Sainik School Entrance Exam, 2011

(Class-VI)

Paper-I Mathematics and Language

Part-A : Mathematics

Section-I

1. Find the sum of two numbers if one number is 41628 and the other number is 1235 greater than the first number.

2. Arrange the numbers in ascending order – 631997, 514245, 51437, 631460.

3. The side of a square is 8m. The same square is divided into four equal squares. Find the area of the square.

4. Find prime factors of 216 and 90.

5. Find the value of

6. Find 10% of 95.

7. A train starts from Delhi at 9.15 p.m and reaches Jammu Tawi next day at 11.30 am. Find the total time taken by the train.

8. The weight of 25 bags of sugar is 625 kg. Find the weight of 35 bags of the sugar.

9. Find out LCM of 75, 90 and 125.

10. Find the perimeter of rectangle of length 60 cm and breadth 30 cm.

Section-II

11. Simplify :

12. A rectangular lawn is 40 m by 30m. It has two roads of 2m wide running in the middle one parallel to the length and the other parallel to the breadth. Find the area of the roads.

13. A pit of 50 meter long, 40 meter wide and 1 meter deep is dug. Find the volume of earth dug out from the pit.

14. Find the Area and circumference of a circle with diameter 14 cm.

15. An angle is twice of its complement. Find the measures of the angle and its complement.

16. The LCM of two numbers is 1080 and their HCF is 18. One of the numbers is 216, find the other number.

17. Asha can finish a work in 15 days. The same work is finished by Nirmala in 12 days. In how many days both of them will finish the work while working together?

18. A carpenter bought 6 chairs for Rs. 90 each. He spent Rs 10 on each chair for painting. He then sold all the six chairs for Rs. 795. Find his profit or loss.

19. Write true or false for the following statements.

(a) A cylinder has two curved surfaces and one flat base.

(b) A cone has two curved surfaces and one flat base.

20. In the following pictograph the number of students liking various sports have been represented:

With the help of this answer the following questions

(a) Which is the most favourite game of the students?

(b) How many students like Cricket?

Section-III

21. Sahil scored 95 marks out of 150 and Ankit scored 180 marks out of 250. Whose score is higher?

22. Jatin borrowed Rs 4500 at 12 paise for every rupee per annum. After 3 years he returned Rs 4000 and a wrist watch. Find the cost of the wrist watch.

23. Draw a circle with radius 3 cm and mark,

(a) Its centre O

(b) Diameter AB

(d) a chord PQ,

24. A, B and C have a total of Rs. 1500. The ratio of the money between A and B is 4:5. If C has Rs. 600, calculate the shares of A and B.

25. What is the greatest 6 digit number which is exactly divisible by 24, 15 and 36?

26. By selling a bed sheet for Rs. 75, a man suffers 4% loss. What amount should he sell it so as to gain 20% profit?

27. If a = 2, b = 3, and c = 4, find value of

(a) ab + bc

28. A chalk box measures 7 cm in length, 5 cm in breadth and 3 cm in height. How many chalk boxes can be placed in a box whose length, breadth and height are respectively 49 cm, 25 cm and 15 cm?

29. Find average of 12 numbers if the average of the first 8 numbers is 21 and the average of the last four numbers is 18.

30. Find the perimeter and area of the given figure?

Part-B: Language Ability

1. Write a paragraph of 15 sentences on the topic :

(a) An Important Day in My Life OR

(b) My Aim in Life

2. Read the following passage carefully and answer the questions:

Kalidas is known as the Shakespeare of India. His name has been immortalized in the history of Sanskrit literature. he was at the head of the celebrated nine gems which adorned the court of King Vikarmaditya. The poems and dramas of Kalidas have elicited unreserved praise not only from Indian Scholars but also from European critics like Maxmuller, a German. The age in which Kalidas flourished and the place where he was born are matters of dispute. But true genius is independent of time and place although the country of Kalidas is far more remote, his fame in shining with undiminished grandeur even in our own days.

(a) Who is the Shakespeare of India?

(b) Who was Maxmuller?

(d) Where was Kalidas born?

(e) What was the position of Kalidas in the court of King Vikramaditya?

3. Make a sentence of your own for each underlined word given in the following passage. (Do not copy any sentence from the given paragraph).

Once a smart looking young man visited the office of a businessman to look for a job. The manager though pleased with his behavior said, There is no vacancy for a clerk.” The young man was very unhappy and turned to go. As he was passing out of the door way, he found waste papers scattered all around the entrance. He at once picked them up and dropped in the dust bin. The manager saw this and was greatly impressed. He thought that the applicant was good enough to be employed in the office. So he called him back and appointed him a clerk in his office.

