Sets, Relations and FunctionsMCQMTP Nov 18Question 1913 of 217
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The number of subsets 1,2,5\displaystyle {1, 2, 5} is

Options

A3
B8
C6
D9
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Correct Answer

Option c6

All Options:

  • A3
  • B8
  • C6
  • D9

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Detailed Solution & Explanation

The given set is S={1,2,5}\displaystyle S = \{1, 2, 5\}.
The number of elements in the set S\displaystyle S is n=3\displaystyle n = 3.
The total number of subsets of a set with n\displaystyle n elements is given by 2n\displaystyle 2^n.
Substituting n=3\displaystyle n = 3:
Number of subsets=23=8\text{Number of subsets} = 2^3 = 8
Mathematically, the correct number of subsets is 8\displaystyle 8 (Option B). However, the textbook key marks it as **Option C** (6). This is likely a typographical error in the key, or the question meant to ask for the number of non-empty proper subsets, which is given by 2n2=232=6\displaystyle 2^n - 2 = 2^3 - 2 = 6.
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 Syllabus

Exam Strategy Tip

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

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