this worksheet:
Your progress through Exclusive OR (XOR)
Worksheet 4 of 10 (33% complete)

Question 1

Consider the statement: "Either p: He will come today OR q: He will come tomorrow, but NOT both" If p is True and q is True, is this statement true?
Step 1: Understand Exclusive OR (XOR)
Exclusive OR (p ⊕ q) is True when EXACTLY ONE of p or q is True.
It is False when both are True or both are False.

Truth table for p ⊕ q:
p=T, q=T → Result=F (both true)
p=T, q=F → Result=T (exactly one)
p=F, q=T → Result=T (exactly one)
p=F, q=F → Result=F (neither true)

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

Step 3: Evaluate the exclusive OR
Since both have the same truth value, the exclusive OR is False

Question 2

Consider the statement: "Either p: You can have tea OR q: You can have coffee, but NOT both" If p is False and q is False, is this statement true?
Step 1: Understand Exclusive OR (XOR)
Exclusive OR (p ⊕ q) is True when EXACTLY ONE of p or q is True.
It is False when both are True or both are False.

Truth table for p ⊕ q:
p=T, q=T → Result=F (both true)
p=T, q=F → Result=T (exactly one)
p=F, q=T → Result=T (exactly one)
p=F, q=F → Result=F (neither true)

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

Step 3: Evaluate the exclusive OR
Since both have the same truth value, the exclusive OR is False

Question 3

Consider the statement: "Either p: She lives in Mumbai OR q: She lives in Delhi, but NOT both" If p is False and q is True, is this statement true?
Step 1: Understand Exclusive OR (XOR)
Exclusive OR (p ⊕ q) is True when EXACTLY ONE of p or q is True.
It is False when both are True or both are False.

Truth table for p ⊕ q:
p=T, q=T → Result=F (both true)
p=T, q=F → Result=T (exactly one)
p=F, q=T → Result=T (exactly one)
p=F, q=F → Result=F (neither true)

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

Step 3: Evaluate the exclusive OR
Since exactly one of p or q is True, the exclusive OR is True

Question 4

Consider the statement: "Either p: You can have tea OR q: You can have coffee, but NOT both" If p is False and q is True, is this statement true?
Step 1: Understand Exclusive OR (XOR)
Exclusive OR (p ⊕ q) is True when EXACTLY ONE of p or q is True.
It is False when both are True or both are False.

Truth table for p ⊕ q:
p=T, q=T → Result=F (both true)
p=T, q=F → Result=T (exactly one)
p=F, q=T → Result=T (exactly one)
p=F, q=F → Result=F (neither true)

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

Step 3: Evaluate the exclusive OR
Since exactly one of p or q is True, the exclusive OR is True

Question 5

Consider the statement: "Either p: She lives in Mumbai OR q: She lives in Delhi, but NOT both" If p is True and q is True, is this statement true?
Step 1: Understand Exclusive OR (XOR)
Exclusive OR (p ⊕ q) is True when EXACTLY ONE of p or q is True.
It is False when both are True or both are False.

Truth table for p ⊕ q:
p=T, q=T → Result=F (both true)
p=T, q=F → Result=T (exactly one)
p=F, q=T → Result=T (exactly one)
p=F, q=F → Result=F (neither true)

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

Step 3: Evaluate the exclusive OR
Since both have the same truth value, the exclusive OR is False

Question 6

Consider the statement: "Either p: You can have tea OR q: You can have coffee, but NOT both" If p is False and q is False, is this statement true?
Step 1: Understand Exclusive OR (XOR)
Exclusive OR (p ⊕ q) is True when EXACTLY ONE of p or q is True.
It is False when both are True or both are False.

Truth table for p ⊕ q:
p=T, q=T → Result=F (both true)
p=T, q=F → Result=T (exactly one)
p=F, q=T → Result=T (exactly one)
p=F, q=F → Result=F (neither true)

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

Step 3: Evaluate the exclusive OR
Since both have the same truth value, the exclusive OR is False

Question 7

Consider the statement: "Either p: The answer is A OR q: The answer is B, but NOT both" If p is True and q is True, is this statement true?
Step 1: Understand Exclusive OR (XOR)
Exclusive OR (p ⊕ q) is True when EXACTLY ONE of p or q is True.
It is False when both are True or both are False.

