Download quintessence

INFOMATHS
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1.
2.
3.
13 13  23 13  23  33


 .....16 terms is: BHU-2012
1 1 2
1 2  5
(a) 446 (b) 644 (c) 464 (d) 460
13. In the binomial expansion of (a – b)n, n  5, the sum
(a) 3.142857
(b) 3.142867
a
(c) 3.14957
(d) 3.14967
of 5th and 6th terms is zero. Then
equals:
b
Which of the following decimal number is in the
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p
form ?
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n5
n4
5
7
q
(a)
(b)
(c)
(d)
6
5
n4
n5
(a) 60/7 (b) 68/9 (c) 63/4 (d) 62/5
14. If nCr-1 = 36, nCr = 84 and nCr+1 = 126, then the value
log x log y log z
of r is equal to :
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

, then x a y b z c equals :
If
bc c a a b
(a) 1
(b) 2
(c) 3
(d) 4
Which of the following is the decimal representation
22
of
?
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7
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4.
5.
6.
7.
8.
12
(a) 0
(b) 1
(c) xyz
(d) None of these
15. The expression
is equal to :
2
3 5  2 2
The factorization of the expression 36x – 12x + 1 –
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25y2 is
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(a) (5x – 6y + 1) (5x + 6y + 1)
(a) 1  5  2  10  (b) 1  5  2  10 
(b) (6x – 5y + 1) (6x + 5y + 1)
(c) 1  5  2  10  (d) 1  5  2  10 
(c) (5x – 6y – 1) (5x + 6y – 1)
(d) (6x – 5y + 1) (5x + 6y – 1)
16. If  is cube root of unity, then the value of
The solution of the following equation
1  2
x 1 4x 1 1


is :
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determinant   2 1 is equal to : BHU-2012
3
4
12
2 1 
(a) – 1
(b) 1
(c) – 2
(d) 2
If the sum of three consecutive odd natural numbers
(a) – 1
(b) 1
(c) 0
(d) 2
is 153, then the numbers are:
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 2 3 
1 1 1 
(a) 47, 49, 51
(b) 49, 51, 53,
 1 5 ,
17. If the matrices A  
and
B




(c) 31, 53, 55
(d) 53, 55, 57
3
3
3


 4 1 
8
8
 1 i   1 i 
The value of complex number 
then AB is equal to :
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 
 is :
 2  2
3 1
3 1


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(a) 
(b) 


 9 3
9 3
1
(a) 2
(b) - 2
(c) 2
(d)
 3 1
 3 1
2
(c) 
(d) 


16
25
81
 9 3
 9 3
The value of 7 log  5log  3log is equal to:
18. State which of the following statement is correct?
15
24
80
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(a) log 2 (b) zero (c) unity (d) 0.2
9. The nth term of the series
1
7
1 20
2  1 1 
 ........ is :
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2 13 9 23
20
2
(a) 2
(b)
5n  3
5
20
(c) 20 (5n + 3)
(d)
5n  3
10. If the sum of first p terms of an A.P. is q and the sum
of the first q terms is p, then the sum of the first (p +
q) terms is :
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(a) p + q + 1
(b) –(p + q + 1)
(c) – (p + q)
(d) p + q
11. If x = 1 + a + a2 + a3 + …..  (a < 1), y = 1 + b + b2
+ b3 + …..  (b < 1), then the value of 1 + ab + a2b2
+ a3b3 + …..  is equal to :
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xy
xy
(a)
(b)
x  y 1
x  y 1
(a) Every set has a proper subset
(b) Every subset of a finite set is finite
(c) Every subset of an infinite set is infinite
(d) The set {x : x + 8 = 8} is the null set
Which of the following statement is true? BHU-2012
(a) For any two sets A and B either A  B or B  A
(b) {a}  {a, b, c}
(c) {a, b, a, b, a, b, …} is an infinite set
(d) {a, b, c} = {c, a, b}
If U = {natural numbers}, A = {multiples of 3} and
B = {multiples of 5}, the A – B equals: BHU-2012
(a) A  B (b) A  B (c) A  B (d) A  B
Let P be a probability function on S = (l1, l2, l3, l4)
1
1
1
such that P  l2   , P  l3   , P  l4   . Then P(l1)
3
6
9
is
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(a) 7/18 (b) 1/3
(c) 1/6
(d) 1/5
Let H be a sub-group of a group G and a, b  H. Let
a ~ b iff a  b mod H, then which of the following is
true?
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(a) ‘~’ is a reflexive relation
(b) ‘~’ is a symmetric relation
(c) ‘~’ is a transitive relation
19.
20.
21.
22.
x y
x y
(d)
x  y 1
x  y 1
12. The sum of 16 terms of the following series
(c)
1
INFOMATHS/MCA/MATHS/
INFOMATHS
(d) All of these
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34. The function f(x) defined by
 1

