GATE AG 2015 • Q32 MCQ • 1 Mark

Section 3: Farm Power

Farm Power

Subtopic: Calculation of power, torque, fuel consumption, heat load and power losses

Question Statement:

The grain to straw ratio of wheat crop is 1.5 : 1. The output capacity and cleaning efficiency of a thresher at an optimal operating condition are 500 kg h⁻¹ and 99%, respectively. If the grain recovery at main grain outlet is 100%, the throughput capacity in kg h⁻¹ will be

Options:

  • (A) 758
  • (B) 825
  • (C) 1238
  • (D) 1320

Official Answer Key:

B

Step-by-Step Solution & Explanation

Grain fraction of total crop material = 1.5/(1.5+1) = 0.6, so total material (grain+straw) to grain ratio = 2.5/1.5 = 1.6667. Throughput capacity (total crop material fed per hour) = Output capacity × (total/grain ratio) × cleaning efficiency (since grain recovery = 100%, that factor drops out): = 500 × (2.5/1.5) × 0.99 = 500 × 1.6667 × 0.99 = 825 kg h⁻¹. Matches option (B) exactly.

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