SECTION-I HT - I

MATHEMATICS

1
The area of circle whose circumference is equal1.
to the perimeter of asquare of side 11 cm is
(A) 154 cm? (A) 154 cm2 (B 144 cm?
(B) 144 cm?
(C) 124 cm² (D) 134 cm² (C) 124 cm? (D) 134 cm?

2 The earth makes a complete rotation about its2.

axis in 24 h. What angle will it turn in 3 h 20
minutes ?
(A) 50° (B) 120° (A) 50° (B) 120°

(C) 130° (D) None of these (c) 130°

3 tan 3A tan 2A tan A is equal to 3

tan 3A . tan 2A . tan A RISR
(A) tan 3A - tan 2A - tan A
(A) tan 3A tan 2A tan A
(B) tan 3A + tan 2A + tan A
(B) tan 3A + tan 2A + tan A
(C) tan 3A tan 2A -tan A
(C) tan 3A . tan 2A - tan A
(D) None of these

4 If the ratio of volumes of two spheres is 1 :8,4.

then the ratio of their surface areas is
(A) 1:6 (B) 1:2
() 1:4 (D) 1:8 (A) 1 : 6 (B) 1 : 2
(C) 1 : 4 (D) 1 : 8
5 The value of 5
15
15
V10 + V20 + V40 -5-V80
V10+ V20 +V40-5-v80
(A) V5(5+ v2) (B) 3(3 + V2) (A)
V5(5 + V2) (B) V3(3 + V2)
() v5(1+ V2) (0) V5(2 +v2) (C)
V5(1+ V2) (D) V5(2 + V2)

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 The volume of cylinder is 448 T cm3 and 6.
height 7 cm. Then its lateral surface area is 448 T Cm3 R ET 7 cm 3Ì, t GHOI
(A) None of these (B) 252 cm²
(C) 352 cm? (B) 252 cm2
(D) 259 cm?
(C) 352 cm2 (D) 259 cm
7. The value of cos 20° cos 70° - sin 20° 7 cos 20° cos 70° sin 20°
sin 70 sin 70° H7À
(A) 1 (B) 0 (A) 1 (B) 0
(c) oo (D) None of these (C) co

8 8
3 72.9 72.9
The value of is
V0.4096 V0.4096
(A) None of these (B) 5.652 (A) gÀ S Ti (B) 5.652
(C) 5.265 (D) 5.625 (C) 5.265 (D) 5.625

. if V3x -2 = 2V3+ 4, then the value of x |9. At V3x-2 = 2V3+ 4T x I H& ¿

is
(A) 1+ v3 (8) 2(1 + V3)
(A) 14 v3 (8) 2(1 + V3)
(c)
(c) 2(1- V3) (D) 1- V3
2(1 V3) (D) 1-V3
10 10
1+sin x 1+sin x a H
The value of is
V1-sin x V1-sinx
(A) sec x tan x (B) sec x +tan x (A) sec X tanx (B) sec x+ tanx
(C) sec x tan x (D) tan x - sec X (C) sec x tan X (D) tan x sec x

11. If side of cube is 6 cm, then the diagonal of 11. yf y YT 6 a y oI

cube is fdauf
(A) 3V2 cm (B) 2V3 cm (A)
3V2 cm (B) 2V3 cm
(C) 6v2 cm () 6V3 cm (C) 6V2 cm (D) 6v3 cm

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 12 12 yf tan (A t B) = W3 R cos (A -
If tan (A + B) = 13and cos (A - B) = V3 ,the

values of AandB are B) = v3 Bt, AsR B 7

2
(A) 60, 30° (B) 40°, 20°
(A) 60°,30 (B) 40°, 20°
(C) 15°, 30° (D) 45°, 15°
(c) 15°, 30o (D) 45°, 15°

13 The factor of (atb* - 16c) is 13

(atb+- 16c4) * UTguS
(A)4(b-c)(ab- 2c)(ab +2e) (A)4(a?b? + c) (ab - 2c)(ab + 2c)
(B)(- 4c)(+2c) (ab +4c) (B) (ab² - 4c) (ab + 2c)(ab + 4c)
( 4 (ab + 2c) (ab - 2c)
() (ab² + 4c') (ab + 2c) (ab 2c)
(D)- 4c) (ab +2c)* (D) (ab'- 4c)(ab + 2c)'
14 The value of tar 15 is
14
tan 15° | H -
(A 2-3 (B) 1
(A) 2 + V3 (B) 1
2v3
2V3
(D) 2-v3 (C) 2
(D) 2 - v3

