Pioneer’s Cl… · The king, queen and jack of clubs are removed from a deck of 52 playing cards...

Pioneer’s Aspire Scholarship Exam

8th CBSE Examination Centre: Pioneer Education, Sector – 40-D

Name: _______________________________________Father Name:_________________________________

Mobile: ______________________________________School: ________________________________________

General Instructions:

The question paper contains 90 multiple choice questions.

There are two sections in the question paper

Section: A– MATHEMATICS (1 to 45)

Section: B– SCIENCE (46 to 90)

Each right answer carries 4 marks and − 1 for every wrong answer.

The Maximum marks are 360 and Maximum Time 2.00 hrs.

Give your response in the OMR Sheet provided with the Question Paper.

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Section – A {Mathematics}

1. Simplify : 2/3 4/3

1 1

216 27

(a) 3

4 (b)

9

4 (c)

4

9 (d)

4

3

2. Find the value of x, if x 2( 6) 1.

(a) x = 3 (b) x = 4 (c) x = 2 (d) x = 1

3. Find x, if 5x + 5x–1 = 750.

(a) x = 4 (b) x = 3 (c) x = 1 (d) x = 2

4. Express the answer with positive indices :

4

43

73

1x y

xy

(a) 8

2

y

x (b)

2

4

x

y (c)

4

8

x

y (d)

8

4

y

x

5. The difference between compound interest and simple interest at 5% per annum in 2 years is Rs. 30.

Find the sum.

(a) 14, 000 (b) 12, 000 (c) 13000 (d) 11000

6. At what rate per cent per annum, compound interest will Rs. 10, 000 amount to Rs. 13, 310 in three

years?

(a) 15% (b) 20% (c) 10% (d) 5%

7. By selling 288 hens, Malleshwari lost the S.P. of 12 hens. Find her loss percent.

(a) 2 % (b) 4% (c) 6% (d) 8%

Space For Rough Work




8. A table with marked price Rs. 2400 was sold to a customer for Rs. 2200. Find the rate of discount

allowed on the table.

(a) 1

8 %.3

(b)1

10 %.3

(c) 1

6 %.3

(d) 1

4 %.3

9. Divya bought a set of cosmetic items for Rs. 345 including 15% sales tax and a purse for Rs. 110

including 10% sales tax. What per cent is the sales tax charged on the whole transaction?

(a) 15.7% (b) 17.5% (c) 13.7% (d) 13.9%

10. Price of a DVD player including 12% VAT is 4480. Find the price of DVD player before VAT is added.

(a) 4500 (b) 6000 (c) 5000 (d) 4000

11. Find the area of rectangle if its length is (3x + 5) and breadth is (2y + 4).

(a) 6xy + 12x + 10y + 20 (b) 6xy – 12x + 10y + 20

(c) 6xy + 12x + 8y + 20 (d) 6xy + 12x + 8y + 20

12. Find the product : 2 21 1 2a 2b a ab 4b .

3 9 3

(a) 3 318b a

27 (b) 3 31

a 8b27

(c) 2 21a 8b

27 (d) 3 31

a 8b27

13. Simplify : (4m + 5n)2 + (5m + 4n)2

(a) 2 241m 41n (b) 2 241m 41n 80mn (c) 2 216m 25n 40mn (d) None of these

14. Add : 3(a + b +c) and (a + b) (a – b – c).

(a) a2 + b2 + ac + bc + 3a + 3b + 3c (b) a2 – b2 – ac – bc + 3a + 3b + 3c

(c) a2 – b2 + bc + ac + 3a + 3b + 3c (d) a2 – b2 – ac – bc – 3a – 3b – 3c

15. By what number (–9)–1 should be multiplied so that the product may be equal to (–12)–1?

(a) 3

4 (b)

3

4 (c)

4

3 (d)

4

3





16. Simplify the following:40

1 19 2 5[5 5 ]

2.

(a) 402 (b) 40

1

2 (c)

201

2 (d) 202

17. The number 0.000675 can be written as

(a) 675 10–6 (b) 67.5 10–5 (c) 6.75 10–4 (d) All of these

18. On a scale map 0.6 cm represents 6.6 km. If the distance between two points on the map is 80.5 cm,

what is the actual distance between these points?

