E:Iliyas Mirza (Mathematics Wo · Class : X/F6...01...5 Space for Rough Work 14. A plano-convex...
Transcript of E:Iliyas Mirza (Mathematics Wo · Class : X/F6...01...5 Space for Rough Work 14. A plano-convex...
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...01...Class : X/F6 1
Space for Rough Work
01. You can burn a piece of paper using the reflected rays
of the Sun by using-
(1) a plane mirror (2) a concave mirror
(3) a convex mirror (4) none of these
02. The resistance of a conducting wire doesn’t depend upon:
(1) area of cross section (2) length
(3) temperature (4) voltage applied
01.
(1) (2)
(3) (4)
02.
(1) (2)
(3) (4)
PHYSICS
funsZ'k1. Instructions regarding filling of OMR Sheet are
mentioned on the OMR Sheet Only.2. The duration of the exam is 2 Hours.3. The Question Booklet consists of 100 questions,
each of them is of 4 Marks. The maximum Marksare 400.
4. Subject wise division of 100 Questions are asfollows : Science50, Mathematics50.
5. Candidates will be awarded 4 Marks for indicatedcorrect response of each question.
6. One mark will be deducted for incorrect responseof each question.
7. Space for rough work is also provided in theQuestion Booklet.
1.
2.3. 100 4
400
4. 100 50, 50.
5. 4
6. 1
7.
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03. Which of the following equipment works on the principle
of electromagnetic induction?
(1) Electric fan (2) MP3 player
(3) Generator (4) Refrigerator
04. Fission of a nucleus is achieved by bombarding it with:
(1) protons (2) neutrons
(3) electrons (4) x-rays
05. If the refractive index of diamond is 2.42, then the speed
of light when passing through diamond _____
(1) increases by 41% (2) decreases by 41%
(3) increases by 59% (4) decreases by 59%
06. Fusion reaction takes place at a high temperature because:
(1) atoms are ionised at high temperatures
(2) molecules breakup at high temperatures
(3) nuclei breakup at high temperature
(4) kinetic energy is high enough to overcome the
repulsion between the nuclei
07. The glass bulb of an electric bulb is sealed to :
(1) protect the filament from oxidation
(2) maintain temperature inside
(3) prevent effects of humidity
(4) all of the above
03.
(1) (2) MP3
(3) (4)
04.
(1) (2)
(3) (4) x-
05. 2.42
(1) 41% (2) 41%
(3) 59% (4) 59%
06.
(1)
(2)
(3)
(4)
07.
(1)
(2)
(3)
(4)
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08. Which of the following statements is NOT true?
(1) The magnetic field produced by a given current in the
conductor decreases as the distance from it increases
(2) The pattern of the magnetic field lines around a current
carrying solenoid is different than that of a bar magnet
(3) Maxwell’s cork screw rule gives the direction of
the magnetic field
(4) A solenoid is used to produce an electromagnet
09. A long sighted person has a minimum distance of distinct
vision of 50cm. He wants to reduce it to 25cm. He should
use a:
(1) concave lens of focal length 25cm
(2) concave lens of focal length 50 cm
(3) convex lens of focal length 25 cm
(4) convex lens of focal length 50 cm
10. An electric bulb is rated 220V, 100 watt. The power
consumed by it when operated on 110 volt will be :
(1) 25 watt (2) 50 watt
(3) 75 watt (4) 40 watt
11. A coil and a magnet are moved in the same direction
and with same speed. What will happen?
(1) The coil will experience a force
(2) The magnet will experience a force
(3) Electric current will be induced in the coil
(4) Electric current will not be induced in the coil
08.
(1)
(2)
(3)
(4)
09. 50
25
(1)
(2)
(3)
(4)
10. 220V, 100 W
110 V
(1) 25 watt (2) 50 watt
(3) 75 watt (4) 40 watt
11.
(1)
(2)
(3)
(4)
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12. A convex lens of power 4D is placed at a distance of
40cm from a wall. At what distance from the lens should
a candle be placed so that its image is formed on the
wall?