1s Rav can do % of a
work in 12 days. In how 15. a 3 HT TH 12 fG
many days Ravican finish the % work ? y HoT È |
(A) None of these
(B) 7 days
(Q8 days (D) 6 days
(A) 5À S 0 (B) 7 f
(C) 8 fT (D) 6 fT
6 Fnd the value of
(A) 85
complementary angle of 75°16. 75° hif yro ou I H7
(8) 45°
(A) 859
(9 30 (B) 45°
(D) 15°
(C) 30°
(D) 15°

Page: 4
354996
17 ln figure BAP = 80° and LABC = 30, then 17. a 4, ZBAP= 80° 3R ZABC=30°, GI
LAQC wilbe

80

P A

(A) 65° (B) 110° (A) 65 (B) 110°

(C) 50° (D) 55 (C) 50° (D) 55°

18. 14
18. The value of expression
3
loglog
15 25
log-log15
log- is (A) 1 (B) 3
(A) 1 (B) 3
(c) 0 (D) 2
(C) 0 (D) 2

19. The compound interest on 24,000 19. 24.000 I 10% t G

compounded semi-annually for 1=years at the 1

rate of 10% per annum are

(A) 3.780 (B) 3,583
(A) 3,780 (B) 3,583 (C) ? 3,774 (D) 3,783
(C) 3,774 (D) 3,783

20 The value of ylog y- log z) ylogz- log *)20. xlogy-logz) ylogz-log x)

,og- log Y) isequal to zlog r-logY) qITT .
X

(A) 3 (B) 1 (A) 3 (B) 1

(C) 0 (D) 5 (C) 0 (D) 5

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21. The Quadratic eguation, whose roots are 21. 4 + y7
4 +y7 2

2
and 4-7is
2
(A) 4x + 16x +9 =0 2

(B) 4x - 16x 9 =0 (A) 4x?+16x+9 = 0

(c) 4x?- 16x+9 = 0 (B) 4x2-16x 9 =0

(D) 41 + 16r-9 = 0 (C) 4x'-16x+9 =0

(D) 4x? + 16x9 =0

22 The perpendicular distance between two 22. HHR ET3IT 3x + 4y -6 = 0 3ITR

parallel lines 3x + 4y - 6 = 0 and
6x + 8y +7=0 4 g
6x + 8v +7 =0is equal to
(A) 19/5 unit (B) 19/2 unit
(A) 19/5 unit (B) 19/2 unit
(C) 19/10 unit (D) 10/19 unit
() 19/10 unit (D) 10/19 unit

23.
23.
f
(x+) V3 then the value of
|be
(A) o (B) 3(V3+ 1)
(A) O
(B) 3(V3+ 1)
(C)
(G 3(13- 1) (D) 3/3 3(V3- 1) (D) 3/3

24 Find equation of line passing through the two24. T

fagt (3.5) 3TR (-4.2) BIoN
points (3, 5) and (-4,2)
(A) 3x -7y +26 = 0 (A) 3x - 7y + 26 = 0
(B) 3x + 7y + 26 = 0 (B) 3x +7y + 26 = 0
(C) 7z -3y +26 = 0 (C) 7x - 3y + 26 = 0
(D) 3x - 7y + 62 = 0 (D) 3x - 7y +62 = 0
25. If points (5,5), (10, k) and (-5, 1) are25. ufe fr
(5, 5),(10, k) str (-5, 1)
collinear. Then the value of k is
(A) 9 (B) 7
(A) 9 (B) 7
(C) 6 (D) 8
(c) 6 (D) 8

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26. If 2* = 5 = 10, then the value of 26. yf 2* = 5y= 10-* at, at

