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plz help me,
i need mock test papers for MCA
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Dear friend,
For MCA entrance practice 12 level mathematices very well,aptitude test and also verbal questions...

MATHMATICS ( Mock Test 2 )
Author : Arun Dogra
For TCYonline.com

Q-1 The function f(x) = x / 1 + x2 is
(a) not one-one (b) one-one
(c) not continuous at x = 0 (d) none of these
Q-2 ? x0 dx = ?
(a) 2 x (b) x
(c) 3 (d) 55
Q-3 If dy/dx = e – 2y & y = 0 , when x = 5 , then the value of x when y = 3 is
(a) e5 (b) e6
(c) e6 + 9 / 2 (d) none of these
Q-4 y = 0 is
(a) xy – plane (b) yz – plane
(c) xz – plane (d) none of these
Q-5 In three dimensional space , the locus of the equation x2 + y2 = 0 is
(a) { ( 0 , 0 , 0 ) } (b) XY – plane
(c) Z – axis (d) none of these
Q-6 The shortest distance between two intersecting lines is always
(a) 0 (b) 1
(c) 11 (d) 4
Q-7 The median of the data 1 , 3 , 4 , 2 , 6 , 7 , 8 , 4 , 5 , 10 , 11 is
(a) 4 (b) 5
(c) 6 (d) 7
Q-8 G.M of the observation 2 , 4 , 8 , 16 , 32 is
(a) 21/3 (b) 23
(c) 12.4 (d) none of these
Q-9 The line 3x – 4y = 0 is
(a) is a tangent to the circle x2 + y2 = 25 (b) is a normal to the circle x2 + y2 = 25
(c) does not meet the circle x2 + y2 = 25 (d) does not pass through the origin
Q-10 cos 900 = ?
(a) 1 (b) 0
(c) 3 (d) 4
b
Q-11 If n = 2 , then which of the rule is applicable to solve ? f (x) dx
a
(a) Simpson’s 3/8 rule (b) weddle’s rule
(c) Simpson’s 1/3 rule (d) none of these
Q-12 If x = cos2? + sec2? then
(a) x ? 1 (b) x ? 2
(c) x ? 1 (d) none of these
Q-13 3 ( sin ? – cos )4 + 6 ( sin ? + cos ? )2 + 4 ( sin6? + cos6?) is equal to
(a) 0 (b) 13
(c) 7 (d) none of these
Q-14 The value of tan ?/8 tan 3?/8 is equal to
(a) 1 (b) – 1
(c) 2 (d) none of these
Q-15 What is the polar form of 0
(a) cos 2 + i sin 2 (b) cos 2 + i sin 3
(c) cos 3 + i sin 2 (d) cos 0 + i sin 0
Q-16 21/4 . 41/8 . 81/16 --------------- to ? is equal to
(a) 1 (b) 2
(c) 3/2 (d) 5/2

Q-17 If x is a non-zero rational number & xy is irrational , then y must be
(a) a rational number (b) an irrational number
(c) non-zero (d) an integer
Q-18 Let A be an invertible 3 ? 3 matrix , then det ( A adj A ) is equal to
(a) ( det A ) – 1 (b) ( det A ) 3
(c) ( det A )2 (d) det A
Q-19 ? x3 ?x? dx is equal to
(a) x 5 / 5 (b) x 5 / 6
(c) x4 ?x? / 4 (d) none of these
Q-20 nth term of the sequence ½ , ¾ , 7/8 , -------------- is
(a) 2n – 1 (b) 2n – 1/ 2n
(c) 1 – 1/ 2n (d) none of these
Q-21 Area enclosed between x – axis , the graph of y = x3 & the ordinates x = – 1 , x = 1 is
(a) 0 (b) ½
(c) ¼ (d) none of these
Q-22 The expansion of ( 8 – 3x )3/2 in terms of power of x is valid only if
(a) x < 3/8 (b) b < 8/3
(c) x > 8/3 (d) ?x? < 8/3
Q-23 In 4 + i5 , which one of them is real part
(a) 4 (b) 5
(c) both a & b (d) none of these
Q-24 In 4 ( cos 300 + i sin 300 ) , what is the argument
(a) 150 (b) 200
(c) 550 (d) 300
Q-25 Octal representation of the number 0.1875 is
(a) ( 0.15)8 (b) ( 0.41)8
(c) ( 0.14 )8 (d) None of these
Q-26 Equation of the sphere which passes through the points ( a , 0 , 0 ) , ( 0 , b , 0 ) , ( 0 , 0 , c ) & ( 0 , 0 , 0 ) is
(a) x2 +y2 + z2 – ax – by – cz = 0 (b) x2 +y2 + z2 + ax – by – cz = 0
(c) x2 +y2 + z2 – ax + by – cz = 0 (d) x2 +y2 + z2 – ax – by + cz = 0
Q-27 If In is the identity matrix of order n , then ( In ) – 1
(a) does not exist (b) = In
(c) = O (d) = nIn
Q-28 The system of equations x + y + z = 6 , x + 2y + 3z = 14 , x + 3y + 5z = 20 has
(a) a unique solution (b) only finitely many solution
(c) infinitely many solution (d) no solution
Q-29 If det A = 3 , & A is of order 2 ? 2 , then det 4A is equal to
(a) 3 (b) 12
(c) 48 (d) 36
Q-30 tan 750 + cot 750 is equal to
(a) 2?3 (b) 2 + ?3
(c) 2 – ?3 (d) 4

ANSWER
1 2 3 4 5
a b c c c
16 17 18 19 20
b b b c c
6 7 8 9 10
a b b b b
21 22 23 24 25
b d a d c
11 12 13 14 15
c c b a d
26 27 28 29 30
a b d c d