4. Form meaningful sentences by rearranging the words/phrases in the proper order.

(a) animals/man/a/is/social

(b) Shimla/winter/went/we/during/to/holidays.

(d) sentences/meaningful/the/make/following/to/words/phrases/and/rearrange.

(e) will/next/my/be/parents/meet/coming/to/me/week.

5. Write a Leave application addressed to your headmaster seeking two days leave to appear in Sainik Schools entrance examination.

6. Use each of the word in separate sentences of your own to show the difference in the meaning of the words of the pairs given below:

(a) Sale, sail

(b) Throne, thorn

(d) earn, yearn

(e) cattle, kettle

7. Choose correct form of pronouns from the brackets and fill in the blanks.

(a) We scored as many goals as ………….. (they, them, their)

(b) The horse fell down and broke ……… leg.(it, its, his)

(d) Wait for Hari and ……. (I, me, mine)

(e) Nobody but ………. was present, (he, his, him)

8. Change each of the following as directed.

(a) He had been sleeping till now since morning. (Change into Interrogative)

(b) The garden will be looking its best next month. (Change into Negative)

(d) How beautiful is night! (Change into Assertive)

9. (a) Don’t sit …. the grass. It is wet. (in/at/on)

(b) There is a pair of shoes …. the bed. (above/around/under)

(d) I am sorry…. what I have done. (by/for/with)

(e) I felt nervous …… the exam. (since/before/while)

Paper-II : Intelligence Test

Directions (Qs. 1 to 10): For each of the following questions, four words have been given of which three are alike in someway and one is different. Find the odd word.

1. (a) Shorthand (b) Morse

2. (a) Green (b) Violet

3. (a) City (b) Town

4. (a) Writer (b) Printer

5. (a) Under (b) Near

6. (a) Fragrance (b) Smell

7. (a) Motorcar (b) Tractor

8. (a) Stammer (b) Whisper

9. (a) Portrait (b) Snapshot

10. (a) Silk (b) Fur

Directions (Qs. 11 to 15) : In the following questions, number given in four out of the five alternatives have same relationship. You have to choose the one which does not belong to the group.

11. (a) 1 : 4 (b) 10 : 24

(e) 50 : 102

12. (a) 22 : 42 (b) 4 : 6

(e) 9 : 16

13. (a) 3 : 8 (b) 6 : 35

(e) 9 : 80

14. (a) 385 (b) 572

(e) 427

15. (a) 9 : 80 (b) 1 : 0

(e) 10 : 91

Directions (Qs. 16 to 20) : In each of the questions below, find out the correct answer from the given alternatives.

16. If FRIEND is coded as HUMJTK, how is CANDLE written in that code?

(a) EDRIRL (b) DCQHQK

17. If ADVENTURE is coded as ERUTNEVDA, how is GREEN coded in that code?

(a) NEERG (b) ENEGR

18. If CAB is coded as WUV, how is DEAF coded in that language?

(a) XYUZ (b) UWYV

19. If in a certain code YELLOW is written as XFKMNX, how is COUNTRY coded?

(a) DPVOSQX (b) BNTMSQX

20. If QUICK is coded as PSFYF, how is NEST coded?

(a) MCPP (b) MDQS

Directions (Qs. 21 to 25): Write next four letters to complete the series.

21. COXTCCCOXTC…. .

22. COCXOCXCCXCO…. .

23. COXVTCOOXXVVTT…. .

24. COXTOXTCXTC…. .

25. COXTCOXTCOX…. .

Directions (Qs. 26 to 30): Complete the following series.

26. 4, 9, 13, 22, 35, ?

27. 18, 36, 54, 72, 90, ?

28. 2, 4, 7, 11, 16, ?

29. 0, 2, 6, ?, 20, 30, 42

30. 1, 8, 27, 64, 125, 216, ?

Directions (Qs. 31 to 35): Each of the following questions consist of problem figures followed by answer figures. Select a figure from amongst the answer figures which will continue the same series or pattern as established by the problem figures.

31. Problem Figures

Answer Figures

(a) (b) (c) (d)

32. Problem Figures

Answer Figures

(a) (b) (c) (d)

33. Problem Figures

Answer Figures

(a) (b) (c) (d) (e)

34. Problem Figures

Answer Figures

(a) (b) (c) (d)

35. Problem Figures

Answer Figures

(a) (b) (c) (d)

Directions (Qs. 36 to 40): The second figure in the first unit of the Problem Figures bears a certain relationship to the first figure. Similarly, one of the figures in the Answer Figures bears the same relationship to the first figure in the second unit of the Problem Figures. Locate the figure which would fit the question mark.

36. Problem Figures