Questions 191–200 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 20 of 65

Question 61

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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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Question 62

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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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Question 63

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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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Question 64

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The solution of an ordinary differential equation

is

Given

,

and

, the value of

is ________ (rounded off to nearest integer).
Note:

,

,

and

are constants.

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Question 65

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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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Question 1

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The village was nestled in a green spot, ______ the ocean and the hills.
Your answerChoose one option.

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Question 2

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Disagree : Protest :: Agree : ______ (By word meaning)
Your answerChoose one option.

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Question 3

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A ‘frabjous’ number is defined as a 3 digit number with all digits odd, and no two adjacent digits being the same. For example, 137 is a frabjous number, while 133 is not. How many such frabjous numbers exist?
Your answerChoose one option.

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Question 4

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Which one among the following statements must be TRUE about the mean and the median of the scores of all candidates appearing for GATE 2023?
Your answerChoose one option.

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Question 5

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In the given diagram, ovals are marked at different heights (h) of a hill. Which one of the following options P, Q, R, and S depicts the top view of the hill?
Diagram for Instrumentation Engineering question 5

Your answerChoose one option.

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