Previous Paper (Solved)

All India Sainik School Entrance Exam, 2005

(Class-VI)

Paper-I Mathematics and Language

Part-A : Mathematics

1. Area of a rectangle is 12 sq. cm its length is 4 cm. Find its breadth.

2. Write the prime factor of 48.

3. The difference of two numbers is 190825308. If the greater number is 212122202. Find the smaller number.

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

(a) 1, 9, 25, 49, ……… (b) 2, 5, 10, 17, ……..

5. What is the circumference of a circle whose radius is 4.9 cm?

6. Convert into smallest fraction : 0.75 =

7. Find the square of 0.02.

8. Solve the sum and write the sum in decimals :

10. Express in the percentage form.

11. A motor car starts from a city ‘A’ at 5.30 A.M. and reaches city ‘B’ 360 km. away at 11.30 A.M. Find the average speed of the motor car.

12. ABCD is a parallelogram. If ∠A = 120°, Find ∠D.

13. Simplify : 0.077 ÷ 7 – 0.005 ÷ 5

14. Find the simple interest on an amount of Rs. 1250 for 4 years at 6% per annum.

15. A tank is 5m long, 4m wide and 3m high. How much water can it hold?

16. The radius of a circle is 7 cm. The length of its semicircle approximately is:

(a) 14 cm (b) 22 cm

17. Arun buys an article for Rs. 500 and sells it to Ravi at a profit of 10%. Find the price paid by Ravi.

18. Which is greater of 342 or 60% of 300?

19. State True or False: –

(a) A line does not have a definite length.

(b) A line has no end points.

20. A bag contains of sugar. How much sugar do 10 such bags contain?

21. When a solid is immersed in water standing to a height of 20 cm in a vessel, the water level was raised 1/3 of its level. What is the present height of water level? What is the percentage of increase in height?

22. Ramesh spends 15% of his salary on house rent and 20% of his salary on food, how much does he spend monthly for house rent and food together if his salary is Rs. 7000 per month.

23. Simplify :

24. Mohan got 120 marks out of 250, Neeta 140 out of 280, whose score is higher?

25. Find the area of the following figure :

26. The capacity of two types of containers is respectively. How much water will be required to fill 12 tins of first type and 15 tins of second type?

27. During a journey, a train covers 493 kms, in 5 hrs. 48 minutes. Find its average speed.

28. A cuboid is 4 cm long 3 cm broad and 2 cm high and a cube has an edge of 3 cm. Which one has a greater volume?

29. Write True or False :

(a) A quadrilateral ABCD is a trapezium if AB || CD

(b) Cost Price = Selling Price – Loss

(d) An angle whose measure is greater than 90° is an obtuse angle.

(e) A triangle can have two right angles.

30. A watchmaker bought an old watch for Rs. 80. He spend Rs. 10 on its repair and sells it for Rs. 117. Find his gain or loss per cent.

Part-B : Language

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

(a) What would I like to become on growing up?

(b) A Rainy Day

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

A man shot a crane and gave it to his servant. The servant roasted it and ate one of hits legs. Then he put the roasted crane in a plate on the dinner table.

The master came and sat down for dinner. he turned the crane upside down and asked, “Where is the other leg?”

The servant replied, “A crane has one leg, Sir.” Next morning the master and the servant went together to the river bank. A crane was standing in the water on one leg. The master clapped his hands; the crane lowered its other leg and flew away.

The master turned to his servant and said, “Look at that crane. It has two legs.”

The servant replied. “That is true, Sir. But you didn’t clap your hands yesterday and so the crane on your plate didn’t lower its other leg.”

(a) Why did the man give the crane to his servant?

(b) What did the master notice about the roasted crane on his plate?

(d) Why did the master clap his hands?

(e) Was the servant a clever person? How can you say that?

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

(a) There is ……. dirt on this plate. (some, a)

(b) Mary wants ……… doll with blue eyes. (an, the

(d) They knew all about my friend and …….. (I, me)

(e) These mangoes are …….. cheap that they cannot be good. (so, too)

(f) I haven’t …….. more information for you. (some, any)

(g) I want …….. of these two things. (none, neither)

(h) He used to come here daily, …….. (didn’t he?, did he ?)

(i) He ………. a good speech yesterday. (gave, made)

(j) The coffee is ……. hot to drink. (too, enough)

4. In the following sentences some words are given in bold. Frame your own sentences by using these words –

One afternoon a big wolf waited in a dark forest. A little girl came along. She was the daughter of a woodcutter and she was carrying a basket of food to her grandmother.

