www.examrace.com

··
.....

. ··

·.

. ... .
. .. .

SOL'VEID PAPER 2013
(Memory .Based)
.... :: .. ·... ·. .·... :·

:

MATHEMATICS
1. If a, p are t!-le roots of ax2 + bx + c

1

then -~·-

= 0,

1

13

are the roots of

8. The mean of a· binomial distribution is 5, then its vari;:mce has to be
(a) > 5

(b) = 5

=0

a

=o

(c) < 5
(d) = 25
9. If a is the single A.fyl. between two numbers

(c) cx 2 + bx + a

=0

a and b and Sis the sum of n A.M.'s between

=0

them, then A depends upon

2

(a) ax
(b) cx 2
(d) ax

-

-

2

bx + c bx +

bx - c

-

s

2. The number of real roots of the equation
(x - 1)2 + (x - 2)2 + (x - 3)2 o is
(a) 1
(b) 2

=

(c) 3
3. If

(d) None of these

s· is

the set containing values of x

satisfying

rX)' - 5[ XJ+ 6 :S 0 ,

(2, 4)

(b)

(2, 4j

(C)

[2, 3]

(d)

(2, 4)

4. Seven people are seated in a circle. How many relative arrangements are possible?

(a) 7!
(c) 7p s

(b) n, a

(c) n, b
1

1

(d) n
,

,

10. 2< 46 siG1632 ... upto oo equal to
(b) .2

(a)

Where [X)

denotes GIF, then S contains

(a)

(a) n, a, b

5.
(d) -

3
2

(c) -

2

11. The odds in favour of India winning any cricket match is 2 : 3. What is the probability that if India plays 5 matches, it wins exactly
3 of them?

(b) 6!
(d) 7Ce

5. In how many ways can 4 people be seated on a square table, one on each side?
(a) 4!

(b} 3!

(c) 1

(d} None of these

6. Four different items have to be placed in three different boxes. In how rnany ways can it be done such that any box can have any number of items?
(a) 34

(c)

(b) 43

·

6

(a)

4

7

- or31
31

·.· ..

rs

n

(b) 6
(d) 10

(c) 8
2

3

13. 1+sinx + sin x+sin x+ .. . = 4+2J3,

0 < X < ;r,
7t

;r
X Y: -

2

then X =

7[

(a) 6' 3 it 571:

(b)

6' 6

7
(b) 31

6
(a) 31

s3n .

S

equal to

(d) ~c3

4p 3

7. What is the probability that, if a number is randomly chosen from any 31 consecutive natural numbers, it is divisible by 5?

(c)

.

12. For an A.P.. 8 20 = 3 Sn. The value of

(c)

3' 3

(d) None of these

(d)

3' 6

n 2n
7[

5n:

www.examrace.com

www.examrace.com

SOLVED PAPER 2013

2

14.

~~ (log xf'"

I.

"

n!

"'-o

(a)

21. The number of values of c such that the straight line y = 4x + c touches the curve

:::

x2

=

e(O, 1)

(c)}, E(-~.-~)

=1

(b) a circle
(d) a hyperbola

/z -1' l =·4 i( 24. The points of z satisfying arg .z + 1)

i(

lies on

4

(a} an arc of a circle (b} a parabola

(d) 2n;r+ - , n EZ

(d) a stra ight line.

(c) an ellipse

25. The coefficients of the (3r}lh term and the
(r + 2)th term in the expansion (1 + x)2n are equal, then
(c} n

(b) 0

26.

=2r

(b) n =3r
(d) None of t11ese

= 2r + 1
3

5

7

s = 1+ '1! + 2i + 3! + ...

0::.

=

(b)

2M

(a) 3

(b) 6

J14 y2 (b) e
(d) 3e

=

12x, then k

=

Sin-=

2

1

(a)

2

J5

(b) 3
1

(d)

J2

:.: .

28. 2tan-' ( % =
)
(a)

(c) 9
(d) None of these

L':IABC, then

.A

/32
(c) ~ 35

(d) 3

=k is normal to

(a) 2e

27. If a = 13, b = 12, c = 5 in

7
(C) (d) None of these
8
19. The iength of the y-intercept made by the circle x2 + y2 - 4x - 6y - 5 0 is
(a) 6

( f\

G) =k,

(c) an ellipse

(c) e- 1

7

20. If x + y

(d) -!2

(a} n

(a) 9

(c)

.[2.