The straight line passes through the point P 2, 3
f  x   x 1  sin  log x 2   , x  0
, then:
 3

and makes an angle of 60 with the x-axis. The
f
x

0,
x

0


length of the intercept on it between the point P and
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the line x  3 y  12 is :
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(a) f(x) is continuous at x = 0
(a) 1.5
(b) 2.5
(c) 3.5
(d) 4.5
(b) f(x) has discontinuity of first kind at x = 0
If m is the midpoint of the side BC of the triangle
(c) f(x) has discontinuity of second kind at x = 0
ABC, then:
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(d) f(x) has removable discontinuity at x = 0
(a) AB2 + AC2 = AM2 + BM2
1  x2
 2x 
(b) AB2 + AC2 = 2AM2 + 2BM2
35. The derivative of sin 1
w.r.t. sin 1 
is:
2 
2
2
2
2
1 x
 1 x 
(c) AM + MB = 2AC
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(d) 2AB2 + 2AC2 = AM2 + MB2
(a) – 1
(b) 0
(c) 1/x
(d) x
The equation of the straight line passing through the
2
point of intersection of 4x + 3y – 8 = 0 and x + y – 1 36. The equation of tangent at (2, 2) of the curve xy = 4
(4 – x) is :
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= 0, and the point (-2, 5) is :
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(a)
x
–
y
=
4
(b)
x
+
y
=
4
(a) 9x + 7y – 17 = 0
(b) 4x + 5y + 6 = 0
(c) x – y = 2
(d) x + y = 2
(c) 3x – 2y + 19 = 0
(d) 3x – 4y – 7 = 0
2
2
2
The angle between the two straight line represented 37. The condition that the curve ax + by = 1 and a'x +
2
2
2
b'y = 1 should intersect orthogonally is that :
by the equation 6x + 5xy – 4y + 7x + 13y – 3 = 0
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is:
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(a) a + b = a' + b'
(b) a – b = a' – b'
3
5
1 1 1 1
1 1 1 1
(a) tan 1
(b) tan 1
(c)   
(d)   
5
3
a b a' b'
a b a' b'
2
11
38. If x and y be two real variable, such that x > 0 and xy
(c) tan 1
(d) tan 1
11
2
= 1, then the minimum value of x + y is : BHU-2012
The equation of circle passing through (-1, 2) and
(a) 1
(b) – 1
(c) 2
(d) – 2
concentric with x2 + y2 – 2x – 4y – 4 = 0 is :
x
xe
BHU-2012 39. The value of
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dx is :
2

2
2
(a) x + y – 2x – 4y + 1 = 0
 x  1
(b) x2 + y2 – 2x – 4y + 2 = 0
1 x
e
(a)
(b) (x – 1)2ex
(c) x2 + y2 – 2x – 4y + 4 = 0
x

1
2
2
(d) x + y – 2x – 4y + 8 = 0
(c) (x + 1)ex
(d) ex
The radius of the circle on which the four points of
intersection of the lines (2x – y + 1) (x – 2y + 3) = 0 40. The value of x  sin x dx is :
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 1  cos x
with the axes lie, is :
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5
5
5
x
x
(a) 5
(b)
(c)
(d)
(a) x cot
(b) x tan
2
2 2
4 2
2
2
The focal distance of a point on the parabola y2 = 8x
x
x
(c) x sin
(d) x cos
is 4. Its ordinates are :
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2
2
(a)  1
(b)  2
(c)  3
(d)  4
 /2
The straight line x cos  + y sin  = p touches the 41. The value of  log  tan x dx is equal to :
0
x2 y 2
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ellipse 2  2  1 if :
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a
b
(a) 0
(b) x/4
(c) x/2
(d) 
(a) p2 = a2 cos2  - b2 sin2
42. If h is height and r1, r2 are the radii of the end of the
(b) p2 = a2 cos2  + b2 sin2
frustum of a cone, then the volume of the frustum is
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(c) p2 = a2 sin2  - b2 cos2
2
2
2
2
2

