DEFENCE ACADEMY COIMBATORE

AIM- ACT- ACHIEVE SUCCESS

Mathematics

Time: 1 hour 30 mins

Maximum Marks 100

Section -I

(10 x 2 = 20 Marks)

1. Find the sum of place value and face value of 5 in 65473.

2. Represent the following in Roman Numerals: 1,5,10, 50, 100, 500 and 1000

3. Find the number number of balloons packed in 25 boxs if each box has 25 baloons in them

4. Find the factors of 315

5. Write the prime numbers between 10 and 20

6. If 5 bells ring in the intervals of 4,6,8,9 and 10, when will they all toll together?

7. Divide a) 345.6 Divided by 100

b) 0.083 x 100= ?

8. Find the difference between 7/8 and 20%.

9. What percent of 35 is 7?

10. How many pencils costing Rs 1/5 can be bought for Rs 15.

SECTION – II ( 3 x 10 = 30 Marks)

11. Write the followng numbers in ascending order:- 6.789, 6.879,

12. There were 320 members in a school club last year. This year the number increased by 5 %. How many members are there this year?

13. A glass has capacity of ¾ litre of water. A jug contains 6 times the glass. How many litres does the jung contain?

14. Convert 365 days and, 3 months into weeks.

15. Mr. Roy worked on his car 4 ½ hours on Monday, 3 hours on Tuesday and 2 ¾ hours on Wednesday. The total number of hours that he worked on the car during those 3 days are___

16. A man covers a distance of 270 km in 6 hours, How much distance will he cover in 1 day?

17. A man borrowed rs. 4000 at the rate of 5 % for 2 ½ years. Calculate the Simple interest that he would receive.

18. The circumference of a circle is 22 cm, Find the Radius of the circle?

19. Ashok got 366 marks out of 660 and Brij Mohan got 300 marks out of 500. Whose scoreis better? Also find their percent of marks.

20. How many stones of 0.50 sq m can be fixed in a court yard of length 15 m and width 10m.of cost of fixing one stone is Rs. 2.50, what will be the expenditure on fixing stones in the courtyard? . Answer: 1. Place value is 5000 and face value is 5 hence SUM = 5000+5 =5005

2. I,V,X, L, C, D and M

3. 25 x 25 = 625

4. 315 = 3x 3x 5x 7

5. 11, 13, 17& 19

6. 36 seconds

7. A) 3.456

and B) 8.300

8. 27/40

9. 20%

10. 75 pencils.

11. = 6.4 & 6.9 hence 6.4, 6.789,6,879 , 6.9

12. 13. 4.5 litres

14. Convert 365 days and, 3 months into weeks. = 52 + 12 = 64 Weeks.

15. 10 ¼ hours

16. 24 / 6 = 4 x 270 = 1080km

17. 4000 / 100 = 40 x 5 = 200 x 2.5 = Rs. 500 SI answer

18. Radius is 7 cm

19. Brij Mohan 60% and ashok got 61 % Hence Mohan got better marks

20. Rs. 750 answer.

21. Find the least five digit number that is exactly divisible by 75?

22. If the average of 14, 17, 21,24, 26 and “X” is 20, find the value of “X”

23. A,B and C have a total of Rs. 8855. The ratio of the money between A and B is9 : 11.
If C has Rs. 2855. Calculate A and B’s Share.

24. A man bought 800 orange for Rs. 560.00 Seventy Oranges got crushed. He sold the remaining for 80 paise each.
Find the gain or Loss Percent.

25. A man spends 10 % of his monthly income on house rent and 30% of it on food.
Find how much is left for other expenses if his monthly income is Rs. 10,000?

ANSWERS:- Answer: 1. Place value is 5000 and face value is 5 hence SUM = 5000+5 =5005 2. I,V,X, L, C, D and M 3. 25 x 25 = 625 4. 315 = 3x 3x 5x 7 5. 11, 13, 17& 19 6. 36 seconds 7. A) 3.456 and B) 8.300 8. 27/40 9. 20% 10. 75 pencils. 11. = 6.4 & 6.9 hence 6.4, 6.789,6,879 , 6.9 12. 13. 4.5 litres 14. Convert 365 days and, 3 months into weeks. = 52 + 12 = 64 Weeks. 15. 10 ¼ hours 16. 24 / 6 = 4 x 270 = 1080km 17. 4000 / 100 = 40 x 5 = 200 x 2.5 = Rs. 500 SI answer 18. Radius is 7 cm 19. Brij Mohan 60% and ashok got 61 % Hence Mohan got better marks 20. Rs. 750 answer. 21. 10050 22. Total of 5 numbers + “X” is 20 x 6 = 120 Total of 5 numbers is 102 Therefore the value of “X” would be = 18 ( Answer) 23. A= Rs. 2700, B = Rs. 3300 24. Proft = 4 and 2/7 % 25. Monely left would be Rs. 6000

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English Choose the right alternative from - (a), (b), (c), (d) 1. Rearrange letters 'LOPDATE' to get the young one of a frog. a) Tapdole b) Tadpole c) Tadlope d) Talpode 2. Give the past tense form of the verb 'Spread'. a) Spread b) Spreaded c) Spreed d) Sprode 3. AN ANT is — INSECT a) a b) an c) the d) intelligent 4. Give the plural form of the word 'SHEEP' a) sheep b) sheeps c) sheepes d) sheepen 5. Mahatma Gandhi was a ____________ man. a) big b) large c) great d) high 6. Someone has broken the window-pane. (Here 'SOMEONE' is ..........................) a) Noun b) Pronoun c) Adverb d) Adjective 7. Which of the following words can be used in a singular sense. a) Clothes b) Cuckoos c) Mathematics d) Babies 8. The opposite gender of 'RAM' is .......................... a) Sita b) Mrs. Ram c) ewe d) Miss Ram 9. Prodip played ________ the flute. a) with b) to c) on d) None of these 10. Give the past participle form of the verb 'Knit' a) Knit b) Knitted c) Knitten d) None of these Fill in the blanks with correct words. 11. Today is sunday ; _______________ ? a) is it b) doesn't it c) isn't it d) is today 12. Switzerland is ___________ European country. a) a b) an c) the d) one of 13. Mumps ____________ a serious illness for grown-up people. a) are b) is c) was d) ware 14. A __________ of fish. a) group b) file c) shoal d) heap 15. Write your answer __________ ink. a) in b) with c) at d) to 16. ‘‘Blackboard’’ is Compound Noun consisting of __________. a) Noun + adjective b) Adjective + Noun c) Verb + Noun d) Gerund + Noun 17. Which of the following words is not an adverb ? a) Carefully b) Successfully c) Jolly d) wisely 18. Whichone of the following words is an adjective as well as a Noun ? a) Native b) Active c) Collective d) Selective 19. ‘say’ is to said, ‘stay’ is to ______________. a) staid b) stayed c) stayid d) None of these 20. The young one of an owl is _____________. a) cygnet b) owllet c) owlet d) fawn 21. As busy as a _____________. a) butterfly b) bee c) bug d) bat 22. It has been a week since it ___________. a) had rained b) has been raining c) rained d) was raining 23. I was born on Thursday _______________ 6 March. a) in b) at c) by d) on 24. The room looks ________________ a) decent b) descent c) discent e) desent 25. Which of the these word can not be used in singular form a) ladies b) potatoes c) spctacles d) sheep

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