1
GATE CSE 2022
MCQ (Single Correct Answer)
+1
-0.33

Which of the properties hold for the adjacency matrix A of a simple undirected unweighted graph having n vertices?

A
The diagonal entries of A2 are the degrees of the vertices of the graph.
B
If the graph is connected, then none of the entries of An $$-$$ 1 + In can be zero.
C
If the sum of all the elements of A is at most 2(n $$-$$ 1), then the graph must be acyclic.
D
If there is at least a 1 in each of A's rows and columns, then the graph must be connected.
2
GATE CSE 2022
MCQ (More than One Correct Answer)
+1
-0.33

Which of the following is/are the eigen vector(s) for the matrix given below?

$$\left( {\matrix{ { - 9} & { - 6} & { - 2} & { - 4} \cr { - 8} & { - 6} & { - 3} & { - 1} \cr {20} & {15} & 8 & 5 \cr {32} & {21} & 7 & {12} \cr } } \right)$$

A
$$\left( {\matrix{ { - 1} \cr 1 \cr 0 \cr 1 \cr } } \right)$$
B
$$\left( {\matrix{ 1 \cr 0 \cr { - 1} \cr 0 \cr } } \right)$$
C
$$\left( {\matrix{ { - 1} \cr 0 \cr 2 \cr 2 \cr } } \right)$$
D
$$\left( {\matrix{ 0 \cr 1 \cr { - 3} \cr 0 \cr } } \right)$$
3
GATE CSE 2022
MCQ (Single Correct Answer)
+1
-0.33

Consider the following threads, T1, T2 and T3 executing on a single processor, synchronized using three binary semaphore variables, S1, S2 and S3, operated upon using standard wait( ) and signal( ). The threads can be context switched in any order and at any time.

$${T_1}$$ $${T_2}$$ $${T_3}$$
while (true) {
wait ($${S_3}$$);
print ("C");
signal ($${S_2}$$); }
while (true) {
wait ($${S_1}$$);
print ("B");
signal ($${S_3}$$); }
while (true) {
wait ($${S_2}$$);
print ("A")
signal ($${S_1}$$); }

Which initialization of the semaphores would print the sequence BCABCABCA....... ?

A
S1 = 1; S2 = 1; S3 = 1
B
S1 = 1; S2 = 1; S3 = 0
C
S1 = 1; S2 = 0; S3 = 0
D
S0 = 1; S2 = 1; S3 = 1
4
GATE CSE 2022
MCQ (More than One Correct Answer)
+1
-0.33

Which of the following statements is/are TRUE with respect to deadlocks?

A
Circular wait is a necessary condition for the formation of deadlock.
B
In a system where each resource has more than one instance, a cycle in its wait for graph indicates the presence of a deadlock.
C
If the current allocation of resources to processes leads the system to unsafe state, then deadlock will necessarily occur.
D
In the resource-allocation graph of a system, if every edge is an assignment edge, then the system is not in deadlock state.
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
CBSE
Class 12