Question 1 |

Two dice are thrown. What is the probability that the sum of the numbers on the two dice is eight?

\frac{5}{36} | |

\frac{5}{18} | |

\frac{1}{4} | |

\frac{1}{3} |

Question 2 |

Which of the following functions is not differentiable in the domain [-1,1]?

f(x)=x^{2} | |

f(x)=x-1 | |

f(x)=2 | |

f(x)=maximum(x,-x) |

Question 2 Explanation:

we know that |x| is not differentiable at x=0 which is in interval [-1,1].

Rest of the functions are continuous and differentiable everywhere.

Rest of the functions are continuous and differentiable everywhere.

Question 3 |

A regression model is used to express a variable Y as a function of another variable X. This implies that

there is a causal relationship between Y and X | |

a value of X may be used to estimate a value of Y | |

values of X exactly determine values of Y | |

there is no causal relationship between Y and X |

Question 4 |

The principles of motion economy are mostly used while conducting

a method study on an operation | |

a time study on an operation | |

a financial appraisal of an operation | |

a feasibility study of the proposed manufacturing plant |

Question 5 |

The standard time of an operation while conducting a time study is

mean observed time + allowances | |

normal time + allowances | |

mean observed time x rating factor + allowances | |

normal time x rating factor + allowances |

There are 5 questions to complete.