1
GATE CSE 2005
MCQ (Single Correct Answer)
+2
-0.6
What are the eigen values of the following $$2x2$$ matrix? $$$\left[ {\matrix{ 2 & { - 1} \cr { - 4} & 5 \cr } } \right]$$$
A
$$-1$$ and $$1$$
B
$$1$$ and $$6$$
C
$$2$$ and $$5$$
D
$$4$$ and $$-1$$
2
GATE CSE 2005
MCQ (Single Correct Answer)
+2
-0.6
Consider the following system of equations in three real variables $$x1, x2$$ and $$x3$$ :
$$2x1 - x2 + 3x3 = 1$$
$$3x1 + 2x2 + 5x3 = 2$$
$$ - x1 + 4x2 + x3 = 3$$
This system of equations has
A
no solution
B
a unique solution
C
more than one but a finite number of solutions
D
an infinite number of solutions
3
GATE CSE 2005
MCQ (Single Correct Answer)
+2
-0.6
Which one of the following graphs is NOT planar? GATE CSE 2005 Discrete Mathematics - Graph Theory Question 20 English
A
G1
B
G2
C
G3
D
G4
4
GATE CSE 2005
MCQ (Single Correct Answer)
+2
-0.6
Consider the following code fragment:
if (fork() == 0)
{
   a = a + 5;
   printf("%d, %d \n", a, &a);
}
else
{
   a = a - 5;
   printf ("%d, %d \n", a, &a);
}

Let $$u,v$$ be the values printed by the parent process, and $$x,y$$ be the values printed by the child process. Which one of the following is TRUE?
A
$$u=x+10$$ and $$v=y$$
B
$$u=x+10$$ and $$v \ne y$$
C
$$u+10=x$$ and $$v=y$$
D
$$u+10=x$$ and $$v \ne y$$
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