GATE 2005 Electrical Engineering (EE) Question Paper with Answer Key PDF

GATE Questions

• 1.

  A drill bit during its lifetime can produce \(150\) through holes in a plate at a drill speed of \(200\) RPM. If the drill speed increases to \(300\) RPM, it can produce \(60\) through holes in the same plate before the drill bit fails. Assuming all other parameters remain constant, the value of the exponent in Taylor's tool life equation is ________ (rounded off to 2 decimal places).

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• 2.

  In a deep drawing operation of a rectangular sheet metal, \(30\%\) stretching in length results in \(15\%\) reduction in thickness. Assuming volume constancy, the normal anisotropy of the sheet metal is ________ (rounded off to 2 decimal places).

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• 3.

  The actual demand for castings in a factory is \(500\) units and \(635\) units for the months of January 2026 and February 2026, respectively. The forecasted demand for January 2026 is \(250\) units and the smoothing constant is \(0.7\). Using the exponential smoothing method, the forecast of the demand for castings in March 2026 is ________ units (in integer).

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• 4.

  The inventory holding cost of an item is Rs. \(0.50\) per unit per month and the ordering cost per order is Rs. \(550\). A stockist needs to supply \(10000\) units of the item per year to the customers. Assume demand is fixed and the shortage cost is infinite. Using the classical economic order quantity (EOQ) model, the optimal lot size is ________ units per order (rounded off to the nearest integer).

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• 5.

  Two rectangular surfaces both having 1 m² area are placed perpendicular to each other with a common edge. One surface is hot, having a temperature of 1000 K and emissivity of 0.4, while the other is insulated and in radiant balance with a large surrounding room at 300 K. If the fraction of radiation leaving the hot surface which reaches the cold surface is 0.2, then the equivalent overall resistance for the radiation heat loss from the hot surface is _______ m^-2 (rounded off to 2 decimal places).

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• 6.

  An inward flow reaction turbine, having an outer diameter of \(1\) m, runs at \(600\) RPM. The normal component of absolute velocity at the inlet is \(10\) m/s. If the guide blade angle is \(15^{\circ}\), then the inlet vane angle of the runner is ________ degree (rounded off to 1 decimal place).

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