1
JEE Main 2016 (Online) 10th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
The angle of elevation of the top of a vertical tower from a point A, due east of it is 45o. The angle of elevation of the top of the same tower from a point B, due south of A is 30o. If the distance between A and B is $$54\sqrt 2 \,m,$$ then the height of the tower (in metres), is :
A
$$36\sqrt 3 $$
B
54
C
$$54\sqrt 3 $$
D
108
2
JEE Main 2016 (Online) 10th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
The contrapositive of the following statement,

“If the side of a square doubles, then its area increases four times”, is :
A
If the side of a square is not doubled, then its area does not increase four times.
B
If the area of a square increases four times, then its side is doubled.
C
If the area of a square increases four times, then its side is not doubled.
D
If the area of a square does not increase four times, then its side is not doubled.
3
JEE Main 2016 (Online) 10th April Morning Slot
MCQ (More than One Correct Answer)
+4
-1
Change Language
A, B, C and D are four different physical quantities having different dimensions. None of them is dimensionless. But we know that the equation AD = C ln (BD) holds true. Then which of the combination is not a meaningful quantity ?
A
A2 $$-$$ B2C2
B
$${{\left( {A - C} \right)} \over D}$$
C
$${A \over B} - C$$
D
$${C \over {BD}} - {{A{D^2}} \over C}$$
4
JEE Main 2016 (Online) 10th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Concrete mixture is made by mixing cement, stone and sand in a rotating cylindrical drum. If the drum rotates too fast, the ingredients remain stuck to the wall of the drum and proper mixing of ingredients does not take place. The maximum rotational speed of the drum in revolutions per minute(rpm) to ensure proper mixing is close to :

(Take the radius of the drum to be 1.25 m and its axle to be horizontal) :
A
0.4
B
1.3
C
8.0
D
27.0
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