GATE ME 2002

Question 1
Two dice are thrown. What is the probability that the sum of the numbers on the two dice is eight?
A
\frac{5}{36}
B
\frac{5}{18}
C
\frac{1}{4}
D
\frac{1}{3}
Engineering Mathematics   Probability and Statistics
Question 2
Which of the following functions is not differentiable in the domain [-1,1]?
A
f(x)=x^{2}
B
f(x)=x-1
C
f(x)=2
D
f(x)=maximum(x,-x)
Engineering Mathematics   Calculus
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.
Question 3
A regression model is used to express a variable Y as a function of another variable X. This implies that
A
there is a causal relationship between Y and X
B
a value of X may be used to estimate a value of Y
C
values of X exactly determine values of Y
D
there is no causal relationship between Y and X
Industrial Engineering   Production Planning and Control
Question 4
The principles of motion economy are mostly used while conducting
A
a method study on an operation
B
a time study on an operation
C
a financial appraisal of an operation
D
a feasibility study of the proposed manufacturing plant
   
Question 5
The standard time of an operation while conducting a time study is
A
mean observed time + allowances
B
normal time + allowances
C
mean observed time x rating factor + allowances
D
normal time x rating factor + allowances
Industrial Engineering   Production Planning and Control
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?
A
(0.16,0.24)
B
(0.12,0.28)
C
(0.08,0.32)
D
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
A
50
B
100
C
200
D
400
Industrial Engineering   Inventory Control
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
A
14
B
12
C
18
D
32
Machine Design   Gears
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}
Question 9
The minimum number of links in a single degree-of-freedom planar mechanism with both higher and lower kinematic pairs is
A
2
B
3
C
4
D
5
Theory of Machine   Planar Mechanisms
Question 10
The Coriolis component of acceleration is present in
A
4-bar mechanisms with 4 turning pairs
B
slider-crank mechanism
C
shape mechanism
D
Scotch Yoke mechanism
Theory of Machine   Displacement, Velocity and Acceleration
There are 10 questions to complete.

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