Question 1 |

Consider the following two statements.

S1: If a candidate is known to be corrupt, then he will not be elected

S2: If a candidate is kind, he will be elected

Which one of the following statements follows from S1 and S2 as per sound inference rules of logic?

S1: If a candidate is known to be corrupt, then he will not be elected

S2: If a candidate is kind, he will be elected

Which one of the following statements follows from S1 and S2 as per sound inference rules of logic?

If a person is known to be corrupt, he is kind | |

If a person is not known to be corrupt, he is not kind | |

If a person is kind, he is not known to be corrupt | |

If a person is not kind, he is not known to be corrupt |

Question 1 Explanation:

Question 2 |

The cardinality of the power set of { 0, 1, 2,..., 10 } is _________.

10 | |

1024 | |

2048 | |

4096 |

Question 2 Explanation:

Question 3 |

Let R be the relation on the set of positive integers such that aRb if and only if a and b are distinct and have a common divisor other than 1. Which one of the following statements about R is true?

R is symmetric and reflexive but not transitive | |

R is reflexive but not symmetric and not transitive | |

R is transitive but not reflexive and not symmetric | |

R is symmetric but not reflexive and not transitive |

Question 3 Explanation:

Question 4 |

The number of divisors of 2100 is _____ .

28 | |

34 | |

36 | |

40 |

Question 4 Explanation:

Question 5 |

The larger of the two eigenvalues of the matrix \begin{bmatrix} 4 & 5\\ 2&1 \end{bmatrix} is _______.

4 | |

6 | |

8 | |

10 |

Question 5 Explanation:

There are 5 questions to complete.