1
JEE Main 2017 (Offline)
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
A box contains 15 green and 10 yellow balls. If 10 balls are randomly drawn, one-by-one, with replacement, then the variance of the number of green balls drawn is :
A
6
B
4
C
$${6 \over {25}}$$
D
$${{12} \over 5}$$
2
JEE Main 2017 (Offline)
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
Let a vertical tower AB have its end A on the level ground. Let C be the mid-point of AB and P be a point on the ground such that AP = 2AB. If $$\angle $$BPC = $$\beta $$, then tan$$\beta $$ is equal to:
A
$${1 \over 4}$$
B
$${2 \over 9}$$
C
$${4 \over 9}$$
D
$${6 \over 7}$$
3
JEE Main 2017 (Offline)
MCQ (Single Correct Answer)
+4
-1
Change Language
If $$5\left( {{{\tan }^2}x - {{\cos }^2}x} \right) = 2\cos 2x + 9$$,

then the value of $$\cos 4x$$ is :
A
$${1 \over 3}$$
B
$${2 \over 9}$$
C
$$ - {7 \over 9}$$
D
$$ - {3 \over 5}$$
4
JEE Main 2017 (Offline)
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
The following statement

$$\left( {p \to q} \right) \to \left[ {\left( { \sim p \to q} \right) \to q} \right]$$ is :
A
equivalent to $${ \sim p \to q}$$
B
equivalent to $${p \to \sim q}$$
C
a fallacy
D
a tautology
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