(b)

k is a non-zero real number, is

(d) None of these

5

=

(a} a straight line

--

r

1(1+ i)(1 + J3i)l

23. Locus of the point z satisfying Re

18. LetA= (3, -4), 8(1, 2) and P = (2k -1. 2k + 1) is a variable point such that PA + PB is the minimum. Then k is
~'

22.

!

(d) None of these

33
(b) 10

33
(c)

. .J3 + i

(a) 1

· 17. The distance between the lines 3x + 4y = 9 and 6x + By + 15 = 0 is
3
(a) 10

(d) infinite

!

E-~. 1)
(

(/)) n;r + ~ n EZ
4'

(~)

(IJ) 1

(c) 2

(c) 2

(b) A.

2
3
16. Set of values for which tan x - tan x
1+tan3xtan2x
is true is
(a) c)l

1 is

(a) 0

15. The ends of a line segment are P(1, 3) and
0(1, 1). R is a point on the line segment PQ such that PR : QR = 1 : i,. If R is an interior point of the parabola y2 4x, then

(c)

=

4

(c) log 0 (1+x)

(a) /,

2

-+ Y

x2

...; 24
25

Sll1

25

(c) cos "' ( 24)

. _, 12
({)) Sin

-

13

·
(d) cos-' ( 12)
13

...

' ·-:r.

: ·:.

www.examrace.com

www.examrace.com

. .. .. .. . -·
.

~.:

..

..

3

SOLVED PAPER 2013

29. Two pairs of straight lines have the equations y 2 .,. xy - 12x2
0 and ax2 + 2hxy + by2
0 . One lin e w ill be common among them if

=

=

dy
-at
dx
(a) 0

=-3(2h + 3b)

(a) a
(b)

36. Let y = log sin (X

a = 8(h - 2b)
(c)

(d) Both (a) and (b)

30. If a circle passes through tht; point (3, 4) and cuts x2 + y2 = 9 orthogonally, then .the
•.
locus of its centre is 3x + 4y 1 Then I. =

(a) 11

(c) t

l

31. For what value of x. the matrix A is singular

2

2

= 1, 2

(d) X

= 0,

2 = 0, then its third root will be

(c) 2

(d) None of these

33. Period of f (x)

= sin

x + cos·1 x

(c)

(c) 2n

(d) None of these

2

. -~-.

(c) (- oo, OJ

(d) (- oo, O)

COS ( 1 - COS X)

X4

3

'•

.

(b) x e R - {1}
(d) X E

~

E

(1, co) expression J5 + 3

41. If sinO= 3sin (O+ 2a), then the value of

(b) (-co, 1)

2

R•

.
. . . ..

tan(B+ a )+ 2tana is

(a) (-co, co)

(c)

1

(d) None of these

34. The ;ange of loge (sin x)

1
8

=- 73

(b) 2.J5- 3

(b) -

-

(d) t

(a) 2JS + 3
4

(a) rr

(a)

= J3

40. Maximum value of the
2sinx + 4cosx + 3 is

7f

·v

1

(b) t

(c) b e (1, co)
(d) b

(b) 14

1

.

t tangent is

(a) b e (-1, 1)
(b) b E (-'" 1)
..o,

(a) -9

1-

=t2 -

f(x) = sinx - bx + c is a strictly decreasing
.
· function 'd x e R is

3

7 6 X

X··•O

1
=2
=x

(C) X e

'x 3 7

35. Lim

(d) .[;

39. The value of b for which the function

32. If 7 and 2 are two roots of the following equation x (b) 1

(a) x e R

(b) X

=

(a) x 0, 2
(c) x = 2, 3

2

2

3 38. f( x)
6 x 2 + 12x - 16 is strictly decreasing for

4-x.
1
-4
-1-x

-2

J;c .

(a) t = 0

(d) 23

[

. The value of

X = - IS

-4

(b) 13

(c) 17

2

0 < x .s ~

37. For the curve x = t2- 1, y parallel to x-axis where

=

3- X

).

7f

(c) a= 2 (b' + h)

A=

2

is equal to
'

1

(b) - -

(a) 3
(~

42.

(b) 2
(d) 0

1

A=[~ ~J B = [~ ~]then I(BTAT(
. is equal to

I

.· ..

8

(d)

3
2

(a) 10

(b) 10

(c)

(d) -1

www.examrace.com

. .

.