h

h
(d) p = a sin  + b cos 
(a)
 r12  3r1r2  r22  (b) 3  r12  3r1r2  r22 
If the line lx + my = n touches the hyperbola
3
x2 y 2
h 2
h 2
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 2  1 if :
r1  r1r2  r22 
(c)
(d)

 r1  r1r2  r22 
2
a b
3
3
(a) a2l2 – b2m2 = n2
(b) al – bm = n
43. If r is a radius and k is thickness of a frustum of a
(c) a2l2 + b2m2 = n2
(d) al + bm = n
sphere, then its curved surface of frustum is :
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l
For the conic  1  e cos  , the sum of reciprocals
1
r
(a)  rk (b)  rk (c) 2 rk (d) 4 rk
2
of the segments of any focal chord is equal to :
BHU-2012 44. The differential equation y = px + f(p) is called of :
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1
2
(a) l
(b) 2l
(c)
(d)
(a) Clairaut’s form
(b) Newtonian form
l
l
(c) Bernoulli’s form
(d) None of these
1/ x
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lim 1  x  is equal to :
45.
Which
of
the
following
differential
equation is
n 
linear?
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(a) 0
(b) 1
(c) e
(d) 1/e


2
INFOMATHS/MCA/MATHS/
INFOMATHS
(a) 1  y 
dy
 cos x  0
dx
(b) x  y
2
dy
0
dx
d2 y
dy
 x2
 1  x  y  e x
2
dx
dx
d2y
(d) 1  y  2  xy  e x  x
dx
46. Which of the following differential equations can be
reduced to homogenous form?
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x
2
x
(a) y  e  x y  dx  e dy  0
(c)















 
(a) sin
(b) cos

1

(a) 2  a d

(c) sin
(d) cos
 
1

a.b







(a) a
(b) b
(a) -1/8
(b) -1/4
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



(c) 1/8
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1
1
1
1
(a) x 
(b) x  (c) x  (d) x 
8
8
2
2
x
log e
60. The maximum value of
is :
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x
(a) 1
(b) 2/e
(c) e
(d) 1/e
61. If sinx + sin2x = 1, then the value of cos12 x +
3cos10x + 3cos8x + cos6x is
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(a) – 1
(b) 1
(c) – 2
(d) 2
dy
 x 1
1  x  1 
62. If y  sec1 
  sin 
 , then dx is :
 x 1 
 x 1
a.b
 
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x 1
x 1
(a) 1
(b) 0
(c)
(d)
x 1
x 1
63. If the angle of elevation of a cloud at a height h
above the level of water in a lake is  and the angle
of depression of its image in the lake is , then the
height of the cloud above the surface of the lake is
not correct:
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h  tan   tan  
h sin    
(a)
(b)
tan   tan 
sin     

2

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 
   
(b)  a b    a . b   a 2 b 2

 

2
 
(d) 1/4
A
B
C
59. If A + B + C =  and x  sin sin sin , then :
2
2
2

   
(a)  a b    a . b   a 2 b

 

2

c a




 
(d) 2  b c d  a



  
2

(b) 2  b d


(c) a  b (d) a  b
5
57. If cosec A  cot A  , then tan A is :
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2
(a) 4/9
(b) 3/5
(c) 15/16 (d) 20/21

4
5
cos
58. The value(s) of cos cos
is (are):
7
7
7
51. If a , b , c be three non-coplanar vectors, then the
cross product is :
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(a) distributive over scalar product of vectors
(b) non distributive over scalar product of vectors
(c) distributive over addition of vectors
(d) not distributive over addition of vectors
52. Which of the following is correct?
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2

c b

 
and r  b  a b is

a b
a b


 
a.b
(d) 5
56. The point of intersection of the lines r  a  b a
a.b
 
1
(c) 6


 
(c) 2  a c c  b


 
ab
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 
a.b



50. The angle between two non-zero vectors a and b is
given by :
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1

     
B, C, then  a b  b c  c  a  :
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

(a) perpendicular to the plane ABC
(b) parallel to the plane ABC
(c) lies in the plane ABC
(d) is null vector
55. What is the value of
                 
 a b    c d    a c    d  b    a d    b c 

 
 
 
 
 

