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EAMCET (ENGINEERING) MODEL GRAND TEST

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Max.Marks: 160

Questions: 160

Time: 3 Hours

MATHEMATICS

1.

If f: [0, 3] R defined by f (x) = x + [x + [x]] , where [.] denotes greatest

integer function then the range of f is

f: [0, 3] R J f(x) = x + [x + [x]] , [.] Je

g u *h f \

uh

1) [0, 9]

2.

3.

2) [3, 3]

2
Domain of f (x) = esin1 logx16 is

3) [0, 1]

4) [3, 1]

v v

1
1) , 4
4

1
2) 4,
4

1
3) 4,
4

4) 0, 4

1
4

, 4

In the sequence {1}, {2, 3}, {4, 5, 6}, {7, 8, 9, 10}, ... of sets the sum of

elements in the 5th set is 3P 2P then P is

{1}, {2, 3}, {4, 5, 6}, {7, 8, 9, 10}, ...

3P 2P P =
1) 4

4.

2) 3

v 5 --E h

3) 5

4) 2

If 'O' is circumcentre and 'H' is orthocentre of ABC, then

ABC 'O' J-v, 'H' -v

List (--G-) I

--

A) OA + OB + OC

List (--G-) II

1
1) HO
2

B) HA + HB + HC

2) 2 HO

C) AH + HB + HC

3) 2 AO

1
4) OH
3

5) OH

D) OG

The correct matching is

j
A B C D
A B C
1) 1 5
3 2
2) 5 2
4
3) 5 2
3 4
4) 2 4
3

D
3
5

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5.

Assertion (A): The torque about the point 3 i j + 3 k of a force represented by

4i + 2j + k through the point 5 i + 2j + 4k is i + 2j 8k.

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(A) : 5 i + 2j + 4k

n-C- o G y h 3i j + 3k
nC o G %d u 4i + 2j + k \ \
i + 2j 8 k.

where r is the
Reason (R): The torque of a force F about a point P is r F

a on the line of action of F

vector from the point P to any point

-\ \ P G %d u r F -C. \
C P G * a n- -C- o G- U C

(R): F

Which of the following is correct?

1) Both A and R are true and R is the correct explanation of A.

A, R j-N, A R j--

N--.

2) Both A and R are true but R is not correct explanation of A.

A, R j-N. A R j

3) A is true, but R is false.

4) A is false, but R is true.

6.

N- .
A u, R u.
A u, R u.

Let
a = i + j + k,
b = x1i + x2 j + x3 k, where x1, x2, x3 {3, 2, 1, 0,1, 2}
then the number of possible vectors
b such that
a.
b = 0 are

a = i + j + k,
b = x1i + x2 j + x3 k, x1, x2, x3 {3, 2, 1, 0, 1, 2} --

a.
b = 0 u N u-u b C- u
1) 5

7.

3) 25

If
a = 3,
b = 4 and
a+
b = 5 then
a
b=

4) 1

a = 3,
b = 4,
a+
b = 5
a
b=
1) 5

8.

2) 10

2) 3

3) 1

4) 0

If P is real and
a = P i + sin j + k, b = 2i + Pj + k, c = i + j + k are three
coplanar vectors then P =

h u, a = P i + sin j + k, b = 2 i + P j + k, c = i + j + k -M
C- - P =
P

9.

1) 1
1 1 1

4) 3

a , b , c are reciprocal vectors of a, b, c then [ a1 b1 c1] [ a

b
1 1 1
1 1 1
a , b , c - a, b, c -\ -N C- [ a b c ] [ a b
1) 3

2) 1

2) 1

3) 0

3) 13

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4) 4

c ] =

c ] N

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10. Which of the following is possible? C-

C u?

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1
1) sin = x + , x R
x

2) cos = x2 + 2x + 2, x R

x2

3) sec = , x R
1+ x2

4) tan = 500

11. sin2 + cos2 ( + ) + 2 sin sin cos ( + ) =

1) sin2

2) sin2

3) cos2

4) cos2

B + 2C + 3A
AB
12. In ABC () cos + cos = ..
2
2
1) 1

2) 1

3) 0

4) 2

13. The maximum value of cos3 A + cos3 (120 A) + cos3 (120 + A) is

cos3 A + cos3 (120 A) + cos3 (120 + A) \
3
1)
4

4
2)
3

Je N

1
3)
2

1
4)
4

14. Period of cos (cos x) + cos (sin x) is

cos (cos x) + cos (sin x) \

1)
2

-h

2) 2

2
4)
3

3)
4

5
11
1
15. The value of 2 sin1
=
+ tan
60
61
5
11
1
2 sin1
+ tan
60
61

\ N=

1)
4

2)
2

3)
3

16. The number of real solutions of tan1 x(x

+ 1) +

2) 1

17. If sinx sinhy = cos and

sin1 x2

+ x + 1 = is
2

tan1 x(x + 1) + sin1 x2 + x + 1 = \

2
1) 0

4) none of these D-

h - u

3) 2

(J)

4) infinite

cosx coshy = sin then

cos h2y + cos2x =

1) 1

2) 0

3) 1

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4) 2

()

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18. A man on the top of a 100 meters high tower seen a car moving towards the tower
at an angle of 30. After some time the angle of depression becomes 60. Then
the distance travelled by the car is

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E 100 O. h o P * P j ho 30
. - y Eo- 60 v--*

200 3

1) 100 3

2)
3

100 3

4) 200 3

3)
3

1
1
19. If base angles of triangle are 22 , 112 then base and height are in the ratio
2
2
1
1
22 , 112 E
2
2
2) 1 : 3
3) 3 : 1

vA N,
1) 1 : 2

N, h- o EpAh
4) 2 : 1

20. In ABC, if the line joining orthocentre and centroid is parallel to BC, then
cot B. cot C =
ABC vA- --vEo,
cot B.cot C \ N
1
1)
2) 2
2

-y--vEo L

BC

1
3)
3

--
4) 3

2
21. If z
z = 2 then the greatest value of z is
2
z z

= 2 z \

1) 3 1

2) 3

Je N

3) 3 + 1

4) 3 + 2

22. If cos + cos + cos = 0 = sin + sin + sin then ()

cos2 + cos2 + cos2 =
1) 3 cos ( + + )

2) 3 cos ( + + )

3
3)
2

1
4)
2

23. cos 4 =

1) 8 sin4 8 sin2 + 1

2) 8 cos4 8 cos2 + 1

3) 4 cos3 sin 4 cos sin3

4) 2 sin3 + 2 cos sin2

24. If the transformed equation of a curve is X2 + Y2 + 4X + 6Y + 12 = 0 when the

axes are translated to the point (2, 3) then the original equation of the curve is

G- (2, 3) a X2 + Y2 + 4X + 6Y + 12 = 0 O--
1) x2 + y2 + 1 = 0

2) x2 + y2 1 = 0 3) x2 y2 + 1 = 0 4) x2 y2 1 = 0

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25. A(7, 3), B(15, 3) are two vertices of a ABC then locus of third vertex 'C' if
cotA + cotB = k, where k is constant is

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A(7, 3), B(15, 3) vA ABC \
Q{ 'C' \ G-

Q{.

