SAMPLE PAPER 7TH STANDARD FOR - Rao IIT...(A) Distance = Speed Time (B) Time Distance = Speed (C) Distance = Speed×Time (D) 1 Distance = Speed×Time 37. The area of the shaded portion

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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 7TH STANDARD FORSTUDENTS ASPIRING ADMISSION IN 8TH 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 square of 6.4 is

(A) 40.96 (B) 20.20 (C) 30.32 (D) 40.42

2. Fill in the blank : ma a

b b

(A) m

n

ab

(B) m

m

ab

(C) n

m

ab

(D) n

n

ab

3. If 5 books cost Rs.30, then what is the cost of 42 books.

(A) 350 (B) 252 (C) 300 (D) 250

4. Solution of the following equation 8 y + 5 = 3y + 20 is

(A) y = 3 (B) y = 5 (C) y = 15 (D) y = 7

5. Today Sunita is three times as old as Sania. The sum of their ages is 40 years. What is the Sania’s age today?

(A) 10 years (B) 20 years (C) 15 years (D) 25 years

6. Ramrao sold for Rs.2000 a bicycle that he had brought for Rs.2500, what was his loss?

(A) 400 (B) 500 (C) 550 (D) 1500

7. The area of a rectangular field is 1800 sq.m. If its length is 60 m. What is its breadth ?

(A) 30 (B) 40 (C) 50 (D) 35

8. (x + 5)2 = ?

(A) 2 10 25x x (B) 2 5 20x x (C) 2 25 10x x (D) 2 25x

9. What is the volume of a cubic block having an edge of length 1.5 cm?

(A) 3.37 cc. (B) 2.27 cc. (C) 2.35 cc. (D) 23.2 cc.

10. If the length of a cuboid is 5.2 cm, its breadth 4.3 cm and height 2 cm. What is its volume ?

(A) 40.72 cc. (B) 44.72 cc. (C) 54.73 cc. (D) 64.50 cc

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11. If 2, 1p q and 3r find the value of 2 2 3p q r :

(A) –22 (B) 0 (C) –4 (D) 612. The sum of a number with 66 is 78. Find the number:

(A) 13 (B) 12 (C) 10 (D) 1113. In the following figure find the value of x :

(A) 150° (B) 144° (C) 122° (D) 115°14. In a two digit number, the digit at the unit place is 4 times the digit at the tens place and sum of the digits is

10. Then the number is :(A) 37 (B) 46 (C) 28 (D) 19

15. Simplify, 2 3 1 5 4 :

(A) 4 (B) 3 (C) 5 (D) 616. Find the perimeter of the given figure if the radius of the figure is 10 cm.

(A) 40.44 cm (B) 41.70 cm (C) 62.85 cm (D) 48.88 cm

17. If 2 ,3 ,X Y Y Z and , ,X Y Z are the angles of a triangle. Find the value of z :

(A) 65° (B) 130° (C) 90° (D) 100°18. The side of an equilateral triangles is 4 cm. What would be the measurement of perpendicular AD which is

the bisector of BC from vertex A to BC ?

(A) 2 (B) 2 3 (C) 3 (D) 2.3

19. A bank gives four points to its credit card holders for every Rs. 75. Steve earned 36 points. How much didhe spend ?(A) Rs. 375 (B) Rs. 450 (C) Rs. 675 (D) Rs. 600

20. A three-digits number is divisible by 8, 12 and 30. The smallest possible number is :(A) 108 (B) 120 (C) 240 (D) 360

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SCIENCE21. A simple pendulum takes 38 s to complete 19 oscillations. What is the time period of the pendulum?

(A) 38 sec (B) 19 sec (C) 2 sec (D) 1 sec

22. A electric bell works on the principle of _____________

(A) electricity (B) magnetism

(C) electromagnetism (D) None of these

23. Which amongst the following optical instruments forms virtual and smaller image in size all the times ?

(A) convex lens (B) concave lens (C) convex mirror (D) concave mirror

24. Light travels in a __________ line.

(A) cross (B) vertical (C) straight (D) None of these

25. The human ear cannot hear a sound of frequency less than _________ Hz.

(A) 25 Hz (B) 21 Hz (C) 22 Hz (D) 20 Hz

26. Which wire is used in electric bulb ?

(A) copper (B) nickel (C) aluminium (D) tungsten

27. Which acid is present in Lemons ?(A) vinegar (B) citric acid (C) tartaric acid (D) lactic acid

28. Water is a ________ substance(A) acidic (B) basic (C) neutral (D) all of these

29. What is the symbol of manganese ?(A) Zn (B) Mn (C) Mg (D) Ni

30. The chemical reaction that takes place between acids and bases is called______(A) acidic (B) basic (C) neutralisation (D) none of these

31. Which of these is not necessary for photosynthesis?(A) carbon dioxide (B) chlorophyll (C) light (D) nitrogen

32. Of the following identify the carnivorous plant(A) Pitcher plant (B) Venus fly trap (C) Both (A) and (B) (D) None of them

33. Digestion is(A) conversion of large food particles into small food particles(B) conversion of small food particles into large food particles(C) conversion of food into protoplasm(D) conversion of non-diffusible food particles into diffusible food

34. Asthma is a respiration disease caused due to(A) infection of trachea (B) infection of lungs(C) bleeding into pleuro cavity (D) spasm in bronchial muscles

35. About how much blood is in the circulatory system of an average person?

(A) 1 litre (B) 2 litres (C) 5 litres (D) 10 litres

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36. Which of the following relations is correct ?