(1)100
3 cm
(2)200
3 cm
(3)400
3 cm
(4)800
3 cm
13. What will be the current supplied by the battery in thecircuit shown here?
(1) 1A
(2) 2A
(3) 3A
(4) 4A
12. 4D
(1)100
3
(2)200
3
(3)400
3
(4)800
3
13.
(1) 1A
(2) 2A
(3) 3A
(4) 4A
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14. A plano-convex lens of refractive index 1.5 and radius
of curvature 30cm is silvered at the curved surface. This
lens is used to form the image of an object. At what
distance from the lens an object be placed in order to
have a real image of the size of the object?
(1) 20 cm (2) 30 cm
(3) 60 cm (4) 80 cm
15. In a domestic electric supply the earthpin of a plug is
made thicker because:
(1) more current flows into it
(2) it can provide easy flow path to current
(3) it can help in proper electrical connection
(4) all of the above
16. Which of the following phenomena doesn’t take place
due to atmospherice refraction of sun rays?
(1) Early sunrise
(2) Late sunset
(3) Increase in duration of day light
(4) Late snrise and early sunset
14. 1.5
(1) 20 (2) 30
(3) 60 (4) 80
15.
(1)
(2)
(3)
(4)
16.
(1)
(2)
(3)
(4)
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17. Which one of the following catalysts is used in
hydrogenation of vegetable oils :
(1) Zinc (2) Platinum
(3) Nickel (4) Iron
18. Which is not a Lewis acid?
(1) AlCl3 (2) BF3
(3) NH3 (4) FeCl3
19. Which one of the following is not correctly matched?
(1) Dry ice : Solid carbon dioxide
(2) Mustard Gas : Poisonous liquid used in chemical
warfare
(3) Teflon : Polymer containing fluorine
(4) Fullerene : Organic compounds containing fluorine
20. Vinegar is chemically known as :
(1) Acetic acid (2) Formic acid
(3) Butyric acid (4) Tartaric acid
21. Which one of the following is not an explosive :
(1) Trinitrotoluene (TNT)
(2) Trinitroglycerine
(3) Cyclotrimethylene trinitramine (RDX)
(4) Nitrochloroform
17.
(1) (2)
(3) (4)
18.
(1) AlCl3 (2) BF3
(3) NH3 (4) FeCl3
19.
(1)
(2)
(3)
(4)
20.
(1) (2)
(3) (4)
21.
(1) (TNT)
(2)
(3) (RDX)
(4)
CHEMISTRY
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22. Iron is obtained from :
(1) Limestone (2) Monazite sand
(3) Pitch-blende (4) Haematite
23. Which one of the following is used as an anti-freeze for
the automobile engines?
(1) Propyl alcohol (2) Methanol
(3) Ethanol (4) Ethylene glycol
24. The IUPAC name of the following compound will be :
Cl
O
(1) 3, 4-dimethylpentanoyl chloride
(2) 1-chloro-1-oxo-2,3-dimethylpentane
(3) 2-Ethyl-3,3-Dimethyl butanoyl chloride
(4) 2, 3-dimethyl pentanoyl chloride
25. The IUPAC name of the following compound will be :
O
HC
O
(1) 3 - keto - 2 - methylhex - 4 - enal
(2) 5 - formyl hex - 2 - en - 3 - one
(3) 5 - methyl - 4 - oxohex - 2 - en - 5 - al
(4) 3 - keto - 2 - methyl hex - 5 - enal
22.
(1) (2)
(3) (4)
23.
(1) (2)
(3) (4)
24. IUPAC
Cl
O
(1) 3, 4-
(2) 1- -1- -2,3-
(3) 2- -3,3-
(4) 2, 3-
25. IUPAC
O
HC
O
(1) 3 - - 2 - - 4 -
(2) 5 - - 2 - - 3 -
(3) 5 - - 4 - - 2 - - 5 -
(4) 3 - - 2 - - 5 -
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26. Carboxylic acids on heating with P2O5 gives :
(1) Ethers
(2) Alcohol
(3) Carbonyl compounds
(4) Anhydrides
27. Petroleum fraction of which of the following compositions
can be used as a lubricating oil?