(d) 2 a  3 b  4 c


54. If a , b , c are vectors from the origin to the point A,
(b) 2 a  3 b  4 c
(c) 2 a  3 b  4 c

  
49. The point of intersection of the line r  a  b  t c

 
   
  
and the plane r  a  b  t1  a  b  c   t2  a  b  c 




is :
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(a) 2 a  3 b  4 c

3 i  j  2 k is :
(a) 10
(b) 7
dy
 x 2 y  y 4 cos x  0
dx
(c) (4x + 6y + 5)dx = (2x + 3y + 4)dy
(d) (1 + y2) dx + (x – siny)dy = 0
47. The system of vectors are:
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(a) Never closed under addition and multiplication
(b) Closed under addition and in a restricted sense in
multiplication
(c) Closed under addition and multiplication
(d) Closed under addition only
48. The area of the triangle having vertices (1, 2, 3) and
(-1, 2, 3) is :
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1
1
(a)
(b)
107
155
2
2
1
1
(c)
(d)
165
187
2
2


represented by 2 i  3 j  4 k , i  3 j  k and
(b) x3

 
2
   
(d)  a b    a . b   a 2 b 2  0

 

53. The volume of the parallelepiped whose edges are
 
   
(c)  a b    a . b   a 2 b 2

 

3
INFOMATHS/MCA/MATHS/
INFOMATHS
(c)
h  cot   cot  
(d)
h cos    
N

N

 2 C 
 2 C 
(c) M d  l  
  i (d) M d  l  
i
 f 
 f 




74. For a frequency distribution standard deviation is
computed by using the formula:
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sin     
64. If the angles of elevation of the top and bottom of a
flag staff fixed at the top of a tower at a point distant
a from the foot of a tower are  and , then height of
the flag staff is :
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(a) a (sin  - sin )
(b) a (cos  - cos )
(c) a (cot  - cot )
(d) a (tan  - tan )
65. The solution of the equation
2
 2x 
 2x  
1  1  x 
3sin 1 

4cos
 2 tan 1 


2 
2 
2 
 1 x 
 1 x  3
 1 x 
is :
BHU-2012
1
(a) x  3
(b) x 
3
(c) x = 1
(d) x = 0
1 
66. If sin 1 x  cos1    , then x is :
BHU-2012
2 2
cot   cot 
(a) 0
(b)
2
(c)
1
(d)
5
3
 f  x  x
(a)  
f
(c)  
 f  x  x
f
BHU-2012
(a) np
(b) 1 – np (c) npq (d)  n  pq
76. In case of Poisson distribution :
BHU-2012
(a) mean > variance
(b) mean < variance
(c) mean = variance
(d) mean and variance are not related
77. For a normal curve the greatest ordinate is
3
2
BHU-2012
(a)
1
(a) /3
(b) /4
(c) /2
(d) /6
68. The probability that A, B, C can solve problem is
1 1 1
, , respectively they attempt independently,
3 3 3
then the probability that the problem will solved is :
78.
79.
BHU-2012
(a) 1/9
(b) 2/9
(c) 4/9
(d) 2/3
69. In a single throw with two dice, the chances of
throwing eight is :
BHU-2012
(a) 7/36 (b) 1/18 (c) 1/9
(d) 5/36
70. A single letter is selected at random from the word
“probability”. The probability that it is a vowel, is :
80.
BHU-2012
(a) 3/11 (b) 4/11 (c) 2/11 (d) 0
71. In a box containing 100 bulbs, 10 are defective.
What is the probability that out of a sample of 5
bulbs, none is defective?
BHU-2012
81.
5
9
1
 9 
(b)   (c)   (d)
10
2
 10 
72. The average of n numbers x1, x2, x3, …., xn is M. If
x1 is replaced by x', then the new average is :
(a) 10-5
BHU-2012
M  x1  x '
(a) M – x1 + x'
(b)
n
n  1 M  x1  x '
nM  x1  x '

(c)
(d)
n
n
73. If the sizes in the frequency distribution are given in
an ascending order of magnitude, then the median is
calculated by :
BHU-2012
N

