Notesale: Turn your study into money

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§â ÂÚèÿææ ÂéçSÌ·¤æ ·¤æð ÌÕ Ì·¤ Ù ¹æðÜð´ ÁÕ Ì·¤ ·¤ãæ Ù Áæ°Ð

Read carefully the Instructions on the Back Cover of this Test Booklet
...
Immediately fill in the particulars on this page of the Test
Booklet with Blue/Black Ball Point Pen
...

2
...
When you
are directed to open the Test Booklet, take out the Answer
Sheet and fill in the particulars carefully
...
The test is of 3 hours duration
...
The Test Booklet consists of 90 questions
...

5
...
Each question
is allotted 4 (four) marks for correct response
...
Candidates will be awarded marks as stated above in instruction
No
...
¼ (one fourth) marks
will be deducted for indicating incorrect response of each question
...

7
...
Filling
up more than one response in any question will be treated as
wrong response and marks for wrong response will be
deducted accordingly as per instruction 6 above
...
Use Blue/Black Ball Point Pen only for writing particulars/
marking responses on Side-1 and Side–2 of the Answer Sheet
...

9
...
except the Admit Card inside the examination
room/hall
...
Rough work is to be done on the space provided for this
purpose in the Test Booklet only
...
e
...

11
...

However, the candidates are allowed to take away this Test
Booklet with them
...
The CODE for this Booklet is A
...
In case of discrepancy, the
candidate should immediately report the matter to the
Invigilator for replacement of both the Test Booklet and the
Answer Sheet
...
Do not fold or make any stray mark on the Answer Sheet
...
ÂÚUèÿææ ÂéçSÌ·¤æ ·ð¤ §â ÂëcÆU ÂÚU ¥æßàØ·¤ çßßÚU‡æ ÙèÜð / ·¤æÜð ÕæòÜ
Œß槴ÅU ÂðÙ âð ̈·¤æÜ ÖÚð´Ð Âðç‹âÜ ·¤æ ÂýØæð» çÕË·é¤Ü ßçÁüÌ ãñÐ
2
...
ÂÚUèÿææ ·¤è ¥ßçÏ 3 ƒæ´ÅðU ãñÐ
4
...
§â ÂÚUèÿææ ÂéçSÌ·¤æ ×ð´ ÌèÙ Öæ» A, B, C ãñ´, çÁâ·ð¤ ÂýˆØð·¤ Öæ» ×ð´
ÖæñçÌ·¤ çߙææÙ, ÚUâæØÙ çߙææÙ °ß´ »ç‡æÌ ·ð¤ 30 ÂýàÙ ãñ´ ¥æñÚU âÖè
ÂýàÙæ𴠷𤠥´·¤ â×æÙ ãñ´Ð ÂýˆØð·¤ ÂýàÙ ·ð¤ âãè ©žæÚU ·ð¤ çÜ° 4 (¿æÚU)
¥´·¤ çÙÏæüçÚUÌ ç·¤Øð »Øð ãñ´Ð
6
...
ÂýˆØð·¤ ÂýàÙ ·¤æ ·ð¤ßÜ °·¤ ãè âãè ©žæÚU ãñÐ °·¤ âð ¥çÏ·¤ ©žæÚU ÎðÙð ÂÚU
©âð »ÜÌ ©žæÚU ×æÙæ ÁæØð»æ ¥æñÚU ©ÂÚUæð€Ì çÙÎðüàæ 6 ·ð¤ ¥ÙéâæÚU ¥´·¤ ·¤æÅU
çÜØð ÁæØð´»ðÐ
8
...
ÂÚUèÿææÍèü mæÚUæ ÂÚUèÿææ ·¤ÿæ/ãæòÜ ×ð´ Âýßðàæ ·¤æÇüU ·ð¤ ¥Üæßæ ç·¤âè Öè Âý·¤æÚU
·¤è ÂæÆ÷UØ âæ×»ýè, ×éçÎýÌ Øæ ãSÌçÜç¹Ì, ·¤æ»Á ·¤è Âç¿üØæ¡, ÂðÁÚU, ×æðÕæ§Ü
ȤæðÙ Øæ ç·¤âè Öè Âý·¤æÚU ·ð¤ §Üð€ÅþUæòçÙ·¤ ©Â·¤ÚU‡ææð´ Øæ ç·¤âè ¥‹Ø Âý·¤æÚU ·¤è
âæ×»ýè ·¤æð Üð ÁæÙð Øæ ©ÂØæð» ·¤ÚUÙð ·¤è ¥Ùé×çÌ Ùãè´ ãñÐ
10
...
ÂÚUèÿææ â×æŒÌ ãæðÙð ÂÚU, ÂÚUèÿææÍèü ·¤ÿæ/ãæòÜ ÀUæðǸÙð âð Âêßü ©žæÚU Â˜æ ·¤ÿæ
çÙÚUèÿæ·¤ ·¤æð ¥ßàØ âæñ´Â Îð´Ð ÂÚUèÿææÍèü ¥ÂÙð âæÍ §â ÂÚUèÿææ ÂéçSÌ·¤æ
·¤æð Üð Áæ â·¤Ìð ãñ´Ð
12
...
©žæÚU Â˜æ ·¤æð Ù ×æðǸ𴠰ߴ Ù ãè ©â ÂÚU ¥‹Ø çÙàææ٠ܻ氡Ð

Name of the Candidate (in Capital letters ) :
Roll Number

No
...
Invigilator’s Signature :

çÙÚèÿæ·¤ ·ð¤ ãSÌæÿæÚ Ñ

2
...


Two stones are thrown up simultaneously

1
...
Which of the following graph
best represents the time variation of
relative position of the second stone with

ç·¤âè 240 m ª¡¤¿è ¿æðÅUè ·ð¤ °·¤ ç·¤ÙæÚðU âð, Îæð
ˆÍÚUæð´ ·¤æð °·¤âæÍ ª¤ÂÚU ·¤è ¥æðÚU Èð´¤·¤æ »Øæ ãñ, §Ù·¤è
ÂýæÚ´UçÖ·¤ ¿æÜ ·ý¤×àæÑ 10 m/s ÌÍæ 40 m/s ãñ, Ìæð,
çِÙæ´ç·¤Ì ×ð´ âð ·¤æñÙâæ »ýæȤ (¥æÜð¹) ÂãÜð ˆÍÚU
·ð¤ âæÂðÿæ ÎêâÚðU ˆÍÚU ·¤è çSÍçÌ ·ð¤ â×Ø çß¿ÚU‡æ
(ÂçÚUßÌüÙ) ·¤æð âßæüçÏ·¤ âãè ÎàææüÌæ ãñ?

respect to the first ?
(Assume stones do not rebound after
hitting the ground and neglect air
resistance, take g510 m/s2)

(×æÙ ÜèçÁ° ç·¤, ˆÍÚU Á×èÙ âð ÅU·¤ÚUæÙð ·ð¤ Âà¿æÌ
ª¤ÂÚU ·¤è ¥æðÚU Ùãè´ ©ÀUÜÌð ãñ´ ÌÍæ ßæØé ·¤æ ÂýçÌÚUæðÏ
Ù»‡Ø ãñ, çÎØæ ãñ g510 m/s2)

scale)

(Øãæ¡ »ýæȤ ·ð¤ßÜ ÃØßSÍæ ¥æÚðU¹ ãñ´ ¥æñÚU S·ð¤Ü ·ð¤
¥ÙéâæÚU Ùãè´ ãñ´)

(1)

(1)

(2)

(2)

(3)

(3)

(4)

(4)

(The figures are schematic and not drawn to

A/Page 2

SPACE FOR ROUGH WORK /

ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã

2
...


