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.