.

www.examrace.com

45. The value of c of mean value theorem when

dy

43. If J 1 + x 2 + ) 1 + y 2 =a then find dx =

g

(a)

3

f(x)=x -3x - 2 in [-2, 3] is

2

X /1 + Y
(b) - - . ·-··- --;; y , 1+ x·

(c)~

(7

(a) ~3

(b)

=

(a)

3-

(d)

44. Length of the subtangent to the curve y e"-'• is

{3 v7 (c)

(d) None of these

.J3
7"

(b) a

ex~•

2

(d) None of these

(c) a

.J7

PHYSICS
46. A gold coin has a charge of +1 o~ C. The number· of electrons removed from it is
(a) 1O
G

(b) 625

1010

X

49. The current I and voltage V graphs for a given metallic wire of two different temperatures T, and T 2 are shown in the following figure . It is concluded that

t

(c) 1.6 x 10-25
(d) 1.6

X

10-

13

47. A small sphere of mass m and electric charge q, is suspended by a light thread. A second sphere carrying a charge q2 is placed directly below the first sphere at a distance
'd' away. Then
(a) tension in thread may reduce to zero if the spheres are positively charged

(b) tension in thread may reduce to zero if the spheres are oppositely charged
(c) tension in thread can never be zero
(d) tension in thread is independent of the nature of the charges

48. A pitch ball covered with a tin foil having a mass m kg hangs by a fine silk thread of length r metres in an electric field E. When the ball is given an electric charge of q coulomb, it stands out d metre apart from the vertical line. The magnitude of an electric field will be mgd mgd

(a)

Jr2- d2

{b)

(c)

-~~-( q J(2 -d'•

{d)

(b) T, < T 2

(c) T,

(d) T1

=T

1

= 2T

2

50. The resistance of a 20 em long wire is 5 n.
The wire is stretched to form a uniform wire of 40 c·m length. The resistance now will be
(a) 5

n

(c) 20

{b) 1

n

on

(d) 200

n

51. If a copper wire is stretched to make its radius decrease by 0. 1 %, then the percentag~ increase in its resistance is approximately (a) 0.1%

(b) 0.2%

(C) 0.4%

(d) 0.8%

52. When a charged particle is acted on only by a magnetic force, its

... . . .

(a) potential energy changes

qt mgr q(

v~

(a) T, > T2

Jr2- d2 )

(b) its kinetic energy changes
(c) total energy changes
(d) energy does not change

·~;-:_

· ... ·· : ..

.. .. ... .

.

:~:
',

·.
.

www.examrace.com

. · .. .

www.examrace.com

.
.~

~:

..... . .

:; .. . .-

.-_ .
5

SOLVED PAPER 2013

53. A positively charged particle projected towards east is deflected towards north by a magnetic field. The field may be
(a) towards west

(b) towards south

(c) upwards

(d) downward

54. The permanent magnetic moment of the atoms of a material is not zero. The material

(c) must be ferromagnetic
(d) may be paramagnet_ic

55. A paramagnetic material is kept in a magnetic field. The field is increased till the magnetization becomes constant. If the temperature is now decreased, the magnetization
(a) will decrease

(b) will increase
(c) remain constant

56. A metallic wire bent in form of a semi-circle of radius 0.1 m is moved in a direction parallel to its plane, but perpendicular to a magnetic field 8
20m T with a velocity of
10m/sec. What is the induced e.m.f. in wire?

=

o-J Volts
1

(c) 4 x 10- Volts

(b) 4

wavelength 5000
(a)5x10·5

X

1

o-2

Volts

(d) None of these

57. A glass rod of length .e moves with a velocity

The w idth of the slit is

(b) 1 0

x

1o-s em

(d) 1.25 x1 o-s em

(a) 1.2 em

(b) 1.2 mm

(c) 2.4 em

(d) 4 .8 mm

62. A concave mirror of focal length F produces

(a) Zero

(b) 0.01 volts

(c) 2f

(d) None of these

200 V 50 Hz A.C. supply. the peak current through the circuit is
(a) 0.6 A

(b) 0.6J2 A

(c) ( 0.6,/2) A

(d)

0.6~ A

59. An alternating voltage E = 200J2 sin (100t) is connected to a 1 ~~F capacitor through an A.C. ammeter. The reading of the ammeter shall be

.,.