(A) 3 (B) 5 (A) 3 (B) 5

(c) 0 (D) -2 (C) 0 (D) -2
27. Two straight lines 3x-2y =5 and 27. a
3x-2y = 5
2x+ ky +7=0 are perpendicular to each 2x +ky +7=0 V* qHr R a , k
other. The value of k is
(A) 3 (B) 3 (A) (B) 3
2 2
(C) 4 (D) 1 4
(C) (D) 1
3 3
3 3

28 Atrain passes telegraph post in 40 seconds28. yo togt foft aftys 40

moving at arate of 36 km/h. Then the length of
the train is
(A) 500 m (B) 395 m (A) 500 m (B) 395 m
() 400m (D) 450 m (C) 400 m (D) 450 m

28 The volume of acuboid is x- 7x +6, then 2. yfe yH OI YGT y3- 7x+6 , at

the longest side of cuboid is
(A) x +3 (B) None of these (A) x +3
() x-2 (D) x 1
(C) x 2 (D) x -1

30. The HCF of two polynomials 30. EYGI p(x) = 4x'(x?- 3x +2)
plz) = 4x² (*?- 3z + 2) and
q«) = 12x(x -2)(?-4) I
q(r) = 12x(x - 2)(x?- 4) is 4x(x -2). H.H. 4x(x -2) ¿, g4G0 T A.A. -
The LCM of polynomials is
(A) 4x(x- 2) (A) 4x(*- 2)
(B) 12x2(?-3x + 2) (x² + 4) (B) 12x²(x? - 3x + 2) (x² +4)
() x'(z?- 3x+ 2) (x?- 4)
(C) x2(x?3x +2)(r² - 4)
(D) 12x?(x?-3x +2) (x²- 4) (D) 12x'(x? -3x + 2) (* - 4)

354996
Page:7
31. If tan 9 +sin = m and tan - sin =n. Then 31. yIG tan 9 + sin e = m iR tan A -
the value of m² n is sin 9 = n, d m²- n? HT }
(A) 4 mn (B) mn (A) 4 mn (8)mn
(c) 4v mn (D) 2/mn (D)
(C) 4V mn 2Vmn

2 AVerandah of area 90 m² is around aroom 32. 15 m oà sR 12 m ts 4R R0

of length 15 m and breadth 12 m. The width of
the Verandah is
(A) 1 m (B) 2.5 m (A) 1 m (B) 2.5 m
(C) 2 m (D) 1.5 m (C) 2 m (D) 1.5 m
33
if 5 5x5-52-5+2 then the value of 3. utt 55x5+53/2 =5a+2 Ì a o
a is
(A) 8 (B) 4
(A) 8 (B) 4
(C) 6 (D) 5
(C) 6 (D) 5

34 Use the following figure to find and y 34 -

D
120
130 130°
120°

(4) x =50,y =30° (A) x=50°y =30

(B) x = 30°,y = 50° (B) x =30°,y = 50°
(C) x =50°,y =60° (C) x= 50°,y =60°
(D) x =55°,y = 65° (D) x =55°,y = 65°

Pag: 8 354996
35. In the given figure, the value of DEC is 35

B
A
B

(A) 55 (B) 75° (A) 550 (B) 75°

(C) 45 (D) 65
(C) 459 (D) 65°

36 Angles of a triangle are in ratio of 1:5: 12,36. o A uT 33416 1:5: 12 &

biggest arngle of this triangle is
(A) 90° (B) 120°
() 60° (D) 45° (A) 90° (B) 120°
(C) 60° (D) 45°

37 The length of sides of a triangle are in the ratio 37.

ary yui3d 374IT 3 : 4 : 5
3:4:5 and its perimeter is 144 cm. The area
of triangie is
(A) 864 cm² (B) 764 cm? (A) 864 cm2 (B) 764 cm2
(0 664 cm² (D) 684 cm² (C 664 cm² (D) 684 cm²

32 The solution of equation y)2 2y3 = 15 IS

(A) 27,-125 (B) 25,27 (A) 27,-125 (B) 25, 27
(9 25,-27 (D) 125,-27 (C 25, -27 (D) 125,-27

32. Aand Bcan do a piece of work in 72 days. B39. As0r B fbft o4 fA 72 fi À

and C in 120days and A and C in 90 days. In yRT ht B r C sft Hr4 120
what time can A alone do it ? fet TA s0r C, 90 fi ,
(A) 60 days (B) 110 days
() 55 days (0)120 days (A) 60 f À (B) 10 f i
(C) 55 f i (D) 120 f i

