1
GATE CSE 2007
MCQ (Single Correct Answer)
+1
-0.3
The height of a binary tree is the maximum number of edges in any root to leaf path. The maximum number of nodes in a binary tree of height $$h$$ is:
A
$${2^h} - 1$$
B
$${2^{h - 1}} - 1$$
C
$${2^{h + 1}} - 1$$
D
$${2^{h + 1}}$$
2
GATE CSE 2007
MCQ (Single Correct Answer)
+1
-0.3
Consider a weighted undirected graph with positive edge weights and let $$uv$$ be an edge in the graph. It is known that the shortest path from the source vertex $$s$$ to $$u$$ has weight 53 and the shortest path from $$s$$ to $$v$$ has weighted 65. Which one of the following statements is always true?
A
weight$$(u, v)$$ $$ < 12$$
B
weight$$(u, v)$$ $$ \le 12$$
C
weight$$(u, v)$$ $$ > 12$$
D
weight$$(u, v)$$ $$ \ge 12$$
3
GATE CSE 2007
MCQ (Single Correct Answer)
+1
-0.3
Let $$G$$ be the non-planar graph with minimum possible number of edges. Then $$G$$ has
A
9 edges and 5 vertices
B
9 edges and 6 vertices
C
10 edges and 5 vertices
D
10 edges and 6 vertices
4
GATE CSE 2006
MCQ (Single Correct Answer)
+1
-0.3
If all the edge weights of an undirected graph are positive, then any subject of edges that connects all the vertices and has minimum total weight is a
A
Hamiltonian cycle
B
grid
C
hypercube
D
tree
GATE CSE Subjects
Software Engineering
Web Technologies
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
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CBSE
Class 12