L

...
0 cm

T 5 2p

L
g

ãñÐ

ãñ, çÁâ·¤è ØÍæÍüÌæ

ãñÐ §â ÜæðÜ·¤ ·ð¤ 100 ÎæðÜÙæð´ ·¤æ â×Ø
90 s ãñ, çÁâð 1s çßÖðÎÙ ·¤è ƒæǸè âð ÙæÂæ »Øæ ãñÐ Ìæð,
g ·ð¤ çÙÏæüÚU‡æ ×ð´ ØÍæÍüÌæ ãæð»è Ñ
1 mm

of L is 20
...
The accuracy in
the determination of g is :
(1)

2%

(1)

2%

(2)

3%

(2)

3%

(3)

1%

(3)

1%

(4)

5%

(4)

5%

3
...


Given in the figure are two blocks A and B
of weight 20 N and 100 N, respectively
...
If the coefficient of
friction between the blocks is 0
...
15, the

Øãæ¡ ¥æÚðU¹ ×ð´ Îæð ŽÜæò·¤ (»éÅU·ð¤) A ¥æñÚU B ÎàææüØð »Øð
ãñ´ çÁÙ·ð¤ ÖæÚU ·ý¤×àæÑ 20 N ÌÍæ 100 N ãñ´Ð §‹ãð´,
°·¤ ÕÜ F mæÚUæ ç·¤âè ÎèßæÚU ÂÚU ÎÕæØæ Áæ ÚUãæ ãñÐ
ØçÎ ƒæáü‡æ »é‡ææ´·¤ ·¤æ ×æÙ, A ÌÍæ B ·ð¤ Õè¿ 0
...
15 ãñ Ìæð, ÎèßæÚU mæÚUæ
ŽÜæò·¤ B ÂÚU Ü»æ ÕÜ ãæð»æ Ñ

frictional force applied by the wall on block
B is :
(1)

100 N

(1)

100 N

(2)

80 N

(2)

80 N

(3)

120 N

(3)

120 N

(4)

150 N

(4)

150 N

A/Page 3

SPACE FOR ROUGH WORK /

ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã

4
...


x direction with speed 2v is hit by another
particle of mass 2m moving in the
y direction with speed v
...


44%

62%

(4)

62%

Distance of the centre of mass of a solid

5
...
If the

radius of its base is R and its height is h
then z0 is equal to :

ç·¤âè °·¤â×æÙ ÆUæðâ àæ´·é¤ ·ð¤ ÎýÃØ×æÙ ·ð¤‹Îý ·¤è
©â·ð¤ àæèáü âð ÎêÚUè z0 ãñÐ ØçÎ àæ´·é¤ ·ð¤ ¥æÏæÚU ·¤è
ç˜æ’Øæ R ÌÍæ àæ´·é¤ ·¤è ª¡¤¿æ§ü h ãæð Ìæð z0 ·¤æ ×æÙ
çِÙæ´ç·¤Ì ×ð´ âð ç·¤â·ð¤ ÕÚUæÕÚU ãæð»æ?

(1)

h2
4R

(1)

h2
4R

(2)

3h
4

(2)

3h
4

(3)

5h
8

(3)

5h
8

(4)

3h 2
8R

(4)

3h 2
8R

A/Page 4

SPACE FOR ROUGH WORK /

ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã

6
...


R a cube of maximum possible volume is
cut
...


MR 2
32 2p

4MR 2
3 3p

ç·¤âè ÆUæðâ »æðÜð ·¤æ ÎýÃØ×æÙ M ÌÍæ §â·¤è ç˜æ’Øæ
R ãñÐ §â×ð´ âð ¥çÏ·¤Ì× â´Öß ¥æØÌÙ ·¤æ °·¤
€ØêÕ (ƒæÙ) ·¤æÅU çÜØæ ÁæÌæ ãñÐ §â €ØêÕ ·¤æ
ÁǸˆß ¥æƒæê‡æü ç·¤ÌÙæ ãæð»æ, ØçÎ, §â·¤è ƒæê‡æüÙ-¥ÿæ,
§â·ð¤ ·ð¤‹Îý âð ãæð·¤ÚU »é$ÁÚUÌè ãñ ÌÍæ §â·ð¤ ç·¤âè °·¤
Ȥܷ¤ ·ð¤ ܐÕßÌ÷U ãñ?
(1)
(2)

gravitational potential V50 at r5:, the
potential at the centre of the cavity thus
formed is :
(G5 gravitational constant)

4MR 2
9 3p

(4)

7
...
Taking

MR 2
32 2p

4MR 2
3 3p

°·¤ ÆUæðâ »æðÜð ·¤æ ÎýÃØ×æÙ
R

2 GM
2R

(1)

2 GM
2R

(2)

2 GM
R

(2)

2 GM
R

(3)

2 2GM
3R

(3)

2 2GM
3R

(4)

2 2GM
R

(4)

2 2GM
R

SPACE FOR ROUGH WORK /

ÌÍæ ç˜æ’Øæ

R

ãñÐ

§ââð ç˜æ’Øæ ·¤æ °·¤ »æðÜèØ Öæ», ¥æÚðU¹ ×ð´ ÎàææüØð
2
»Øð ¥ÙéâæÚU ·¤æÅU çÜØæ ÁæÌæ ãñÐ r5:(¥Ù‹Ì) ÂÚU
»éL¤ˆßèØ çßÖß ·ð¤ ×æÙ V ·¤æð àæê‹Ø (V50) ×æÙÌð
ãé°, §â Âý·¤æÚU ÕÙð ·¤æðÅUÚU (·ñ¤çßÅUè) ·ð¤ ·ð¤‹Îý ÂÚU,
»éL¤ˆßèØ çßÖß ·¤æ ×æÙ ãæð»æ Ñ
(G5 »éL¤ˆßèØ çSÍÚUæ¡·¤ ãñ )

(1)

A/Page 5

M

ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã

8
...


cross sectional area A has time period T
...
If
the Young’s modulus of the material of the
1
is equal to :
Y
(g5gravitational acceleration)

»é‡ææ´·¤ ‘Y’ ãæð Ìæð

wire is Y then

(1)

 TM

 T


2
 Mg

 21

 A


(3)


T
1 2  M
 T



2
  A
 
  Mg


(4)


 T
1 2 

 TM






(g5»éL¤ˆßèØ

2
 A

 21

 Mg


(2)

9
...


inside it can be considered as an ideal gas
of photons with internal energy per unit

p5

ˆßÚU‡æ)

 TM

 T



 T
1 2 

 TM






2

U
; T4
V

·¤æ ×æÙ ãæð»æ Ñ

(2)

temperature T
...
If the shell now undergoes
3 V

2

ÌÍæ ÎæÕ,

p5

1 U
  ãñÐ
3 V

between T and R is :
(1)

T ; e2R

(1)

T ; e2R

(2)

T ; e23R

(2)

T ; e23R

(3)

T;

(3)

T;

(4)

T;

(4)

T;

A/Page 6

1
R

3

SPACE FOR ROUGH WORK /

U
; T4
V

ØçÎ §â ·¤æðàæ ×ð´ L¤Î÷Ïæðc×

ÂýâæÚU ãæð Ìæð, T ÌÍæ R ·ð¤ Õè¿ â´Õ´Ï ãæð»æ Ñ

an adiabatic expansion the relation

1
R

u5

1
R

1
R3

ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã

10
...