2) a line perpendicular to BC.

BC

-- --

3) a circle with A, B as ends of diameter.

A, B

u)

1) a line parallel to BC.

BC

cotA + cotB = k (k n

--

4) a line parallel to AB.

AB

u *- %h O--

-- --

26. The equation of perpendicular bisector of a line segment A B is x y + 5 = 0.

If A = (1, 2) then AB =

A = (1, 2), A B
- \

1) 7 2

3) 8 2

- -Cy-- O--

2) 6 2

x y + 5 = 0 AB =

4) 9

27. If P, Q are two points on the line 3x + 4y + 15 = 0 such that OP = OQ = 9, then

the area of OPQ is
P, Q 3x + 4y + 15 = 0 j

ju

1) 6 2

2) 9 2

G-

OP = OQ = 9, OPQ

3) 12 2

4) 18 2

28. The length of the intercept on X axis cut by the pair of lines
2x2 + 5xy + 3y2 + 6x + 7y + 1 = 0 is
2x2 + 5xy + 3y2 + 6x + 7y + 1 = 0 - \ X

1) 5
2) 2 5
3) 7
4) 2 7

29. If the slope of one of the lines represented by 2x2 + 3xy + ky2 = 0 is 2 then the
angle between pair of lines is
2x2 + 3xy + ky2 = 0

1)
2

2)
3

3)
6

4)
4

1 1
30. If the direction cosines of a line are , , n and n < 0 then n =
3 3
1 1
3 3

C j-

, n, n < 0 n =

7
1)
3

7
2)
3

3
3)
7

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3
4)
7

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31. The distance between the parallel planes
4x 4y + 2z + 5 = 0, 2x 2y + z + 3 = 0 is

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4x 4y + 2z + 5 = 0, 2x 2y + z + 3 = 0 -
1) 1 unit

1
3) units
6

2) 2 units

4) 3 units

1
3
32. If a line makes angles cos1 , cos1 with X axis and Y axis
5
5
respectively then the angle made by the line with Z axis is

- X ~, Y ~- - -
Z ~
1

5
1
x

1) cos1

33. Lt

2) cos1

1
3
cos1 , cos1
5
5

hC.

3
3) cos1

4
4) cos1
5

1
3)
4

1
4)
2

x1 cos 1 x 2

1) 1

2) 4

1 tanx

34. Let f(x) = , x , x 0, .

4x
4
2

If f(x) is continuous in 0, , then f is

2
4

1 tanx

f(x) = , x , x 0, , f(x) v

0,
4x
4

N-*- a- o
1) 1

35. If y = log
x2

1)
1 + x4

f
4

1
2)
3) 1
2
1/
2
1+x
1
dy
tan1 x then () =
1x
2
dx
x2

2)
1 x4

x
3)
1 x2

1
4)
2

x
4)
x2 1

xn + yn
U

then
(
)

=
36. If U = log
xe + ye
x
1) n

2) e

3) n e

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n
4)
e

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37. The radius and height of a cylinder are measured as 5 cm, 10 cm respectively and
there is an error of 0.02 in both the measurements. The percentage error in
volume is

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h ul, h - 5 .O., 10 .O., O x 0.02

--J-- ?
1) 1

2) 0.01

3) 0.001

4) 1

38. The lengths of tangent, sub tangent, normal and subnormal for the curve
y = x2 + x 1 at (1, 1) are A, B, C, D respectively then their increasing order is
y = x2 + x 1 vj (1, 1) G _ U pz ,
--G- - - A, B, C, D , -- N-
1) B, D, A, C

2) B, A, C, D

3) A, B, C, D

4) B, A, D, C

-pz , G- ,
v....

39. If a2 x4 + b2 y4 = c6, then the maximum value of xy is

a2 x4 + b2 y4 = c6, xy Je
c3
1)
2ab

c3
2)

2ab

c3
3)
ab

c3
4)

ab

40. The relation between displacement 'S' and time 't' of a particle is given by
1
S = 6 t t 2 then its maximum velocity is
2

v-
1
S = 6 t t 2
2

1) 1 unit/sec

(S), (t)

E Je

2) 6 units/sec

3) 3 units/sec

41. If y = log (x2 a2) then () yn =

1
1
1) ( 1)n1 (n 1) ! n + n
( x a)
(x + a)
1

2) ( 1)n1 (n 1) !

(x + a)n
(x + a)n

3) ( 1)n1 (n 1) !

(x a)n 1 (x + a)n 1

1
4) ( 1)n1 n!
(x2 a2 ) n

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4) 11 units/sec

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42.

3 cos x + 2 sin x

5 cos x + 4 sin x dx =

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23
2
1) x log 4 sin x + 5 cos x + c
41
41

23x
2
2) + log 5 cos x + 4 sin x + c
41
41
2x
23
3)
+

41 41 log 4 sin x + 5 cos x + c

2
23
4) x + log 4 sin x + 5 cos x + c
41
41

43.

(sin (logx) + cos (logx))dx is

1) x cos (log x) + c

2) ex sin (log x) + c

3) x sin (log x) + c

4) ex cos (log x) + c

(sec x + tan x)n

sec xdx
5 = + c, then () n =
(sec x + tanx)
n
1) 6
2) 5
3) 5
4) 4

44. If

/2

45.

dx =
4cos2 x + 9sin2 x
0

1)
2)
4

/2

/2

3) 16

4) 12

I1
f (sin2x) cos xdx, then () =
I2
0
0
1
1) 1
2)
3)
4) 2

2
2
47. The area in the first quadrant enclosed by the axes, the line x = y
3 and the
2
2
circle x + y = 4 (smaller area) is
2
2
x = y
3 , x + y = 4 ~-j up ju ( ~)

46. I1 =

f(sin2x) sin x dx and I 2 =

1)
2

2)
3

3)
4

4)
6

48. The approximate value of x4 dx using Trapezoidal rule and taking six equal
3
interval is

-v---- vEo --Th, *a -Eo - B-

3

x4 dx \ b- N

1) 11.5

2) 9

3) 115

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4) 120

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49. Solution of the differential equation

[
+[

]
[ ]
[ ]
(
)
( )
] + [ ] + [ ] +

(x2y2) dy 2 (xy)3 dy 3
x = 1+ xy + + + .. is
dy

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x=1

dx

2!

x2y2
2!

dy
xy
dx

dx

3!

dy
dx

dx

xy 3 dy 3
.. --
dx
3!