(b) (n + 1)F

n+ 1 n-1 (c) F
(d) - F n n
63. An object is placed at a distance of 2f from a concave mirror. Light reflected from the mirror falls on a plane mirror. The distance of the plane mirror from the concave mirror equals f. The distance of the final image from the concave mirror (due to reflection at both concave and plane mirror) is
(a) f

58. A 10 ,uF capacitor is connected across a

.....

a real image n times the size of the object
The distance of the object from the mirror is (c) 0.1 volts

-~··.

A.

6~. A beam of light of wavelength 600 nm from

v in a uniform magnetic field 8, what will be the emf induced in the rod

;•.

cm

(c) 2.5 x 1 0·5 em

(a) (n- 1)F

(d) may increase or decrease

(a) 4 X 1

slit diffraction is at 0 = 30° for a light of

a distant source falls on a single slit 1.00 mm wide and the resulting diffraction pattern is observed on a screen 2 M away. The distance between the first dark fringe on either side of the central maxima is

(a) must be paramagnetic
(b) must be diamagnetic

·:

60. The first diffraction minima due to a single

f

(b) 2
(d) zero

64. A body starts from rest and moves with a uniform acceleration. The ratio of the distance covered in the nth sec to the distance covered in n sec is

2 1
(a) ;;- - n2

1

2
1
(c) __ _ n2 n

1
(d) ;;-- n2
..

65. The range of a projectile when launched at angle '

e is same as when launched at angle

20 . What is the value of e?

(a) 10 rnA

'(b) 20 rnA

(a) 15°

(b) 30°

(c) 40 rnA

{d) 80 rnA

(c) 45°

(d) 60°

www.examrace.com

..

'

.

www.examrace.com

66. A balloon is descending at a constant acceleration a. . The mass of the baloon is
M. When a mass m is released from the balloon, it starts rising with the same acceleration a. . Assuming that the volume does not change when the mass is released, what is the value of m ?

-~ M cr+g (a) _ cr_ M

(b)

(c) a+gM

71. According to Bohr's theory, the radius of the nth orbit of an atom of atomic numbar Z is proportional to

{c)

(d) a+gM

cr + g a ·0

v
(b) pg

v
(c) 2 11q
(d) 2pg
68. Under the action of a force, a 2 kg body moves such that its position x as a function

of time is given by x =

undergoes fission ?

(a) 1,600 J

{b) 160 j

(c) 16 J

(d) 9 x 1013 J

73. The alternating current gain of a junction transistor in common base arrangement is
0.98. What is the change in the base current corresponding to a change of 5 mA in the emitter current and a change of 4.9 mA in the collector current?
(a) 0.1 mA

(b) 0.2 mA
(c) 0.3 mA
(d) 0.4 mA
74. Fig. shows a uniform solid block of mass M

(d) 1.6 j

and edge lengths a, b and c. Its M.l about an axis through one edge and perpendicular
(as shown) to the large face of the block is

69. Three particles of mass M each are placed at corners of an equibterol triangle of side
'd' If the sides are increased to '2d' then
(a) The P.E.

=

(b) 9x1011 J

(a) 9x10 10 J

e
3 where xis in metre.

and tin second. The work done by the force in the first 2 s is

;;su undergoes fission . 0.1 % of its

much ener9y is released if 1 kg of ;~ 5 U

on a conveyer belt moving with a speed v.
The coefficient of friction between the block and the belt is fl. Through what distance

(a) pg

.... ..

original mass is changed into energy. How

2a

will the block slide on the belt ?

(d) n2z2

z

72. When

67. A heavy block of mass M is slowly placed

. ·._ ;.:~

n

-3GM 2 d 2
3GM 2

{b) Work done = ~
GM 2
{c) Work done = ~

[)

M
2
(a) - (a?. + b )

-3GM

(d)

3

P. E. =2(j

M 2
")
(b) - (a ·+· b"

70. The de Broglie wavelength of a neutron when its kinetic ener9y is K, is '),. What will be its wavelength when its kinetic energy is 4k?

. .

... .
. .

12

(b) 2

(c) 2;l

.

(c) 7M (a2 + b2)

).

{a) 4

.

4

(d) 4;l

(d)

~(a2 +b'2 )
12

.·.·:·-·.·
· -::~:

;

·. .

·::, · · · . -·· -· ·.

: .·::

. ··· ..· ·
...

www.examrace.com

www.examrace.com

7

SOLVED PAPER 2013

75. A thick walled hollow sphere has outer radius
R. It rolls down an inclined plane without slipping and its speed at the bottom is u .·If the inclined plane is frictionless and the sphere s!ides down without rolling, its speed at the bottom will be 5u f 4 . What is the radius of gyration of the sphere?