N

 2 C 
 2 C 
(a) M d  l  
  i (b) M d  l  
i
 f 
 f 




82.
83.
4
(b)
1
2
(d) 2
In the method of least square of curve fitting, if n are
constants, then the normal equations are : BHU-2012
(a) n2
(b) n
(c) n – 1
(d) n + 1
The value of the correlation coefficient between two
variables lies between:
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(a) 0 and 
(b) -  and 
(c) 0 and 1
(d) -1 and 1
Fit a straight line regression of Y on X from the
following table:
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X
:
0
1
2
3
4
5
6
Y
:
2
1
3
2
4
3
5
(a) Y = 0.35 + 1.578 X
(b) Y = 1.578 + 0.35 X
(c) Y = 1.357 + 0.5 X
(d) Y = 0.5 + 1.357 X
In the Liner Programming Problem:
Maximize z = 4x + y
Subject to :
3x + 5y  15
5x + y  15
-x+y2
4x + 5y  20
x, y  0
has :
BHU-2012
(a) no solution
(b) one solution
(c) infinite solution
(d) finite solution
The resultant of P and Q is R. If Q is doubled, R is
also doubled. If Q is reversed, R is again doubled.
Then P2 : Q2 : R2 is given by :
BHU-2012
(a) 1:1:1 (b) 2:2:3 (c) 2:3:2 (d) 3:2: 2
If three forces acting at a point are represented in
magnitude and direction by three sides of a triangle,
taken in order, they are in equilibrium. This
condition is:
BHU-2012
(a) only necessary and not sufficient
(b) only sufficient but not necessary
(c) both necessary as well as sufficient
(d) neither necessary nor sufficient
 2
(c)  2
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5
(d)  
2
2
75. The variance of Binomial distribution is :
2
6 1
 cos 1
is equal to :
3
2 3
67. The value of cos 1
 f  x  x
f
(b)  
 f  x  x
f
INFOMATHS/MCA/MATHS/
INFOMATHS
84. Two forces given in magnitude at each through a
fixed point, and are inclined at a constant angle . If
 varies, then the locus of A is :
BHU-2012
(a) a straight line
(b) a circle
(c) a parabola
(d) an ellipse
85. ABCD ...... is a polygon of n sides, and forces act at a
point parallel and proportional to AB, 2BC, 3CD, etc.
If O be the centroid of all the points B, C, D, .....
including A, then their resultant is parallel and
proportional to :
BHU-2012
(a) (n - 2)OA (b) (n + l)OA (c) nOA (d) (n -l)OA
86. If six forces, of relative magnitudes 1, 2, 3, 4, 5 and
6 act along the sides of a regular hexagon, taken in
order, then the single equivalent force is of relative
magnitude:
BHU-2012
(a) 1
(b) 3
(c) 5
(d) 6
87. The moments of a system of coplanar forces (not in
equilibrium) about three collinear points A, B, C in
the plane are G1,G2,G3. Then:
BHU-2012
(a) G1.AB+G2 .BC+G3 .CA=O
(b) G1.BA+G2.AB+G3.AB=0
(c) G1 .CA+G2 .AB+G3 BC=O
(d) G1.G2+CA.AB+G3 .BC=O
88. Let P, Q, R be the sum of the components of various
forces acting at a point, in three mutually perpendicular directions. Then the forces are in
equilibrium if :
BHU-2012
(a) P=Q=R
(b) P+Q=Q+R=R+P=O
(c) P=Q=R=O (d) P+Q+R=O
89. A uniform rod of weight W rests with its ends in
contact with two smooth planes, inclined at angles a
and  respectively to the horizon, and intersecting in
a horizontal line. The inclination  of the rod to the
vertical is given by :
BHU-2012
(a) 2tan=tan-tan
(b) 2 tan  = tan -tan 
(c) 2 cot  = cot -cot  (d) 2cot =cot-cot
90. Weights W, , W, are attached to points B, C, D
respectively of a light string AE where B, C, D
divide the string into 4 equal lengths. If the string
hangs in the form of 4 consecutive sides of a regular
octagon with the ends A and E attached to points on
the same level, then:
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92.
93.
94.
95.
BHU-2012
u
(a)
sin 
g
u
(b) cos 
g
u
u
(3) sec 
cos ec
g
g
99. A shot is fixed at an angle  to the horizontal up an
inclined plane of inclination . It will strike the plane
horizontally if :
BHU-2012
(a) tan  = tan 
(b) 2 tan  = tan 
(c) tan  = 2tan 
(d) 4 tan  = tan 
100. If ,  be two directions of projection to hit a given
point (h, k), then:
BHU-2012
h
h
(a) cos      
(b) sin      
k
k
h
h
(c) cot      
(d) tan      
k
k
(c)
Directions: (Question Nos. 101 - 105) : Vijay starts from
his home with his wife at 9.30 a.m. on his scooter. He
goes 1 km east, drop his wife at her office, turns left, goes
another km then turns right, and after a km reaches the
(a) W=2
(b) W  2  1 
bank where he spends five minutes. Then he turn towards
north and reaches hospital which is one km from the bank.
(c) W  3  1 
(d) W=4
After taking to a doctor friend for five minutes he
turns
towards west and reaches his office, which is 2 km
The displacement has:
BHU-2012
from
the
hospital at 9.58 a.m.
(a) only magnitude
Now
answer
the following questions:
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(b) only direction
101.
How
far
is
Vijay's
office
from
his
home
as
the crow
(c) both magnitude and direction
flies?
(d) constant negative quantity
(a) 3 km (b) 4km (c) 2 km (d) 5 km
If a particle moves along x = a(2t + sin 2t), y = a (1 102. How far is the hospital from his wife's office?
cos 2t), then acceleration is :
BHU-2012
1
(a) constant (b) variable (c) unknown (d) known
(a) 3 km (b) 4 km (c) 4 km
(d) 1 km
If a particle moves on a cycloid, then the motion is ;
2
BHU-2012 103. How much time would Vijay had taken in reaching
(a) linear
(b) simple harmonic
his office by the same route if he had not stopped at
(c) simple
(d) parabolic
the bank and hospital?
If a particle moves along a plane curve, then its
(a) 20 minutes
(b) 23 minutes
velocity along the normal at every point is :
(c) 18 minutes
(d) 13 minutes
BHU-2012
104. What is the average speed?
(a) zero (b) unity (c) finite (d) infinite
(a) 18 km per hour
(b) 25 km per hour
A mass of 10 kg falls from rest, and is then brought
(c) 30 km per hour
(d) 20 km per hour
to rest by penetrating 1 m into some sand; the
105. At what time did Vijay reach the bank?