1 J/8C is being heated by keeping it in
contact with reservoirs in two ways :
(i)

Sequentially keeping in contact with
2 reservoirs such that each reservoir
supplies same amount of heat
...


In both the cases body is brought from
initial temperature 1008C to final
temperature 2008C
...


ln2, 4ln2

2ln2, 8ln2

(4)

2ln2, 8ln2

Consider an ideal gas confined in an

11
...
As the gas
undergoes an adiabatic expansion, the
average time of collision between
q

molecules increases as V , where V is the
volume of the gas
...


(4)

For a simple pendulum, a graph is plotted

12
...
Which one of the
following represents these correctly ?

13
...


speed 20 ms21
...
The percentage
change in the frequency heard by a person
standing near the track as the train passes
him is (speed of sound5320 ms21) close
to :

°·¤ ÅþðUÙ (ÚðUÜ»æǸè) âèÏè ÂÅUçÚUØæð´ ÂÚU 20 ms21 ·¤è
¿æÜ âð »çÌ ·¤ÚU ÚUãè ãñÐ §â·¤è âèÅUè ·¤è ŠßçÙ ·¤è
¥æßëçžæ 1000 Hz ãñÐ ØçÎ ŠßçÙ ·¤è ßæØé ×ð´ ¿æÜ
320 ms21 ãæð Ìæð, ÂÅUçÚUØæð´ ·ð¤ çÙ·¤ÅU ¹Ç¸ð ÃØç€Ì ·ð¤
Âæâ âð ÅþðUÙ ·ð¤ »éÁÚUÙð ÂÚU, ©â ÃØç€Ì mæÚUæ âéÙè »§ü
âèÅUè ·¤è ŠßçÙ ·¤è ¥æßëçžæ ×ð´ ÂýçÌàæÌ ÂçÚUßÌüÙ ãæð»æ
ֻܻ Ñ

(1)

6%

(1)

6%

(2)

12%

(2)

12%

(3)

18%

(3)

18%

(4)

24%

(4)

24%

A/Page 8

SPACE FOR ROUGH WORK /

ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã

14
...


surface charge s in the upper half and
negative surface charge 2s in the lower
half
...


(1)

(4)

A uniformly charged solid sphere of radius
R has potential V0 (measured with respect

15
...
For this sphere the

equipotential surfaces with potentials

R ç˜æ’Øæ

·ð¤ ç·¤âè °·¤â×æÙ ¥æßðçàæÌ ÆUæðâ »æðÜð ·ð¤
ÂëcÆU ·¤æ çßÖß V0 ãñ (: ·ð¤ âæÂðÿæ ×æÂæ »Øæ)Ð §â
»æðÜð ·ð¤ çÜØð,

3V0 5V0 3V0
,
,
2
4
4

ÌÍæ

V0
4

çßÖßæð´

V
3V0 5V0 3V0
and 0 have radius R1,
,
,
4
2
4
4
R2, R3 and R4 respectively
...


(4)

In the given circuit, charge Q2 on the 2mF
capacitor changes as C is varied from 1mF

16
...
Q2 as a function of ‘C’ is given
properly by : (figures are drawn schematically

17
...


across a wire of length 0
...
531024 ms21
...
1 m Ü´Õð

ç·¤âè ÌæÚU ·ð¤ çâÚUæð´ ·ð¤ Õè¿ 5V çßÖßæ´ÌÚUU
¥æÚUæðçÂÌ ·¤ÚUÙð âð §Üð€ÅþUæòÙæð´ ·¤è ¥Âßæã ¿æÜ
2
...
631028 Vm

(1)

1
...
631027 Vm

(2)

1
...
631026 Vm

(3)

1
...
631025 Vm

(4)

1
...


18
...
3 A, from P to Q

(1)

1
...
13 A, from Q to P

(3)

0
...
13 A, from P to Q

(4)

0
...


Two coaxial solenoids of different radii

19
...
Let
→

F1

be the magnetic force on the inner
→
F2

solenoid due to the outer one and

be

the magnetic force on the outer solenoid

1V ÂýçÌÚUæðÏ·¤

âð ÂýßæçãÌ ÏæÚUæ

âð Q ·¤è ¥æðÚU

Îæð â×æÿæè ÂçÚUÙæçÜ·¤æ¥æð´ ×ð´, ÂýˆØð·¤ âð I ÏæÚUæ °·¤ ãè
çÎàææ ×ð´ ÂýßæçãÌ ãæð ÚUãè ãñÐ ØçÎ, ÕæãÚUè ÂçÚUÙæçÜ·¤æ
·ð¤ ·¤æÚU‡æ, ÖèÌÚUè ÂçÚUÙæçÜ·¤æ ÂÚU ¿éÕ·¤èØ ÕÜ
→

F1

ÌÍæ ÖèÌÚUè ÂçÚUÙæçÜ·¤æ ·ð¤ ·¤æÚU‡æ, ÕæãÚUè ÂçÚUÙæçÜ·¤æ

ÂÚU ¿éÕ·¤èØ ÕÜ

→

F2

ãæð Ìæð Ñ

due to the inner one
...


20
...
If
wires have mass l per unit length then the
value of I is :

Îæð ÂÌÜð ܐÕð ÌæÚUæð´ ×ð´ ÂýˆØð·¤ âð I ÏæÚUæ ÂýßæçãÌ ãæð ÚUãè
ãñÐ §‹ãð´ L ܐÕæ§ü ·ð¤ çßléÌÚUæðÏè Ïæ»æð´ âð ÜÅU·¤æØæ
»Øæ ãñÐ §Ù Ïæ»æð´ ×ð´ ÂýˆØð·¤ ·ð¤ mæÚUæ ª¤ŠßæüÏÚU çÎàææ âð
‘u’ ·¤æð‡æ ÕÙæÙð ·¤è çSÍçÌ ×ð´, Øð ÎæðÙæð´ ÌæÚU âæØæßSÍæ
×ð´ ÚUãÌð ãñ´Ð ØçÎ §Ù ÌæÚUæð´ ·¤è ÂýçÌ §·¤æ§ü ܐÕæ§ü
ÎýÃØ×æÙ l ãñ ÌÍæ g »éL¤ˆßèØ ˆßÚU‡æ ãñ Ìæð, I ·¤æ ×æÙ
ãæð»æ Ñ

(g5gravitational acceleration)

(1)

sinu

(2)

2sinu

(3)

2

(4)

A/Page 12

plgL
m0 cosu

(1)

sinu

(2)

2sinu

pgL
tan u
m0

(3)

2

plgL
tan u
m0

(4)

plgL
m0 cosu

SPACE FOR ROUGH WORK /

plgL
m0 cosu

plgL
m0 cosu

pgL
tan u
m0

plgL
tan u
m0

ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã

figures below :

ÌÍæ 5 cm ÖéÁæ¥æ𴠷𤠰·¤ ¥æØÌæ·¤æÚU ÜêÂ
(Âæàæ) âð °·¤ çßléÌ ÏæÚUæ, I 5 12 A, ÂýßæçãÌ ãæðU
ÚUãè ãñÐ §â Âæàæ ·¤æð ¥æÚðU¹ ×ð´ ÎàææüØð »Øð ¥ÙéâæÚU
çßçÖóæ ¥çÖçߋØæâæð´ (çSÍçÌØæð´) ×ð´ ÚU¹æ »Øæ ãñÐ

(a)

(a)

(b)

(b)

(c)

(c)

(d)

(d)

If there is a uniform magnetic field of

equilibrium and (ii) unstable equilibrium ?

