SAMPLE PAPER 9TH STANDARD FOR - Rao IIT | medical-ug | boards | kvpy | ntse | olympiads sample paper...

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Rao IIT Academy Talent Hunt Paper - 2014

1SANTACRUZ | ANDHERI | GOREGAON | KANDIVALI (E) | KANDIWALI (W) | BORIVALI | BHAYANDER | VASAI | POWAI | DADAR |SION | THANE | LOKPURAM (THANE) | DOMBIVLI | KALYAN | PANVEL / KAMOTHE | NERUL | SANPADA | KHARGHAR |

JEE | MEDICAL-UG | BOARDS | KVPY | NTSE | OLYMPIADS

SAMPLE PAPER 9TH STANDARD FORSTUDENTS ASPIRING ADMISSION IN 10TH STANDARD

Date:

Total Marks: 150 Max. Time: 2:00 hr.

1. Read each question carefully.

2. It is mandatory to use black ball point pen to darken the appropriate circle in the OMR sheet.

3. Bubble mark should be dark and fill the circle completely.

4. Here are some examples of incorrect OMR filling. The Correct one is

5. Rough work must not be done on the OMR sheet.

6. Before handing over the OMR sheet to the invigilator, candidate should check that Standard,

Roll No. / Name & Test Date are mentioned correctly.

7. The OMR sheet has to be returned to the invigilator immediately after the examination.

8. There are 75 questions in the paper. Each question carries 2 marks with (– 0.5) Negative marking. The paper

contains questions based on Maths, Science, Logical Reasoning.

9. All questions are single correct answer type.

INSTRUCTIONS FOR CANDIDATES

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MATHS1. If the equation 2 2 0ax x a has two distinct roots, then

(A) 1a (B) a = 0 (C) a = 0, 1 (D) a = –1, 0

2. If the radius of a circle is increased by 100%, then the area of the circle increases by :

(A) 100% (B) 200% (C) 300% (D) 400%

3. If the mode of a data is 18 and the mean is 24, then median is -

(A) 18 (B) 24 (C) 22 (D) 21

4. The common difference of the A.P. is 13, 8, 3, –2, is ______

(A) –5 (B) 5 (C) 0 (D) 1

5. 11th term of the A.P. –3, 1 , 2,.........

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is

(A) 28 (B) 22 (C) –38 (D) 1482

6. The probability of getting an even number when a dice is rolled, is

(A) 16 (B)

136 (C)

12 (D) none of these

7. If one root of x2 –5x + k = 0 is 2, then the value of k and the other root is

(A) k = 6, other root is 3 (B) k = 6, other root is – 3

(C) k = 3, other root is 6 (D) k = – 6, other root is – 3

8. If ABCD is a rhombus, then -

(A) AC2 + BD2 = 6 AB2 (B) AC2 + BD2 = 5 AB2

(C) AC2 + BD2 = 4 AB2 (D) AC2 + BD2 = 3 AB2

9. The perimeter of one face of a cube is 20 cm. It’s volume must be

(A) 8000 cm3 (B) 1000 cm3 (C) 125 cm3 (D) 400 cm3

10. Set A and B have 10 and 15 elements respectively. The minimum and maximum number of elements in setisA B

(A) 0, 10 (B) 0, 15 (C) 10, 15 (D) 10, 25

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11. If 2323y,

2323x

then x2 + xy + y2 =

(A) 97 (B) 98 (C) 99 (D) 100

12. Find the value of ‘k’for which the system of linear equations kx + 2y = 5 and 3x + y = 1 has zerosolutions.

(A) k = 6 (B) k = 3 (C) k = 4 (D) none of these

13. Two right circular cones of equal curved surface areas have their slant heights in the ratio 3:5, findthe ratio of their radii.