1) y = ln (x) + C

2) y = (ln x)2 + C

3) y =

4) xy = xy + K

(ln x)2 + C

O--

50. The differential equation of the curve for which the normal at every point passes
through a fixed point (h, k) is
j G l U G- (h, k) G - y - - h v -- O--
dx
dx
1) y k = (h x)
2) y k = (x h)
dy
dy
dy
dy
3) y k = (h x)
4) y k = (x h)
dx
dx
dy
xlogx2 + x
51. =
dx
siny + y cosy
1) y sin y = x2 log x + c

2) y sin y = x2 + c

3) sin y = x2 log x + c

4) y sin y = x log x + c

52. The values of K for which the equation x2 + y2 + z2 + 4x + 6y + 8z + K = 0

represents a real sphere is
x2 + y2 + z2 + 4x + 6y + 8z + K = 0 O--
1) K 19

2) K 29

3) K 39

h Eo *h

4) K 39

53. The pole of a straight line with respect to the circle x2 + y2 = a2 lies on the
circle x2 + y2 = 9a2. If the straight line touches the circle x2 + y2 = r2, then
x2 + y2 = a2 %d u --
x2 + y2 = r2 %hEo p %Ph
1) 9a2 = r2

2) 9r2 = a2

x2 + y2 = 9a2

%h O ,

3) r2 = a2

4) 3r2 = a2

54. If A and B are conjugate point w.r.t a circle with centre 'O' and radius 'r', then
AB2 =
'O' v, 'r'

ul o %hE

A, B

t G-

1) OA2 + OB2

2) OA2 + OB2 + 2r2

3) OA2 + OB2 + r2

4) OA2 + OB2 2r2

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AB2 =

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55. If (1, 2), (4, 3) are limiting points of coaxial system then the equation of the circle in its conjugate system having minimum area is

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(1, 2), (4, 3)

-~%h - C G- E --~ %h---

A \ ju o %h O--
1) x2 + y2 2x 4y + 5 = 0

2) x2 + y2 8x 6y + 25 = 0

3) x2 + y2 5x 5y + 10 = 0

4) x2 + y2 + 5x + 5y 10 = 0

56. The normal at 'P' cuts the axis of the parabola y2 = 4ax in G and S is the focus
of the parabola. If SPG is an equilateral then each side is of length
y2 = 4ax ----E 'P' G l
S G, SPG - vA
1) a

2) 2a

U G--- -~Eo
- vA-
3) 3a

_ -hC.

4) 4a

x2 y2
57. The ends of minor axis and the Focii of + = 1 form a square, then its
a2 b2
eccentricity is
x2 y2
+ = 1 -D`-%-h
a2
b2

vy~ -\ u --v p--

D`-%h \-v
1
1)
2

1
2)

3
3)
2

4) sin18

x2
y2
58. The equation + = 1 represents a hyperbola then
7k 5k
y2
x2
+ = 1 A -Eo *h
7k
5k
1) 5 < k < 7

2) k < 5 (or) k > 7

3) k < 5

4) k 5, k 7

59. The equation of the line which passes through 1, and which is parallel to
2

r (2cos + 3 sin) = 4 is

r(2cos + 3 sin) = 4

1) r (2 cos + 3 sin) = 3

3) r (2 sin 3 cos) = 2

O--

--

1,
2

G y --x -

2) r (2 cos + 3 sin) = 3

4) r (2 sin 3 cos) = 2

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60. If the roots of 3x3 22x2 + 48x 32 = 0 are in H.P., then the roots are
3x3 22x2 + 48x 32 = 0 O--

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H.P.

1 1 3
1) , ,
4 2 4

4
2) 4, 2,
3

1,
1,
2
3)
3 2 3

3
4) 3, 2,
2

61. For the equation x2 + x 6 = 0, the roots are

x2 + x 6 = 0 O--

1) one and only one real number

h u

2) real with sum one

h, h

3) real with sum zero

'1'

4) real with product zero

h-, h'0'

h-, -l

'0'

2
2
62. If 203 2x = (40 5)3x 2, then () x =

13
12
4
5
2)
3)
4)
1)
12
13
5
4

3
4
5
2

63. If x , x , x , ... can be neglected, then x + 16 x2 + 9 =

x3, x4, x5,... Nt-Jh x2 + 16 x2 + 9 =

x2
1) 1
4

x2
2) 1
8

x2
3) 1
18

x2
4) 1
24

64. In the expansion of (1 + x)n, if the 2nd, 3rd terms are respectively a, b then x =
(1 + x)n Nh-- 2, 3
2b
1) a
a

a
2)
a2 2b

a, b

x=

a2
3)
a2 2b

a2 2b
4)
a2

x4 + 3x + 1
C
D
E
65. If = Ax + B + + + then () A + D =
(x + 1)2 (x 1)
x + 1 (x+1)2 x 1
1) 2

2) 2

3
3)
2

4) 0

3) 5e + 1

4) e 1

32
42
12 22
66. + + + + ... =
3! 4!
5! 6!
1) 2e 5

2) 2e 4

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www.eenadupratibha.net
x
x2
x3
67. + + + ...
1.2
2.3
3.4

( )
t
e
x1
n
4) 1 + (
x ) log (x .1)

( )
1x
3) 1 + (
x ) log (x 1)

1x
1) 1 + log (1 x)
x

x1
2) 1 + log (1 x)
x

a
h

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68. If a 0

x+1
x
x
x+a
x

x
x

= 0 represents (

x + a2

1) a straight line parallel to X axis

X - ~-E

--
3) a parabola
--

69.

O-- Eo *-hC)

2) a straight line parallel to Y axis

Y - ~-E

--
4) a circle
%h
Consider the following statements. C v--- J-Q-L-.

Statement - I: If det A = 0, then det (adj A) = 0.

v- I: A = 0 adj A = 0.
Statement - II: If A is non-singular then det (A1) = (det A)1.

v-

II: A

-- --vA --

A1 = A1.

Which of the above statements is/are correct? j

1) Both I and II

I --J- II

3) I only

I v

v-x j-N N?
2) Neither I nor II D-
4) II only
II v

70. If there is no solution for the system of equations x + y + z = 4, y + 2z = 5

and x + y + pz = q

j O-- un
1) p = 1 and q = 4

2) p = 1 and q 4 3) p 1 and q = 4 4) p 1 and q 4

71. Number of ways of arranging 3 boys and 4 girls so that no boy is in between any
two girls

-_ , -- L-- - Jap l L- u
E -J- u
1) 576

2) 314

3) 144

4) 24

72. In a shop there are 30 Thumsups, 20 Sprites, 40 Limcas. In how many ways a
boy can purchase 10 cool drinks?

- 30 --q-, 20 -vjp-, 40 L-\- o.

