# 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.