(1) C5 – C7 (2) C10 – C16
(3) C20 – C24 (4) C30 – C40
28. Degradation of organic wastes in the absence of air
gives:
(1) Methane
(2) Methane, hydrogen, nitrogen
(3) Methane, carbon monoxide and hydrogen
(4) Methane, SO2 and hydrogen
29. Which of the following is an identification test for
unsaturation in an organic compound :
(1) Addition of hydrogen
(2) Addition of ozone
(3) Addition of bromine
(4) Addition of oxygen
26. P2O5
(1)
(2)
(3)
(4)
27.
(1) C5 – C7 (2) C10 – C16
(3) C20 – C24 (4) C30 – C40
28.
(1)
(2) ,
(3) ,
(4) , SO2
29.
(1)
(2)
(3)
(4)
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30. Which of the following is not true?
(1) All the fourth period elements have the 4th shell as
the valence shell.
(2) In all 4th period elements differentiating electrons
enter 4th shell.
(3) In 4th period elements differentiating electrons enter
either 4th shell or to 3rd shell
(4) 1st transition series elements are present in 4th period.
31. Calcium oxychloride is commonly named as :
(1) Limestone
(2) Quicklime
(3) Bleaching powder
(4) None of these
32. Foods containing fats and oil usually contain ........... to
prevent oxidation.
(1) Moisture (2) Anti-oxidants
(3) Antacids (4) Medicines
33. In the reaction, Mg + 2HCl � MgCl2 + H2 magnesium
acts as :
(1) An oxidising angent
(2) A reducing agent
(3) Oxidising as well as reducing agent
(4) None of these
30.
(1)
(2)
(3)
(4)
31.
(1)
(2)
(3)
(4)
32.
...........
(1) (2)
(3) (4)
33. Mg + 2HCl � MgCl2 + H2
(1)
(2)
(3)
(4)
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34. Which of the following statements is incorrect?
(1) ADH - Prevents conversion of angiotensinogen in
blood to angiotensin
(2) Aldosterone - Facilitates water reabsorption
(3) ANF - Enhances sodium reabsorption
(4) Renin - Causes vasodilation
35. The second Heart sound (dubb) is associated with the
closure of :
(1) Tricuspid valve
(2) Semilunar valve
(3) Bicuspid valve
(4) Tricuspid and bicuspid valve
36. The cardiac impulse is initiated and conducted further
up to Ventricle.
The correct sequence of conducted of impulse is :
(1) SA node � AV node � purkinge fibre � AV bundle
(2) SA node � purkinge fibre � AV node �� AV bundle
(3) SA node � AV node � AV bundle � purkinge fibre
(4) SA node ��purkinge fibre � AV bundle � AV node
34.
(1) ADH -
(2) -
(3) ANF -
(4) -
35.
(1)
(2)
(3)
(4)
36.
(1) SA � AV � � AV
(2) SA � � AV �� AV
(3) SA � AV � AV �
(4) SA �� � AV � AV
BIOLOGY
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37. Which of the following hormones is not secreted by
anterior pituitary?
(1) Growth Hormone
(2) Follicle stimulating hormone
(3) Oxytocin
(4) Adrenocorticotrophic hormone
38. It is known that exposure to carbon monoxide is harmful
to animals because :
(1) It reduces CO2 transport
(2) It reduces O2 transport
(3) It increases CO2 transport
(4) It increases O2 transport
39. Main function of kidney is :
(1) passive absorption
(2) Ultrafiltration
(3) Selective reabsorption
(4) Both 2 & 3
40. Podocytes are :
(1) Epithelial cells of bowman’s capsule
(2) Modified smooth muscle fibres of DCT
(3) Modified smooth muscle fibres of PCT
(4) Epithelial cells of collecting duct
37.