F- ---- Eo N --?
-1) 66
2) 90C10
3) 10C3
4) 15
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10

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73. The maximum number of points of intersection of 4 circles and 4 straight lines is
4

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%h,

--- J-e -- G

1) 25

2) 50

3) 56

4) 73

74. If C(2n, 3) : C(n, 2) = 12 : 1 then () n =

1) 4

2) 6

3) 5

4) 8

75. A letter is known to have come from either 'LONDON' (or) 'CLIFTON' on the
envelope just 2 consecutive letters 'ON' are visible. The probability that the
letter comes from LONDON

h 'LONDON' () 'CLIFTON' * *aC F -j

'ON' -Eh h LONDON * --E o -u
12
1)
17

5
2)
17

3
3)
17

2
4)
5

76. Four numbers are chosen at random from {1, 2, 3, ...40}. The probability that
they are not consecutive is
{1, 2, 3,... 40}

* u- -%*a o N u
--E -u
1
1)
2470

4
2)
7969

2469
3)
2470

7965
4)
7969

77. If x is a binomial variate with the range n = 6 and P(x = 2) = 4P (x = 4), then the
parameter P of x is
x C Cy
P N.

N- u E uh n = 6,

P(x = 2) = 4P(x = 4) x NA

1
1
2
1)
2)
3)
3
2
3
78. A random variable X has its range {0, 1, 2, 3, ...}.

3
4)
4

c(r + 1)
If P(X = r) = for r = 0, 1, 2, ... then c =
3r
x -%*a -P uh {0, 1, 2, 3, ...}

c(r + 1)
P(X = r) = , r = 0, 1, 2... c =
3r
4
1
1)
2)
3) 2
9
2

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1
4)
4

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79. If a random variable X follows poision distribution and its variance (2) = 4 then
mean () =

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-%-*a -P
u () =

- E-Eo -hC, E Nh %A

2) 2

1) 2

3) 4

(2) = 4

4) 1

1
80. Suppose X follows a binomial distribution with parameters n = 100 and P = .
3
Then P(X = r) is maximum when r =

-%-*a -P

X Cy

N---Eo -hC.

1
n = 100, P = , P(X = r) Je
3

1) 65

r N

2) 67

3) 33

4) 30

PHYSICS

81. The physical quantity having the dimensions [M1 L3 T+3 A2]
[M1 L3 T+3 A2 ] N o A P
1) resistance

2) resistivity

E
Nu-a-

3) electrical conductivity Nu - 4) electromotive force

82. A swimmer crosses a river of width 'd' flowing at a velocity 'v'. While swimming,
he keeps himself always at an angle of 120 with the river flow and on reaching
the other point he finds a drift of d/2 in the direction of flow of river. The speed
of swimmer with respect to river is

p , 'v' vho CE uh . v C
xp 120 C , CE y, C C Nn- d/2
Jh-. C %d u C uh ?
d

1) (2 3)v

2) 2(2 3)v

3) 4(2 3)v

4) (2 + 3)v

83. A particle is projected from the ground with an initial speed of V at an angle
with the horizontal. Average velocity of the particle between its point of
projection and highest point of the trajectory is

Eo V L , ~A- * v~h . v~-h-G,

Je h u
V
1) 1 + 2 cos2
2

V
2) 1 + cos2
2

V
3) 1 + 3cos2
2

4) V cos

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84. Two blocks of masses 5 kg and 2 kg are connected by a massless
string as shown in the figure. A vertical force F is applied on the

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5 kg

5 kg block. The value of F if tension in the string connecting the

blocks is 40 N is (g = 10 ms2)

x 5 kg, 2 kg vu-P o Ct- vu--P2 kg

- L. 5 kg Ctj Ed-E-- j F Eo v-T-*--p, Ct --o u 40 N , F N
1) 140 N

2) 70 N

3) 40 N

4) 100 N

85. In inelastic collision of two bodies which of following do not change after the
collision

h- n-A-n- G--, G- y C-- C ?

a) total kinetic energy

h A-h

b) total linear momentum

h & vu-

c) total energy

d) total angular momentum

h h

h vu-

1) a & b
2) b & c
3) b & d
4) a & d
86. A force F acting on a body depends on its displacement S as F S1/3. The
power delivered by F will depends on displacement as.
h O E ho F, n-v S O F S1/ 3 ----C. F x

N--j n u, n-v O N- ----C

1) S2/3

2) S3/2

3) S1/2

4) S 0

87. From a circular disc of radius R, a square is cut out with a radius as its diagonal.
The centre of mass of remainder is at a distance (from the centre)
R

ul o %h- \ *, ul, g --vEo AhJ.

NTL \ vu-P v (v *)
R

1) (4
2)

R
2)
2

R
3) (
2)

4) (2
2)

88. A block is allowed to slide down an inclined plane of 45 which is smooth for
first 9/25 of total length and it is rough for remaining part. Initially it starts from
rest and comes to rest at the bottom of plane. Then coefficient of friction between
the surfaces is
45o

- j* Ct C. - h - 9/25
, N-C . L C N--nA * --J, C
-E -J N--n-A hC. u {
25
1)
16

16
2)
25

9
3)
25

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25
4)
9

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89. The energy required to shift a satellite from orbital radius 'r' to 2r radius is 'E'.
What energy will be required to shift the satellite from orbital radius '2r' to orbital
radius '3r'?

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-v-Eo r ul * 2r ulE d -E Lq h
ul * 3r ulE d -E Lq h
E
2)
2

1) E

E
3)
3

'E'. '2r'

E
4)
4

90. Fx and xt graph of a particle in SHM are as shown in Fig. The maximum K.E.
of particle is

..-. o \
Ah

F x, x t

x (cm)

F (N)

10

-1

v . Je

x (m)

t(s)

1) 16 mJ

2) 8 mJ

3) 26 mJ

4) 0.8 mJ

91. A wire of length 1 m and radius 1 mm is subjected to a load. The extension is 'x'.
The wire is melted and then drawn into a wire of square crosssection of side 1
mm. What is its extension under the same load?
1 m , 1 mm ul

o B Eo -E-. - 'x'. B J-T*,

y Eo 1 mm o -v u-a - L. -E -
1) 2 x

2) x2

3) x

4) /x

92. Drops of liquid of density d are floating half immersed in a liquid of density .
If the surface tension of liquid is T then the radius of the drop will be
(d = density of liquid drop)

o v-G--, v o v E -o. v
--u T , v ul (d = v-G- v)

d v

3T
1)
g(2d )

6T
2)
g(2d )

3)

2T

g(2d )

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4)

3T

g(4d 3)

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93. A semicircular plate of mass 'm' has radius 'r' and centre 'C'. Its centre of mass is
at a distance x from C. Its moment of inertia about an axis through its centre of
mass and perpendicular to its plane is

