GATE EE 2022 | GATE EE Year Wise Previous Years Questions

GATE EE 2022

MCQ (Single Correct Answer)

-0.67

Consider the system as shown below:

GATE EE 2022 Signals and Systems - Linear Time Invariant Systems Question 11 English

where y(t) = x(e^t). The system is

linear and causal.

linear and non-causal.

non-linear and causal.

non-linear and non-causal.

GATE EE 2022

MCQ (Single Correct Answer)

-0.67

The discrete time Fourier series representation of a signal x[n] with period N is written as $$x[n] = \sum\nolimits_{k = 0}^{N - 1} {{a_k}{e^{j(2kn\pi /N)}}} $$. A discrete time periodic signal with period N = 3, has the non-zero Fourier series coefficients : a_$$-$$3 = 2 and a₄ = 1. The signal is

$$2 + 2{e^{ - \left( {j{{2\pi } \over 6}n} \right)}}\cos \left( {{{2\pi } \over 6}n} \right)$$

$$1 + 2{e^{\left( {j{{2\pi } \over 6}n} \right)}}\cos \left( {{{2\pi } \over 6}n} \right)$$

$$1 + 2{e^{\left( {j{{2\pi } \over 3}n} \right)}}\cos \left( {{{2\pi } \over 6}n} \right)$$

$$2 + 2{e^{\left( {j{{2\pi } \over 6}n} \right)}}\cos \left( {{{2\pi } \over 6}n} \right)$$

GATE EE 2022

MCQ (Single Correct Answer)

-0.33

As you grow older, an injury to your __________ may take longer to ___________.

heel / heel

heal / heel

heal / heal

heel / heal

GATE EE 2022

MCQ (Single Correct Answer)

-0.33

In a 500 m race, P and Q have speeds in the ratio of 3 : 4. Q starts the race when P has already covered 140 m. What is the distance between P and Q (in m) when P wins the race?

140

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