Truth table for p ⊕ q:
p=T, q=T → Result=F (both true)
p=T, q=F → Result=T (exactly one)
p=F, q=T → Result=T (exactly one)
p=F, q=F → Result=F (neither true)

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

Step 3: Evaluate the exclusive OR
Since both have the same truth value, the exclusive OR is False

Question 8

Consider the statement: "Either p: She lives in Mumbai OR q: She lives in Delhi, but NOT both" If p is True and q is False, is this statement true?
Step 1: Understand Exclusive OR (XOR)
Exclusive OR (p ⊕ q) is True when EXACTLY ONE of p or q is True.
It is False when both are True or both are False.

Truth table for p ⊕ q:
p=T, q=T → Result=F (both true)
p=T, q=F → Result=T (exactly one)
p=F, q=T → Result=T (exactly one)
p=F, q=F → Result=F (neither true)

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

Step 3: Evaluate the exclusive OR
Since exactly one of p or q is True, the exclusive OR is True

Question 9

Consider the statement: "Either p: She lives in Mumbai OR q: She lives in Delhi, but NOT both" If p is False and q is True, is this statement true?
Step 1: Understand Exclusive OR (XOR)
Exclusive OR (p ⊕ q) is True when EXACTLY ONE of p or q is True.
It is False when both are True or both are False.

Truth table for p ⊕ q:
p=T, q=T → Result=F (both true)
p=T, q=F → Result=T (exactly one)
p=F, q=T → Result=T (exactly one)
p=F, q=F → Result=F (neither true)

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

Step 3: Evaluate the exclusive OR
Since exactly one of p or q is True, the exclusive OR is True

Question 10

Consider the statement: "Either p: The answer is A OR q: The answer is B, but NOT both" If p is False and q is True, is this statement true?
Step 1: Understand Exclusive OR (XOR)
Exclusive OR (p ⊕ q) is True when EXACTLY ONE of p or q is True.
It is False when both are True or both are False.

Truth table for p ⊕ q:
p=T, q=T → Result=F (both true)
p=T, q=F → Result=T (exactly one)
p=F, q=T → Result=T (exactly one)
p=F, q=F → Result=F (neither true)

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

Step 3: Evaluate the exclusive OR
Since exactly one of p or q is True, the exclusive OR is True

Question 11

Consider the statement: "Either p: She lives in Mumbai OR q: She lives in Delhi, but NOT both" If p is True and q is True, is this statement true?
Step 1: Understand Exclusive OR (XOR)
Exclusive OR (p ⊕ q) is True when EXACTLY ONE of p or q is True.
It is False when both are True or both are False.

Truth table for p ⊕ q:
p=T, q=T → Result=F (both true)
p=T, q=F → Result=T (exactly one)
p=F, q=T → Result=T (exactly one)
p=F, q=F → Result=F (neither true)

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

Step 3: Evaluate the exclusive OR
Since both have the same truth value, the exclusive OR is False

Question 12

Consider the statement: "Either p: He will come today OR q: He will come tomorrow, but NOT both" If p is True and q is False, is this statement true?
Step 1: Understand Exclusive OR (XOR)
Exclusive OR (p ⊕ q) is True when EXACTLY ONE of p or q is True.
It is False when both are True or both are False.

Truth table for p ⊕ q:
p=T, q=T → Result=F (both true)
p=T, q=F → Result=T (exactly one)
p=F, q=T → Result=T (exactly one)
p=F, q=F → Result=F (neither true)

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

Step 3: Evaluate the exclusive OR
Since exactly one of p or q is True, the exclusive OR is True

Question 13

Consider the statement: "Either p: She lives in Mumbai OR q: She lives in Delhi, but NOT both" If p is False and q is True, is this statement true?
Step 1: Understand Exclusive OR (XOR)
Exclusive OR (p ⊕ q) is True when EXACTLY ONE of p or q is True.
It is False when both are True or both are False.

Truth table for p ⊕ q:
p=T, q=T → Result=F (both true)
p=T, q=F → Result=T (exactly one)
p=F, q=T → Result=T (exactly one)
p=F, q=F → Result=F (neither true)

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

Step 3: Evaluate the exclusive OR
Since exactly one of p or q is True, the exclusive OR is True

Question 14

Consider the statement: "Either p: He will come today OR q: He will come tomorrow, but NOT both" If p is False and q is True, is this statement true?
Step 1: Understand Exclusive OR (XOR)
Exclusive OR (p ⊕ q) is True when EXACTLY ONE of p or q is True.
It is False when both are True or both are False.