(a)

(C)

R

~2

R
(b) -2

3R

(d) _
J3R

-~

4

forbrass =0.9x10 N/m

(b) 210Hz
(d) 215Hz

82. Three rods made of the same material and

76. How much force is required to produce an increase of 0.2% in the length of a brass wire of diameter 0.6 mm? (Young's modulus
2

(a) 200 Hz
· (c) 205 Hz

4

11

81. A tuning fork vibrating with a sonometer having 20 em wire produces 5 beats per second . The beat frequency does not chang e, if the length of the wire is changed to 21 em. The frequency of tuning fork is

)

having the same cross-section have been joined as shown in the fig. Each rod is of the same lengtl1. The left and right ends are kept at and respectively. The temperature of the junction of the three rods will be

o·c

(a) nearly 17 N

go•c

o·c ______/' go·c

(b) nearly 34 N

~go·c

(c) nearly 51 N
(d) nearly 6 8 N

77. A liquid drops at temperature T. isolated from its surroundings, breaks into a number of droplets. The temperature of the droplets will be (a) equc l to T

(a) 45•c

(b)

3o•c

(d)

(c)

83. If y be the ratio of specific heats of a perfect gas, the number of degrees of freedom of a molecule of the gas is:

(b) greater than T

25
2

\

(c) less than T

(a) -ty - 1,

(o) either (a), {JJ), or (c) depending on the surface ten sion of the liquid

(c)

78. In SHM the net force towards mean position is related to its displacement (x) from mean position by the relation

(a) F ·r.. X

(c) F o: x2

: •,

1
(b) F oc{o) F oc x2

X

1

79. The acceleration (a) of SHM at mean position is (a) zero

·'

·'
: ~:

.

(c) u::x

2

(b) o::x
(d) None of these

80. When the temperature of air rises by 3 K from 300 K, what is the percentage rise in the velocity of sound?

Go·c
2o·c

(b)

2 y -1

3y -1
2y -1

9
2

(d) -(y--1)

84 . An ideal gas heat engine operates in Carnot cycle between 22rc and 127•c. It absorbs
6

X

1o• Cal Of heat at higher temperature.

Amount of heat converted to work is:
(a) 2 .4 x 10' cal
(b) 6 x 10.: cal

(c) 1.2 X 1o• Cal

(a) 4.8 x 10·:

cal

-.-_ .

85. In a room where the temperature is 3o·c. a body cools from 61 oc to sg•c in 4 min. The time (in min) taken by the body to cool from
51 oc to 49•c w ill be

(a) 0.5%

(IJ) 1%

(a) 4

(b) 6

(c) 2%

(o) None of these

(c) 5

(o) 8

www.examrace.com

www.examrace.com

CHEMISTRY
86. The energy of first excited state of Li2• will be (a) 13.6 eV
(b) 27.2 eV
(c) 30.6 eV

(d) 40.8 eV

87. Which of the following phenomena will occur when two atoms of the elements having same spin of electron approach for bonding?

(a) Orbital overlap wi11 not occur
(c) Both (a) and (b) are correct

88. The number of octahedral sites per sphere in fcc structure are

(c)

(b)

2

4

(d) 1

89. Due to Frenkel defect, the density of ionic solids (a) decreases

(b) Y will oxidize Z and not X
(c) Y will oxidize both X and Z

.

........

(d) Y will reduce both X and Z
94. The rate constant of .a chemical reaction can be increased by
(a) decreasing the temperature
(b) increasing the temperature
(c) increasing concentration of reactants

temperature
2N2 0 5

degr~~e of

Np5

-)

....c;

dissociation 'a' can be given as

4N02 + 0 2

1

2N02 + - 0 2
2

i- 1
(a) a = x + y -1

If E, and E 2 represents the activation energy for the first and second reaction respectively then (b) i=(1-a)+ xa+ya

(a)

1-i
(c) a=1-x-y

(c) E,:::: 2E2

when
(a) temperature of sink > t::rn,·Pr dture of source (b) temperature of source > temperature of sink (c) the difference between temperature of source and sink is very high

(d) E,

= E2

(a) sulphur

(b) As 2 S 3
(c) gold sol
..

(d) starch

.. · :.

·... ·... .

. ...
.
. .