ØçÎ ßãæ¡ 0
...


(b) and (c), respectively

(4)

·ý¤×àæÑ

A rectangular loop of sides 10 cm and

21
...
3 T in the positive z direction, in which
orientations the loop would be in (i) stable

A/Page 13

SPACE FOR ROUGH WORK /

10 cm

(b) ÌÍæ (c) ×ð´

ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã

22
...
03H) and a resistor

22
...
15 kV) are connected in series to a
battery of 15V EMF in a circuit shown
below
...
Then at t50, K1 is opened

and key K 2 is closed simultaneously
...
03H) ÌÍæ
°·¤ ÂýçÌÚUæðÏ·¤ (R50
...
°È¤) ·¤è ÕñÅUÚUè âð ÁéǸð ãñ´Ð ·é´¤Áè
K1 ·¤æð ÕãéÌ â×Ø Ì·¤ ՋΠÚU¹æ »Øæ ãñÐ §â·ð¤
Âà¿æÌ÷ â×Ø t50 ÂÚU, K1 ·¤æð ¹æðÜ ·¤ÚU âæÍ ãè
âæÍ, K2 ·¤æð ՋΠ緤Øæ ÁæÌæ ãñÐ â×Ø t51ms
ÂÚU, ÂçÚUÂÍ ×ð´ çßléÌ ÏæÚUæ ãæð»è Ñ (e5@150)

(1)

100 mA

(1)

100 mA

(2)

67 mA

(2)

67 mA

(3)

6
...
7 mA

(4)

0
...
67 mA

the diode is :

°·¤ ÜæÜ Ú´U» ·¤æ °Ü
...
(Âý·¤æàæ ©ˆâÁü·¤ ÇUæØæðÇU)
0
...
73 V/m

(1)

1
...
45 V/m

(2)

2
...
48 V/m

(3)

5
...


7
...
75 V/m

A red LED emits light at 0
...


around it
...


Monochromatic light is incident on a glass

24
...
If the refractive index of
the material of the prism is m, a ray,
incident at an angle u, on the face AB
would get transmitted through the face AC

·¤æ¡¿ ·ð¤ ç·¤âè çÂý’× ·¤æ ·¤æð‡æ ‘A’ ãñÐ §â ÂÚU
°·¤ß‡æèü Âý·¤æàæ ¥æÂçÌÌ ãæðÌæ ãñÐ ØçÎ, çÂý’× ·ð¤
ÂÎæÍü ·¤æ ¥ÂßÌüÙæ´·¤ m ãñ Ìæð, çÂý’× ·ð¤ AB Ȥܷ¤
ÂÚU, u ·¤æð‡æ ¥æÂçÌÌ Âý·¤æàæ ·¤è ç·¤ÚU‡æ, çÂý’× ·ð¤
Ȥܷ¤ AC âð ÂæÚU»Ì ãæð»è ØçÎ Ñ

of the prism provided :

(1)



 1  
u > sin21 m sin  A 2 sin21    

 m  




(1)



 1  
u > sin21 m sin  A 2 sin21    

 m  




(2)



 1  
u < sin21 m sin  A 2 sin21    

 m  




(2)



 1  
u < sin21 m sin  A 2 sin21    

 m  




(3)



 1  
u > cos21 m sin  A 1 sin21    

 m  




(3)



 1  
u > cos21 m sin  A 1 sin21    

 m  




(4)



 1  
u < cos21 m sin  A 1 sin21    

 m  




(4)



 1  
u < cos21 m sin  A 1 sin21    

 m  




that as it travels, the light beam :

»ýèc× «¤Ìé ·¤è »×ü ÚUæç˜æ ×ð´, Öê-ÌÜ ·ð¤ çÙ·¤ÅU, ßæØé ·¤æ
¥ÂßÌüÙæ´·¤ ‹ØêÙÌ× ãæðÌæ ãñ ¥æñÚU Öê-ÌÜ â𠪡¤¿æ§ü ·ð¤
âæÍ ÕɸÌæ ÁæÌæ ãñÐ ØçÎ, ·¤æð§ü Âý·¤æàæ-ç·¤ÚU‡æ-´éÁ
ÿæñçÌÁ çÎàææ ×ð´ Áæ ÚUãæ ãæð Ìæð, ã槻ð‹â ·ð¤ çâhæ‹Ì âð
Øã ÂçÚU‡ææ× Âý æ ŒÌ ãæð Ì æ ãñ ç·¤, ¿ÜÌð ãé °
Âý·¤æàæ-ç·¤ÚU‡æ ´éÁ Ñ

(1)

becomes narrower

(1)

â´·é¤ç¿Ì (â´·¤è‡æü) ãæð ÁæØð»æÐ

(2)

25
...


index of air is smallest near the ground and
increases with height from the ground
...
25 cm, ¥æñÚU
SÂcÅU âéçßÏæ ÁÙ·¤ Îð¹Ùð ·¤è ÎêÚUè 25 cm ãæð Ìæð,
500 nm ÌÚ´U»ÎñƒØü ·ð¤ Âý·¤æàæ ×ð´, Îæð ßSÌé¥æð´ ·ð¤ Õè¿
ç·¤ÌÙè ‹ØêÙÌ× ÎêÚUè Ì·¤ ×æÙß Ùð˜æ ©Ù ÎæðÙæð´ ·ð¤ Õè¿
çßÖðÎÙ ·¤ÚU â·ð¤»æ?

(1)

1 mm

(1)

1 mm

(2)

30 mm

(2)

30 mm

(3)

100 mm

(3)

100 mm

(4)

26
...


of 0
...


(1)

»çÌÁ ª¤Áæü ×ð´ ßëçh ÌÍæ çSÍçÌÁ ª¤Áæü ÌÍæ
·é¤Ü ª¤Áæü ×ð´ ·¤×è ãæðÌè ãñÐ

(2)

»çÌÁ ª¤Áæü, çSÍçÌÁ ª¤Áæü ÌÍæ ·é¤Ü ª¤Áæü ×ð´
·¤×è ãæð ÁæÌè ãñÐ

(3)

»çÌÁ ª¤Áæü ·¤× ãæðÌè ãñ, çSÍçÌÁ ª¤Áæü ÕɸÌè
ãñ ¥æñÚU ·é¤Ü ª¤Áæü ßãè ÚUãÌè ãñÐ

(4)

»çÌÁ ª¤Áæü ß ·é¤Ü ª¤Áæü ·¤× ãæð ÁæÌè ãñ´
ç·¤‹Ìé, çSÍçÌÁ ª¤Áæü Õɸ ÁæÌè ãñÐ

As an electron makes a transition from an

27
...


