PYQs Based test 25: Engineering Mathematics

Topics Covered

Sample Questions from this Test

1. Consider a function f(x, y, z) given by
   
   f(x, y, z) = (x² + y² – 2z²)(y² + z²)
   
   The partial derivative of this function with respect to x at the point x = 2, y = 1 and z = 3 is _______
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2. Let p(z) = z³ + (1 + j) z² + (2 + j) z + 3, where z is a complex number.
   
   Which one of the following is true?
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3. Assume that in a traffic junction, the cycle of the traffic signal lights is 2 minutes of green (vehicle does not stop) and 3 minutes of red (vehicle stops). Consider that the arrival time of vehicles at the junction is uniformly distributed over 5 minute cycle. The expected waiting time (in minutes) for the vehicle at the junction is ___________ .
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Test Instructions

• The test contains 20 questions and a total of 32 marks.
• You will have 180 minutes to complete the test. The timer cannot be paused once started.
• Negative marking: 0.25 mark(s) deducted per wrong answer.
• Use the question palette to mark questions for review and navigate freely.
• Detailed solutions and analytics are available immediately after submission.
• This is a free practice test. No login required to attempt.