Statistical Representation of DataMCQMTP March 22Question 2783 of 295
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Cost of sugar in a month under the heads raw Materials, labour, direct production and others were $12, 20, 35\displaystyle and $23 units respectively. What is the diff. between the central angles for the largest and smallest components of the cost of sugar?

Select Your Answer (Keyboard: A, B, C, D)
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Correct Answer

✅ Option d — $92^\circ$

All Options:

  • A$72^\circ$
  • B$48^\circ$
  • C$56^\circ$
  • D$92^\circ$

Detailed Solution & Explanation

The component costs are: - Raw Materials = $12$ units - Labour = $20$ units - Direct Production = $35$ units - Others = $23$ units Total components sum = $12 + 20 + 35 + 23 = 90$ units. Since the total central angle in a pie chart is $360^\circ$, each unit corresponds to: 360∘90=4∘\displaystyle \frac{360^\circ}{90} = 4^\circ The largest component is Direct Production ($35$ units) and the smallest component is Raw Materials ($12$ units). The difference in units = $35 - 12 = 23$ units. The difference between their central angles is: Difference=23×4∘=92∘Difference=23\displaystyle \text{Difference} = 23 ×\displaystyle \times 4^\circ = 92^\circ This corresponds to Option D. Hence, **Option D** is the correct answer.

About This Chapter: Statistical Representation of Data

Paper

Paper 3: Quantitative Aptitude

Weightage

2-4 Marks

Key Topics

Data, Frequency Distribution, Graphical Representation

This chapter covers Data, Frequency Distribution, Graphical Representation and is part of Paper 3: Quantitative Aptitude in the CA Foundation exam.

View Official ICAI Syllabus

Exam Strategy Tip

This topic carries 2-4 Marks weightage. Focus on understanding core concepts rather than memorizing.

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