Statistical Representation of DataMCQMTP Dec 22 - Series IQuestion 2664 of 295
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The cost of sugar in a month under the heads of raw Materials, labor, direct production, and others were 12,20,35\displaystyle 12, 20, 35 and 23\displaystyle 23 units respectively. What is the difference between the central angles for the largest and smallest components of the cost of sugar?

Options

A72∘\displaystyle 72^\circ
B48∘\displaystyle 48^\circ
C56∘\displaystyle 56^\circ
D92∘\displaystyle 92^\circ
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Correct Answer

✅ Option d — 92∘\displaystyle 92^\circ

All Options:

  • A72∘\displaystyle 72^\circ
  • B48∘\displaystyle 48^\circ
  • C56∘\displaystyle 56^\circ
  • D92∘\displaystyle 92^\circ

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Detailed Solution & Explanation

To find the difference between the central angles for the largest and smallest components of the cost of sugar, we follow these steps:\n1. Find the total sum of all components:\ntextTotal=12+20+35+23=90textunits\\text{Total} = 12 + 20 + 35 + 23 = 90\\text{ units}\n2. The total central angle of a pie chart is \displaystyle 360^\\circ. The angle corresponding to each unit is:\n\\text{Angle per unit} = \\frac{360^\\circ}{90} = 4^\\circ\n3. Identify the largest and smallest components:\n- Largest component: Direct production = 35\displaystyle 35 units\n- Smallest component: Raw Materials = 12\displaystyle 12 units\n4. Calculate the difference between them:\ntextDifferenceinunits=35−12=23textunits\\text{Difference in units} = 35 - 12 = 23\\text{ units}\n5. Calculate the difference in their central angles:\n\\text{Difference in central angles} = 23 \\times 4^\\circ = 92^\\circ\nHence, **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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