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 |

Question 6 |

In carrying out a work sampling study in a machine shop, it was found that a particular lathe was down for 20% of the time. What would be the 95% confidence interval of this estimate if 100 observations were made?

(0.16,0.24) | |

(0.12,0.28) | |

(0.08,0.32) | |

none of these |

Question 7 |

An item can be purchased for Rs.100. The ordering cost is Rs.200 and the inventory carrying cost is 10% of the item cost per annum. If the annual demand is 4000 units, the economic order quantity (in units) is

50 | |

100 | |

200 | |

400 |

Question 8 |

The minimum number of teeth on the pinion to operate without interference in standard full height involute teeth gear mechanism with 20^{\circ}
pressure angle is

14 | |

12 | |

18 | |

32 |

Question 8 Explanation:

Z_{\text {tin }}= minimum no. of teeth on pinion to

avoid interference. since gear ratio is not given so we assumed

that arrangement is rack & pinion arrangement.

\begin{aligned} z_{\min } &=\frac{2 \times A w}{\sin ^{2} \phi}=\frac{2 \times 1}{\sin ^{2} 20}=17.09 \\ & \simeq 18 \text { teeth } \end{aligned}

avoid interference. since gear ratio is not given so we assumed

that arrangement is rack & pinion arrangement.

\begin{aligned} z_{\min } &=\frac{2 \times A w}{\sin ^{2} \phi}=\frac{2 \times 1}{\sin ^{2} 20}=17.09 \\ & \simeq 18 \text { teeth } \end{aligned}

Question 9 |

The minimum number of links in a single degree-of-freedom planar mechanism with both higher and lower kinematic pairs is

2 | |

3 | |

4 | |

5 |

Question 10 |

The Coriolis component of acceleration is present in

4-bar mechanisms with 4 turning pairs | |

slider-crank mechanism | |

shape mechanism | |

Scotch Yoke mechanism |

There are 10 questions to complete.