1
JEE Main 2016 (Offline)
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
The Boolean expression

$$\left( {p \wedge \sim q} \right) \vee q \vee \left( { \sim p \wedge q} \right)$$ is equivalent to :
A
$${ \sim p \wedge q}$$
B
$${p \wedge q}$$
C
$$p \vee q$$
D
$$p \vee \sim q$$
2
JEE Main 2016 (Offline)
MCQ (Single Correct Answer)
+4
-1
Change Language
If the standard deviation of the numbers 2, 3, a and 11 is 3.5, then which of the following is true?
A
3$$a$$2 - 26$$a$$ + 55 = 0
B
3$$a$$2 - 32$$a$$ + 84 = 0
C
3$$a$$2 - 34$$a$$ + 91 = 0
D
3$$a$$2 - 23$$a$$ + 44 = 0
3
JEE Main 2016 (Offline)
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
$$\mathop {\lim }\limits_{n \to \infty } {\left( {{{\left( {n + 1} \right)\left( {n + 2} \right)...3n} \over {{n^{2n}}}}} \right)^{{1 \over n}}}$$ is equal to:
A
$${9 \over {{e^2}}}$$
B
$$3\,\log \,3 - 2$$
C
$${{18} \over {{e^4}}}$$
D
$${{27} \over {{e^2}}}$$
4
JEE Main 2016 (Offline)
MCQ (Single Correct Answer)
+4
-1
Change Language
For $$x \in \,R,\,\,f\left( x \right) = \left| {\log 2 - \sin x} \right|\,\,$$

and $$\,\,g\left( x \right) = f\left( {f\left( x \right)} \right),\,\,$$ then :
A
$$g$$ is not differentiable at $$x=0$$
B
$$g'\left( 0 \right) = \cos \left( {\log 2} \right)$$
C
$$g'\left( 0 \right) = - \cos \left( {\log 2} \right)$$
D
$$g$$ is differentiable at $$x=0$$ and $$g'\left( 0 \right) = - \sin \left( {\log 2} \right)$$
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