# Set Theory & Algebra [GATE (Graduate Aptitude Test in Engineering) Computer Science]: Questions 1 - 6 of 98

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## Question 1

### Question MCQ▾

If AC power has a frequency of 80 Hz. What is the period of this sine wave?

### Choices

Choice (4) | Response | |
---|---|---|

a. | 12.5 | |

b. | 78.3 | |

c. | 16.5 | |

d. | All of the above |

## Question 2

### Question MCQ▾

The period of a signal is 200 ms. what is its frequency in kilohertz?

### Choices

Choice (4) | Response | |
---|---|---|

a. | ||

b. | ||

c. | ||

d. | All of the above |

## Question 3

Appeared in Year: *2015*

### Question MCQ▾

Which of the following properties a Group G must hold, in order to be an Abelian group?

(1) The distributive property

(2) The commutative property

(3) The symmetric property (December)

### Choices

Choice (4) | Response | |
---|---|---|

a. | (2) only | |

b. | (2) and (3) | |

c. | (1) and (2) | |

d. | (1) only |

## Question 4

Appeared in Year: *2015*

### Question MCQ▾

There are exactly … different finite automata with three states x, y and z over the alphabet {a, b} where x is always the start state. (December)

### Choices

Choice (4) | Response | |
---|---|---|

a. | 5832 | |

b. | 1024 | |

c. | 256 | |

d. | 64 |

## Question 5

Appeared in Year: *2015*

### Question MCQ▾

A horn clause is … (December)

### Choices

Choice (4) | Response | |
---|---|---|

a. | A disjunction of a number of literals | |

b. | A clause that has at most one positive literal. | |

c. | A clause in which no variables occur in the expression | |

d. | A clause that has at least one negative literal |

## Question 6

Appeared in Year: *2010*

### Question MCQ▾

“*x*1 is a clone of *x*” means *x*1 is identical to *x* in terms of the physical attributes namely, height, weight and complexion. Given, height, weight and complexion only form a complete set of attributes for an entity, cloning is an equivalence relation. What is your impression about this statement? (June Paper II)

### Choices

Choice (4) | Response | |
---|---|---|

a. | The statement is true | |

b. | The statement is false | |

c. | The truth value of the statement cannot be computed | |

d. | Question does not provide sufficient data or is vague |