(1)
(2) FSH
(3)
(4) ACTH
38. CO
(1) CO2
(2) O2
(3) CO2
(4) O2
39.
(1)
(2)
(3)
(4) 2 & 3
40.
(1)
(2) DCT
(3) PCT
(4)
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41. Test cross is a cross between :
(1) Hybrid × Dominant parent (Tt × TT)
(2) Hybrid × Recessive parent (Tt × tt)
(3) Hybrid × Hybrid (Tt × Tt)
(4) All of the above
42. Which of the following is used as an Atmospheric pollution
indicator :
(1) Lepidoptera
(2) Lichens
(3) Lycopersicon
(4) Lycopodium
43. Animal Husbandry and plant breeding programmes are
examples of :
(1) Reverse evolution
(2) Artificial selection
(3) Mutation
(4) Natural selection
44. Arteries carry oxygenated blood except?
(1) Pulmonary
(2) Cardiac
(3) Hepatic
(4) Systemic
45. Two chambered Heart is found in :
(1) Pisces
(2) Amphibia
(3) Reptilia
(4) Aves
41.
(1) × (Tt × TT)
(2) × (Tt × tt)
(3) × (Tt × Tt)
(4)
42.
(1)
(2)
(3)
(4)
43.
(1)
(2)
(3)
(4)
44.
(1)
(2)
(3)
(4)
45.
(1)
(2)
(3)
(4)
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46. Glycolysis Anaerobic Respiration takes place in :
(1) Mitochondria (2) Cytoplasm
(3) Nucleus (4) Plasmamembrane
47. Which of the following is a growth inhibitor Hormone?
(1) Cytokinin (2) Gibbrelin
(3) Auxin (4) Abscisic Acid
48. Asexual Reproduction takes place through budding in :
(1) Amoeba (2) Yeast
(3) Plasmodium (4) Leishmania
49. Methods of Asexual Reproduction are :
(1) Fission
(2) Budding
(3) Vegetative propagation
(4) All of these
50. The animals that consist of both male and female sex
organs are known as :
(1) Viviparous (2) Oviparous
(3) Sterile (4) Hermaphrodite
46.
(1) (2)
(3) (4)
47.
(1) (2)
(3) (4)
48.
(1) (2)
(3) (4)
49.
(1)
(2)
(3)
(4)
50.
(1) (2)
(3) (4)
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51. What is the square root of 9 2 14
(1) 1 2 2 (2) 3 6
(3) 2 7 (4) 2 5
52. If a 6 5 , b 6 5 then find the value of
2a2 – 5ab + 2b2 :
(1) 36 (2) 37
(3) 39 (4) 41
53. Raj wanted to type the first 200 natural numbers, how
many times does he have to press the keys :
(1) 489 (2) 492
(3) 400 (4) 365
54. The number of zeroes for the curve :Y
X
(1) 3 (2) 4
(3) 5 (4) None of these
55. If ������� are the zeroes of x3 – 5x2 + 6x – 1 the value of�3 + �3 + �3 :(1) 38 (2) –38
(3) 19 (4) –19
56. If a + b + c = 0 and a2 + b2 + c2 = k (a2 – bc) then k will be:(1) 0 (2) 1
(3) 2 (4) 3
51. 9 2 14
(1) 1 2 2 (2) 3 6
(3) 2 7 (4) 2 5
52. a 6 5 , b 6 5 2a2 – 5ab + 2b2
(1) 36 (2) 37
(3) 39 (4) 41
53.
