sample paper 8th standard for - rao iit questions based on maths, science, logical reasoning. 9. all...

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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 8TH STANDARD FORSTUDENTS ASPIRING ADMISSION IN 9TH 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. The number which is neither prime nor composite is -

(A) 4 (B) 1 (C) 2 (D) 5

2. What is the area of trapezoid QRST in square units ?

(A) 22 (B) 27 (C) 38 (D) 48

3. The arithmetic mean of the observations from the data 3, 4, 6, 8, 14, x, y is 5, then the value of sum is -(A) 35 (B) 32 (C) 36 (D) 33

4. What is the length of YZ ?X

Y

8 cm 17 cm

Z

(A) 9 cm (B) 15 cm (C) 19 cm (D) 25 cm

5. If 2 24 4 , then : isx y xy x y (A) 2 : 1 (B) 1 : 2 (C) 1 : 1 (D) 1 : 4

6. Total area of quadrilateral ABCD is 20 cm2 and perpendiculars on BD are 2cm and 3cm, the length of BD isD C

BA

EF

(A) 5 cm (B) 6 cm (C) 8 cm (D) 10 cm

7. The LCM of two numbers is x and their HCF is y. The product of two numbers is

(A) xy (B)

yx (C) x y (D) xy

8. The value of x which satisfy the equation 2x – 1 = 4x + 3, is

(A) 2 (B) –2 (C) 1–2 (D)

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9. An acute angle is an angle whose measure is between 0° and 90°. Using the rays in the diagram,how many different acute angles can be formed ?

(A) 12 (B) 9 (C) 15 (D) 10

10. The solution of 3 5 13 is9

xx

(A) 52 (B) 5 (C) 1 (D)

73

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11. 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

12. If 223x then the value of isxx 2/12/1

(A) 2 (B) 22 (C) 23 (D) 3

13. (8x3 + 11x) 3x

(A) 311x

38 2 (B) x11x

38 3 (C) x

311x

38 2 (D) 24 x33x24

14. The ratio of three numbers is 3 : 4 : 7 and their product is 18144. The numbers are :(A) 9, 12, 21 (B) 15, 20, 25 (C) 18, 24, 42 (D) None of these

15. The diameter of circular park is 64 mtrs. A path way 2mtrs wide runs round the park. The lengthof wire required for fencing along the outer boundry of the path way is(A) 202.42 metres (B) 220.30 metres (C) 210.45 metres (D) 213.52 metres

16. A rectangular sheet of card board is 4 cm by 2 cm. The greatest possible circle is cut from the cardboard. Then the remaining area is(A) (16 – ) cm2 (B) (16 – 4 ) cm2 (C) (8 – ) cm2 (D) None of these

17. What is the length of YZ ?X

Y

8 cm 17 cm

Z

(A) 9 cm (B) 15 cm (C) 19 cm (D) 25 cm

18. O is the centre of the circle. Find the value of x ?

(A) 45° (B) 90° (C) 60° (D) 30°

19. The following data have been arranged in descending orders of magnitude 75, 70, 68, x + 2,x –2, 50, 45, 40 If the median of the data is 60, find the value of x.(A) 50 (B) 60 (C) 40 (D) 30

20. A 400 m long train is running at the speed of 60 km per hour. It crosses a bridge of length 800 m in -

(A) 623 seconds (B) 20 seconds (C) 2 seconds (D) 72 seconds

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SCIENCE21. A bicycle averages 4.5 meters per second while travelling for 10 minutes. How far does it travel ?

(A) 2700 m (B) 2800 m (C) 2500 m (D) 2400 m

22. Absolute zero corresponds to ............

(A) –273.15 °C (B) 273°C (C) –274°C (D) none of these

23. A magnet can be demagnetised by

(A) Hammering the magnet (B) Putting it in the water

(C) Cooling it (D) Putting in contact with iron

24. At the mean position, Potential Energy of simple pendulum is:

(A) mgh (B) 212

mv (C) zero (D) none of these

25. The rate of change of displacement with time is called

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

26. The nucleus of an atom is -

(A) Positively charged (B) Negatively charged(C) Neutral (D) None of these

27. The main component of CNG is -(A) Methane (B) Propane (C) Butane (D) Pentane

28. Neutralization is a ............... reaction.(A) Redox (B) Double displacement(C) Single displacement (D) Combination

29. The most abundant element in the earth’s crust (by weight) is -(A) Si (B) Al (C) O (D) Fe

30. Cellulose nitrate is used as(A) a fiber (B) a lubricant (C) an explosive (D) a film

31. World forestry day is(A) 1st December (B) 21st March (C) 5th June (D) 1st May

32. The two arms of a chromosomes are joined at(A) chromatids (B) telomere (C) chromonema (D) centromere

33. Which human disease is caused by a virus?(A) tuberculosis (B) polio (C) leprosy (D) typhoid

34. The total number of bones in the adult human body is(A) 266 (B) 206 (C) 260 (D) 216

35. The site of protein synthesis is(A) Cytoplasm (B) nucleolus (C) ribosome (D) centriole

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36. A car increases its speed from 36 km/hr to 72 km/hr in 10 s. It’s acceleration is?(A) 1 m/s2 (B) 2 m/s2 (C) 3.6 ms/2 (D) 5 m/s2

37. When an apple falls from a tree:(A) only earth atracts the apple(B) only apple attracts the earth

(C) both the earth and apple attract each other(D) none of these

38. If there is no flow of charge between two charged bodies when they are connected to each other:(A) they have the same quantity of charge (B) they have the same capacity