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l %h- x vu-P 'm', ul 'r', v 'C'. v 'C' * E vuP v x C. vu-P v y h -E

~-- E y v
2

mr
1)
2

mr
2)
4

mr
2
3) + mx
2

mr
2
4) mx
2

94. A string is wrapped several times around a solid cylinder and the free end of
string is held stationary while the horizontal cylinder is released from rest. The
tension in the string will be

-h d, vAE x d. vA ya *- n .
hEo N-nA * N- h, vA u
mg
1)
3

mg
2)
2

mg
3)
4

2mg
4)
3

95. There are two holes one each along the opposite sides of a wide rectangular tank.
The cross section of each hole is 0.01 m2 and the vertical distance between the

holes is one meter. The tank is filled with water. The net force on the tank in
newton when the water flows out of the holes is: (density of water is 1000 kg/m3)

j p D`----v- u uA- v . vA v
u-a 0.01 m2, v u Ed-E- 1 m. u F E.
v y F - h u O L-- (u--) (F--v
1000 kg/m3)
1) 100 N

2) 200 N

3) 300 N

4) 400 N

96. A cylinder open at the top has a cross sectional area 10 sq.cm. A piston is allowed
to fall freely from the top of a cylinder. If it travels 1/3 of the length of the
cylinder

at

constant

temperature,

the

mass

of

the

piston

is

(g = 10 m/s2 and 1 atm = 105 pa)

j J* o h ua ju 10 cm2. h j* --Eo
ya C C. n g-v l C h 1/3 v-h,
- vu-P (g = 10 m/s2, 1 atm = 105 pa)
1) 2.5 kg

2) 15 kg

3) 7.5 kg

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4) 10 kg

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97. A platinum resistance thermometer reads 0C when its resistance is 80 and
100C when its resistance is 90 . Find the temperature at the platinum scale at
which the resistance is 86 .

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x E tO-- E 80 o-p g-v
100C. E 86 o-p, x \ O g-v
1) 30C

2) 60C

3) 20C

4) 10C

0C, 90

o-p

98. A gas is compressed at a constant pressure of 50 N/m2 from a volume of 10 m3

to a volume of 4 m3. Energy of 100 J is then added to the gas by heating. Its
internal energy is

n-- 50 N/m2 l 10 m3 .. * 4 m3 .. u CC.

x 100 J hE Ch, -_ h
1) increased by 400 J
2) increased by 200 J
400 J -C
200 J --C
3) increased by 100 J
100 J --C

4) decreased by 200 J
200 J _-C

99. A substance of mass M kg requires a power input of P watt to remain in the molten
state at its melting point. When the power source is turned off, the sample
completely solidifies in time 't' seconds. The latent heat of fusion of the substance is
M kg vu-P

o n E vO----n l v-n-A -E P watt

n u -. n u -Eo B----p Jh 't' F--
-C. n hg

Pt
PM
2)
3) PtM
4)
t
M
100. Which of the following qualities suit for a cooking utensil?
1) Pt

C-- --v- JC

1) High specific heat and low thermal conductivity

C NP-dg, p g---

2) High specific heat and high thermal conductivity

C NP-dg, C g---

3) Low specific heat and low thermal conductivity

p NPdg, p g---
4) Low specific heat and high thermal conductivity

p NPdg, C g---
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101. Assertion (A)): All particles between two consecutive nodes vibrate in the same
phase.
uu (A)): vp-- u o Eo -h.

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Reason (R)): Particles on two sides of a node vibrate mutually in opposite phase.
(R)): vp-- -j-- -p uA---- h.
1) Both A and R are true and R is the correct explanation of A.
A, R j-N. R C A

j N-.

2) Both A and R are true and R is not the correct explanation of A.

A, R j-N. R C A

j N- .

3) A is true, But R is false.

A jC,

4) A is false, but R is true.

F R jC .

A jC

, F R jC.

102. A source of sound is moving along a circular orbit of radius 3 m with an angular
velocity of 10 rad/s. A sound detector located far away from the source is
executing linear simple harmonic motion along the line BD with amplitude
BC = CD = 6 m. The frequency of oscillation of the detector is (5/) per sec. The
source is at the point A when the detector is at the point B. If the source emits a
continuous sound wave of frequency 340 Hz, find the maximum and the
minimum frequencies recorded by the detector (velocity of sound = 330 m/s.)

yE , 3 m ul o %h- ~u 10 rad/s
C. * -Ja yE -d, BC = CD = 6m
J-N-A BD ..-. EyJhhC. -d J-NA - (5/).
-d B l o-p, A l C. 340 Hz --u N-*a-o
yEE pJh, -d Jf Je, E-e --u (yE = 330 m/s)
N

3m

BC

1) 255, 442

2) 442, 255

3) 295, 482

4) 482, 295

103. When a light incident on a medium at an angle of incidence 'i' and

refracted into a second medium at angle of refraction 'r', the graph
of sin 'i' and sin 'r' is shown in the figure, then the critical angle
for the two media is

sin r

30

sin i

l O A -i, -- 'r' v-- l

v-- CC. sin 'i', sin 'r' v . - Cl

'i'

1) sin1 (3 )

( )

1
2) sin1

( )

1
3) cos1

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( )

1
4) tan1
2

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104. The dispersive powers of the materials of convex lens and concave lens placed
in contact are in the ratio 1:2. For the achromatic combination, the focal length
of convex lens is 100 cm. Then what is the focal length of concave lens?

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- , - - - pz *-- p, -n N~- -n u EpAh 1:2

- g - -E, - u- 100 cm - u-

1) 50 cm

2) 75 cm

3) 100 cm

4) 200 cm

105. The maximum number of possible interference maxima for slit-separation equal
to twice the wavelength in Young's double = slit experiment, is

Cy<-L v-, <L- u , j`u-E dj uA--

J-e-E uu Je u
1) infinite 2) 5
3) 3
4) zero u

106. A very long bar magnet of pole strength 'm' is arranged vertically such that its
North pole is on a table. Neutral point is observed on the table, at a distance 'd'
from the pole. The resultant magnetic induction at the same distance of 'd',
towards East of the pole is (BH = 5 104 T)
'm'

vy o -j ---\-Eo, E h v O
EdE-- . v * 'd' l O -n-G-- E.
v p-j 'd' l L -\ ~v (BH = 5 104 T)

1) 5 104 T
2) 10 104 T
3) 5 2 104 T 4) Zero u

107. A magnetic needle of pole strength 20 3 Am is pivoted at its centre. Its north
pole is pulled east wards by a string. The tension in the string to produce a
deflection of 30 from the magnetic meridian is (BH = 104 tesla)

20 3 Am vy o -\ *- v l a. h vEo
vA p j . -\ uh 30 --h p--E
vA u (BH =104 tesla)

2) 8 103 N
3) 2 103 N
4) 4 3 103 N
1) 4 103 N
108. Two spherical charged conducting spheres of radii 'r' and 'R' are connected by a
thin metal wire. The ratio of the surface charge densities present on them will be
'r', 'R'

ulo - -P -, - B
E. O o -J- v- EpAh
1) r : R

2) r2 : R2

3) R : r

4) R2 : r2

109. Electric potential at any point is V = 5x + 3y + 15 z, then the magnitude of

intensity of electric field is
j G l V = 5x + 3y +
15 z, --- -Nu ~-v Bv J-

1) 3 2 units
2) 4 2 units
3) 5 2 units
4) 7 units

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A

110. Current passing through 3 resistance is

3 E

10V

4V

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14
1) A
3

3
2) 3 A
12
C
3) 2 A
4) A
5
111. Statement A: Thermistors are widely used in measuring the rate of energy flow
in microwave beams.