91.
average thrust of the send on it is (taking g = 10 m/
s2) :
(a) 800 N (b) 900 N (c) 1000 N (d) 1100 N
96. The singular solution of the differential equation
dy 

BHU-2012
y  xp  a 1  p 2  p   is a:
dx 

(a) parabola (b) hyperbola (c) circle (d) straight line
97. The simple harmonic motion is the motion of a
particle which moves in a straight line so that the
acceleration is always directed towards a fixed point
on the line and varies as the:
BHU-2012
(a) distance from the fixed point
(b) square of the distance from the fixed point
(c) reciprocal of the distance from the fixed point
(d) reciprocal of the square of the distance from the
fixed point
98. If at any instant the velocity of projectile be u and its
direction of motion  to the horizon, then it will be
moving at right angles to this direction after time:.



5
INFOMATHS/MCA/MATHS/
INFOMATHS
(a) 9.42 a.m.
(b) 9.39 a.m.
(c) 9.45 a.m.
(d) 9.36 a.m.
106. The triangle, square and circle shown below
respectively represent the urban, hard working and
educated people. Which one of the areas marked IVII is represented by the urban educated people who
are not hard working?
BHU-2012
118. Out of five friends A is shorter than B but taller than
E. C is tallest and D is little shorter than A. Which
one is the shortest?
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(a) A
(b) E
(c) C
(d) D
119. A is brother of B and C; D is C's mother. D is B's
sister & E is B's sister. How is C related to E?
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(a) Niece (b) Cousin (c) Aunt (d) Mother
120. A's mother is sister of B and has a daughter C. How
is A related to B?
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(a) Niece (b) Uncle (c) Daughter (d) Father
121. A, B, C, D are standing at the comers of a square
field. They walk along the sides of the square in the
clockwise direction. They stop after covering four
sides which one of the following statement is true?
(a) II
(b) I
(c) IV
(d) III
Directions : (Question Nos. 107 - 110) : In the figure
given below, there are three intersecting circles each
representing certain section of people. Different regions
are marked a-g. Read the statements in each of the
following questions and choose the letter of the region
which correctly represents the statement:
BHU-2012
BHU-2012
(a) C is North - East of B (b) D is East - West of A
(c) A is West of B (d) B is East - South of D
122. Many people send Christmas cards to their friends
because:
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(a) They are pretty
(b) It is a cheaper to send them, through post
(c) It is the custom to send good wises to friends at
Christmas time in that way
(d) It provides the work for postman
123. Glass is used for window's because:
BHU-2012
(a) Glass is cheap
(b) You can see through glass
(c) A broken window is easily replaced
(d) Glass is easily cut to the right size
107. Chinese who are painters but not musicians:
124.
Motorists must have driving mirrors in their cars so
(a) b
(b) c
(c) d
(d) g
that:
BHU-2012
108. Painters who are neither Chinese nor musicians:
(a) Their lady passengers can use them
(a) b
(b) c
(c) f
(d) g
(b) They can see the traffic behind them
109. Chinese who are musicians but not painters:
(c) Other motorists can see them
(a) d
(b) c
(c) b
(d) a
(d) Their head lamps will not dazzle oncoming
110. Chinese who are painters as well as musicians:
traffic
(a) a
(b) b
(c) c
(d) d
125.
People should drink more milk because: BHU-2012
Directions: (Question Nos. 111 -115): A & B are good at
(a) It would help the farmers
hockey and Volley ball. C & A are good at Hockey and
(b) It is sold in many schools
Baseball. D and B are good at Cricket and Volley ball.
