If A = , q, r, s , B = , s, t , C = , q, n Find C - [A B]

Option a: m, n. Solution: We are given sets: A = , q, r, s B = , s, t C = , q, n First, find the intersection A B (elements common to both A and B ): A B = , s Now, find C - [A B] (elements belonging to C but not to A B ): C - [A B] = , q, n - , s = , n Note: The correct answer is , n , which corresponds to Option A. The textbook answer key lists Option B ( , q ), which is a typographical error. Hence, Option A is the correct answer.

If $A = \{p, q, r, s\}$, $B = \{q, s, t\}$, $C = \{m, q, n\}$ Find $C - [A \cap B]$

The correct answer is Option a: ${m, n}$. We are given sets: $$A = \{p, q, r, s\}$$ $$B = \{q, s, t\}$$ $$C = \{m, q, n\}$$ First, find the intersection $A \cap B$ (elements common to both $A$ and $B$): $$A \cap B = \{q, s\}$$ Now, find $C - [A \cap B]$ (elements belonging to $C$ but not to $A \cap B$): $$C - [A \cap B] = \{m, q, n\} - \{q, s\} = \{m, n\}$$ *Note: The correct answer is $\{m, n\}$, which corresponds to Option A. The textbook answer key lists Option B ($\{p, q\}$), which is a typographical error.* Hence, **Option A** is the correct answer.

Sets, Relations and FunctionsMCQMTP Dec 2023 Series IIQuestion 1936 of 217

All Questions

If $\displaystyle A = \{p, q, r, s\}$ , $\displaystyle B = \{q, s, t\}$ , $\displaystyle C = \{m, q, n\}$ Find $\displaystyle C - [A \cap B]$

Options

\displaystyle {m, n}

\displaystyle {p, q}

\displaystyle {r, s}

\displaystyle {p, r}

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Correct Answer

✅ Option a — $\displaystyle {m, n}$

All Options:

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

Detailed Solution & Explanation

We are given sets:

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

B = \{q, s, t\}

C = \{m, q, n\}

First, find the intersection

\displaystyle A \cap B

(elements common to both

\displaystyle A

and

\displaystyle B

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

Now, find

\displaystyle C - [A \cap B]

(elements belonging to

\displaystyle C

but not to

\displaystyle A \cap B

C - [A \cap B] = \{m, q, n\} - \{q, s\} = \{m, n\}

*Note: The correct answer is

\displaystyle \{m, n\}

, which corresponds to Option A. The textbook answer key lists Option B (

\displaystyle \{p, q\}

), which is a typographical error.*
Hence, **Option A** 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.

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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}, 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]