Statement A: iv

v h --E Jtdx --T-h.

Statement B: Parallel combination of cells is preferred when internal resistance

is quite negligible compared to load resistance and large emf is required.
Statement B:

E- La--p, -_ E-Eo J-----E B---p,

C N.-.. -Lq--p, - -Eo -.
1) A is true, B is false
A u, B u
2) A is false, B is true
A u, B u.
3) Both A and B is false
A, B - -u.
4) Both A and B is true
A, B - u.

112. A thermocouple of resistance 16 ohm is connected in series with a galvanometer

of 80 ohm resistance. The thermocouple develops an emf of 10 V/C. When
one junction is kept at 0C and other in a other liquid. If the emf varies linearly
with temperature difference and the galvanometer reads 8 milli volt, then
temperature of the liquid is
80 E o y--O--, 16 E o g--tEo v -E- .
g-t 10 V/C N.-.-. phC. CE 0C l, CE
v . g-v N.-.. &- -C. y--O- 8 milli
volt K- *h, v g-v
1) 240C

2) 480C

3) 540C

4) 960C

113. A straight horizontal conducting rod of length 0.5 m and mass 50 g is suspended by
two vertical wires at its ends. A current of 5.0 A is set up in the rod through the wires.
What magnetic field should be set up normal to the conductor in order that the
tension in the wires is zero? (Ignore the mass of the wires and take g =10 ms2 )
50

v. vu-P, 0.5 m o Ao ~A - fE, Ed-E-

B - D. B y f 5 A p--C. B u
u-E --E -\ ~vEo p-L? (g = 10 ms2 )
1) 0.1 T

2) 0.2 T

3) 0.3 T

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4) 0.4 T

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114. A circular loop of radius r carrying a current i is held at the centre of another circular loop of radius R (>>r) carrying a current I. The plane of the smaller loop

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makes an angle of 30 with that of the larger loop. If the smaller loop is held fixed
in this position by applying a single force at a point on its periphery, what would
be the minimum magnitude of this force?
i

v, r ul o %h- , I v, R(>>r) ul
o %h- v l . l , *o 30
hC. *o %h J-C-O Eo vT y n
. J-
0 iIr

1)
4R

0 iIr

2)
3R

0 iIr
3)
2R

0 iIr

4)
R

115. For a series LCR circuit R = XL 2Xc. The impedance of the circuit and phase
difference between alternating voltage and current will be
LCR v

- R = XL - 2Xc . -, -E{-, - u -

5R
1) , tan1 (2)
2

5 R
1
3) , tan1
2
2

2) 5 R, tan1 (2)

4) 5 R, tan1
2

116. If 5% of the energy supplied to a bulb is irradiated as visible light, how many
quanta are emitted per second by a 100 watt lamp? Assume wavelength of
visible light as 5.6 105 cm

s - 5% h %_---A N- C, 100 watt s -

_--i - u (%_- A --j` u 5.6 105 cm)
1) 1.4 1019

3) 1.4 1019

2) 3 103

4) 3 104

117. If K, K and L represent the frequencies of K, K and L Xray lines

of a given material, then

X

K, K, L

K, K, L

--u-j

K+ L

1) K = K + L

2) K =

3) L = K + K

4) K = K L

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118. Half-life of a radioactive substance A is two times the half-life of another
radioactive substance B. Initially the number of nuclei of A and B are NA and NB
respectively. After three half lives of A number of nuclei of both are equal. Then
the ratio of NA/ NB is
Jt n A l-@-N--, - ---Jt n B l-@-N---
x. --- A, B v- u - NA, NB. A l-@-N-- - y,
- v u -- NA/ NB =
1
1
1
1
1)
2)
3)
4)
4
8
3
6
119. Consider the following statements and identify the correct answer -

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C- jC --C?

a) In forward bias of p - n diode, the effective barrier potential is (VB V)

(VB is barrier potential and V is applied external voltage)
p - n C --t, L - E{- (VB V)
(VB - -E{-, V v-T-* u d-@)
b) In reverse bias of p - n diode, the effective barrier potential is (VB + V)
p - n C A--t, L - -E{- (VB + V)
c) In forward bias, an ideal p - n diode offers zero resistance
--t, z p - n C E u
d) In reverse bias, an ideal p - n diode offers infinite resistance
A--t, z p - n C E
1) a, b only are true
a, b v u
2) a, b, c only are true
a, b, c v u
3) a, b, c, d are true a, b, c, d u
4) All are false
Fo u
120. In Amplitude Modulation
J-NA (AM) u---
1) The amplitude of the carrier wave varies in accordance with the amplitude of
the modulating signal.

J-NA, u-- \ J-N-A -C.

2) The amplitude of carrier wave remains constant, frequency changes in

accordance with the modulating signal.

J-NA n, -u, u-- - -C.

3) The amplitude of carrier wave varies in accordance with the frequency of the
modulating signal

J-NA u-- --u -C.

4) The amplitude changes in accordance with wavelength of the modulating

signal.

J-NA, u-- --j-` u -C.

