# 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 |