(1) 489 (2) 492
(3) 400 (4) 365
54.Y
X
(1) 3 (2) 4
(3) 5 (4)
55. ������ � �x3 – 5x2 + 6x – 1 �3 + �3 + �3 (1) 38 (2) –38
(3) 19 (4) –19
56. a + b + c = 0 a2 + b2 + c2 = k (a2 – bc) k (1) 0 (2) 1
(3) 2 (4) 3
MATHEMATICS
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57. If 1
x 5x
, then 3 23 2
1 5 1x 5x x
x x x will be :
(1) –5 (2) 0
(3) 5 (4) 10
58. In an arithmatic Progression a4 = 11 and a10 = 16, then
the sum of the first 40 terms is (where an denote the nth
term, n = 0, 1, 2, 3, 4 .........)
(1) 550 (2) 660
(3) 880 (4) 990
59. If 1 1 1
, ,p q q r r p
are in A.P. then :
(1) p, q, r are in A.P.
(2) q2, p2, r2 are in A.P.
(3) p2, q2, r2 are in A.P.
(4) q, p, r are in A.P.
60.1 2 n
1 1 ............ 1n 1 n 1 n 1
is :
(1) n (2)n
2
(3) n + 1 (4) 2n
61. If Sn denotes the sum of n terms of an A.P. then
Sn+3 – 3Sn+2 + 3Sn+1 – Sn is equal to :
(1) 0 (2) 1
(3)1
2(4) None of these
57.1
x 5x
3 23 2
1 5 1x 5x x
x x x
(1) –5 (2) 0
(3) 5 (4) 10
58. a4 = 11 a10 = 16 40
( an n n = 0, 1, 2, 3, 4 .........)
(1) 550 (2) 660
(3) 880 (4) 990
59.1 1 1
, ,p q q r r p
(1) p, q, r
(2) q2, p2, r2
(3) p2, q2, r2
(4) q, p, r
60.1 2 n
1 1 ............ 1n 1 n 1 n 1
(1) n (2)n
2
(3) n + 1 (4) 2n
61. Sn n
Sn+3 – 3Sn+2 + 3Sn+1 – Sn
(1) 0 (2) 1
(3)1
2(4)
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62. Let 3
tan A4 3
and 3
tan B4 3
then
tanA tan B
1 tanAtanB is equal to :
(1) 0.385 (2) 0.375
(3) 0.575 (4) 0.465
63. It sin� + cos� = 1, then sin�.cos� is equal to :
(1) 0 (2)1
3 1
(3) 1 (4)1 2
1 3
64. If cosec39º = x, then value of
2 22 2 2
1 1sin 39º tan 51º
cosec 51º sin 51ºsec 39º
(1) 2x 1 (2) 21 x(3) x2 – 1 (4) 1 – x2
65. If ABCD is a cyclic quadrilateral, then value of
A C B Dtan tan tan tan
2 2 2 2 is :
(1) 0 (2) 1
(3) –1 (4) 2
66. The ratio of the height of a pillar and its shadow is 1 : 3 .
The angle of elevation of the sun is :
(1) 90º (2) 60º
(3) 45º (4) 30º
62.3
tan A4 3
3
tan B4 3
tanA tan B
1 tanAtanB
(1) 0.385 (2) 0.375
(3) 0.575 (4) 0.465
63. sin� + cos� = 1 sin�.cos�
(1) 0 (2)1
3 1
(3) 1 (4)1 2
1 3
64. cosec39º = x
2 22 2 2
1 1sin 39º tan 51º
cosec 51º sin 51ºsec 39º
(1) 2x 1 (2) 21 x(3) x2 – 1 (4) 1 – x2
65. ABCD
A C B Dtan tan tan tan
2 2 2 2
(1) 0 (2) 1
(3) –1 (4) 2
66. 1 : 3
(1) 90º (2) 60º
(3) 45º (4) 30º
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67. If the system of equations kx + 3y – (k–3) = 0,
12x + ky – k = 0 has infinitely many solutions, then k :
(1) 6 (2) –6
(3) 0 (4) None of these
68. What type of graphs of the equation x + y = 5 and
x – y = 1 will be ?
