# Signals and Systems [GATE (Graduate Aptitude Test in Engineering) Electrical Engineering]: Questions 6 - 11 of 24

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## Question 6

Appeared in Year: 2013

### Question

MCQ▾

Two systems with impulse responses and are connected in cascade. Then the overall impulse response of the cascaded system is given by

### Choices

Choice (4)Response

a.

Product of and

b.

Sum of and

c.

Subtraction of from

d.

Convolution of and

## Question 7

Appeared in Year: 2013

### Question

MCQ▾

A band-limited signal with a maximum frequency of 5 kHz is to be sampled. According to the sampling theorem, the sampling frequency in kHz which is not valid is

### Choices

Choice (4)Response

a.

12

b.

5

c.

20

d.

15

## Question 8

Appeared in Year: 2013

### Question

MCQ▾

The impulse response of a system is . For an input , the output is

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 9

Appeared in Year: 2012

### Question

MCQ▾

The unilateral Laplace transform of is . The unilateral Laplace transform of is

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 10

Appeared in Year: 2012

### Question

MCQ▾

The input and output of a system are related as . The system is

### Choices

Choice (4)Response

a.

Stable and not time-invariant

b.

Time-invariant and not stable

c.

Not time-invariant and not stable

d.

Time-invariant and stable

## Question 11

Appeared in Year: 2013

### Question

MCQ▾

For a periodic signal, the fundamental frequency in rad/s is

### Choices

Choice (4)Response

a.

1500

b.

100

c.

500

d.

300

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