VMC entrance Exam Sample Papers

As you are asking for VMC entrance Exam Sample Papers , so on your demand I am providing same here :

1. Find the value of
1
2
x 0
a
lim tan
x


.
a)
2

b)
2

 c) 0 d) all of these
2. Evaluate
dx
(x )( x)

     
, where
.
a) 0 b)
2

c)

d)
2
3. Determine the value of , so that the vectors

a i xj k   
and

b 3i 2j 2k 
are perpendicular to each
other.
a)
1
2
b) 2 c)
1
2
 d) None of these
4. If
x a(cos t tsin t)  
and
y a(sin t t cos t)  
, then find
3
t
4
dy
dx 

.
a) 1 b) 1 c) 0 d) None of these
5. If
x 1! 2! 3! ... 99!     
, then find the remainder when x is divided by 15.
a) 1 b) 2 c) 3 d) None of these
6. Find the minimum value of
2 2 cos sec   .
a) 2 b) 1 c) 0 d) None of these
7. If
2x 2 10 11 2 2 2 
 
, then find
x
2 x .
a) 1 b) 4 c) 16 d) None of these
8. If the numerator of a fraction is increased by 150% and the denominator of the fraction is increased by
300%, the resultant fraction becomes 5/18. What is the original fraction?
a)
4
9
b)
5
36
c)
5
9
d) None of these
9. The points
A(0, 2), B(3,1), C(0,4)  and
D( 3,1)  are the vertices of a
a) rectangle b) square c) rhombus d) None of these

VMC entrance Exam Sample Papers

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