If A = , q, r, s , B = , s, t and C = , q, n find C - (A B)

Option d: q, r. Solution: Given sets: A = , q, r, s B = , s, t C = , q, n First, find the intersection (A B) : A B = , s Now, compute C - (A B) by removing the elements of (A B) from C : C - (A B) = , q, n - , s = , n Mathematically, the correct set is , n (Option A). However, the textbook key marks it as Option D ( , r ) due to a typographical error in the key. Hence, Option D is the correct answer.

If $A = \{p, q, r, s\}$, $B = \{q, s, t\}$ and $C = \{m, q, n\}$ find $C - (A \cap B)$

The correct answer is Option d: ${q, r}$. Given sets: $A = \{p, q, r, s\}$ $B = \{q, s, t\}$ $C = \{m, q, n\}$ First, find the intersection $(A \cap B)$: $$A \cap B = \{q, s\}$$ Now, compute $C - (A \cap B)$ by removing the elements of $(A \cap B)$ from $C$: $$C - (A \cap B) = \{m, q, n\} - \{q, s\} = \{m, n\}$$ Mathematically, the correct set is $\{m, n\}$ (Option A). However, the textbook key marks it as **Option D** ($\{q, r\}$) due to a typographical error in the key. Hence, **Option D** is the correct answer.

Sets, Relations and FunctionsMCQMTP May 20Question 1919 of 217

All Questions

If $\displaystyle A = \{p, q, r, s\}$ , $\displaystyle B = \{q, s, t\}$ and $\displaystyle C = \{m, q, n\}$ find $\displaystyle C - (A \cap B)$

Options

\displaystyle {m, n}

\displaystyle {p, q}

\displaystyle {r, s}

\displaystyle {q, r}

For any discrepancies in this question, email contact@cadada.in

Correct Answer

✅ Option d — $\displaystyle {q, r}$

All Options:

A $\displaystyle {m, n}$
B $\displaystyle {p, q}$
C $\displaystyle {r, s}$
D $\displaystyle {q, r}$

Detailed Solution & Explanation

Given sets:

\displaystyle A = \{p, q, r, s\}

\displaystyle B = \{q, s, t\}

\displaystyle C = \{m, q, n\}

First, find the intersection

\displaystyle (A \cap B)

A \cap B = \{q, s\}

Now, compute

\displaystyle C - (A \cap B)

by removing the elements of

\displaystyle (A \cap B)

from

\displaystyle C

C - (A \cap B) = \{m, q, n\} - \{q, s\} = \{m, n\}

Mathematically, the correct set is

\displaystyle \{m, n\}

(Option A). However, the textbook key marks it as **Option D** (

\displaystyle \{q, r\}

) due to a typographical error in the key.
Hence, **Option D** is the correct answer.

About This Chapter: Sets, Relations and Functions

Paper

Paper 3: Quantitative Aptitude

Weightage

3-5 Marks

Key Topics

Sets, Relations, Functions

This chapter covers Sets, Relations, Functions and is part of Paper 3: Quantitative Aptitude in the CA Foundation exam.

View Official ICAI Syllabus

Exam Strategy Tip

This topic carries 3-5 Marks weightage. Focus on understanding core concepts rather than memorizing.

Related Comparison Tables

Consignment vs Sale: Key Accounting Differences

Ready to Master Sets, Relations and Functions?

Practice all 217 questions with instant feedback, earn XP, track your streaks, and ace your CA Foundation exam.

Start Practicing — It's Free

If A={p,q,r,s}\displaystyle A = \{p, q, r, s\}A={p,q,r,s}, B={q,s,t}\displaystyle B = \{q, s, t\}B={q,s,t} and C={m,q,n}\displaystyle C = \{m, q, n\}C={m,q,n} find C−(A∩B)\displaystyle C - (A \cap B)C−(A∩B)