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CHEMISTRY

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121. The correct order of pH values of 0.1 M NH4Cl, 0.1 M KCN and 0.1 M KNO3
solutions is
0.1 M NH4Cl, 0.1 M KCN, 0.1 M KNO3 v- pH N-
1) NH4Cl < KNO3 < KCN

3) NH4Cl < KCN < KNO3

j v

2) KNO3 < KCN < NH4Cl

4) KCN < KNO3 < NH4Cl

122. Which one of the following pairs represents the extensive properties?

C- N t?
1) Heat capacity, Pressure

g--,
2) Specific heat, Temperature NP-dg, g-v
3) Heat capacity, Volume g--, --J-
4) Enthalpy, Temperature -Mp, g-v

123. The Langmuir adsorption isotherm equation is

x
ap
= . At high pressure, the equation transforms to
m
1 + bp

- C-- -g-v O--

x
ap
= .
m
1 + bp
x
1) = ap
m

C l O-- C N -C.
x
1
2) =
m 1 + bp

x
a
3) =
m
b

x
4) = b
m

124. Berilium carbide is hydrolysed using heavy water. The products formed are

K-L js- -- -N-x- Ch p oo

1) BeO, CH4

2) Be(OD)2, CD4 3) Be(OD)2, C2D2 4) BeO, CD4

125. The stability order of hydrides of alkalimetals is

~-- jwj- ny v

1) LiH > NaH > KH > RbH > CsH

2) CsH > RbH > KH > NaH > LiH

3) LiOH > NaOH > KOH > RbOH > CsOH

4) CsOH > RbOH > KOH > NaOH > LiOH

126. The order of melting points of III A group elements is

III A v

- vO-- n v

1) B > Al > Tl > In > Ga

2) B > Tl > Al > In > Ga

3) B > Al > In > Tl > Ga

4) B > In > Tl > Al > Ga

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127. List

(d)- I

List

(d)- II

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Type of silicate

Empirical Formula

(L- )

(--N t)

I) Si2O 6
7
2n
II) (SiO3)n
III) SiO4 4
IV) (Si2O5)n2n

A) Sheet silicate

L-
B) Cyclic silicate v L-
C) Sorosilicate L-
D) Nesosilicate FL-
The correct match is
j Jh-
A

1) IV II

3) II IV

III

2) IV

II III

III

4) II

IV III

128. An oxide of Nitrogen 'X' is formed during thermal decomposition of ammonium

nitrate. Regarding 'X' the incorrect statement is

-tE jv- g N- Ch
J* J-E uu
1) It is neutral and colourless gas

'X'

jv- t- p-C.

C E n y-- --o

2) It is neutral and paramagnetic

C n, -\ y-Eo LT C
3) It has linear shape
DE & %A C
4) It has anaesthetic action
DE Ev-a C

129. Among the following statements how many are correct?

*a uux Eo j-N?

I) Sulphur can form fluorides like S2F2, S2F4, S2F10

S2F2, S2F4, S2F10

xj-- phC

II) S O S link is present in H2S2O8

H2S2O8 S O S

III) SeCl4 is sublimative and TeCl4 is hygroscopic solid

SeCl4 p-

n,

TeCl4 jv-\-

IV) SCl2 is a dark red liquid with foul smell

SCl2
1) I

, y- o v
2) II

'X'

3) III

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4) IV

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130. The incorrect order among the following is

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C- J-E v

1) Oxidising power: F2 > Cl2 > Br > I2

q-- n u: F2 > Cl2 > Br > I2
2) Electron affinity: Cl > F > Br > I

-Z -E: Cl > F > Br > I

3) Bond energy: Cl2 > I2 > Br2 > F2

h:

Cl2 > I2 > Br2 > F2

4) Electronegativity: F > Cl > Br > I

N-u--t-:

F > Cl > Br > I

131. At a given temperature the noble gas with lowest vapour pressure is

EKg g-v l up p- o --
1) Ne

2) Ar

3) Kr

4) Xe

132. To detect ammonium ion in the laboratory the reagent used is

v t-E - Jh-E -T

1) HgI2

2) HgCl2

3) K2 HgI4
4) K2 HgI4 + KOH
133. The process of percolating an acid or an aqueous solution over a finally
powdered mineral is called

~ t N-> E O- xEo -v--Eo E-Eo J-T

lAE -?
1) Smelting
2) Leaching E~-
3) Poling L
4) Zone refining Jj-E

134. Phosphorous present in an organic compound is detected by using X in the form

of 'Y'. Where X and Y respectively

s t-- o p-
X, Y -

'Y'

-n Jh-h. \

1) (NH4)3 MoO4, (NH4)3 PO4.12 MoO3

2) (NH4)2 MoO3, (NH4)3 PO4.MoO3

3) (NH4)2 MoO4, (NH4)3 PO4.12 MoO3

4) (NH4)2 MoO3, (NH4)3 PO4.12 MoO3

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135. An alkene on ozonolysis gives only ethanal. The ozonolysis products for its chain
isomer are

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M\ -F-- Ch - v p-C. M\ -\
% %uE - --- p-o
1) Propanal, ethanal v-, - 2) Propanal, methanal v-, N-
3) Propanone, methanal v-, N- 4) Propanone, ethanal v-, -

136. Which of the following is not a green house gas?

C- J % EC?
1) CCl2 F2

2) H2O(g)

3) O3(g)

4) O2(g)

137. Which of the following reacts with Tollens reagent and liberates 22.4 lit of a gas
per mole at S.T.P. with CH3MgBr?

C C
_JhC?

CH3MgBr

u--C

S.T.P.

22.4

1) CH3 C C CH3

2) CH3 C CH

3) CH CH

4) CH3 CHO

M/ -

138. The number of stereoisomers possible for 4 chloro 2 pentene are

4 x 2

1) 4

uu v-P %-u u
2) 2

3) 3

4) 8

KNO2
PCl5
139. C2H5OH X Y. The bond which is absent in 'Y' is
PCl5

KNO2

C2H5OH X Y. \ 'Y'
1) C C

2) C O

3) C N

4) N O

140. Oedema in legs is caused by the deficiency of

C- N-N x x C- F -C?
1) B1

2) B2

3) B5

4) B7

141. Which one of the following can be used as antioxidant for foods?

C- Eo -n vA--q--- --T-h?
OH

COONa

CH3

OH

C(CH3)3

1)

2)

3)

OCH3

CH3

4)

Cl

CH3

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HO CH3
CH3

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142. The number of radial nodes for an orbital of potassium containing differentiating
electron are

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- ---J -Z o Js- - u

1) 4

2) 3

3) 2

4) zero

143. The uncertainties in finding position of proton and particle are same. The
ratio of uncertainties in finding their velocities is

v, nEo -\-- E-Pa--y --i- Eo -\- E-Pay EpAh

1) 1 : 2

2) 2 : 1

3) 1 : 4

4) 4 : 1

144. The covalent radius of chlorine is 0.99 A. It's Vanderwaal's radius is

approximately

xJ ---F ul
1) 3.6 A

0.99 A.

2) 1.8 A

--E ul -

3) 1.98 A

4) 3.0 A

145. Among the following bond angle is highest in

C- - u-C- oC

1) NO2

2) NH4

1 Cl
146. I) Na(s) +
2(g) NaCl(s)
2

1
III) Cl2 Cl(g)
2
(g)

3) H3O

4) CH3

1 Cl
II) Na(s) +
NaCl(g)
2 2(g)

+
IV) Na (g) + Cl (g) NaCl(s)