5. Make meaningful sentences from words written below –

(a) hot, was, the sun, burning

(b) garden, a, our, has, school, beautiful

(d) water, were, flooded, soon, with, streets, the

(e) work, he, any, kind, hated, of

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

(a) Act; Action (b) Artful; Artificial

(e) Loudly; Aloud

7. Do as directed –

(a) She wants some more tea. (Change into Negative)

(b) Misha is as tall as Renu. (Change into Comparative Degree)

(d) City is a big town. (Change into Plural)

(e) The Taj Mahal is a very beautiful building. (Change into Exclamatory Sentence)

8. Correct the following sentences –

(a) This chain is mine, not your.

(b) She is a member of the woman’s club.

(d) She asked him that what your name is.

(e) She has a ugly face.

9. Match the following Adjectival words with the Proper Nouns –

(a) Happy (b) Good

(e) Dense.

Fruits, Hair, Family, News, Forest.

Paper-II : Intelligence Test

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

1. D, F, I, M, R, ………….

(a) Y

(b) V

(d) X

(e) N

2. A, C, B, D, F, E, G, I, …….

(a) J

(b) H

(d) E

(e) R

3. A, C, F, J, O, ……..

(a) R

(b) S

(d) U

(e) V

4. Z, A, D, E, H, I, N, O, ……..

(a) S

(b) W

(d) T

(e) V

5. 24, 35, 48, 63 ……

(a) 87

(b) 83

(d) 79

(e) 74

6. 3, 8, 18, 33, ……

(a) 61

(b) 57

(d) 47

(e) 38

7. 4, 5, 9, 18, 34, ……

(a) 59

(b) 58

(d) 43

(e) 39

(a) 1/36

(b) 1/34

(d) 36

(e) 42

9. 9, 19, 30, 42, 55, 69, …….

(a) 89

(b) 85

(d) 79

(e) 76

10. 1, 3, 7, 13, 21, …….

(a) 33

(b) 31

(d) 27

(e) 25

11. If the code of MOTHER of OQVJGT, then what is the code of SISTER?

(a) CJUVGT

(b) TJTUFS

(d) UKUVGT

12. If the code of TELEPHONE is ENOHPELET, then what is the code of ALIGATOR?

(a) ROTAGILE

(b) ROTAGILA

(d) ROTAGIAL

13. If the code of TEACHER is VGCEJGT, then what is the code of CHILDREN?

(a) EJKNFGTO

(b) EJKNEGTP

(d) EJKNFTGP

Directions : In each of the following question fill the blanks.

14. As Dhanush is related to arrow in the same way gun is related to …….

(a) SOLDIER

(b) BARREL

(d) BULLET

(e) SHOT

15. Fish is related to Fin in the same way bird is related to ……..

(a) NEST

(b) FLY

(d) CHPP

(e) FEATHER

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

16.

(a) Brahmputra

(b) Kaveri

(d) Kailash

(e) Sutlej

17.

(a) Crow

(b) Duck

(d) Parrot

(e) Maina

18.

(a) Earth

(b) Moon

(d) Saturn

(e) Venus

19.

(a) Marathi

(b) Telgu

(d) Gujarati

(e) Sanskrit

20.

(a) Litre

(b) Yard

(d) Weight

(e) Inch

21.

(a) Tiger

(b) Deer

(d) Wolf

(e) Leopard

22.

(a) Instructor

(b) Student

(d) Director

(e) Lecturer

23.

(a) Neigh

(b) Voice

(d) Bark

(e) Mew

24.

(a) Taste

(b) Smell

(d) Hear

(e) Scene

25.

(a) Finger

(b) Wrist

(d) Thumb

(e) Thigh

Directions : In each of following questions which one is odd?

26.

(a) AabD

(b) cCDf

(d) PpQS

(e) pQrT

27.

(a) ADG

(b) BEH

(d) CFI

(e) DGJ

28.

(a) XYZ

(b) UVW

(d) NOR

(e) KLM

29.

(a) BCE

(b) FGI

(d) NOQ

(e) RST

30.

(a) 1.5

(b) 3

(d) 6

(e) 7.25

31.

(a) NOPM

(b) STUR

(d) KJLM

(e) CDEB

32.

(a) 7

(b) 11

(d) 17

(e) 21

33.

(a) 81

(b) 64

(d) 36

(e) 25

34.

(a) 123

(b) 231

(d) 132

(e) 342

35.

(a) 343

(b) 216

(d) 64

(e) 27

Directions : In each of the following questions there is a series of 5 figures in which at 5^th place a question mark is given. Choose are figure form the answer figures, which fit in the place of question mark.

36. Problem Figures