Truth table for p ⊕ q:
p=T, q=T → Result=F (both true)
p=T, q=F → Result=T (exactly one)
p=F, q=T → Result=T (exactly one)
p=F, q=F → Result=F (neither true)

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

Step 3: Evaluate the exclusive OR
Since exactly one of p or q is True, the exclusive OR is True

Question 15

Consider the statement: "Either p: The answer is A OR q: The answer is B, but NOT both" If p is False and q is True, is this statement true?
Step 1: Understand Exclusive OR (XOR)
Exclusive OR (p ⊕ q) is True when EXACTLY ONE of p or q is True.
It is False when both are True or both are False.

Truth table for p ⊕ q:
p=T, q=T → Result=F (both true)
p=T, q=F → Result=T (exactly one)
p=F, q=T → Result=T (exactly one)
p=F, q=F → Result=F (neither true)

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

Step 3: Evaluate the exclusive OR
Since exactly one of p or q is True, the exclusive OR is True

Question 16

Consider the statement: "Either p: The light is on OR q: The light is off, but NOT both" If p is True and q is True, is this statement true?
Step 1: Understand Exclusive OR (XOR)
Exclusive OR (p ⊕ q) is True when EXACTLY ONE of p or q is True.
It is False when both are True or both are False.

Truth table for p ⊕ q:
p=T, q=T → Result=F (both true)
p=T, q=F → Result=T (exactly one)
p=F, q=T → Result=T (exactly one)
p=F, q=F → Result=F (neither true)

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

Step 3: Evaluate the exclusive OR
Since both have the same truth value, the exclusive OR is False

Question 17

Consider the statement: "Either p: He will come today OR q: He will come tomorrow, but NOT both" If p is False and q is False, is this statement true?
Step 1: Understand Exclusive OR (XOR)
Exclusive OR (p ⊕ q) is True when EXACTLY ONE of p or q is True.
It is False when both are True or both are False.

Truth table for p ⊕ q:
p=T, q=T → Result=F (both true)
p=T, q=F → Result=T (exactly one)
p=F, q=T → Result=T (exactly one)
p=F, q=F → Result=F (neither true)

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

Step 3: Evaluate the exclusive OR
Since both have the same truth value, the exclusive OR is False

Question 18

Consider the statement: "Either p: The answer is A OR q: The answer is B, but NOT both" If p is False and q is False, is this statement true?
Step 1: Understand Exclusive OR (XOR)
Exclusive OR (p ⊕ q) is True when EXACTLY ONE of p or q is True.
It is False when both are True or both are False.

Truth table for p ⊕ q:
p=T, q=T → Result=F (both true)
p=T, q=F → Result=T (exactly one)
p=F, q=T → Result=T (exactly one)
p=F, q=F → Result=F (neither true)

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

Step 3: Evaluate the exclusive OR
Since both have the same truth value, the exclusive OR is False

Question 19

Consider the statement: "Either p: He will come today OR q: He will come tomorrow, but NOT both" If p is True and q is False, is this statement true?
Step 1: Understand Exclusive OR (XOR)
Exclusive OR (p ⊕ q) is True when EXACTLY ONE of p or q is True.
It is False when both are True or both are False.

Truth table for p ⊕ q:
p=T, q=T → Result=F (both true)
p=T, q=F → Result=T (exactly one)
p=F, q=T → Result=T (exactly one)
p=F, q=F → Result=F (neither true)

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

Step 3: Evaluate the exclusive OR
Since exactly one of p or q is True, the exclusive OR is True

Question 20

Consider the statement: "Either p: She lives in Mumbai OR q: She lives in Delhi, but NOT both" If p is True and q is True, is this statement true?
Step 1: Understand Exclusive OR (XOR)
Exclusive OR (p ⊕ q) is True when EXACTLY ONE of p or q is True.
It is False when both are True or both are False.

Truth table for p ⊕ q:
p=T, q=T → Result=F (both true)
p=T, q=F → Result=T (exactly one)
p=F, q=T → Result=T (exactly one)
p=F, q=F → Result=F (neither true)

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

Step 3: Evaluate the exclusive OR
Since both have the same truth value, the exclusive OR is False
Previous Worksheet Next Worksheet