The number of endothermic and exothermic reactions in the above list

respectively are

j g-v-, g-- u u -
1) 2, 2

2) 1, 3

3) 3, 1

4) 0, 4

147. A metal nitride has 72% metal by weight. The molecular formula of the nitride is
M3N2. The equivalent weight of the metal is

jwj- 72% C. jwj t

u
1) 12

2) 24

3) 72

M3N2

4) 48

148. With increase in temperature the fraction of total number of molecular of gas
having following velocity decreases?

2) C

g-v J Dl h x C o _-C?
1) Cp

3) C

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4) All

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149. The ratio of volumes of 0.1 M H2O2 required to reduce 100 ml of 0.1 M KMnO4
in acidic and dilute alkaline medium respectively

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x, NM ~ x 100 NMx-M-x 0.1 M H2O2 v- u 0.1 M KMnO4

v --J EpAh
1) 2 : 3

2) 5 : 3

3) 3 : 5

4) 3 : 2

150. 5 gm of an electrolyte A3B2 (MW = 100) in 250 gm water freezes at

0.74 C. If Kf of water is 1.85 Km1, the percentage ionisation of the electrolyte is
5

v A3B2 Nu-Cy-xu (.. = 100) 250 v F J-T-.

v F-- g-v 0.74C Nu-Cy-xu F--
(F Kf N = 1.85 Km1)
1) 25%

2) 50%

3) 75%

4) 100%

151. For an electrochemical cell MM +X X, E M+ M = 0.56 V and E X X =

/
/
0.26 V. The correct statement regarding the cell is
0

Nu - MM + XX
0
E X X = 0.26 V o. C- j uu
/
1) M can oxidise X
X E M q--J-hC
2) X can reduce M +
M + E X ~--J-hC

E M+ M = 0.56 -V,
/

3) M + X M+ + X is spontaneous reaction
M + X M+ + X C

ya u

4) M + X M+ + X has standard e.m.f. of 0.82 V

M + X M+ + X \

e.m.f. N 0.82 V

152. In electrochemical corrosion the metal undergoing corrosion

'Nu - ~ vv ~
1) Acts as anode
- Eh-C
2) Undergoes oxidation q-- --C
3) Undergoes reduction ~-- --C
4) Both 1 and 2
1, 2 -

153. A metal is crystallised in B.C.C. lattice. It's unit cell length is 3 A. The
distance between nearest neighbours of metal atoms is
B.C.C. Et LT C. E E 3 A

A--O- o --- u

1) 3 A

2) 1.5 A

3) 0.75 A

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4) 2 A

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154. Choose the correct statement from the following

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C- j uu Jh.

1) The molecularity can't be defined for a complex reaction

x-d u - Ey-*-

2) Molecularity may be zero (or) fractional

o () Got N-- LT -a

3) Order of a reaction can be known from reaction mechanism

u \ v-Eo u N * \-a

4) Order and molecularity are never same for elementary reactions

v-N u , v N p .

155. In a reaction 2 SO2 + O2

2 SO3, the partial pressures of SO2 and SO3 are
same at equilibrium. If the equilibrium constant of the reaction is 10 atm-1, the
equilibrium pressure of oxygen gas is

u SO2, SO3 u --nA -

o. u \ --nA n N 10 t-p--1 , q- \
--nA N
2 SO2 + O2

1) 76 mm of Hg

2 SO3 -

2) 760 mm of Hg 3) 38 mm of Hg

4) 380 mm of Hg

156. Assertion (A): H2O boils at higher temperature than H2S

%-uu (A): H2O -J g-v

H2S C
Reason (R) : H2O is thermally stable than H2S.

(R): H2O g ny

H2S C.
1) A and R are true, R is the correct explanation of A.
A, R j-N, A R j

N-.

2) A and R true, R is not the correct explanation of A.

A, R j-N, A R j

3) A is true, R is false.
4) A is false, R is true.

N- .
A jC, R jC .
A jC , R jC.

moist
Moist
CH3COCH3 X + Z
CaOCl2
CaOCl2
The functional isomer of the product formed by the distillation of 'Z' is
'Z' E y Ch p p-o-E v %u
1) Propanal
v-
2) Propanol
v-
3) Propane
v-
4) Ethenol
C-

157. C2H5OH

X + Y

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NH

158. H3CCO2H

X, where 'X' is

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NH3

H3CCO2H X, \ 'X' C
1) H3CCONH2
2) H3CCO2NH4
3) CH3 CH = NOH
4) CH3CH2NC
159. Diazotization test is used to detect which one of the following compound?

- -j-- K~ --T* C- Eo Jh-h?

OH

NH2

1)

160. Nucleic acids are

1) Polysaacharides
3) Polypeptides

COOH

CHO

2)

3)

ux- x
M---j-
M--kd-

2) Polynucleotides
4) Triglycerides

4)

Mux--j-
wjTx--j--

KEY

MATHEMATICS

1) 1 2) 2 3) 1 4) 3 5) 1 6) 3 7) 1 8) 1 9) 2 10) 4 11) 4 12) 3 13) 1 14) 1 15) 2 16) 3

17) 4 18) 2 19) 4 20) 3 21) 3 22) 3 23) 2 24) 2 25) 4 26) 3 27) 4 28) 3 29) 1 30) 1
31) 3 32) 3 33) 3 34) 2 35) 2 36) 3 37) 1 38) 4 39) 2 40) 2 41) 1 42) 2 43) 3 44) 2
45) 4 46) 1 47) 2 48) 3 49) 3 50) 1 51) 1 52) 2 53) 2 54) 4 55) 3 56) 4 57) 2 58) 1
59) 2 60) 2 61) 3 62) 2 63) 4 64) 1 65) 3 66) 1 67) 1 68) 2 69) 1 70) 2 71) 1 72) 1
73) 2 74) 3 75) 1 76) 3 77) 1 78) 1 79) 3 80) 3
PHYSICS
81) 3 82) 2 83) 3 84) 1 85) 2 86) 4 87) 1 88) 1 89) 3 90) 2 91) 1 92) 1 93) 4 94) 1
95) 2 96) 2 97) 2 98) 1 99) 2 100) 4 101) 2 102) 2 103) 2 104) 4 105) 2 106) 3
107) 1 108) 3 109) 4 110) 3 111) 1 112) 4 113) 2 114) 1 115) 3 116) 1 117) 1
118) 2 119) 3 120) 1
CHEMISTRY

121) 1 122) 3 123) 3 124) 2 125) 1 126) 1 127) 1 128) 2 129) 3 130) 3 131) 4
132) 4 133) 2 134) 3 135) 3 136) 4 137) 2 138) 1 139) 2 140) 1 141) 2 142) 2
143) 4 144) 2 145) 1 146) 2 147) 1 148) 4 149) 2 150) 1 151) 3 152) 4 153) 2
154) 1 155) 1 156) 2 157) 1 158) 2 159) 2 160) 2.

(- -v-o-v-Eo -N------E -X-j--u -N-un- -E-- --C-.)

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