1
GATE PI 2008
MCQ (Single Correct Answer)
+1
-0.3
The value of the expansion $$\mathop {Lim}\limits_{x \to 0} \left[ {{{\sin \left( x \right)} \over {{e^x}X}}} \right]\,\,$$ is
A
$$0$$
B
$${1 \over 2}$$
C
$$1$$
D
$${1 \over {1 + e}}$$
2
GATE PI 2008
MCQ (Single Correct Answer)
+1
-0.3
If $$\overrightarrow r $$ is the position vector of any point on a closed surface $$S$$ that encloses the volume $$V$$ then $$\,\,\int {\int\limits_s {\left( {\overrightarrow r \,.\,d\overrightarrow s } \right)\,\,} } $$ is equal to
A
$${1 \over 2}V$$
B
$$V$$
C
$$2V$$
D
$$3V$$
3
GATE PI 2008
MCQ (Single Correct Answer)
+2
-0.6
In a game, two players $$X$$ and $$Y$$ toss a coin alternately. Whoever gets a 'head' first, wins the game and the game is terminated. Assuming that players $$X$$ starts the game the probability of player $$X$$ winning the game is
A
$$1/3$$
B
$$1/4$$
C
$$2/3$$
D
$$3/4$$
4
GATE PI 2008
MCQ (Single Correct Answer)
+1
-0.3
For a random variable $$\,x\left( { - \infty < x < \infty } \right)\,\,$$ following normal distribution, the mean is $$\,\mu = 100\,\,.$$ If the probability is $$\,\,P = \alpha \,\,$$ for $$\,\,x \ge 110.\,\,\,$$ Then the probability of $$x$$ lying $$b/w$$ $$90$$ and $$110$$ i.e., $$\,P\left( {90 \le x \le 110} \right)\,\,$$ and equal to
A
$$\,1 - 2\alpha $$
B
$$\,1 - \alpha $$
C
$$1 - \alpha /2$$
D
$$2\,\alpha $$
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
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CBSE
Class 12