Page:9 354996
40 The value of sin 0 + cos(90 +e) + sin(180 - e) + 40. sin e + cos(90 + 0) + Sin(180- 0) +
sin (180 +0) is sin (180 + e) H7 } -
(A) 1 (B) 0 (A) -1 (B) 0
(C) 1 (D) 1 (D) 1
(C) 1
2 2

1
41. IfA = 4x+then the value of A + ÷is 41. yf A = 4x+ A+ A
A

(A) None of these (B) (B)

4x2 + 1 4x2 + 1
(c) 1 (D) 4x+1 (c) 1 (D) 4x+1
4x5 +x 4x3 + x

42 The LC.M. of 12r'y³z? and 18x*y²z'is 42

(A) 21xyz (B) 36x*y³z³ (A) 21xyz (B) 36x*y³z³

(9 32x*yz (D) 24x*y²z? (c) 32x*yz³ (D) 24x*y'z?
43
The value of log: is 43.
logs
(A) 5 (B) 0 (A) 5 (B) 0
() -3 (D) 3 (C) -3 (D) 3

4. Vertex of atriangle are (4, 6), (2, -2) and (0, 2),44. f Ay yg fMGi (4. 6).
then co-ordinates of its centroid must be (2, -2) 3tR (0, 2) 30, t go org
(A) (-2, 2) (8) (2, 3)
(9 (1,2) (D) (2, 2) (A) (B) (2, 3)
(-2, 2)
(C) (1, 2) (D) (2, 2)
45 The median of the following data 25, 34, 31, 45. f ip_0 4a1
23, 22, 26, 35, 29, 20,32 is 25, 34, 31, 23, 22, 26, 35, 29, 20, 32
(A) 29.5 (B) 27.5 (A) 29.5 (B) 27.5
(C) 30.5 (D) 22.5 (C) 30.5 (D) 22.5

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 46
The value
of(x-) (r+2+) is
46.

(-9+2+
equal to (A)
(A) 4 x+ 2x + -- 8
x+ 2x + -- 8
(B) 8
(B) 8
x3
x3
(C) 8 (D)
(c) 8 (D) x+
x+ x3 x?
x

47. The perimeter of an equilateral triangle whose47. T44IE ayy tabA 43 cm? a, at
area is 4V3 cm? is equal to
(A) 20 cm (B) 10 cm
(A) 20 (B) 10
(C) 12cm (D) 15 cm
(C) 12 (D) 15 T
8. The sum of twO numbers is 11 and their 48. f HSt T I 11
product is 30, then the numbers are TuTbe 30 B1, jT zft -
(A) 6, 5 (B) 7, 4
(A) 6, 5 (B) 7, 4
(C) 8,3 (D) 9, 2
(C) 8. 3 (D) 9, 2

49 If7 is the mean of 5, 3,0.5, 4.5, a, 8.5, 9.5 then 49. 5, 3, 0.5, 4.5, a, 8.5, 9.5 I H 7 B,
the vaue of 'a' is
(A) 18 (B) 31 (A) 18 (B) 31
() 49 (D) 12 (c) 49 (D) 12

50. 1f sin x+ sinx = 1 then the value of50. u sin x + sinx = 1,

cos²x + cos»x is cosx cosx HT = ?
(A) 2 (B) O (A) 2 (B) 0
() -1 (D) 1 (C) -1 (D) 1

Page: 11 354996
 SECTION-I| 414 - II
PHYSICS

51 In asimple pendulum experiment, a student 51. faet BA GRI HR le# l yam d

calculate the value of g is 9.92 m/s but the 9.92 m/s?
standard value of g is 9.80 m/s then the
percentageerror in the calculation of g is 9.80 m/s2 | 'q' H7 3Tb|H
(A) 1.12% (B) 1.42%
(C) 1.32% (D) 1.22% (A) 1.12% (B) 1.42%
(C) 1.32% (D) 1.22%