(a) 885.5 km. (b) 885.7 km (c) 887.7 km (d) 887.5 km

19. 120 men had food provision for 200 days. After 5 days, 30 men died due to an epidemic.

How long will the remaining food last?

(a) 240 days (b) 250 days (c) 260 days (d) 230 days

20. The price of sugar goes up by 20%. By how much percent must a house wife reduce her consumption so

that the expenditure does not increase?

(a) 2

16 %5

(b) 2

16 %3

(c) 2

16 %7

(d) 2

16 %9

21. A dealer buys an article for Rs 380. At what price must he mark it so that after allowing a discount of

5%, he still makes a profit of 25%?

(a) Rs 700 (b) Rs 500 (c) Rs 900 (d) Rs 1100

22. The population of a town 2 years ago was 62500. Due to migration to cities, it decreases every year at

the rate of 4% per annum. Find its present population.

(a) 57300. (b) 57500. (c) 57600. (d) 57400.





23. The following pie-chart shows the monthly expenditure of a family on food, clothing, rent,

miscellaneous expenses and savings. If the family spends Rs 825 on clothing,

Then, What is the total monthly income of the family?

(a) Rs 8230 (b) Rs 8240 (c) Rs 8250 (d) Rs 8260

24. In Question 23, What percent of the total income does the family save?

(a) 15% (b) 20% (c) 25% (d) 30%

25. The king, queen and jack of clubs are removed from a deck of 52 playing cards and the well shuffled.

One card is selected from the remaining cards. Find the probability of getting a heart

(a) 1

49 (b)

1

4 (c)

13

49 (d) None of these

26. 17 cards numbered 1, 2, 3, …, 17 are put in a box and mixed thoroughly. One person draws a card from

the box. Find the probability that he number on the card is :

divisible by 3 and 2 both

(a) 11

17 (b)

5

17 (c)

2

3 (d)

2

17





27. Cards marked with the numbers 2 to 101 are placed in box and mixed thoroughly. One card is drawn

from this box. Find the probability that the number on the card is an even number

(a) 51

100 (b)

1

2 (c)

49

100 (d)

3

25

28. Two dice are thrown simultaneously. Find the probability of getting a multiple of 3 as the sum.

(a) 1

3 (b)

11

36 (c)

1

12 (d)

1

6

29. The probability that it will rain tomorrow is 0.85. What is the probability that it will not rain tomorrow?

(a) 1

85 (b) 0.25 (c) 0.15 (d) Can’t be determined.

30. When two dice are rolled: Find probability of getting an odd total.

(a) 7

36 (b)

1

2 (c)

13

36 (d)

11

36





31. The following histogram shows the frequency distribution of the ages of 22 teachers in a school:

What is the number of eldest and youngest teachers in the school?

(a) 1,2 (b) 2,1 (c) 6, 5 (d) 6, 1

32. In Question 31, Which age group teachers are more in the school and which least?

(a) 20–25, 50–55 (b) 30–35, 50–55 (c) 35–40, 40–45 (d) 35–40, 50–55

33. Shalu cycles to her school at an average speed of 12 km/hr. It takes her 20 minutes to reach the school.

If she wants to reach her school in 15 minutes, what should be her average speed?

(a) 12 (b) 14 (c) 16 (d) 18

34. In 10 days, the earth picks up 2.6 108 pounds of dust from the atmosphere. How much dust will it

pick up in 45 days?

(a) 11.7 108 pound (b) 11.7 106 pound

(c) 11.3 108 pound (d) 11.9 106 pound





35. Find the continued product : y y

x 1 x 15 5

(a) 2

2 y 2yx 1

25 5 (b)

22 y 2y

x 125 5

(c) 2

2 y 2yx 1

25 5 (d)

