1
GATE CSE 1995
Subjective
+2
-0
Prove that in a finite graph, the number of vertices of odd degree is always even.
2
GATE CSE 1995
Subjective
+5
-0
How many minimum spanning tress does the following graph have? Draw them (Weights are assigned to the edges). GATE CSE 1995 Discrete Mathematics - Graph Theory Question 23 English
3
GATE CSE 1995
MCQ (Single Correct Answer)
+1
-0.3
$$\mathop {Lim}\limits_{x \to \infty } {{{x^3} - \cos x} \over {{x^2} + {{\left( {\sin x} \right)}^2}}} = \_\_\_\_\_\_.$$
A
$$\infty $$
B
$$0$$
C
$$2$$
D
Does not exist
4
GATE CSE 1995
MCQ (Single Correct Answer)
+1
-0.3
The probability that a number selected at random between $$100$$ and $$999$$ (both inclusive ) will not contain the digit $$7$$ is
A
$${{16} \over {25}}$$
B
$${\left( {{9 \over {10}}} \right)^3}$$
C
$${{27} \over {75}}$$
D
$${{18} \over {25}}$$
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