(1) Parallel lines (2) Intersecting lines
(3) Coincide lines (4) None of these
69. A boat takes 7 hours to travel 30km upstream and 28km
downstream. It takes 5 hours to travel 21km upstream
and to return back. Find the speed of the boat in still
water :
(1) 10 km/hr (2) 20 km/hr
(3) 14 km/hr (4) 6 km/hr
70. In given figure BD 3
CD 4 and AE = 6 BE, then
CF
AFA
F
CDB
E
(1)2
9(2)
4
6
(3)3
8(4)
5
9
67. kx + 3y – (k–3) = 0, 12x + ky – k = 0
k
(1) 6 (2) –6
(3) 0 (4)
68. x + y = 5 x – y = 1
(1) (2)
(3) (4)
69. 30
28 7 21
5
(1) 10 (2) 20
(3) 14 (4) 6
70.BD 3
CD 4 AE = 6 BE
CF
AFA
F
CDB
E
(1)2
9(2)
4
6
(3)3
8(4)
5
9
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71. In the quadrilateral ABCD :A
BDy
z
w
128
18a
x
C
12 27
(1) x = y, a = z (2) x = z, a = y
(3) x = z, a = y (4) x = y, a = w
72. If CD = 15 units, DB = 9 units, AD bisects A ,
ABC 90º then AB has length :
C
D
BA(1) 32 units (2) 18 units
(3) 7 units (4) 24 units
73. If 2x = 4y = 8z and 1 1 1 24
2x 4y 6z 7, then the value
of z :
(1)7
16(2)
7
32
(3)7
48(4)
7
64
71. ABCD A
BDy
z
w
128
18a
x
C
12 27
(1) x = y, a = z (2) x = z, a = y
(3) x = z, a = y (4) x = y, a = w
72. CD = 15 , DB = 9 AD, A
ABC 90º AB
C
D
BA(1) 32 (2) 18
(3) 7 (4) 24
73. 2x = 4y = 8z 1 1 1 24
2x 4y 6z 7z
(1)7
16(2)
7
32
(3)7
48(4)
7
64
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74. a, b are distinct natural numbers such that 1 1 2
a b 5. If
a b k 2 , then the value of k is :
(1) 3 (2) 3
(3) 9 (4) None of these
75. A two digit number is obtained by either multiplying the
sum of its digits by 8 and adding 1, or by multiplying the
difference of its digits by 13 and adding 2. The number
will be :
(1) 41 (2) 14
(3) 61 (4) 16
76. The least value of 2x2 – 4x + 3y2 – 18y + 31 is :
(1) 3 (2) –1
(3) 0 (4) 2
77. If (x – 5) (y + 6) (z – 8) = 1331, then the minimum value
by x + y + z ?
(1) 40 (2) 33
(3) 19 (4) Not unique
78. Last two digit of 23434747 will be :
(1) 07 (2) 37
(3) 27 (4) None of these
79. If xy
ax y
, xz bx z
, yz
cy z
where a, b, c are
non-zero numbers, then the value of x?
(1)2abc
ab ac bc(2)
2abc
ac bc ab
(3)abc
ab bc ac(4)
2abc
ab bc ac
74. a, b 1 1 2
a b 5
a b k 2 k
(1) 3 (2) 3
(3) 9 (4)
75. 8
1 13
2
(1) 41 (2) 14
(3) 61 (4) 16
76. 2x2 – 4x + 3y2 – 18y + 31
(1) 3 (2) –1
(3) 0 (4) 2
77. (x – 5) (y + 6) (z – 8) = 1331 x + y + z
(1) 40 (2) 33
(3) 19 (4)
78. 23434747
(1) 07 (2) 37
(3) 27 (4)
79.xy
ax y
, xz bx z
, yz
cy z
a, b, c
x
(1)2abc
ab ac bc(2)
2abc
ac bc ab
(3)abc
ab bc ac(4)
2abc
ab bc ac
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...01...Class : X/F6 20
Space for Rough Work
80. If in the expression 33 5 , x 3 and 3y 5 , then
its rationalizing factor is :
(1) x + y
(2) x – y
(3) x5 +x4y + x3y2 + x2y3 + xy4 + y5
(4) x5 – x4y + x3y2 – x2y3 + xy4 – y5
81. If the two zeroes of the polynomial x2 – 85x + c = 0 are
prime numbers, what is the value of the sum of the digits
of c?
