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


There are 5 questions to complete.

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