52. In an L-C-R circuit, 100 volt alternating voltage 52. ys L-C-R qRqy RR0 tg 100 c
is applied between end points. In circuit
inductive reactance is XL 20 ohm, gfyG XL 20 34,
capacitance reactance is XC = 20 ohm and afrurd XC = 20 3rT ÊI srâtg utria
resistance is of 5 ohm. The impedance of circuit
will be
(A) 15 3H (B) 5 3H
(A) 15 ohm (B) 5 ohm
(C) 45 3 (D) 20 3H
(C) 45 ohm (D) 20 ohm

53 Heat (in calorie) required to increase the 53. 6 fb

Tq414 10 c 20°C
temperature from 10 C to 20 C of 6 kg
copper is same as heat (in calorie) required to
increase the temperature from 20°C to

100C of 3 kg lead. If specific heat of copper is

0.09 then the specific heat of lead will be
(A) 0.033 (B) 0.055
(C) 0.044 (D) 0.022 (A) 0,033 (B) 0.055
(C) 0.044 (D) 0.022
54. The electric field strength at a point in an| 54.
fai a À fot fae qr
electric field is 30 N/C. Find the force
experienced by a charge of 20 Cat that point
(A) 300 N (B) 30 N
(A) 300 c
(C) 20 N
(B) 30c1
(D) 600 N
(C) 20 c (D) 600 c

Page: 12 35499%
55 Two resistances combines in series order55. a gfa yg u o4 Hund f
provide 50ohm resultant resistance and when
it combines in parallel order provides 8 ohm
resultant resistance. Then the value of each
resistance.
(A) 21 ohm and 29 ohm
(A) 21 3H r 29 siH
(B) 10 ohm and 40 ohm (B) 10 3IH sr 40 TH
(C) 20 ohm and 30 ohm
(C) 20 3H sIN 30 3H
(D) 15 ohm and 35 ohm (D) 15 3H 3N 35 H
S6. Aspherical mirror and a thin spherical lens 56. yA Ty u s0r ya ydell ets
each have a focal length of - 15 cm. Nature
of mirror and lens will be
(A) Both convex (B) Both concave
(B) a HAceT
(c) Mirror concave and lens convex
(D) Mirror convex and lens concave

57. A particle is moving along a circular track of |57. yo qhU 1 T ~u glotR qY yR yo

radius 1 m with a uniform speed. The ratio of
the distance covered and the displacement in
hatf revolution is
(A) 2: TI (B) 1: 1 (A) 2: TL (B) 1:1

() 1:1 (D) TI: 2 (C) TI:1 (D) TI:2

# Acar of mass 2000 kg is moving with a velocity 58. 2000 kg ft qs R18 fat/que T
of 18 kmn/h. Work done to stop this car is
(A) 2.5 x 10 joule (B) 2.5 x 10 joule
(A) 2.5 x 10* (B) 2.5 x 10
(9 2.5 x 10 joule (D) 2.5 x 10 joule
(C) 2.5 x 10 (D) 2.5 X 10

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S9. Acharge of 10coulomb is brought from infinity 59 10 pel4 3T¢9T 3 Ì Yo T
to a point P near a charged body and in this
process 200 joule of work is done. Electric
potential at point P
(A) 10 V (B) 100V
(C) 200V (D) 20 V (A) 10 e (B) 100 aic
(C) 200 aic (D) 20 qtc
60
Vy. Vg. Vç are the velocities of violet, red and 60. Biq * y rt, a Ë BÌ
green light respectively, in a glass prism. Which
among the following is a correct relation ?
(A) Viy< Vç < Vg (8) Vy < Vg< VG (A) Vy < VG < Vg (B) V, < Vg < VG
(c) Vy= Vg = VG (D) V, > V7 > VG
() Vy = Va = VG (0)Vy > Vg > VG
61 A stone is gently dropped from a height of 61. V yr 20 hls fRUI GII
20m. If its velocity increases uniformly at the
rate of 10m/s². With what velocity and after
what time will it strike the ground ?
(A) 10 m/s, 2 s (B) 20 m/s, 20 s
(C) 10 m/s, 20 s (D) 20 m/s, 2 s (A) 10 , 2 HGug
(B) 20 , 20 Ug
(C) 10 i, 20 HUg
(D) 20 r , 2 tAUg
62 100gm of water at 60 °C is added to 180 gm 62. 60 C
IY 100 1H Yt I 95c GIy
of water at 95°C. The resultant temperature
of mixture is
(A) 82.5 °C (B) 80 C (A) 82.5 °C (B) 80 °C
(9 775 °C (D) 85 °C (c) 77.5 °C (D) 85°C
63 A sound wave has a frequency of 500 Hz and 63. 500 Be
3Igtti d 80 aRue
wavelength 80 cmn. How long time will it take to
travel 1 km ?
(A) 2.5 seconds (8) 25 seconds (A) 2.5 aUg (8) 25 aUg
(C) 25 mninutes (D) 2.5 minutes (c) 25 fe (D) 2.5 fAC