Match List - I (Fundamental Experiment)

28
...


(i)

Particle nature
of light

(A) ­âՙ‰œ‰

(B)

Photo-electric
experiment
...

electron

(C)

¬ÕUÄÍǾ ¦¼á¿U §â½ËÕ 

(iii)

(iv)

ȪÜáÇ §â½ËÕ 

(i)

Structure of
atom

(iv)

ÇÏ¤Í - II
§âœ‰ËÅË œ‰Í œ‰Ìø˜‰Ë
§âœÐ‰Ì±
ŠøËÎ œÕ‰ ÌÄÌÄþ±
‰¦Ëá S±¿U
ŒÁÕþªãUË×¾ œ‰Í ±¿™U 
§âœÐ‰Ì±
§¿U¼ËøËÎ œ‰Í Ǚ¿U¤¾Ë

(1)

(A) - (i)

(B) - (iv)

(C) - (iii)

(1)

(A) - (i)

(B) - (iv)

(C) - (iii)

(2)

(A) - (ii)

(B) - (iv)

(C) - (iii)

(2)

(A) - (ii)

(B) - (iv)

(C) - (iii)

(3)

(A) - (ii)

(B) - (i)

(C) - (iii)

(3)

(A) - (ii)

(B) - (i)

(C) - (iii)

(4)

(A) -(iv)

(B) - (iii)

(C) - (ii)

(4)

(A) -(iv)

(B) - (iii)

(C)- (ii)

signal is/are :

¥æßëçžæ ·ð¤ ç·¤âè â´·ð¤Ì (çâ‚ÙÜ) ·¤æ
2 MHz ¥æßëçžæ ·¤è ßæã·¤ ÌÚ´U» ÂÚU ¥æØæ× ×æòÇéUÜÙ
ç·¤Øæ »Øæ ãñÐ Ìæð, ÂçÚU‡ææ×è çâ‚ÙÜ (â´·ð¤Ì) ·¤è
¥æßëçžæ ãæð»è Ñ

(1)

2 MHz only

(1)

2 MHz

(2)

2005 kHz, and 1995 kHz

(2)

2005 kHz,

(3)

2005 kHz, 2000 kHz and 1995 kHz

(3)

2005 kHz, 2000 kHz

(4)

29
...


modulated on a carrier wave of frequency
2 MHz
...


An LCR circuit is equivalent to a damped

30
...
In an LCR circuit the capacitor
is charged to Q0 and then connected to
the L and R as shown below :

If a student plots graphs of the square of

2
maximum charge ( QMax ) on the capacitor

with time(t) for two different values L1 and

L2 (L1>L2) of L then which of the following

represents this graph correctly ? (plots are
schematic and not drawn to scale)

(1)

·ð¤ ÌéËØ ãæðÌæ ãñÐ ç·¤âè LCR ÂçÚUÂÍ ×ð´ â´ÏæçÚU˜æ ·¤æð
Q0 Ì·¤ ¥æßðçàæÌ ç·¤Øæ »Øæ ãñ, ¥æñÚU çȤÚU §âð ¥æÚðU¹
×ð´ ÎàææüØð »Øð ¥ÙéâæÚU L ß R âð ÁæðÇ¸æ »Øæ ãñÐ

ØçÎ °·¤ çßlæÍèü L ·ð¤, Îæð çßçÖóæ ×æÙæð´, L1 ÌÍæ L2
(L 1 >L 2) ·ð ¤ çÜØð , â×Ø t ÌÍæ â´ Ï æçÚU ˜ æ ÂÚU
2
¥çÏ·¤Ì× ¥æßðàæ ·ð¤ ß»ü QMax ·ð¤ Õè¿ Îæð »ýæȤ
ÕÙæÌæ ãñ Ìæð çِÙæ´ç·¤Ì ×ð´ âð ·¤æñÙ âæ »ýæȤ âãè ãñ?
(ŒÜæòÅU ·ð¤ßÜ ÃØßSÍæ ŒÜæòÅU ãñ´ ÌÍæ S·ð¤Ü ·ð¤ ¥ÙéâæÚU
Ùãè´ ãñ´)

(1)

(2)

(2)

(3)

(3)

(4)

A/Page 18

LCR (°Ü
...


The molecular formula of a commercial

31
...
wt
...

What would be the maximum uptake of
Ca21 ions by the resin when expressed in

°·¤ ßæç‡æ’Ø ÚðUç$ÁÙ ·¤æ ¥æç‡ß·¤ âê˜æ C8H7SO3Na
ãñ (¥æç‡ß·¤ ÖæÚU = 206) §â ÚðUç$ÁÙ ·¤è Ca21
¥æØÙ ·¤è ¥çÏ·¤Ì× ¥´Ì»ýüã‡æ ÿæ×Ìæ (×æðÜ ÂýçÌ
»ýæ× ÚðUç$ÁÙ) €Øæ ãñ?

mole per gram resin ?
(1)

(1)

1
103

(2)

1
206

(2)

1
206

(3)

2
309

(3)

2
309

(4)

32
...


cubic lattice with a unit cell edge of 4
...

The

radius

of

sodium

atom

is

âæðçÇUØ× ÏæÌé °·¤ ¥´ÌÑ·ð¤ç‹ÎýÌ ƒæÙèØ ÁæÜ·¤ ×ð´
ç·ý¤SÅUçÜÌ ãæðÌæ ãñ çÁâ·ð¤ ·¤æðÚU ·¤è Ü´Õæ§ü 4
...
86Å

(1)

1
...
22Å

(2)

3
...
72Å

(3)

5
...
93Å

(4)

0
...
6 eV

(1)

113
...
8 eV

(2)

26
...
4 eV

(3)

23
...


16
...
8 eV

Which of the following is the energy of a

A/Page 19

33
...


The intermolecular interaction that is

34
...


ion - ion interaction

hydrogen bond

(4)

ãæ§üÇþUæðÁÙ Õ´Ï·¤

The following reaction is performed at

35
...


2NO(g) 1 O 2 (g) ì 2NO 2 (g)

2NO(g) 1 O 2 (g) ì 2NO 2 (g)
298 K ÂÚU NO(g) ·ð¤

â´ÖßÙ ·¤è ×æÙ·¤ ×é€Ì ª¤Áæü
86
...
631012)

The standard free energy of formation of
NO(g) is 86
...
What is
the standard free energy of formation of
NO2(g) at 298 K? (Kp51
...
6310 12)286600

(2)

866001R(298) ln(1
...
6310 12)

(3)

86600 2

(3)

86600 2

(4)

36
...
6310 12)286600

0
...
631012)]

(4)

0
...
631012)]

ln (1
...


185 torr
...
2 g of a non-volatile
substance was dissolved in 100 g of acetone
at 208C, its vapour pressure was 183 torr
...
6 3 1012 )
R (298)

208C ÂÚU

°ðçâÅUæðÙ ·¤è ßæc ÎæÕ 185 torr ãñÐ ÁÕ
208C ÂÚU, 1
...
2 J ãñ Ð çΰ »° â×Ø ×ð ´

2494
...
At a given time, the composition

37
...