(C) they have the same potential (D) none of these39. Mirages are observed in deserts due to the phenomenon of

(A) interference of light (B) total internal reflection of light

(C) scattering of light (D) double refraction of light40. Our household electric cable routing are connected in:

(A) In parallel arrangement (B) in series arrangement

(C) both (A) and (B) (D) none of these41. Process of conversion of wood into coal by biochemical process, taking over millions of years is called :

(A) catenation (B) carbonation (C) pyrolysis (D) destructive distillation42. Coke is used in the preparation of :

(A) CO + H2

(B)CO + N2

(C) graphite artificially (D) diamond artificially43. Non-metals form :

(A) cations (B) anions (C) anions and cations (D) do not form ions44. Metals tend to form :

(A) cations (B) anions (C) cations and anions(D) do not form ions45. Noble gases do not react because they have_____electrons in their valence shell.

(A) 3 (B) 6 (C) 1 (D) 846. Active divisions take place in the cells of :

(A) Xylem (B) Phloem (C) Sclerenchyma (D) Cambium47. The group of petals is called:-

(A) sepals (B) calyx (C) root (D) None of these48. Pollen grains are produced by:-

(A) ovary (B) anther (C) stigma (D) petal49. Leprosy is also famous as -

(A) Koch’s disease (B) Hensen’s disease (C) Pertussis (D) Cholera50. Biological methods of pest control involve-

(A) Spraying chemical to kill plants (B) Killing pests by using other pest

(C) Spraying DDT (D) Weeding

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LOGICAL REASONING

51. Find the missing term : 3, 1, 4, 5, 9, 14, 23 , ?

(A) 32 (B) 37 (C) 41 (D) 28

52. If TOWER is coded 81. What will be the code for POWER?

(A) 75 (B) 55 (C) 18 (D) 77

53. In the alphabet series which letter is midway between 22nd letter from the left and 21st letter from the right

(A) L (B) M (C) N (D) none of these

Direction: (54 to 55) In the following questions, choose the words that show the same relationship as given in theeach questions.

54. Hour is related to Second, in the same way as Tertiary is related to ?

(A) ordinary (B) secondary (C) primary (D) intermediary

55. Bank is related to Money in the same way as Transport is related to ______

(A) goods (B) road (C) terrace (D) floor

Direction: (56 to 59) In each of the following questions there are two terms ot the left of the sign :: which arerelated in some way. Obtain the same relationship between the term to the right of the sign :: from one of thefour alternatives given under it.

56. Light : Ray : : Sound : _____?

(A) hear (B) wave (C) audio (D) pitch

57. AZB : BYC : : CXD : ?

(A) DWE (B) DEF (C) DFG (D) DMN

58. PUNJAB : AMRITSAR : : __________ : __________

(A) Golden Temple : Amritsar (B) Moscow : Russia

(C) India : Asia (D) Agra : Tajmahal

59. CG : EI : : FJ : ?

(A) JK (B) IJ (C) LM (D) GK

60. Select the series in which the letters skipped in between adjacent letters decrease in order

(A) AGMRV (B) HNSWA (C) NSXCH (D) SYDHK61. Arrange the given words in alphabetical order and tick the one that comes last.

(A) plane (B) plain (C) player (D) place62. Select the series in which the letters skipped in between adjacent letters decrease in order

(A) AGMRV (B) HNSWA (C) NSXCH (D) SYDHK

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Direction (63 to 64)Read following information carefully and answer the questions given below it.(i) A and B are good in Biology and Chemistry.(ii) A and C are good in Biology and Physics.(iii) C, D and E are good in Physics and History.(iv) C and E are good in Physics and Mathematics.(v) D and B are good in Chemistry and History.

63. Who is good in Physics, History and Mathematics but not in Biology ?(A) D (B) C (C) A (D) E

64. Who is good in Physics, History and Mathematics and Biology ?(A) C (B) E (C) D (D) B

65. A clock is started at noon. By 10 minutes past 5 the hour hand has turned through

(A) 140° (B) 145° (C) 150° (D) 155°66. Which alphabet is opposite D ?

D

AF

(i) (ii)

F EC

(A) E (B) C (C) F (D) A

67. Which of the following year is a leap year?

(A) 1882 (B) 1806 (C) 1296 (D) 1962

68. If in any code language TARGET is coded as UYUCJN then which word is coded as VICTORY inthat language ?

(A) UKZXJXR (B) UKYXJDR (C) UKYXJWD (D) None

69. If air is called water, water is called green, green is called dust, dust is called yellow and yellowis called cloud, which of the following does fish live in ?

(A) Air (B) Water (C) Green (D) Dust

In the following question, a group of three interrelated words is given. Choose a word from the givenalternatives, that belongs to the same group.

70. Botany : Zoology : Cardiology

(A) Morphology (B) Seismology (C) Pedology (D)Taxonomy

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

Here, big triangle represents artists, samll triangle reprsensts scientists, 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. (B) 2. (C) 3. (A) 4. (B) 5. (A)

6. (C) 7. (D) 8. (B) 9. (D) 10. (C)

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

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

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

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

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

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

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

46. (D) 47. (D) 48. (B) 49. (B) 50. (B)

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

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

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

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

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

sample paper 8th standard for - rao iit questions based on maths, science, logical reasoning. 9. all...

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