Pag: 14 354996
64 100 joule of heat is produced each second in a6. 4 si4 utrly uft tGUS 100
4 ohm resistance. Potential difference across
the resistor
(A) 100 V (B) 20 V
(A) 100 ac (B) 20 aic
(C) 40V (D) 50V (C) 40 c (D) 50 c

65. An object 4.0 cm in size, is placed at 25 cm in 65. y 4.0 IR â I J4d qéUT

front of aconcave mirror of focal length 15 cm.
At what distance from the mirror should a
screen be placed in order to obtain a sharp
image ?
(A) -37.5 cm (8) - 35.5 cm (A) - 37.5 f (B) - 35.5 è4

() + 25 cm (D) + 25.5 cm (C) + 25 (D) + 25.5

66 The capacitance of acapacitor is 3 uf. If 108 uC 66. 0IRA uRGI 3 uF Iyf 3HÀ
charge is available in it, then what will be
potential difference between plates ?
(A) 224 volt (B) 24 volt
(A) 224 alec (B) 24 tcc
(C) 324 volt (D) 36 volt (C) 324 aiee (D) 36 lcc

67 Awooden block of mass 6 kg is pulled across a 67. 6 foUT GHT I o_t I

rough surface by a 54 N force against a friction yo t p favá 54 N ET Y#
force F. The acceleration of the block is
6 m/s² then the value of friction force Fis
(A) 36 N (B) 54 N

(C) 18 N (D) 9 N (A) 36 N (B) 54 N

(C) 18 N (D) 9 N

62 Two unlike parallel forces 2 N and 16 N act at 68. 3HHT HHR q 2 N 3R 16N V
the ends of a uniform rod of 21 cm length. The
point where the resultant of these two act is at
adistance of from the greater force.
(A) 3 cm (B) 4 cm
() 1cm (D) 2 cm (A) 3 (B) 4 t
(C) 1 ft (D) 2 t

Page: 15 354996
 69. One proton enters in a magnetic field of
N Amp- m intensity with
250069. yc 2500 R-t ql
4 X 10> m/sec in parallel of
velocity of 4 X105 t Ê
field. The force
exerted on proton will be
(A) 4.8 x 10-1°N (B) 0.48 x
10-1ON (A) 48 x 10-10 Ci
(C) ON
(D) 4.8 X 10°N
(B)048 x 10-10 cT
(C) cT
(D) 4.8 x 1010 C1
70. A body weights 75 gm in air, 51
gm when70. y tqug I 34T
completely immersed in unknown liquid and 67 HIT 75 am |
gm when completely immersed in
water. Find 67 gm 8 1^IIG A
the density of the unknown liquid
(A)
3gm /cm³ (B)
8gm/cm (A
(c)
3gm/cm (B)
8 gm/cm³
6 gm/cm³ (D) 4
gm /cm3 (C)
6gm/cm3 (D) 4
gm / cm
71. If radius of Earth shrinks by 4%
and mass of| 71. yf yet otf 4 %fIc TT
Earth unchanged, then the value of
acceleration due to gravity will be changed by
(A) 8% (B) 4%
(A) 8% (B) 4%
() 16% (D) 2%
(C) 16% (D) 2%
72 An object is placed in front of a
convex lens of72. yo dI 12 NI G
focal length 12 cm. If the size of the real
image J°c c
formed is half the size of the object, then the
distance of object from the lens
(A) 48 cm (B) 30 cm (A) 48 (B) 30
(C) 26 cm (D) 36 cm (C) 26 TAT (D) 36 t
73. Magnetic flux of a 20 round coil is reduced
zero from 0.3
to73. y# 2o bÌ t usit qr4os
weber in one second then the
induced e.m.f. between the terminal of coil
(A) 2.5 V (8) 3 V
(c) 6V (D) 1.5
(A) 2.5 c (B) 3 arc
(C) 6 qic (D) 1.5 rãe

