Question Bank • QB_GA_ADV_116 MCQ • 1 Mark

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Data Interpretation

Question Statement:

A pie chart depicts the operational budget allocation of an agricultural research institute across five expenditure heads: $\begin{array}{|l|c|} \hline \textbf{Budget Head} & \textbf{Central Angle} \\ \hline \text{Salaries and Honoraria} & 144^\circ \\ \text{Farm Machinery and Fuel} & 72^\circ \\ \text{Chemicals and Fertilizers} & 54^\circ \\ \text{Field Research and Trials} & 54^\circ \\ \text{Maintenance and Overheads} & 36^\circ \\ \hline \end{array}$ If the total annual budget is ext{Rs. }$20\text{ crores}$, what is the combined expenditure on 'Farm Machinery and Fuel' and 'Field Research and Trials' in ext{Rs. } crores?

Options:

  • (A) ext{Rs. }$7.0\text{ crores}$
  • (B) ext{Rs. }$8.0\text{ crores}$
  • (C) ext{Rs. }$6.0\text{ crores}$
  • (D) ext{Rs. }$5.5\text{ crores}$

Answer Key:

A

Step-by-Step Solution & Explanation

**Method 1: Sector Angle Conversion** Total circle central angle $= 360^\circ$. Combined angle for Machinery ($72^\circ$) and Field Research ($54^\circ$): $\theta_{\text{comb}} = 72^\circ + 54^\circ = 126^\circ$ $\text{Combined Budget} = 20\text{ crores} \times \frac{126^\circ}{360^\circ} = 20 \times \frac{7}{20} = 7.0\text{ crores}$ Option **A** is correct.
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