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All India Sainik School Entrance Exam, 2006

(Class-VI)

Paper-I Mathematics and Language

Part-A : Mathematics

1. 12% of a certain sum of money is Rs. 43.50 P. Find the sum.

2. Find the numbers for the blanks to continue the series:

(a) 3, 8, 15, 24, …… (b) 4, 10, 18, 28

3. Divide Rs. 1530 into three shares proportional to the numbers 2, 3, 4.

4. Find the prime factors of 999999.

5. Find the diagonal of a rectangle whose sides are 12 metres and 5 metres.

6. Subtract

7. Express as mixed numbers.

8. What percentage is equivalent to 3/8?

10. Find the area of a triangle whose sides are 50 metres, 78 metres, 112 metres respectively.

11. Express a speed of 18 km per hour in metres per second.

12. In what time will Rs. 8500 amount to Rs. 15767.50 at per cent per annum Simple Interest?

13. ‘A’ can do a piece of work in 5 days, and ‘B’ can do it in 6 days. How long will they take if both work together?

14. Find the sum of

15. (a) Area of rectangle = ? (b) Area of square = ?

16. Find the circumference of a circle whose radius is 42 metres.

17. A man buys a pen for Rs. 25 and sells it for Rs. 23. Find his loss per cent?

18. 1/4 of a number subtracted from 1/3 of the number gives 12. The number is –

19. State, True or false.

(a) A parallelogram is a four-sided figure whose opposite sides are parallel.

(b) A rhombus is a parallelogram all of whose sides are equal.

20. The population of four towns is 35560, 30000, 27500 and 25600 respectively. What is the average population of a town?

21. Find the reciprocal of

22. Write the decimal form of

23. Simplify

24. Name any four objects from your environment having the shape of a cuboid.

25. Piyush lost 20% by selling a bicycle for Rs. 1536. Find the cost price of the bicycle.

26. Find S.I. on Rs. 5000 at 12% per annum for 3 years.

27. If 23% of a number is 46, find the number.

28. Write True (T) or False (F) for the following statements:

(a) Every rational number can be represented on a number line

29. Seven dozen oranges cost Rs. 91. Find the cost of 10 dozen oranges.

30. In ∆ ABC, ∠ABC, ∠A = 50°, ∠B = 50°, and ∠C = 80°. Which two sides of this triangle are equal.

Part-B : Language

1. Write an essay on any one of the following –

(a) Computer Revolution in India

(b) India of 21^st century

2. Read the following passage and answer the questions that follow –

The Taj Mahal is situated on the banks of Yamuna about six kilometers away from the city of Agra. It is one the most famous buildings in the world. Its beauty attracts thousands of travelers to our country. They come every year from all parts of the world to visit Agra and see the Taj, People plan their visit in such a way that they must be in Agra on full moon day. Under the clear cloudless sky, in the light of full moon, the Taj has a beauty that no one can forget and the still water of the pool before it, reflects building and adds to its beauty. Emperor Shah Jahan, the grandson of Akbar built the Taj. He built it in the loving memory of his queen Mumtaz Mahal. The building stands upon a large quadrangle. River Yamuna flows on one of its sides. On the other three sides there are high walls of red stone. Two exactly alike mosques face each other. The quadrangle is nine hundred and sixty feet long and three hundred and twenty nine feet wide. A large minar stands on each corner of the quadrangle. There are many flower plants and shady trees all around. There are many shops near the Taj. One can see many marble models of the Taj and beautiful articles of handicraft in these shops.

(a) Which river flows by the Taj Mahal?

(b) Why did Shah Jahan build the Taj?

(d) On what day most of the people wish to see the Taj Mahal?

(e) What is generally sold in the shop near the Taj?

3. Fill in the blanks by selecting the correct word –

(a) The boy …………… English fluently. (speak, speaks)

(b) My friends ………. here daily. (comes, come)

(d) Sometimes it …….. heavily. (rain, rains)

(e) Pathan …….. at last one bouncer in every over. (bowls, bowl)

(f) I do not ……. many friends. (have, has)

(g) I ….. like listening classical music. (do not, does not)

(h) Rabits ………. short tails. (have, has)

(i) My sisters ……….. English.

(j) The lion ………. (roar, roars)

4. Make meaningful sentences from words written below –

(a) Your, mind, business, own

(b) truth, loved, Gandhiji, ahimsa, and

(d) now, India, country, is, free, a

(e) four, for, I have, been, ill, days

5. Make a sentence with the given word –

(a) Fastest (b) Honest

(e) Jump

6. Correct the following sentences –

(a) I felt my hand to shake.