1
, [B]52
2

300 K

çןæ‡æ ·¤æ â´ ƒ æÅUÙ

[B]52 ¥æñÚU [C] 5

1

...
314 J/K/mol, e52
...
314 J/K/mol, e52
...


1
,
2

reverse direction because Q < Kc

(4)

¥»ý çÎàææ ×𴠀Øæð´ç·¤ Q > Kc
çßÂÚUèÌ çÎàææ ×𴠀Øæð´ç·¤ Q > Kc
¥»ý çÎàææ ×𴠀Øæð´ç·¤ Q < Kc
çßÂÚUèÌ çÎàææ ×𴠀Øæð´ç·¤ Q < Kc

Two Faraday of electricity is passed

38
...
The mass of

copper deposited at the cathode is :

CuSO4 ·ð¤

°·¤ çßÜØÙ ×ð´, Îæð Èñ¤ÚUæÇðU çßléÌ ÂýßæçãÌ
·¤è »§üÐ ·ñ¤ÍæðÇU ÂÚU çÙÿæðçÂÌ Ìæ´Õð ·¤æ ÎýÃØ×æÙ ãñ :
(Cu ·¤æ ÂÚU×æç‡ß·¤ ÎýÃØ×æÙ 563
...
mass of Cu563
...
5 g

(2)

63
...


0g

127 g

(4)

127 g

Higher order (>3) reactions are rare due

39
...
06N °çâçÅU·¤ ¥Ü ·ð¤ 50 mL
çßÜØÙ ×ð´ 3 g âç·ý¤çØÌ÷ ·¤æcÆU ·¤æðØÜæ ç×ÜæØæ »ØæÐ
°·¤ ƒæ´ÅðU ·ð¤ Âà¿æÌ÷ ©âð ÀUæÙæ »Øæ ¥æñÚU çÙSØ´Î ·¤è
ÂýÕÜÌæ 0
...


54 mg

(4)

54 mg

3 g of activated charcoal was added to

40
...
06N) in a
flask
...
042 N
...


The amount of acetic acid

The ionic radii (in Å) of N32, O22 and F2

41
...
36, 1
...
71

(1)

1
...
40

ÌÍæ

1
...
36, 1
...
40

(2)

1
...
71

ÌÍæ

1
...
71, 1
...
36

(3)

1
...
40

ÌÍæ

1
...


·ý¤×àæÑ ãñ´ Ñ

1
...
36 and 1
...
71, 1
...
40

In the context of the Hall - Heroult process

42
...


It has to be stored in plastic or wax

(3)

§âð ŒÜæçSÅU·¤ Øæ ×æð×¥ÅðU ·¤æ´¿ ÕæðÌÜæð´ ×ð´ ¥´ÏðÚðU
×ð´ â´»ýçãÌ ç·¤Øæ ÁæÌæ ãñ

(4)

§âð ÏêÜ âð ÎêÚU ÚU¹Ùæ ¿æçã°

From the following statements regarding

43
...


SrSO 4

(4)

SrSO 4

Which one of the following alkaline earth

44
...


Which among the following is the most

45
...


Match the catalysts to the correct

46
...


TiCl3

(A) - (iii), (B) - (i), (C) - (ii), (D) - (iv)

(4)

(A) - (iii), (B) - (i), (C) - (ii), (D) - (iv)

polymerization

Which one has the highest boiling point ?

47
...


ß»ü â×ÌÜèØ [Pt (Cl) (py) (NH3) (NH2OH)]1
(py 5 pyridine) ·ð¤ ’Øæç×ÌèØ â×æßØçßØæð´ ·¤è
ⴁØæ ãñ Ñ

(1)

48
...


49
...


Assertion : Nitrogen and Oxygen are the

50
...

Reason :

Ì·ü¤ Ñ

The reaction between nitrogen
and oxygen requires high
temperature
...


In Carius method of estimation of

51
...
The percentage of
bromine in the compound is :

ãñÜæðÁÙ ·ð¤ ¥æ·¤ÜÙ ·¤è ·ñ¤çÚU¥â çßçÏ ×ð´ 250 mg
·¤æÕüçÙ·¤ Øæñç»·¤ 141 mg AgBr ÎðÌæ ãñÐ Øæñç»·¤
×ð´ Õýæð×èÙ ·¤è ÂýçÌàæÌÌæ ãñ :
(ÂÚU×æç‡ß·¤ ÎýÃØ×æÙ Ag5108; Br580)

(at
...


24

60

(4)

60

Which of the following compounds will

52
...


Which

compound

would

give

53
...


Swarts reaction

(4)

SßæÅüUâ ¥çÖç·ý¤Øæ

The synthesis of alkyl fluorides is best

A/Page 26

54
...


In the following sequence of reactions :
KMnO

SOCl

55
...


C6H5COOH

C6H5CHO

(4)

C6H5CHO

In the reaction

56
...


Poly vinyl chloride

(4)

ÂæòçÜ ßæ§çÙÜ €ÜæðÚUæ§ÇU

Which polymer is used in the manufacture

57
...


çِÙçÜç¹Ì çßÅUæç×Ùæð´ ×ð´ ÁÜ ×ð´ çßÜðØ ãæðÙð ßæÜæ
ãñ Ñ

(1)

58
...


59
...


Aluminium hydroxide

Ranitidine

(4)

ÚñUçÙçÅUÇUèÙ

Which of the following compounds is not

60
...


510

(4)

510

Let A and B be two sets containing four

61
...
Then the
number of subsets of the set A3B, each

62
...


unimodular if ?z?51
...

Then the point z1 lies on a :
(1)

straight line parallel to x-axis
...


(2)

y-¥ÿæ

·ð¤ â×æ´ÌÚU °·¤ ÚðU¹æ ÂÚUÐ

(3)

circle of radius 2
...


Ùãè´ ãñ, Ìæð çÕ´Îé z1 çSÍÌ ãñ Ñ

circle of radius

2
...


x 2 26x2250
...


1 2 2 


If A 5  2 1 22  is a matrix satisfying
a 2 b 



64
...


2x112x2

The set of all values of l for which the

65
...


(1)

°·¤ çÚU€Ì â×é‘¿Ø ãñÐ

(2)

is a singleton
...


(3)

×ð´ Îæð ¥ßØß ãñ´Ð

(4)

66
...


(4)

×ð´ Îæð âð ¥çÏ·¤ ¥ßØß ãñ´Ð

The number of integers greater than 6,000

66
...


The sum of coefficients of integral powers

67
...
M
...
M
...


68
...
M
...


4

(1)

4 l2mn

(1)

4

4 lm2n

(2)

4 lm2n

(3)

4 lmn2

(3)

4 lmn2

(4)

4 l2m2n2

(4)

ÕÚUæÕÚU ãñ Ñ

4 l2mn

(2)

69
...


13 1 2 3
13 1 2 3 1 3 3
13
1
1
1
...

1
113
11 31 5

Âý‰æ× 9 ÂÎæð´ ·¤æ Øæð» ãñ Ñ
(1)

71

(1)

71

(2)

96

(2)

96

(3)

142

(3)

142

(4)

192

(4)

192

A/Page 31

SPACE FOR ROUGH WORK /

ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã

·ð ¤

70
...


lim

x→0

( 1 2 cos 2 x )( 3 1 cos x ) ÕÚUæÕÚU ãñ Ñ
x tan 4 x

(1)

4

(1)

4

(2)

3

(2)

3

(3)

2
1
2

(3)

2
1
2

(4)

71
...