Page: 16 35499%6
 beé cseaved tr om the lop of a tower of h it
M meter n take I secnds to reat
N 314
What s the position of ball atscve the

(B) 24
hm (A 25 hé
25
(D) 24 h m
(D 24 h

he gavtational force between two masses 3 g4

ept st a certain distance is P Newton The
ame two masses are now kept in water and
he dtstance between them ate sarne The
astatonal force between these fwo masues
water is Q Newton then
A None of these (B) P Q
0P Q (D) P Q
 SECTION-I| HT-III
CHEMISTRY
76. Detergents are the saltt of 76. fsecH qU -
(A) None of these (B) Carboxylic acid
(C) Carboxylic acid and Sulphonic acids or alkyl
hydrogen sulphates both
(D) Sulphonic acids or alkyl hydrogen sulphates

7. An organic compound contains carbon =77. s I c yG

38.71%, Hydrogen = 9.67% and Oxygen. The 38.71%,
9.67% TRT cRT
empirical formula of the compound would be
(A) CH0 (B) CH,0 (A) CHO (B) CH,0
(C) CH,0 (D) CH,0 (C) CH,0 (D) CH,0
78. Which catalyst is used in oxidizing NH, in 76. 3REaics faf
HnyT (NH,)
Ostwald's process?
(A) Pt (B) Molybdenum (A) Pt (B) cftaa4
(c) FeO (D) V,05 (C) FeO (D) V,05
79. Which of the following order of ionic radii is| 79.
correctly represented ?
(A) H->H>H (B) Na > F>02 (A)H- >H>H (B) Na >F>02
() F> 0-> Nat (C) F-> 0²-> Nat
(D) AI3 < Mg?t < N3 (D)AI`* < Mg2+ < N³
80. F,C = CF, is a monomer of 80. F,C =CF, yo# -
(A) Glyptol (B) Teflon
(C) Buna-S (D) Nylon-6 (C) SI (D) 4TT-6 1
81. The number of molecules present in 2.8 g of 81. 2.8 q SÇIvj 3u3d gyfT Hen
nitrogen is
(A) 6.023 x 1021 (B) 6.023 x 1020 (A) 6.023 x 1021 (B) 6.023 x 1020
(c) 6.023 x 1022 (D) 6.023 x 1023 (C) 6.023 x 1022 (D) 6.023 x 1023

Page: 18 354996
 Among thefollowing, ionic hydride is
IA PH, (B) BH, (A)
PH, (B
BH,
(c) SiH, (D) MgH2 (C)
SiHa (D) MgH,
83 An example of thermosetting plastic is
(A) All of these (B) PV.C.
(A) ft (B) P.V.C.
(c) Bakelite (D) Polythylene
(c) belSE (D) qifeft
A Equivalent weight of adibasic acid is 12.
ItsB4. Y feH 3t o drio 4TR 12 I
molecular weight is
(A) 48 (B) 12
(A) 48 (B) 12
(c) 24 (D) 6
(C) 24 (D) 6
85. Real gas behaves like ideal gas at
(A) None of these (B) High temperature
(C) High pressure (D) Low temperature

8Ë. Which of the following types drugs reduces 86. Ít ÇAISYÈ qR hH hrt
fever ?
IH
II ?
(A) Tranquilizers (B) Antibiotic (8) arife
() Analgesic (D) Antipyretic (C) yNG (D) tyRftE
87. Hardrness of water is due to the
presence of
(A) Sodium and Potassium salt
(B) Calcium and magnesium salt
(C) Lead and copper salt
(D) None of these

Page: 19 354996
88. The lUPACname of 88.