(1) 12 (2) 13
(3) 14 (4) 15
82. The value of tan 205º tan115º sec xºtan 245º tan335º
, where
0 < x < 99, the x is equal to :
(1) 45º (2) 50º
(3) 65º (4) None of these
83. Find the sum of least and maximum value of10(sin4� + cos4�) :(1) 30 (2) 25
(3) 15 (4) 45
84. The value of r 1r 1
r
2 is :
(1) 25 (2) 9
(3) 4 (4) 12
85. The number of common integers for the two A.P. &
1, 8, 15, 22, ........., 2003 and 2, 13, 24, 35, ....... 2004 is:
(1) 26 (2) 52
(3) 18 (4) None of these
80. 33 5 , x 3 3y 5
(1) x + y
(2) x – y
(3) x5 +x4y + x3y2 + x2y3 + xy4 + y5
(4) x5 – x4y + x3y2 – x2y3 + xy4 – y5
81. x2 – 85x + c = 0
c
(1) 12 (2) 13
(3) 14 (4) 15
82. tan 205º tan115º sec xºtan 245º tan335º
0 < x < 99 x
(1) 45º (2) 50º
(3) 65º (4)
83. 10(sin4� + cos4�)
(1) 30 (2) 25
(3) 15 (4) 45
84. r 1r 1
r
2
(1) 25 (2) 9
(3) 4 (4) 12
85. 1, 8, 15, 22, ........., 2003 2, 13, 24,
35, ....... 2004
(1) 26 (2) 52
(3) 18 (4)
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...01...Class : X/F6 21
Space for Rough Work
86. If P be a cubic polynomial P(0) = k, P(1) = 2k and
P(–1) = 3k. So find P(2) + P(–2) will be :
(1) 14k (2) 25k
(3) 32k (4) 40k
87. If 4 4sin x cos x 1
2 3 5 then the value of
8 8sin x cos x
8 27:
(1)10
13(2) 16
(3)1
50(4)
1
125
88. Let k kk1
f (x) sin x cos xk
then f4(x) – f6(x) equals
to :
(1)1
4(2)
1
12
(3)1
6(4)
1
3
89. If the angle of elevation of a cloud from a point P which
is 25m above a lake be 30º and the angle of depression
of reflection of the cloud in the lake from P be 60º, then
the height of the cloud from the surface of the lake is :
(In meters)
(1) 42 (2) 50
(3) 45 (4) 60
86. P P(0) = k, P(1) =
2k P(–1) = 3k P(2) + P(–2)
(1) 14k (2) 25k
(3) 32k (4) 40k
87.4 4sin x cos x 1
2 3 5
8 8sin x cos x
8 27
(1)10
13(2) 16
(3)1
50(4)
1
125
88. k kk1
f (x) sin x cos xk
f4(x) – f6(x)
(1)1
4(2)
1
12
(3)1
6(4)
1
3
89. 25m P
30º P
60º
(1) 42 (2) 50
(3) 45 (4) 60
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...01...Class : X/F6 22
Space for Rough Work
90. The value of sin36ºsin72ºsin108ºsin144º :
(1)1
4(2)
1
16
(3)4
(4)5
16
91. It 2a + 3b + c = 3; a > 0, b > 0, c > 0, then the greatest
value of a2b5c2 :
(1)5 2
23
5 2
3(2)
5 2
14
5 2
3
(3)5
9
4 5
9(4)
6 2
4 10
5 2
3 9
92. �ABC is a right triangle in which C 90º andCD AB . If BC = a, AC = b, AB = c and CD = p, then:
(1) p2 = a2 + b2 (2) 2 2 21 1 1
p a b
(3) 2 2 21 1 1
c a b(4) None of these