71
...


(1)

ß·ý¤ ·¤æð ÎæððÕæÚUæ Ùãè´ ç×ÜÌæÐ

(2)

72
...


(1, 1)

ÂÚU

quadrant
...


(4)

meets the curve again in the fourth
quadrant
...


Let f (x) be a polynomial of degree four

73
...


x51

f ( x )

If lim 1 1
 5 3 , then f (2) is equal
x →0 
x2 

f ( x )

lim 1 1
53
x →0 
x2 

x52

ãñ, Ìæð f (2) ÕÚUæÕÚU ãñ Ñ

to :
(1)

(1)

28

(2)

24

(2)

24

(3)

0

(3)

0

(4)

74
...


â×æ·¤Ü ∫

1

(1)

( x 411) 4 1 c

(3)

2( x 4 1 1) 4 1 c

(4)

(1)
(2)

 x 41 1  4
2
 1c
 x4 



2( x 4 1 1) 4 1 c

(4)

1

4

∫

2 log

 x 41 1  4
2
 1c
 x4 



1

1

1

75
...


3

x 2 ( x 4 1 1)
1

 x4 1 1  4

 1c
 x4 



(2)

dx

SPACE FOR ROUGH WORK /

ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã

76
...
units) of the region

76
...


7
32

9
32

(4)

9
32

Let y(x) be the solution of the differential

77
...

dx
Then y(e) is equal to :

·¤æ ãÜ

(1)

e

(1)

e

(2)

0

(2)

0

(3)

2

(3)

2

(4)

2e

(4)

2e

( x log x )

78
...


co-ordinates as integers, that lie in the
interior of the triangle with vertices (0, 0),

ç˜æÖéÁ, çÁâ·ð¤ àæèáü (0, 0), (0, 41) ÌÍæ (41, 0) ãñ´,
·ð¤ ¥æ´ÌçÚU·¤ Öæ» ×ð´ çSÍÌ ©Ù çÕ´Îé¥æð´ ·¤è ⴁØæ
çÁÙ·ð¤ ÎæðÙæð´ çÙÎðüàææ´·¤ Âê‡ææZ·¤ ãñ´, ãñ Ñ

(0, 41) and (41, 0), is :
(1)

901

(1)

901

(2)

861

(2)

861

(3)

820

(3)

820

(4)

780

(4)

780

A/Page 34

SPACE FOR ROUGH WORK /

ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã

79
...


the line (2x23y14)1k (x22y13)50,

circle of radius

2
...


straight line parallel to y-axis
...


The number of common tangents to the
circles

x 2 1y 2 24x26y21250

x21y216x118y12650,

80
...


ÚðU¹æ

ÂýçÌçÕ´Õ ·¤æ çÕ´ÎéÂÍ °·¤ Ñ
(1) x-¥ÿæ ·ð¤ â×æ´ÌÚU ÚðU¹æ ãñÐ
(2) y-¥ÿæ ·ð¤ â×æ´ÌÚU ÚðU¹æ ãñÐ
2 ç˜æ’Øæ ·¤æ ßëžæ ãñÐ
(3)
3 ç˜æ’Øæ ·¤æ ßëžæ ãñÐ
(4)

straight line parallel to x-axis
...
units) of the quadrilateral

81
...


27
4

27

(4)

27

Let O be the vertex and Q be any point on

82
...
If the point P divides
the line segment OQ internally in the ratio
1 : 3, then the locus of P is :

×æÙæ ÂÚUßÜØ x258y ·¤æ àæèáü O ÌÍæ ©â ÂÚU ·¤æð§ü
çÕ´ Î é Q ãñ Ð ØçÎ çÕ´ Î é P, Úð U ¹ æ¹´ Ç U OQ ·¤æð
1 : 3 ·ð¤ ¥æ´ÌçÚU·¤ ¥ÙéÂæÌ ×ð´ Õæ¡ÅUÌæ ãñ, Ìæð P ·¤æ
çÕ´ÎéÂÍ ãñ Ñ

(1)

x 2 5y

(1)

x 2 5y

(2)

y 2 5x

(2)

y 2 5x

(3)

y 2 52x

(3)

y 2 52x

(4)

x 2 52y

(4)

x 2 52y

A/Page 35

SPACE FOR ROUGH WORK /

ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã

83
...


line

y 11
x 22
z 22
5
5
3
4
12
x2y1z516 ·ð¤ Âýç̑ÀðUÎ çÕ´Îé ·¤è,

Úð U ¹ æ

y 11
x 22
z 22
5
5
and the plane
3
4
12
x2y1z516, is :

(1)

(2)

8

2 14

(2)

8

(3)

3 21

(3)

(4)
84
...


parallel to the plane, x13y16z51, is :
(1)

2x16y112z513

(2)

x13y16z527

(3)

x13y16z57

(4)

85
...
If u is the
3
→

→

angle between vectors b and c , then a
value of sin u is :

x13y16z57

(4)

85
...


If 12 identical balls are to be placed in 3

86
...


55  2 11
 
3 3

1
22  
3

(1)

55  2 11
 
3 3

(2)

2
55  
3

(3)

1
220  
3

(4)

1
22  
3

10

12

11

The mean of the data set comprising of 16

87
...
If one of the observation
valued 16 is deleted and three new
observations valued 3, 4 and 5 are added

10

12

11

Âýðÿæ‡ææð´ ßæÜð ¥æ¡·¤Ç¸æð´ ·¤æ ×æŠØ 16 ãñÐ ØçÎ °·¤
Âýðÿæ‡æ çÁâ·¤æ ×æÙ 16 ãñ, ·¤æð ãÅUæ ·¤ÚU, 3 ÙØð Âýðÿæ‡æ
çÁÙ·ð¤ ×æÙ 3, 4 ÌÍæ 5 ãñ´, ¥æ¡·¤Ç¸æð´ ×ð´ ç×Üæ çÎØð ÁæÌð
ãñ´, Ìæð ÙØð ¥æ¡·¤Ç¸æð´ ·¤æ ×æŠØ ãñ Ñ
16

to the data, then the mean of the resultant
data, is :
(1)

(1)

16
...
0

(2)

16
...
8

(3)

15
...


16
...
0

(4)

14
...


tower from three collinear points A, B and
C, on a line leading to the foot of the
tower, are 308, 458 and 608 respectively,

ÌèÙ â´ÚðU¹ çÕ´Îé¥æð´ A, B ÌÍæ C, °·¤ °ðâè ÚðU¹æ ÂÚU
çSÍÌ ãñ´ Áæð °·¤ ×èÙæÚU ·ð¤ ÂæÎ ·¤è çÎàææ ×ð´ Üð ÁæÌè ãñ,
âð °·¤ ×èÙæÚU ·ð¤ çàæ¹ÚU ·ð¤ ©‹ÙØÙ ·¤æð‡æ ·ý¤×àæÑ
308, 458 ÌÍæ 608 ãñ´, Ìæð AB : BC ·¤æ ¥ÙéÂæÌ ãñ Ñ

then the ratio, AB : BC, is :
(1)

3:1

(1)

3:1

(2)

3: 2

(2)

3: 2

(3)

1: 3

(3)

1: 3

(4)

2:3

(4)

2:3

A/Page 37

SPACE FOR ROUGH WORK /

ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã

89
...


