GATE ECE 2017 Paper 1 — page 2

Questions 4–6 of 65. Imported answers require review unless explicitly marked reviewed.

Three fair cubic dice are thrown simultaneously. The probability that all three dice have the same number of dots on the faces show up is (up to third decimal place) ______.

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Consider the following statements for continuous-time linear time invariant (LTI) systems.

I. There is no bounded input bounded output (BIBO) stable system with a pole in the right half of the complex plane. II. There is no causal and BIBO stable system with a pole in the right half of the complex plane.

Which one among the following is correct?

Your answerChoose one option.

Both I and II are true

Both I and II are not true

Only I is true

Only II is true

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Consider a single input single output discrete-time system with

as input and

as output, where the two are related as

Which one of the following statements is true about the system?

Your answerChoose one option.

It is causal and stable

It is causal but not stable

It is not causal but stable

It is neither causal nor stable

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2017 · Paper 1

Question 4

Question 5

Question 6