1
JEE Main 2022 (Online) 27th June Morning Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language

Let X be a random variable having binomial distribution B(7, p). If P(X = 3) = 5P(x = 4), then the sum of the mean and the variance of X is :

A
$${105 \over {16}}$$
B
$${7\over {16}}$$
C
$${77\over {36}}$$
D
$${49\over {16}}$$
2
JEE Main 2022 (Online) 27th June Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The value of $$\cos \left( {{{2\pi } \over 7}} \right) + \cos \left( {{{4\pi } \over 7}} \right) + \cos \left( {{{6\pi } \over 7}} \right)$$ is equal to :

A
$$-$$1
B
$$-$$$${1 \over 2}$$
C
$$-$$$${1 \over 3}$$
D
$$-$$$${1 \over 4}$$
3
JEE Main 2022 (Online) 27th June Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

$${\sin ^1}\left( {\sin {{2\pi } \over 3}} \right) + {\cos ^{ - 1}}\left( {\cos {{7\pi } \over 6}} \right) + {\tan ^{ - 1}}\left( {\tan {{3\pi } \over 4}} \right)$$ is equal to :

A
$${{11\pi } \over {12}}$$
B
$${{17\pi } \over {12}}$$
C
$${{31\pi } \over {12}}$$
D
$$-$$$${{3\pi } \over {4}}$$
4
JEE Main 2022 (Online) 27th June Morning Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language

The boolean expression $$( \sim (p \wedge q)) \vee q$$ is equivalent to :

A
$$q \to (p \wedge q)$$
B
$$p \to q$$
C
$$p \to (p \to q)$$
D
$$p \to (p \vee q)$$
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