GATE IN year:2024 PYQs & Answers — Page 7

Questions 61–65 of 65. Imported answers require independent review unless marked reviewed.

Topic practice 65 questionsPage 7 of 7

A 50 kVA transformer has an efficiency of 95% at full load and unity power factor. Assume the core losses are negligible. The efficiency of the transformer at 75% of the full load and 0.8 power factor is ________ % (rounded off to one decimal place).

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A three-phase squirrel-cage induction motor has a starting torque of 100% of the full load torque and a maximum torque of 300% of the full load torque. Neglecting the stator impedance, the slip at the maximum torque is ________% (rounded off to two decimal places).

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Two magnetically coupled coils, when connected in series-aiding configuration, have a total inductance of 500 mH. When connected in series-opposing configuration, the coils have a total inductance of 300 mH. If the self-inductance of both the coils are equal, then the coupling coefficient is ________ (rounded off to two decimal places).

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The solution of an ordinary differential equation

Given

and

, the value of

is ________ (rounded off to nearest integer).

Note:

and

are constants.

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A random variable X has a probability density function

The probability of X > 2 is _________ (rounded off to three decimal places).

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GATE IN year:2024 PYQs

Question 61

Question 62

Question 63

Question 64

Question 65