(A) SpeedDistance =Time

(B) TimeDistance =Speed

(C) Distance = Speed×Time (D) 1Distance =Speed×Time

37. The area of the shaded portion in the graph shown below represents :

(A) Distance (B) Speed (C) Time (D) None of these

38. In increasing magnitude which of the following is correct ?

(A) m, cm, km, mm (B) mm, cm, m, km

(C) cm, mm, m, km (D) mm, m, cm, km

39. Ram & Rahim are pushing a body with equal forces of 50N each in opposite direction. Then the resultant

force acting on the body is :

(A) 100 N (B) 0 (C) 200 N (D) 10 N

40. The nature of motion of the pulley in a well is

(A) Rotational (B) Translational (C) Rectilinear (D) Circular

41. The SI unit of time is :

(A) Hour (B) Second (C) Minute (D) Day

42. Full form of SONAR is :

(A) Speed Navigation & Ranging (B) Sound Navigation and Ranging

(C) Sound of Noice at Rest (D) Southern Navigation & Radioactivity

43. Which of the following method of heat transfer is incorrect ?

(A) Radiation (B) Convection (C) Transluency (D) Conduction

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44. A lighting conductor is fitted on tall buildings to :

(A) Measure the length of building

(B) Fit light bulb at the top of conductor

(C) Protect building from lighting strikes

(D) All of the above

45. White light is made up different colours and they are :

(A) Violet, Blue, Indigo, Green, Orange, Red

(B) Blue, Indigo, Green, Orange, Red, Yellow, Black

(C) Violet, Indigo, Blue, Green, Yellow, Orange, Red

(D) Yellow, Orange, Red

46. ___________ is the most abundant element in earth’s crust :

(A) Si (B) Al (C) O2 (D) Fe

47. When a solid converts into liquid, the amount of heat is

(A) Released (B) Absorbed

(C) Both (A) & (B) (D) Neither (A) nor (B)

48. Which of the following is not an indicator :

(A) Methylorange (B) Litmus (C) Phenophthalein (D) Sunflower

49. When a drop of phenophthalein is introduced in lime water, the solution turns :

(A) Blue (B) Milky (C) Red (D) Pink

50. The molecular formula for sugar is

(A) 6 12 6C H O (B) 12 22 11C H O (C) 6 6 6C H O (D) 12 22 12C H O

51. In cockroaches, air enters the body through

(A) lungs (B) gills (C) spiracles (D) skin

52. During heavy exercise, we get cramps in the legs due to the accumulation of

(A) carbon dioxide (B) lactic acid (C) alcohol (D) water

53. Which part of the plant takes in carbon dioxide from the air for photosynthesis?

(A) Root hair (B) Stomata (C) Leaf veins (D) Sepals

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LOGICAL REASONING54. Find the missing term

84

14 12

81

18 9

88

? 11

(A) 16 (B) 21 (C) 61 (D) 8155. AZ, YB, CX, WD , _____?

(A) VE (B) UE (C) EU (D) EV56. If MAN is coded 28, what will be the code for CHILD ?

(A) 25 (B) 36 (C) 49 (D) 6457. 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) O (D) None of these

58. Solve, 48 12 / 4 6 / 2 3 ?

(A) 19 (B) 28 (C) 18 (D) 3859. How many squares are there in the following figure ?

(A) 13 (B) 14 (C) 16 (D) 1560. If the TRAIN is coded as RPYGL, the code for SCOOTER would be

(A) QAMMRCP (B) QBNNRCP (C) QAMMSBP (D) QBNNSBP61. Identify the following personality:

(A) J. Tata (B) D.B. Ambani (C) A. Birla (D) Yash Chopra

62. Where is the Dal Lake in India ?

(A) Bihar (B) Chhattisgarh (C) Orissa (D) Jammu & Kashmir63. In the following question, choose the words that show the same relationship as given in the questions.

Paisa-Rupee, centimetre - metre, Gram - ?(A) Metric tonne (B) Hectogram (C) Quintal (D) Kilogram

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64. He________ follows two hares catches neither :

(A) When (B) While (C) Who (D) Why

65. Perseverance is the very hinge ______all virtues.

(A) Than (B) For (C) Of (D) With

66. 1,1,4,8,9,27,16, ?

(A) 56 (B) 68 (C) 64 (D) 72

67. 2,5,10,17,26,

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

68. The 2008 Mumbai attacks at Taj Mahal Palace & Tower took place on ?

(A) 22 Nov (B) 26 Nov (C) 23 Nov (D) 25 Nov

69. Who gave the slogan “Swaraj is my birth-right and I shall have it” ?

(A) Bhagat Singh (B) C. Rajagopalchari

(C) Sukhdev (D) Bal Gangadhar Tilak

70. Identify the logo

(A) Himachal Pradesh Petroleum (B) Hindustan Petroleum

(C) Hind Petroleum (D) None of these

Direction(Question 71 to 75) : Study the figure carfully and answer the given :Here, big triangle represents artists, small 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

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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) L

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Answer Key

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

SAMPLE PAPER 7TH STANDARD FOR - Rao IIT...(A) Distance = Speed Time (B) Time Distance = Speed (C) Distance = Speed×Time (D) 1 Distance = Speed×Time 37. The area of the shaded portion

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