Question 1 |

Let A and B be sets and let A^c and B^c denote the complements of the sets A and B. The set (A-B) \cup (B-A) \cup (A \cap B) is equal to

A \cup B | |

A^c \cup B^c | |

A \cap B | |

A^c \cap B^c |

Question 1 Explanation:

Question 2 |

Let X = \{2, 3, 6, 12, 24\}, Let \leq be the partial order defined by X \leq Y if x divides y. Number of edges in the Hasse diagram of (X, \leq) is

3 | |

4 | |

9 | |

None of the above |

Question 2 Explanation:

Question 3 |

Suppose X and Y are sets and |X| and |Y| are their respective cardinality. It is given that there are exactly 97 functions from X to Y. From this one can conclude that

|X| =1, |Y| =97 | |

|X| =97, |Y| =1 | |

|X| =97, |Y| =97 | |

None of the above |

Question 3 Explanation:

Question 4 |

Which of the following statements is FALSE?

The set of rational numbers is an abelian group under addition | |

The set of integers in an abelian group under addition | |

The set of rational numbers form an abelian group under multiplication | |

The set of real numbers excluding zero is an abelian group under multiplication |

Question 4 Explanation:

Question 5 |

Two dice are thrown simultaneously. The probability that at least one of them will have 6 facing up is

\frac{1}{36} | |

\frac{1}{3} | |

\frac{25}{36} | |

\frac{11}{36} |

Question 5 Explanation:

There are 5 questions to complete.