(A) 3 : 4 (B) 4 : 3 (C) 5 : 3 (D) 3 : 7

14. The slant height of a right circular cone is 10 m and its height is 8 m. Its curved surface area will be :(A) 175.5 m2 (B) 185.5 m2 (C) 188.5 m2 (D) 198.5 m2

15. Find in figure

120°

A

C

B

O

(A) 60° (B) 75° (C) 90° (D) 30°16. The diagonals of a rectangle ABCD cut at O. OAL is an equilateral triangle drawn so that B and L are

on the same side of AC. If ÐACD = 30°, then the angles of ALB are -(A) 60°, 60° and 60° (B) 30°, 30° and 120°(C) 30°, 60° and 90° (D) not determinable from the given data

17. In the adjoining figure, ABCD is a trapezium in which AB||DC and AB = 2 DC. Then the ratio of thearea of DAOB and DCOD is -

(A) 3 : 1 (B) 2 : 1 (C) 4 : 1 (D) 3 : 218. What is the angle between the minute hand and hour hand of a clock at 3 p.m.?

(A) 45° (B) 90° (C) 15° (D) 60°19. A number is chosen at random among the first 120 natural numbers. The probability of the number

chosen being a multiple of 5 or 15 is -(A) 1/5 (B) 1/6 (C) 1/7 (D) 1/9

20. If 32x then the value of x1x correct to two decimal places is -

(A) 3.50 (B) 3.40 (C) 3.46 (D) 3.80

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SCIENCE21. Which of following quantity is different from others?

(A) mass (B) length (C) time (D) density

22. The number of joules contained in 1kWh is

(A) 36 × 102 (B) 36 × 103 (C) 36 × 104 (D) 3.6 × 106

23. The most commonly used thermometric liquid is

(A) water (B) alcohol (C) mercury (D) none of these

24. A block of mass 2 kg is sliding with a constant velocity of 8 m/s on frictionless horizontal surface. The forceexerted on a horizontal surface is nearly-

(A) 20 N (B) 10 N (C) 40 N (D) 16 N

25. A boat of mass 3000 kg initially at rest is pulled by a force of 1.8 × 104 Newton through a distance of 3 m.Assuming that the resistance due to water is negligible, velocity of boat is

(A) 6 m/s (B) 8 m/s (C) 9 m/s (D) 11 m/s

26. A molecule of phosphorus is represented as

(A) P (B) P2 (C) P4 (D) P8

27. Designation of an orbital with n = 6 and l = 0, is -

(A) 6s (B) 6d (C) 6f (D) 6p

28. Which is not an allotrope of carbon

(A) Graphite (B) Diamond (C) Fullerene (D) Carborundum

29. Propane is an -

(A) acyclic compound (B) open chain compound

(C) aliphatic compound (D) All of these

30. The acidic solution of a salt produced a deep blue colour with starch iodide solution. The salt may be

(A) chloride (B) nitrite (C) acetate (D) bromide

31. The metabolically usable form of energy is

(A) GDP (B) ATP (C) GTP (D) ADP

32. The alternate forms of genes are known as

(A) factors (B) determiners (C) alleles (D) exons

33. The structural and functional unit of kidney is

(A) Ureter (B) nephron (C) Henry’s loop (D) Bowmans capsule

34. The fundamental simple permanent tissue is

(A) sclerenchyma (B) parenchyma (C) collenchyma (D) xylem

35. The nitrogen fixation by legumes is due to the presence of

(A) Anabaena (B) Nostoc (C) Rhizobium (D) Bacillus

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36. There are two different quantities A and B having different dimensions. Then which of the following opera-tion is dimensionally correct?

