Allied & ICAR Exam Bank • ALLIED_1744 MCQ • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Ratios & Percentages

Question Statement:

The power transmitted by a shaft varies jointly as the torque $T$ and the rotational speed $N$. If a shaft transmits 30 kW at 150 rpm with torque $T_1$, how much power in kW does it transmit at 250 rpm with torque $1.2 T_1$?

Options:

  • (A) 60 kW
  • (B) 50 kW
  • (C) 72 kW
  • (D) 45 kW

Answer Key:

A

Step-by-Step Solution & Explanation

$P = k T N$. $P_2 / P_1 = (1.2 T_1 \times 250) / (T_1 \times 150) = 1.2 \times (5/3) = 2.0$. Thus $P_2 = 30 \times 2.0 = 60$ kW.
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