97. In P~0 1 0 the number of oxygen atoms attached to each phosphorus atom is
{a) 2

(b) 3

(c) 4

(d) None of these

... '

(b) E, < E2

a hydrophilic colloidal sol?

91. The efficiency of a heat engine is m:aximum

· :>.~- ~""··

E, > E2

96. Which one of the following is an example of

(d) All of these

'

..

93. A gas 'X' at 1 atm is bubbled through a solution containing a mixture of

(d) change depends on crystal structurre

..:;

•• •

(d) decreasing concentration of reactants

(c) does not change

.. ~·

t

95. Consider the two equations at a particular

(b) increases

90. For the given electrolyte A.BY, the

(b) 1 :. 2 : 3
(d) 6 : 3 : 2

(a) Y will oxidize X and not Z

(d) None of these is correct

(a) 8

(a) 1 : 1 : 1
(c) 3 : 2 : 1

1M y- and 1M z- at 25° c. If the standard reduction potential of Z > Y > X, then

(b) Bonding will not occur
-~"
:•

92. If three faradays of electricity is passed u·,mugh the solution of AgNO~ , CuS04 and
AuCI~ , the molar ratio of the cations deposited at the cathodes will be

(d) 5

-.· ··

·-····

..

'

..

www.examrace.com

www.examrace.com

'

.

~

.. .

~ ·~

'•

.•

.

'

.. . '

•'

. ..

!'· ·

9

SOLVE·D PAPER 2013

98. Which of the following compound acts both aH an oxidising as well as reducing agent?
(a) S0 2
(c) Alp 3

106. Phenol and benzoic distinguished by

(b) Mn02
(d) Cr03

(c) CuS04 .5Hp

(c) aqueous NaOH
(d) FeS0 4 .7Hp
(b) Yb

(c) Prn

(d) Eu

101. When ~~AI is bombarded with a particles,

;;p with

a radioactive isotope of phosphorus the emission of .... is formed
(a) n•=utrons
(b) protons
(d) electrons

(b) 12 hours
(d) 48 hours

(a) [Cr(Hp)6 ]3'

(b) [Fe(Hp)6 ]2'

(c) [Cu(H,0)6 )"'

(d) [Zn(Hp)6 ]2'

104. Which of the following will form an octahedral complex? d·~ (low spin)

(c) d6 (low spin)

(b) d 9 (high spin)
(d) all of these

105. The correct statement about A, B, C is

:+=::f:~f:
CXX::H

~

~

(A)

(8)

(C)

(a) A and B are identical

o-

o-

o-

o-

%

~

f"..q

©$$$
I

II

Ill

IV

(a) I > II > Ill > IV
(c) I > !I > IV > Ill

(d) II > Ill > IV > I

108. When acetaldehyde is heated with Fehling's solution, it gives a precipitate of
(a) Cu

(b) CuO
(c) Cu + Cu2 0 + CuO
(d) Cup

103. Which of the following has the highest paramagnetism? (a}

107.

(b) IV > I > II > Ill

102. A fre~;hly prepared radioactive source of half life period 2 hours, emits radiations of intensity which is 64 times the permissible safe level. The minimum time after which it would be possible !C? work with this source is (c) 2,~ hours

(d) cone. H2 S04

(b) CuS04 .7Hp

(a) Sn

(a) 6 hours

be

(b) aqueous NaN03

100. Only lanthanide which is radioactive is

(c) p•Jsitrons

can

(a) aqueous NaHC03

99. Green vitriol is
(a) CuSO~,

acid

109. The f.Jrincipal organic product formed in the reaction CH2 is =

CH(CH2 ) 8 COOH+ HBr

Pt!roxido

(a) CH3CH(Br}(CH2) 8 COOH
(b) CH2

= CH(CH

2) 8

COBr

(c) CH2Br(CH2 ) 9 COOH
(d) CH2

=

CH(CHJ7 CHBrCOOH

110. Secondary nitroalkanes on treatment with nitrous acid form
(a) nitrolic acids

(b) carboxylic acids

(c) pseudonitroles

(d) ketones
111..1n HS-, t-, R- NH 2 , NH3 , the order of proton accepting tendency will be

