Correct Answer
✅ Option c —
All Options:
- A
- B
- C
- D
Ad
Ad
Detailed Solution & Explanation
**Interpretation 1: Function Composition (Standard for this type of problem)**
In function notation, typically represents the three-fold composition of with itself, i.e., .
Given:
First, let's find the second composition, :
Simplify the denominator:
So,
Next, let's find the third composition, :
Simplify the denominator:
So,
**Interpretation 2: Algebraic Cube**
If represented the algebraic cube , then:
This expression does not match any of the given options.
**Discrepancy & Typographical Error:**
Under the standard composition interpretation, the mathematical derivation yields . The options provided in the textbook have a typographical error where Option C is listed as instead of (or is misprinted as ). The intended answer is , which corresponds to Option C with this correction.
Hence, **Option C** 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 SyllabusExam Strategy Tip
This topic carries 3-5 Marks weightage. Focus on understanding core concepts rather than memorizing.
Related Comparison Tables
More Questions from Sets, Relations and Functions
If , and then is:
If , evaluate , , , and .
Out of a group of teachers in a school, teach Mathematics, teach Physics and teach Chemistry. teach Mathematics and Physics but none teach both Mathematics and Chemistry. How many teach Chemistry and Physics; how many teach only Physics?
If and then how many proper subset of can be created?
The number of subsets of the set is:
If and , then find the value of 'x'.
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