Let
 2x
tan21 y 5 tan21 x 1 tan21 
 1 2 x2

where ? x ? <

(1)

(2)

(3)

(4)

90
...
Then a value of y is :
3

Áãæ¡

3 x 2 x3

(1)

1 2 3 x2

3 x 1 x3

(2)

1 2 3 x2

3 x 2 x3

(3)

1 1 3 x2

3 x 1 x3

(4)

1 1 3 x2

The negation of ~ s Ú (~ r Ù s ) is equivalent

90
...
ÂÚUèÿææ ÂéçSÌ·¤æ/©žæÚU ˜æ ÂÚU çÙÏæüçÚUÌ SÍæÙ ·ð¤ ¥Üæßæ ÂÚUèÿææÍèü
¥ÂÙæ ¥ÙéR¤×æ´·¤ ¥‹Ø ·¤ãè´ Ùãè´ çܹð´Ð
4
...
ÂýˆØð·¤ »ÜÌ ©žæÚU ·ð¤ çÜ° ©â ÂýàÙ ·ð¤ çÜ° çÙÏæüçÚUÌ ·é¤Ü ¥´·¤æð´
×ð´ âð °·¤-¿æñÍæ§ü (¼) ¥´·¤ ·é¤Ü Øæð» ×ð´ âð ·¤æÅU çÜ° Áæ°¡»ðÐ
ØçÎ ©žæÚU ˜æ ×ð´ ç·¤âè ÂýàÙ ·¤æ ·¤æð§ü ©žæÚU Ùãè´ çÎØæ »Øæ ãñ, Ìæð
·é¤Ü Øæð» ×ð´ âð ·¤æð§ü ¥´·¤ Ùãè´ ·¤æÅðU Áæ°¡»ðÐ
6
...
©žæÚU ˜æ ÂÚU ·¤æð§ü Öè ÚUȤ ·¤æØü Øæ çܹæ§ü ·¤æ ·¤æ× ·¤ÚUÙð ·¤è
¥Ùé×çÌ Ùãè´ ãñÐ âÖè »‡æÙæ °ß´ çܹæ§ü ·¤æ ·¤æ×, ÂÚUèÿææ ÂéçSÌ·¤æ
×ð´ çÙÏæüçÚUÌ Á»ã Áæð ç·¤ ÒÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãÓ mæÚUæ Ùæ×æ´ç·¤Ì
ãñ, ÂÚU ãè ç·¤Øæ Áæ°»æÐ Øã Á»ã ÂýˆØð·¤ ÂëD ÂÚU Ùè¿ð ·¤è ¥æðÚU ¥æñÚU
ÂéçSÌ·¤æ ·ð¤ ¥´Ì ×ð´ °·¤ ÂëD ÂÚU (ÂëD 39) Îè »§ü ãñÐ
8
...
×æ´»ð ÁæÙð ÂÚU ÂýˆØð·¤ ÂÚUèÿææÍèü çÙÚUèÿæ·¤ ·¤æð ¥ÂÙæ Âýßàæ ·¤æÇü çι氡Ð
ð
10
...
·¤æØüÚUÌ çÙÚUèÿæ·¤ ·¤æð ¥ÂÙæ ©žæÚU ˜æ çΰ çÕÙæ °ß´ ©ÂçSÍçÌ Â˜æ
ÂÚU ÎéÕæÚUæ ãSÌæÿæÚU ç·¤° çÕÙæ ·¤æð§ü ÂÚUèÿææÍèü ÂÚUèÿææ ãæòÜ Ùãè´ ÀUæðǸð´»ðÐ
ØçÎ ç·¤âè ÂÚUèÿææÍèü Ùð ÎêâÚUè ÕæÚU ©ÂçSÍçÌ Â˜æ ÂÚU ãSÌæÿæÚU Ùãè´
ç·¤° Ìæð Øã ×æÙæ Áæ°»æ ç·¤ ©âÙ𠩞æÚU ˜æ Ùãè´ ÜæñÅUæØæ ãñ çÁâð
¥Ùéç¿Ì âæÏÙ ÂýØæ𻠟æð‡æè ×ð´ ×æÙæ Áæ°»æÐ ÂÚUèÿææÍèü ¥ÂÙð ÕæØð´
ãæÍ ·ð¤ ¥´»êÆðU ·¤æ çÙàææÙ ©ÂçSÍçÌ Â˜æ ×ð´ çΰ »° SÍæÙ ÂÚU
¥ßàØ Ü»æ°¡Ð
12
...
ÂÚUèÿææ ãæòÜ ×ð´ ¥æ¿ÚU‡æ ·ð¤ çÜ° ÂÚUèÿææÍèü Á
...
/ÕæðÇüU ·ð¤ çÙØ×æð´ °ß´ çßçÙØ×æð´ ·ð¤
¥ÙéâæÚU ãæð»æÐ
14
...
ÂÚUèÿææÍèü mæÚUæ ÂÚUèÿææ ·¤ÿæ/ãæòÜ ×ð´ Âýßðàæ ·¤æÇüU ·ð¤ ¥Üæßæ
ç·¤âè Öè Âý·¤æÚU ·¤è ÂæÆ÷UØ âæ×»ýè, ×éçÎýÌ Øæ ãSÌçÜç¹Ì,
·¤æ»Á ·¤è Âç¿üØæ¡, ÂðÁÚU, ×æðÕæ§Ü ȤæðÙ Øæ ç·¤âè Öè Âý·¤æÚU
·ð¤ §Üð€ÅþUæòçÙ·¤ ©Â·¤ÚU‡ææð´ Øæ ç·¤âè ¥‹Ø Âý·¤æÚU ·¤è âæ×»ýè
·¤æð Üð ÁæÙð Øæ ©ÂØæð» ·¤ÚUÙð ·¤è ¥Ùé×çÌ Ùãè´ ãñÐ

1
...

on the Test Booklet and Answer Sheet (Side–1) with
Blue/Black Ball Point Pen
...
For writing/marking particulars on Side–2 of the 2
...


3
...

4
...

5
...
No deduction from the total score,
however, will be made if no response is indicated for
an item in the Answer Sheet
...
Handle the Test Booklet and Answer Sheet with care,

as under no circumstances (except for discrepancy in
Test Booklet Code and Answer Sheet Code), another set
will be provided
...
The candidates are not allowed to do any rough work
or writing work on the Answer Sheet
...
This space is given at the bottom of
each page and in one page (i
...
Page 39) at the end of
the booklet
...
On completion of the test, the candidates must hand
over the Answer Sheet to the Invigilator on duty in the
Room/Hall
...

9
...

10
...

11
...
Cases where a candidate has not signed the
Attendance Sheet second time will be deemed not to
have handed over the Answer Sheet and dealt with as
an unfair means case
...

12
...
is
prohibited
...
The candidates are governed by all Rules and
Regulations of the JAB/Board with regard to their
conduct in the Examination Hall
...

14
...

15
...


A/Page 40



---