22 y 2y

x 125 5

36. If 2

2

1x 27

x, find the value of

1x

x

(a) +5 (b) 5 (c) –5 (d) 29

37. Simplify : 2 3 4 2 3 2a b a a 1 ab a 2a 2a b a a 1

(a) a (b) b (c) b2 (d) a2

38. Subtract : 3a(a + b + c) – 2b (a – b + c) from 4c (–a + b + c)

(a) 7ac + 6ac + 4c2 – 3a2 – ab – 2b2 (b) –3a2 – 7ab – 2b2 + 4c2

(c) –7ac + 6ac + 4c2 – 3a2 – ab – 2b2 (d) 7ac – 6bc – 4c2 + 3a2 – ab – 2b2

39. 5 5

2 5

3 7is equal to

(a)10

2 5

3 7 (b)

52 5

3 7 (c)

252 5

3 7 (d)

252 5

3 7

40. By what number should (–15)–1 be divided so that the quotient may be equal to (–5)–1 ?

(a) 1

4 (b)

1

5 (c)

1

2 (d)

1

3

41. Find the compound interest on Rs 8000 for 1

12

years at 10% per annum, interest being payable

half-yearly.

(a) 1261 (b) 1260 (c) 9261 (d) 1259





42. Reena goes to a shop to buy a radio, costing Rs 2568. The rate of value added tax is 7%. She tells the

shopkeeper to reduce the price of the radio to such an extent that she has to pay Rs 2568, inclusive of

value added tax. Find the reduction needed in the price of the radio.

(a) Rs 166 (b) Rs 164 (c) 168 (d) 162

43. Find the M.P, if S.P. = Rs 9250 and, Discount = 1

7 %2

(a) Rs 15000 (b) Rs 10000 (c) Rs 5000 (d) 20000

44. 200 kg of sugar was purchased at the rate of Rs 15 per kg and sold at a profit of 5%. Compute the selling

price per kg.

(a) 15.75 (b) 15.57 (c) 15.55 (d) 16.75

45. A dishonest dealer professes to sell his goods at cost price, but he uses a weight of 960 grams for 1 kg.

Find his gain percent.

(a) 1

4 %4

(b)1

4 %8

(c) 1

4 %2

(d) 1

4 %6





Section – B {Science}

46. Kaleidoscope is based on the pattern of ____________.

(a) reflection (b) multiple reflection (c) spectrum (d) diffused reflection

47. When two mirrors are placed parallel to each other, and a candle is placed in the centre of the mirrors

_______________number of images will be formed.

(a) infinite (b) three

(c) six (d) no image will be formed

48. The difference in the colour of the eye is due to difference in :

(a) retina (b) iris (c) sclera (d) pupil

49. The disease of eye in which crystalline lens becomes hazy or even opaque due to development of

membrane over it is :

(a) Myopia (b) Cataract (c) Hypermetropia (d) Presbyopia

50. The cells present in the retina of eye and responding to intensity of light are :

(a) Rod-shaped cells (b) Both of these (c) Cones (d) None of these

51. Far point of a normal human eye is situated at :

(a) 25 m (b) 25 mm (c) 25 cm (d) Infinity

52. The focal length of the eye-lens is changed by :

(a) Retina (b) Iris (c) Pupil (d) Ciliary muscles

53. Front bulged part of the eyeball is called :

(a) Cornea (b) Choroid (c) Pupil (d) Retina

54. The non-contact force is :

(a) magnetic force (b) electrostatic force (c) force of gravity (d) all of these

55. The force exerted on a normal human being due to atmospheric pressure is :

(a) 2 104N (b) 2 105 N (c) 2 106 N (d) none of these

56. The pressure exerted by a liquid :

(a) decreases with depth (b) does not change with depth

(c) increases with depth (d) is different in different directions at the same depth

57. Under which condition can a moving object change its direction :

(a) by reducing friction (b) by increasing friction

(c) by applying force (d) by not applying force




58. When we press the bulb of a dropper with its nozzle kept in water, air in the dropper is seen to escape

in the form of bubbles. Once we release the pressure on the bulb, water gets filled in the dropper. The

rise of water in the dropper is due to :