(A) A + B (B) AB (C) A/B (D) A/B

37. The slope of velocity-time graph shows-

(A) speed (B) acceleration (C) displacement (D) angular velocity

38. A force of 6N acts on the mass of 1 kg which acquires a velocity 30m/s. The time for which the force actsis-

(A) 26 sec (B) 6 sec (C) 5 sec (D) 2 sec

39. If the diameter of earth becomes 3 times its present value, but mass does not change, the weight of an objectwill decrease to -

(A) 13

rd (B) 16

th (C) 18

th (D) 19

th

40. What is the velocity of a body of mass 100 g having a K.E. of 20 J ?

(A) 2 ms–1 (B) 20 ms–1 (C) 40 ms–1 (D) none of these

41. Diamond and graphite burn, to give out :

(A) Carbon monoxide (B) Carbon dioxide (C) Carbon (D) Oxygen

42. In diamond, the number of free electrons are :

(A) 1 (B) 2 (C) 0 (D) 4

43. Which amongst the following is not free state of carbon ?

(A) Diamond (B) Graphite (C) coke (D) Petrol

44. Compounds of carbon and hydrogen which form long chains or branched chains are :

(A) Carbohydrates (B) Hydrogen Carbon (C) Hydrogen carbides (D) Hydrocarbons

45. Which of the following is a triatomic molecule ?

(A) carbon dioxide (B) ammonia (C) helium (D) sugar

46. In Whittaker’s five kingdom classification, unicellular eukaryotes primarily aquatic and having various cellorganelles constitute, the kingdom(A) Monera (B) Protista (C) Animalia (D) Plantae

47. Which of the following is a bacterial disease?(A) Measles (B) Small pox (C) Rabies (D) Tuberculosis

48. The most logical and widely accepted classification scheme is provided by(A) Ernst Haeckel (B) Carolus Linnaeus (C) H.F. Copeland (D) R.H. Whittaker

49. The cell nucleus was discovered by(A) Calvin (B) Virchow (C) Robert Hooke (D) Robert Brown

50. Power house of cell is

(A) Nucleus (B) DNA (C) Mitochondria (D) ATP

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LOGICAL REASONING

51. In the following number series how many 8’s are there which are exactly divisible by the numbers which

are preceded and followed by it ?

8 2 4 5 1 7 2 8 4 8 4 2 2 8 2 6 9 8 4 5 4 8 3 2 8 4 3 1 8 3

(A) 1 (B) 2 (C) 3 (D) 4

52. If JUMP is coded as KVLO then GIVE will be coded as:

(A) HHWB (B) HIUE (C) HJUD (D) HJVD

53. If D = 4, and COVER = 63, then BASES = ?

(A) 46 (B) 50 (C) 54 (D) 55

54. If TOWER is coded as 81, what will be the code for POWER ?

(A) 75 (B) 65 (C) 77 (D) 79

55. Find out the signs to be interchanged for making the equation correct 10 10 10 10 10 10

(A) + and – (B) + and × (C) and (D) and

56. A man is facing North-West, he turns 90° in the clockwise direction then 180° in the anticlockwise direction

and then another 90° in the same direction, which direction is he facing now ?

(A) south (B) south-west (C) south-east (d) west

57. Starting from a point ‘S’ Mahesh walk 25 metres towards south, he turn to his left and walked 50 meters.

He then again turn to his left and walk 25 metres, he again turn to left and walk 60 m and reach a point ‘T’.

How far is Mahesh from the point ‘S’ and in which direction ?

(A) 10 metres west (B) 25 metres north (C) 10 metres east (D) 25 meters west

58. Sport is related to Logo in the same way as Nation is related to ?

(A) Emblem (B) Animal (C) Ruter (D) Anthem

59. Find the missing number 21, 24, 27, 30, .... ?

(A) 33 (B) 43 (C) 23 (D) 13

60. Which number is opposite to 4 ?

6 5

1

(i)

4 61

(ii)

(A) 5 (B) 3 (C) 2 (D) 1

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61. Who is to the immediate right of P among five persons P, Q, R, S and T facing North ?(I) R is third to the left of Q and P is second to the right of R.(II) Q is to the immediate left of T who is second to the right of P.(A) P (B) Q (C) R (D) S

62. Statement I: All the trees in the park are flowering trees.Statement II: Some of the trees in the park are dogwoods.Statement III: All dogwoods in the park are flowering trees.If the first two statements are true, then third statement is(A) True (B) false (C) uncertain (D) none of these

63. In the alphabet series which letter is midway between 22nd letter from the left and 21st letter fromthe right?(A) L (B) M (C) O (D) none of these

Directions: (64 to 65)In each of the following questions, four words have been given out in which three are alike in somemanner, while the fourth one is different. Choose out the odd one.

