# GATE ME 2001

 Question 1
The divergence of vector $\vec{r}=x\vec{i}+y\vec{j}+z\vec{k}$ is
 A $\vec{i}+\vec{j}+\vec{k}$ B 3 C 0 D 1
Engineering Mathematics   Calculus
 Question 2
Consider the system of equations given below:
x+y=2
2x+2y=5
This system has
 A one solution B no solution C infinite solutions D four solutions
Engineering Mathematics   Linear Algebra

 Question 3
What is the derivative of $f(z)=\left | x\right |$ at $x=0?$
 A 1 B $-1$ C 0 D Does not exist
Engineering Mathematics   Calculus
 Question 4
The Gauss divergence theorem relates certain
 A surface integrals to volume integrals B surface integrals to line integrals C vector quantities to other vector quantities D line integrals to volume integrals
Engineering Mathematics   Calculus
 Question 5
For a spring-loaded roller-follower driven with a disc cam,
 A the pressure angle should be larger during rise than that during return for ease of transmitting motion B the pressure angle should be smaller during rise than that during return for ease of transmitting motion C the pressure angle should be large during rise as well as during return for ease of transmitting motion D the pressure angle does not affect the ease of transmitting motion

There are 5 questions to complete.

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