(a) pressure of water (b) gravity of the earth

(c) shape of rubber bulb (d) atmospheric pressure

59. Knives, needles, saws are made sharp or pointed to :

(a) decrease pressure (b) can’t say

(c) increase pressure (d) none of these

60. The unit of pressure is :

(a) Newton (b) Newton/metre2 (c) Newton metre2 (d) Newton/metre

61. The instrument used to measure pressure of liquids is :

(a) barometer (b) manometer (c) pressure meter (d) none of these

62. The changes which occur at adolescence are controlled by :

(a) enzymes (b) balanced diet (c) hormones (d) none of these

63. The unfertilised egg always has ____X chromosome.

(a) two (b) one (c) four (d) none of these

64. Menopause is :

(a) beginning of menstrual flow (b) stoppage of menstrual flow

(c) attachment of embryo with uterus (d) none of these

65. Which of the following hormones is secreted by pituitary gland :

(a) insulin (b) thyroxine (c) growth (d) adrenalin

66. Which of the following endocrine gland is called master gland :

(a) pituitary gland (b) adrenal gland (c) thyroid gland (d) pancreas

67. Hormones reaches to different parts :

(a) with lymph (b) by ducts (c) with blood (d) none of these

68. When electric current is passed through the copper sulphate solution, copper sulphate dissociates

into :

(a) copper and sulphur (b) copper and oxygen

(c) copper and sulphate (d) none of these




69. A battery is used to :

(a) convert chemical current into electric current

(b) maintain a potential difference

(c) measure the current

(d) measure the temperature

70. When current flows through a conducting solution then the electrode connected to the positive

terminal of the battery is called :

(a) anode (b) cathode (c) rod (d) none of these

71. Magnetic compass connected in a circuit is used to check :

(a) magnetism in electric current (b) slow current

(c) small current (d) none of these

72. Adding lime water to tap water makes it :

(a) an electrolyte (b) electrolysis (c) no change occur (d) none of these

73. Electroplating is a process which is :

(a) magnetic effect of electricity (b) heating effect of electricity

(c) chemical effect of electricity (d) none of these

74. Sound :

(a) can travel through vaccum

(b) cannot travel through vaccum

(c) sound can sometimes travel through vaccum

(d) none of these

75. Number of vocal cords in human is :

(a) one (b) two (c) four (d) none of these

76. Trees planted along the roads reduces the harmful effect of :

(a) noise pollution (b) air pollution (c) both (a) and (b) (d) none of these

77. The ultrasound equipment works at frequencies :

(a) higher than 20, 000 Hz (b) lower than 20, 000 Hz

(c) less than 20 Hz (d) none of these

78. The frequency determines the ________________of a sound.

(a) loudness (b) pitch (c) both loudness and pitch (d) none of these

79. Voice of which of the following is likely to have minimum frequency :

(a) baby girl (b) baby boy (c) a man (d) a woman




80. If the amplitude becomes twice then the loudness of sound increases by a factor of :

(a) 2 (b) 4 (c) no change (d) none of these

81. A shehnai produces sound from :

(a) vibrating strings (b) vibrating membrane (c) vibrating air column (d) none of these

82. A charged balloon ______________a charged refill.

(a) attracts (b) repels (c) neither attracts nor repels (d) none of these

83. On rubbing ______________electricity is produced.

(a) static (b) current (c) both (a) and (b) (d) none of these

84. Which of the following occurs during lightning :

(a) nitrogen fixation (b) greenhouse effect (c) acid rain (d) none of these

85. Areas falling on joints of seismic plates are called :

(a) safe zones (b) fault zones (c) high zones (d) none of these

86. We hear a thunder because :

(a) a lot of energy is released (b) air heats up and explode

(c) a lot of charge goes in lightning (d) clouds bang against each other

87. When a glass rod is rubbed with a piece of silk cloth the rod :

(a) and the cloth both acquire positive charge

(b) becomes positively charged while the cloth has a negative charge

(c) and the cloth both acquire negative charge

(d) becomes negatively charged while the cloth has a positive charge

88. Which of the following has negative charge :

(a) woolen cloth (b) comb (c) paper (d) cotton cloth

89. Any object can be charged by which of the following methods :

(a) friction (b) contact (c) induction (d) all of these

90. When ebonite rod is rubbed with woolen cloth then ebonite rod has :

(a) negative charge

(b) positive charge

(c) sometimes negative charge and sometimes positive charge

(d) no charge

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Pioneer’s Cl… · The king, queen and jack of clubs are removed from a deck of 52 playing cards...

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