GATE ECE 2015 Set 2 | GATE ECE Year Wise Previous Years Questions

GATE ECE 2015 Set 2

MCQ (Single Correct Answer)

-0.3

The signal $$\cos \left( {10\pi t + {\pi \over 4}} \right)$$ is ideally sampled at a sampling frequency of 15 Hz. The sampled signal is passed through a filter with impulse response $$\,\left( {{{\sin \left( {\pi t} \right)} \over {\pi t}}} \right)\,\cos \left( {40\pi t - {\pi \over 2}} \right).$$ The filter output is

$${{15} \over 2}\cos \left( {40\pi t - {\pi \over 4}} \right)$$

$${{15} \over 2}\left( {{{\sin \left( {\pi t} \right)} \over {\pi t}}} \right)\cos \left( {10\pi t + {\pi \over 4}} \right)$$

$${{15} \over 2}\cos \left( {10\pi t - {\pi \over 4}} \right)$$

$${{15} \over 2}\left( {{{\sin \left( {\pi t} \right)} \over {\pi t}}} \right)\cos \left( {40\pi t - {\pi \over 2}} \right)$$

GATE ECE 2015 Set 2

MCQ (Single Correct Answer)

-0.3

The bilateral Laplace transform of a function $$f\left( t \right) = \left\{ {\matrix{ {1\,if\,a \le t \le b} \cr {0\,otherwise} \cr } } \right.$$ is

$${{a - b} \over s}\,$$

$${{{e^s}\left( {a - b} \right)} \over s}$$

$${{{e^{ - as}} - {e^{ - bs}}} \over s}$$

$${{{e^{s\left( {a - b} \right)}}} \over s}$$

GATE ECE 2015 Set 2

MCQ (Single Correct Answer)

-0.3

Ram and Ramesh appeared in an interview for two vacancies in the same department. The probability of Ram’s selection is 1/6 and that of Ramesh is 1/8. What is the probability that only one of them will be selected?

47/48

1/4

13/48

35/48

GATE ECE Papers

2024