(c) It does not keep fit for a long time
D & E are good as Football and Baseball. Study the above
(d) It is a good food
given information and answer the following questions :
Directions:
(Question Nos. 126 - 130) : The questions
BHU-2012
(126 to 130) are based on the following diagram in which
111. Who of the following is good at all the four games?
circle stands for the educated, the square for hard working,
(a) E
(b) D
(c) C
(d) B
the triangle for urban and the rectangle for honest, the
112. Who is good at Cricket, Baseball and Volley ball?
diagram are numbered from 1 to 12. Study the diagram
(a) E
(b) D
(c) C
(d) B
and answer each question:
BHU-2012
113. Who is good at Baseball, Volley ball and Hockey?
(a) E
(b) D
(c) C
(d) B
114. Who is good at Cricket, Hockey and Volley ball?
(a) E
(b) D
(c) C
(d) B
115. Who is good of the largest number of games?
(a) E
(b) D
(c) C
(d) B
116. A man drove his car straight towards east for 5 km.
Then he turn right and drove for 3 km and then he
126. Non-urban people who are honest and hard working
turned to his south and drove for 3 km. How far was
but not educated are indicated by :
he from the starting point?
BHU-2012
(a) 11
(b) 10
(c) 9
(d) 3
(a) 6km (b) 5km (c) 7km (d) 8 km
127. Non-urban educated hard working and honest people
117. In a row at a bus stop A is 7th from the left and B is
are indicated by :
9th from the right. They both interchange their
(a) 7
(b) 8
(c) 9
(d) 10
positions. A becomes 11th from the left. How many
128. Urban hard working who are neither educated nor
people are there in the row?
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honest are indicated by:
(a) 18
(b) 19
(c) 20
(d) 21
(a) 2
(b) 3
(c) 4
(d) 5
6
INFOMATHS/MCA/MATHS/
INFOMATHS
BHU-2012
129. Uneducated, urban, hard working and honest people
are indicated by :
(a) 2
(b) 3
(c) 4
(d) 5
130. Hard working and non-urban people who are neither
educated nor honest are indicated by :
(a) 7
(b) 8
(c) 10
(d) 12
131. Which of the following diseases usually spreads
through air?
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(a) Plague
(b) Tuberculosis
(c) Typhoid
(d) Cholera
132. The southernmost point of Indian territory is in
which of the following States/Union Territories?
142.
143.
144.
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(a) Tamil Nadu
(b) Kerala
(c) Lakshadweep
(d) Andaman and Nicobar Islands
133. Which of the following has been found useful in
keeping the level of cholesterol down? BHU-2012
(a) serpentina
(b) tulsi
(c) turmeric
(d) garlic
134. A place which has 2 as the first digit in its PIN Code
must be situated in which of the following states?
145.
146.
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(a) Uttar Pradesh
(b) Maharashtra
(c) Gujarat
(d) Andhra Pradesh
135. In which of the following countries did the decimal
system of numbers originate?
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(a) England (b) France
(c) India (d) Greece
Directions: (Question Nos. 136 - 138) : In the following
questions you have passages, with questions following
passages. Read passage carefully and choose the best
answer to each question and mark it in the Answer Sheet:
But alas, in 1964, when I was nine, my young life
shattered into pieces once again. My mother passed away
after an illness of just 15 days. She had been the anchor of
my life. And how I missed her. But little children are
resilient. My maternal grandmother was staying with us
and my mother's widowed younger sister came to help out
with us. So well did my aunt fit into our household that in
two years my father had married her: she become our
mother and her only daughter become our sister.