93. Three squares have the dimensions indicated in thediagram. The area of the quadrilateral ABCD is :
A D
23
C
B
5
(1)21
4(2)
15
4
(3)42
4(4) None of these
90. sin36ºsin72ºsin108ºsin144º
(1)1
4(2)
1
16
(3)4
(4)5
16
91. 2a + 3b + c = 3; a > 0, b > 0, c > 0 a2b5c2
(1)5 2
23
5 2
3(2)
5 2
14
5 2
3
(3)5
9
4 5
9(4)
6 2
4 10
5 2
3 9
92. �ABC C 90º CD ABBC = a, AC = b, AB = c CD = p
(1) p2 = a2 + b2 (2) 2 2 21 1 1
p a b
(3) 2 2 21 1 1
c a b(4)
93. ABCD
A D
23
C
B
5
(1)21
4(2)
15
4
(3)42
4(4)
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...01...Class : X/F6 23
Space for Rough Work
94. In the following figure, AE BC , D is the mid-point of
BC, then x is equal to :
B
c b
C
dh
E Dx
A
a
(1)2
2 21 ab da 4 (2)
h d
3
(3)c d h
2(4)
2 2 2 2a b d c
4
95. ABCD is a parallelagram, P is a point on AB such
that AP : PB = 3 :2. Q is a point on CD such that
CQ : QD = 7 :3. If PQ meets AC at R, then AR : AC
is :
(1) 5 : 11 (2) 6 : 13
(3) 4 : 7 (4) 2 : 5
96. If ‘x’ is real, the maximum value of 2
2
3x 9x 17
3x 9x 7 is :
(1) 41 (2) 1
(3)17
7(4)
1
4
94. AE BC BC
D x
B
c b
C
dh
E Dx
A
a
(1)2
2 21 ab da 4 (2)
h d
3
(3)c d h
2(4)
2 2 2 2a b d c
4
95. ABCD AB P
AP : PB = 3 :2 CD Q
CQ : QD = 7 :3 PQ, AC R
AR : AC
(1) 5 : 11 (2) 6 : 13
(3) 4 : 7 (4) 2 : 5
96. ‘x’ 2
2
3x 9x 17
3x 9x 7
(1) 41 (2) 1
(3)17
7(4)
1
4
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...01...Class : X/F6 24
Space for Rough Work
97. If � be the ratio of the roots of the quadratic equation
3m2x2 + m(m – 4)x + 2 = 0, then the least value of m for
which 1
1 is :
(1) 2 3 (2) 4 2 3
(3) 4 3 2 (4) 2 2
98. How many real solutions does the equation :
x7 + 14x5 + 16x3 + 30x – 560 = 0 has :
(1) 1 (2) 3
(3) 5 (4) 7
99. Each of the numbers x1, x2 ........., x101 is 1. What is
the smallest positive value of i j1 i j 101
x x ?
(1) 25 (2) 10
(3) 110 (4) 50
100. Let AP(a, d) denote the set of all terms of an infinite
arithmatic progression with first term a and common
difference d > 0. If AP(a, d) is a common in AP(1, 3),
AP(2, 5) and AP(3, 7) then a + d equals :
(1) 193 (2) 157
(3) 50 (4) 110
97. 3m2x2 + m(m – 4)x + 2 = 0
�� m
11
(1) 2 3 (2) 4 2 3
(3) 4 3 2 (4) 2 2
98. x7 + 14x5 + 16x3 + 30x – 560 = 0
(1) 1 (2) 3
(3) 5 (4) 7
99. x1, x2 ........., x101 1 i j1 i j 101
x x
(1) 25 (2) 10
(3) 110 (4) 50
100. AP(a, d)
a
d > 0 AP(a, d) AP(1, 3), AP(2, 5)
AP(3, 7) a + d
(1) 193 (2) 157
(3) 50 (4) 110