(a) 1 >NH3 >R -

NH2 >HS-

NH2 > Hs- > r

(b) A and B are diastereomers

(b} NH3 > R -

(c) A and C are enantiomers

(c) R- NH2 > NH3 > Hs- > r

(d) A and B are enantiomers

(d) HS- > R- NH2 > NH3 > 1-

www.examrace.com

www.examrace.com

112. In vulcanisation of rubber

119. 1 + r
2

(a) sulphur reacts to form new compouncl
(c) sulphur forms a very t11in protective layer over rubber
(d) All the statements are correct

113. Which of tt1e following does not represent a

(c) 2.00

(a) Maltose

(/J) Sucrose

(c) Lactose

(d) Dextrose

120. At 90" C, pure water has [ H'

a metal atom?
(a) Riboflavin

(c) 1Q-12

(/J) Vitamin 8, 2

(c) Vitamin A

(d) Vitamin B6

(d) IQ- 14

(IJ) Cu(N0~)2
(d) KN0 3
122. Which of the following is heterocyclic aromatic species?
(c) .AgN03

· (d) anti-malarial

(a)

(a) law of definite proportions

0

(IJ)

0

(/J) law of multiple proportions
(c) law of reciprocal proportions
(d)

(d) experimental observation

n1 v 0
N

I
H

117. One titre flask contains air, water vapour and

123. Which of the following halides undergoes

small amount of liquid water at a pressure of 200 mm Hg. If this is connected to another
. one titre evacuated flask , what will be the final pressure of the gas mixture at equilibrium. Assume the temperature to be
50° C.
(Aqueous tension at

J= 1o-" M. The

(a) Pb(N03) 2

(/J) sedative

derived from

-•>

....

heating

116. Gay lussac's law of gaseous volume is

·:-•

. . ·.,

121. Nitrogen dioxide cannot be obtained by

115. Verona!, a barbiturate drug is used as
(a) antihistamine

..

value of Kw at 90° C is
(a) 1 Q-G ·
(/J) 1o-a

114. Which one of the following vitamins contains

(c) antiseptic

(b) 2.66
(d) 3.00

(a) 1 .33

disaccharide?

. · ....-

1;

This reaction is set up in aqueous medium.
We start with 1 mole of!, and 0.5 mole of lin 1 L flask. After equilibrium, the excess of
AgN0 3 gave 0.25 mole of yellow ppt. Then the equilibrium constant is

(/J) sulphur cross !inks are introduced

.·;

~

nucleophilic substitution most readily?
(a) p- H3 CC6 H.P

(!J) o - MeOC.,H_,CI
(c) p- CIC 6 H"CI
(d) C6 H5 Cfi(CI}CH3

soc C =93 mm Hg)

124. Dumas' method involves the determination

(a) 120.56 mm

(b) 230 mm

of nitrogen content in t11e organic compound in the form of

(c) 146.5 mm

(a} NH3

(b) N2

(c) NaCN

(C(l

(d) 109.4 mm

carbonates by (NH)2C0 3 . Why can we not use Na 2C03 in stead of (NH.;)2 C03 ?

among the following anions would be

(a) Se 2- , 1 sr·. F·,
-.

(NH4 ) 2 SO_,

125. Group V cations are precipitated in form of

118. The correct order of decreasing ionic radius

o2 ·

(a) Because Na 2 C03 will precipitate MgC03

(b) F-. Br- , o'- · , Se 2 · , 1
·

(/J) Because Na2 C03 is insoluble in water

(c) I", Se'-· , Br- , 0 2 · , F .

(c) Because it is an ionic compound

(d) F-, 0 2 -, sr· . Se 2 ·

(d) None of these

,

t·

..

.

.. ..

.

. ~:

..

~-:

. . '>.

www.examrace.com

www.examrace.com

11

SOLVED PAPER 2013

LOGICAL REASONING
126. In a certain code language MADRf\S is coded as ' ARSARS', th en how will 'MUMBAI' be coded in t11at language?
(a) U B M U B M

(IJ) U 8 I U B l
(c) MUM MUM

(cf) M 8 AM 8 A

127. Find the last number of the folfowi ng number

Study the position of the dot in all the Problem
Figures. f\lote that it keeps moving around the square in the clockwise direction. Where \vould it be in the third position? If you observe in the second figure, the dot is at the upper right corner and in th8 fourth figure tile dot is at the bottom left corner. Hence. in the third figure. it sl10uld be at the bottom right corner. Therefore, the answer is b.
Now, solve the follmving questions.

series

129. Problem Figures

10, 8, 16, 13, 39, 35,?
(a) 75

0

."®

(b) 100

1

'»

C!llt.l

0

'i