64. (A) Hare (B) Lamb (C) Vixen (D) Colt65. (A) Rigveda (B) Yajurveda (C) Atharvaveda (D) AyurvedaDirection : (66 to 67)

Read the given information carefully and answer the questions that follows: Ratan, Anil, Pinku andGaurav are brothers of Rakhi, Sangeeta, Pooja and Saroj not necessarily in that order. Each boy hasone sister and the names of brothers and sisters do not begin with the same letter. Pinku and Gauravare not Saroj’s and Sangeeta’s brothers. Saroj is not Ratan’s sister.

66. Pooja’s brother is ?(A) Ratan (B) Anil (C) Pinku (D) Gaurav

67. Which of the following are brother and sister ?(A) Ratan and Pooja (B) Anil and Saroj(C) Pinku and Sangeeta (D) Gaurav and Rakhi

68. Which letter should be fourth to the left of twelth from the right if the second half of the alphabet seriesis reversed ?(A) J (B) K (C) L (D) M

69.7 9

124

5 18212

14 12

7?

(A) 14 (B) 22 (C) 19 (D) 32

70. If HERCULES is coded as JCTAWJGQ, then what is the code for APHORDITE ?

(A) CNMJTBKRG (B) CNJMTBKSG (C) CNJMTBKRG (D) CNJMTCKRG

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Direction(Question 71 to 75) : Study the figure carfully and answer the given :

Here, big triangle represents artists, small triangle reprsensts scientisis, rectangle representsdancers and cirlce represents doctors.

71. Which letter represent the artists who are doctors and dancers only ?(A) A (B) D (C) G (D) H

72. Which letters represent the artists who are neither scientists nor doctors ?(A) A and B (B) A and L (C) B and G (D) L and H

73. Which letters represent the artists who are dancers as well as doctors?(A) A and D (B) C and A (C) C and D (D) G and H

74. Which letter represents the artists who are neither doctors nor scientists nor dancers?(A) A (B) D (C) F (D) G

75. Which letter represents the scientists who are not artists ?(A) B (B) D (C) F (D) L4

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Answer Key

1. (A) 2. (C) 3. (C) 4. (A) 5. (B)

6. (C) 7. (A) 8. (C) 9. (C) 10. (A)

11. (C) 12. (A) 13. (C) 14. (C) 15. (A)

16. (B) 17. (B) 18. (B) 19. (A) 20. (C)

21. (D) 22. (D) 23. (C) 24. (A) 25. (A)

26. (C) 27. (A) 28. (D) 29. (D) 30. (B)

31. (B) 32. (C) 33. (B) 34. (B) 35. (C)

36. (A) 37. (B) 38. (C) 39. (D) 40. (B)

41. (B) 42. (C) 43. (D) 44. (D) 45. (B)

46. (A) 47. (D) 48. (D) 49. (D) 50. (C)

51. (D) 52. (C) 53. (A) 54. (C) 55. (B)

56. (C) 57. (A) 58. (A) 59. (A) 60. (A)

61. (B) 62. (A) 63. (D) 64. (C) 65. (D)

66. (D) 67. (B) 68. (B) 69. (C) 70. (C)

71. (C) 72. (A) 73. (D) 74. (A) 75. (C)

SAMPLE PAPER 9TH STANDARD FOR - Rao IIT | medical-ug | boards | kvpy | ntse | olympiads sample paper...

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