Question 1 |

A die is rolled three times. The probability that exactly one odd number turns up among the three outcomes is

\dfrac{1}{6} | |

\dfrac{3}{8} | |

\dfrac{1}{8} | |

\dfrac{1}{2} |

Question 1 Explanation:

Question 2 |

Consider the following set of equations

x+2y=5\\ 4x+8y=12\\ 3x+6y+3z=15

This set

x+2y=5\\ 4x+8y=12\\ 3x+6y+3z=15

This set

has unique solution | |

has no solution | |

has finite number of solutions | |

has infinite number of solutions |

Question 2 Explanation:

Question 3 |

Which of the following statements applies to the bisection method used for finding roots of functions:

converges within a few iterations | |

guaranteed to work for all continuous functions | |

is faster than the Newton-Raphson method | |

requires that there be no error in determining the sign of the function |

Question 3 Explanation:

Question 4 |

Consider the function y=|x| in the interval [-1, 1]. In this interval, the function is

continuous and differentiable | |

continuous but not differentiable | |

differentiable but not continuous | |

neither continuous nor differentiable |

Question 4 Explanation:

Question 5 |

What is the converse of the following assertion?

I stay only if you go

I stay only if you go

I stay if you go | |

If I stay then you go | |

If you do not go then I do not stay | |

If I do not stay then you go |

Question 5 Explanation:

There are 5 questions to complete.