1
GATE CSE 2019
MCQ (Single Correct Answer)
+1
-0.33
Compute $$\mathop {\lim }\limits_{x \to 3} {{{x^4} - 81} \over {2{x^2} - 5x - 3}}$$
A
1
B
Limit does not exits
C
$${{53} \over {12}}$$
D
$${{108} \over {7}}$$
2
GATE CSE 2019
MCQ (Single Correct Answer)
+2
-0.67

Let G be any connected, weighted, undirected graph.

I. G has a unique minimum spanning tree, if no two edges of G have the same weight.

II. G has a unique minimum spanning tree, if, for every cut of G, there is a unique minimum-weight edge crossing the cut.

Which of the above two statements is/are TRUE?

A

I only

B

II only

C

Both I and II

D

Neither I nor II

3
GATE CSE 2019
Numerical
+2
-0

Consider the following matrix :

$$ R=\left[\begin{array}{cccc} 1 & 2 & 4 & 8 \\ 1 & 3 & 9 & 27 \\ 1 & 4 & 16 & 64 \\ 1 & 5 & 25 & 125 \end{array}\right] $$

The absolute value of the product of Eigen values of $R$ is ___________.

Your input ____
4
GATE CSE 2019
Numerical
+1
-0
The following C program is executed on a Unix/Linux system:

         #include < unistd.h >
            int main ()
            {
                  int i ;
                  for (i=0; i<10; i++)
                         if (i%2 == 0) fork ( ) ;
                  return 0 ;
            }


The total number of child processes created is _____.
Your input ____
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