147.
148.
149.
150.
(a) input, output unit
(b) memory unit
(c) arithmetic and logical unit, central unit
(d) keyboard, printer
Main memory unit of computer:
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(a) performs arithmetic
(b) stores a small amount of data and instructions
(c) stores bulk of data and instructions
(d) supervises the working of all the units
The base of the binary number system is : BHU-2012
(a) 2
(b) 16
(c) 8
(d) 10
The basic arithmetic operation performed by a
Computer is :
BHU-2012
(a) addition
(b) multiplication
(c) subtraction
(d) division
Which is true of conditional compilation? BHU-2012
(a) It is taken care of by the compiler
(b) It is setting the compiler option conditionally
(c) It is compiling a program based on a condition
(d) It is operation taken by the compiler
The minimum number of temporary variables needed
to swap the contents of two variables is : BHU-2012
(a) 1
(b) 2
(c) 3
(d) 0
If the integer needs two bytes of storage, then
maximum value of an unsigned integer : BHU-2012
(a) 216 -1 (b) 215 – 1 (c) 216
(d) 215
If Y is of integer type then the expressions
3* (y - 8)/9 and (y-8)/9*3
yield the same value if :
BHU-2012
(a) Y is an even number
(b) y is an odd number
(c) y -8 is an integral multiple of 9
(d) y -8 is an integral multiple of 3
The following program fragment
if(a=O)
printf ("a is zero") i
else
print! ("a is not zero") ;
results in the printing of
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(a) a is zero
(b) a is not zero
(c) nothing
(d) garbage
Consider the following flow chart :
BHU-2012
136. The writer's life got 'shattered into pieces' when :
(a) his father married again
(b) he lost his mother
(c) he fell seriously ill
(d) a sister was born to him
137. The writer's response to his father marrying again is
that of:
(a) indifference
(b) disdain
(c) approval
(d) disapproval
138. The tone of the passage is :
(a) gloomy (b) humorous (c) ironical (d) lyrical
Directions: (Question No. 139 & 140) : On prepositions
may be taken as a drill in the use of prepositions. Select
the most appropriate preposition carefully and then put
your cross against the right answer :
139. Do not look down ......... the poor.
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(a) do
(b) upon (c) at
(d) in
140. He was heart broken ......... her indifference " .......
him.
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(a) at, to (b) by, for
(d) by, to (d) at, on
141. A Central Processing Unit (CPU) consist of:
Which of the following is not equivalent to the above
flow chart ?
BHU-2012
(a) if (a > b)
(b) if (a < = b)
if (b > e)
if (b > c)
a =1;
a = 1:
else if (e > Ii)
else if (c < = d)
b = 2;
b = 2;
(c)
7
if (a> b)
;
Else if (b > c)
a = 1;
else if (c < = d)
b = 2;
(d) if (a > b)
;
else if (b > c)
a = 1;
else if (c > d)
;
else b = 2;
INFOMATHS/MCA/MATHS/
INFOMATHS
BHU-2012
1
A
11
B
21
A
31
A
41
A
51
C
61
A
71
C
81
A
91
C
101
C
111
C
121
C
131
B
141
C
2
C
12
A
22
D
32
D
42
D
52
C
62
A
72
D
82
C
92
A
102
A
112
B
122
C
132
D
142
B
3
B
13
B
23
C
33
C
43
C
53
B
63
D
73
B
83
C
93
B
103
D
113
C
123
D
133
D
143
A
4
D
14
C
24
B
34
A
44
A
54
A
64
D
74
C
84
B
94
A
104
D
114
D
124
B
134
A
144
A
5
A
15
D
25
A
35
A
45
C
55
B
65
B
75
C
85
D
95
D
105
B
115
C
125
D
135
C
145
C
6
B
16
C
26
D
36
B
46
C
56
C
66
C
76
B
86
D
96
C
106
C
116
B
126
A
136
B
146
D
7
A
17
B
27
A
37
D
47
B
57
D
67
D
77
A
87
B
97
A
107
A
117
C
127
B
137
C
147
A
8
A
18
A
28
C
38
C
48
A
58
C
68
A
78
D
88
C
98
C
108
C
118
B
128
A
138
A
148
C
9
D
19
D
29
D
39
A
49
D
59
B
69
D
79
D
89
C
99
C
109
A
119
C
129
C
139
B
149
B
10
C
20
B
30
B
40
B
50
D
60
D
70
B
80
C
90
B
100
D
110
C
120
A
130
D
140
A
150
A
8
INFOMATHS/MCA/MATHS/