e:iliyas mirza (mathematics wo · class : x/f6...01...5 space for rough work 14. a plano-convex...

...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.

...01...Class : X/F6 2


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)

...01...Class : X/F6 3


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)

...01...Class : X/F6 4


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

...01...Class : X/F6 5


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)

...01...Class : X/F6 6


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

...01...Class : X/F6 7


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 -

...01...Class : X/F6 8


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)

...01...Class : X/F6 9


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)

...01...Class : X/F6 10


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

...01...Class : X/F6 11


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)

...01...Class : X/F6 12


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)

...01...Class : X/F6 13


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)

...01...Class : X/F6 14


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

...01...Class : X/F6 15


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)

...01...Class : X/F6 16


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

...01...Class : X/F6 17


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


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

...01...Class : X/F6 18


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

...01...Class : X/F6 19


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


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


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

...01...Class : X/F6 20


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


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)

...01...Class : X/F6 21


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

...01...Class : X/F6 22


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)

...01...Class : X/F6 23


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

...01...Class : X/F6 24


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

e:iliyas mirza (mathematics wo · class : x/f6...01...5 space for rough work 14. a plano-convex...

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