CH5 HC=C- C-CH,oT IUPAC TTH -

HC=C-C-CH, is
H (4) 3-frrScT-1-4-C1gT
(A) 3-Methyl-1-Pentyne (B) 3-fMeET-4--e1g
(B) 3-Methyl-4-Pentyne
() 2-ug-2-s0YIgT
() 2-£thyl-2-Propyne (D) 3-fregc-5--c157
(D) 3-Methyl-5-Pentyne

B8 represented
Electronic configuration
as
of copper can be 89 aiT I Ztçifto faaI HEtfa fsuT
IA) [Ar]4s'3di0 (B) (Ar]4s?3d°4p' ia) [Ar]4s3410 (9) [Ar]4s?3d°4p'
(9 [Ar]4s² 3d1°4p² (0) [Ar]4s?349 (e) [Ar]4s?3di°4p' (D)[Ar]4s 349
90 Essential constituent of an amalgam is 90. 344TH HA p
(A) Silver (B) an alkali metal (A) (B) ArR0Y ATg
(9 an alkali (D) Mercury (C) R (D) qRT
91. Armount of copper deposited on the cathode of 91.
an electrolytic cell containing copper sulphate
solution by the passage of 2 amperes for 30
minutes - (At. mass of Cu = 63.5) HT- (4g o| qRHU 4R =63.5)
(A) 0.1184 gm (B) 0.2214 gm (A) 0.1184 gm (B) 0.2214 gm
(9 2.214 gm (D) 1.184 gm (C) 2.214 gm (D) 1.184 gm

Page: 20
354996
2 In the following reaction 92.
f fufbzi
So, + 2H,S’3S+ 2H,0
(A) Sulohur is oxidised and Hydrogen is S0, + 2H,S’3S + 2H,0
reduced
(B) Sulphur is both oxidised and reduced
(C) Sulphur is reduced and oxygen is oxidised
(D) Hydrogen is oxidised and Sulphur is reduced (C) HbR 31442

93. Which among the following pairs are not 93.

having same number of total electrons ?
(A) P- and Ar (B) Mg+ and Ar (A) P-3d Ar (B) Mg à Ar
(C) 02- and F (D) Nat and Al3+ (c) (D) Na i A3+
94. The half life period of a radioactive element is 94. yG
150 days. After 600 days 1 gm of the element
Syfc frq I 3e3OIT 150
f | 600 f qIc 1
will be reduced to
(A) 15 (B) 1 (A) 15 1
l68n 328n (B)
16
gm gm
32
(c) 1 (D) 1 (C) 1 1
168n (D)
gm gm
16 8

5. Hydrocarbon used for welding purpose is

(A) Ethane (B) Ethene (A) e (B) ge
(C) Ethyne (D) Benzene (C) z^1 (D)

30. Cracking is a process used for change in 96.

(AJHigher molecular weight alkane to lower fy

molecular weight alkane
(B) Alcohols to aldehydes
() Alkanes to aromatic hydrocarbons
(D) Ketones to aldehydes

Page: 21 354996
97 10.0 gmCaCO, on heating gave S.6 gm of Cao 97 10.0gm CaCO, H R 5.6 gm Cao
and 4.4 gm of C0,, given data support the yd 4.4 gm co:
law of
(A) Multiple proportion
(B) fReR 3q4161
(B) Constant proportion
(C) Law of conservation of mass
(D) r
(D) All of these

98 In which of the compound oxidation number of 98. f foI nfs 3iCÍÌNH

OxYgen is +2 ?
fIU
(4) 0 (B) Na,0, (A) (B)
Na,O,
(D) F,0 (c) K,0 (D) F,0
The rate of diffusion of agas is r and its density 99. fo t
is d, then under similar conditions of fdruj R r GT GIOI
pressure
and temperature
(B) ravd (A) r«d (B) ra vd
1 (D) 1 (C) 1
ra (D)
rx
1
vd
100. The common name of
2-Butanone is 100. 2-cTI HI|RI
(A) Acetone
(B) Butyraldehyde TH
(A) yftcM (B) ffrsES
(9 Aceticanhydride
(D) Ethyl Methyl Ketone

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354996