(b) We compelled her in accepting the offer.

(d) My mother continually worries about my future.

(e) Life can be compared to a stage.

7. Fill in the blanks with appropriate adjectives –

(a) is there …………….. money in your pocket. (such, any)

(b) I have to get up early ……. day. (very, every)

(d) He read ……… books he had. (a few, many)

(e) A ………. knowledge is dangerous (much, little)

8. Do as directed –

(a) Piyush saw an elephant. (Change into Negative)

(b) He did not go to school. (Change into Affirmative)

(d) He will never hurt you. (Change into Passive)

(e) Animals are loved by Children. (Change into Active)

9. Make sentences to bring out the difference between each pair of words in the following –

(a) Presume; Assume

(b) Regret; Sorrow

(d) Begin; Start

(e) Beautiful; Handsome

Paper-II: Intelligence Test

Direction: In each of the following questions find the odd one.

1. (a) Jesus (b) Buddha

2. (a) Raincoat (b) Umbrella

3. (a) Fox (b) Wolf

4. (a) Barber (b) Carpenter

5. (a) Gangtok (b) Singhbhum

6. (a) Carrot (b) Potato

7. (a) Coat (b) Socks

8. (a) January (b) March

9. (a) Bulb (b) Fan

10. (a) Lungs (b) Liver

Directions : In each of the following questions complete the series.

11. U, O, I, E, ……

(a) B

(b) C

(d) Z

12. A, C, F, H, ……..

(a) I

(b) J

(d) L

13. 3, 6, 18, 72, ………

(a) 144

(b) 288

(d) 360

14. 1, 2, 6, 24, ……..

(a) 72

(b) 120

(d) 96

15. 5, 16, 49, 104, …….

(a) 133

(b) 144

(d) 181

16. 1, 4, 9, 16, 25, ……..

(a) 35

(b) 36

(d) 64

17. 20, 19, 17, ………

(a) 12

(b) 13

(d) 15

18. 2, 3, 5, 7, 11, ………

(a) 12

(b) 13

(d) 15

19. 3, 9, 27, 81, …….

(a) 243

(b) 343

(d) 324

20. A, B, D, G, ……..

(a) M

(b) L

(d) H

Directions: In a certain language CHARCOAL is codes as 45164913 and MORALE is coded as 296137, how are the following words coded in that language?

21. ARCHER

(a) 164576

(b) 185476

(d) 184576

22. MECHRALE

(a) 26756137

(b) 27456137

(d) 29456137

23. ROCHEL

(a) 695478

(b) 691387

(d) 694573

24. LARCH

(a) 36145

(b) 31645

(d) 31456

25. MARCH

(a) 24615

(b) 25416

(d) 23456

26. COLLER

(a) 397758

(b) 497782

(d) 493376

27. REAL

(a) 8519

(b) 6713

(d) 6719

28. COACH

(a) 38137

(b) 49145

(d) 85145

29. ALLOCHRE

(a) 17693935

(b) 15933653

(d) 13368957

30. HEARL

(a) 57361

(b) 57163

(d) 57931

Directions : In each of the following questions, four words have been given, out of which three are alike in some manner and the fourth one is different. Choose out the odd one.

31.

(a) Jasmine

(b) Coriander

(d) Rose

32.

(a) Diving

(b) Driving

(d) Sailing

33.

(a) Cochin

(b) Vishakhapatnam

(d) Mumbai

34.

(a) Charan Singh

(b) S. Radhamkrishnan

(d) Chandrashekhar

35.

(a) Potato

(b) Ginger

(d) Cabbage

36.

(a) Birbal

(b) Faiz Ahmed

(d) Tansen

37.

(a) Lakshadweep

(b) Sikkim

(d) Manipur

38.

(a) Father

(b) Sister

(d) Friend

39.

(a) Thin

(b) Tall

(d) Small

40.

(a) Man

(b) Lion

(d) Deer

Directions : In each of the following sets of figures, select the one that is different from the rest.

41. (a) (b) (c) (d)

42. (a) (b) (c) (d)

43. (a) (b) (c) (d)

44. (a) (b) (c) (d)

45. (a) (b) (c) (d)

Directions : Each of the following questions, consists of unmarked figures followed by four figures mark (a), (b), (c) and (d). Select a figure from the marked figures which will continue the series established by the unmarked figures.

46. Problem Figures