3
email: [email protected] Þœªô¢ªî¦ô¢Ù 28 íƇvò÷J 2019 - PART - A [Marks: 25] [Time: 1 ½ Hrs.] INSTRUCTIONS 1. Answer all the questions under Part-A on a separate answer book. 2. Write the answers to the questions under Part-B on the question paper itself. 3. Start answering the questions as you read them. 4. 15 minutes of time is allotted exclusively for reading the question paper and 2-30 hours for writing the answers. 5. Part-B of the question paper will be sup- plied along with Part-A at the beginning of the examination. SECTION - A Reading Comprehension 1. Read the following passage carefully. Mrs. Slater : I’m amazed at you Victoria! I really am. Be off now, and change your dress before your uncle Ben come. It would never do for them to find you in colours with grandfather lying dead upstairs. Victoria: What are they coming for ? They haven’t been here for ages. (The Dear Departed - 1) Now, answer the following questions. (3 × 1 = 3) a) “I’m really amazed at you, Victoria.” – What was the reason for the speaker’s amaze- ment? b) Why do you think they haven’t been there for ages? c) What is the occasion for their arrival ? 2. Read the following lines carefully. For me, my greatest activity is to plant a tree. I think that a tree is a wonderful symbol for the environment and when we plant a tree we plant hope. (Environment) Now, answer the following questions. (2 × 1 = 2) a) Who is the speaker of these lines and what is his / her main activity? b) How does the speaker want to rise hope? 3. Read the following passage carefully. A setback, can act as a driving force and also teach us humility. In grief you will find courage and faith to overcome the setback. We need to learn to become victors, not vic- tims. Fear and doubt short-circuit the mind. (Every Success Story is also a Story of Great Failures) Now, answer the following questions. (3 × 1 = 3) a) What is the speaker’s opinion on a setback? b) How does grief help us ? c) How do fear and doubt harm us ? 4. Read the following stanza carefully. Let us unite, and fight against those who incite, Let us not be misled, by those who want to see us dead, We are a strong united nation , all we need is a bit of dedication. (A Plea for India) Now, answer the following questions. (2 × 1 = 2) a) What is the nationality of the speaker and what does he suggest? b) What is the central theme of the poem ? 5. Read the following passage carefully. But one day while scrubbing the floor, the housewife suddenly asked herself, ‘ What is my name?’ The query shook her up. Leaving the mopping cloth and the muggu basket there itself, she stood near the window scratching her head, lost in thoughts. (What is My Name?) Now, answer the following questions. (3 × 1 = 3) a) Why did the query shake her up? b) What was the activity of the house as it was mentioned in the passage? c) Pick out the sentence that indicates the speaker’s deep effort to remember some- thing. 6. Read the following passage carefully. As a result, she was elevated to the role of a heroine by the noted Director L.V. Prasad in the film ‘Samsaaram’ (1950). On the sets she was nervous; she had to repeat many takes and this proved a setback for her. The role was given to someone else and she was given a small role of less import. (A Tribute) Now, answer the following questions. (2 × 1 = 2) a) Who was ‘she’ and what made her to be elevated to the role of a heroine ? b) Why did she lose her important character in the movie? Section – B Creative Writing 7. a) In the lesson, “Attitude Is Altitude” you have read about Nick. You learnt that when Nick was eight years old, he went to his mother crying and told her that he wanted to kill himself. The mother of Nick consoled and encouraged him. Now, write a possible conversation between Nick and his mother in this context. (OR) b) In the lesson ‘My Childhood’ you have read that a new teacher who came to Kalam’s class asked Kalam to go and sit on the last bench. It made Kalam and his friend Ramanadha Sastry feel sad. Now describe the thoughts of Kalam over the incident that happened in the classroom. 8. a) You have read the lesson ‘I will Do It’. When IIT entrance results came, Murthy met his father. Imagine you were Narayana Murthy and write an entry in the diary of the day when the IIT results came. (OR) b) Imagine that you were Gaston Roberge in the lesson ‘Rendezvous with Ray’. Prepare a speech that can be given by Gaston Roberge on the occasion of annual day of ‘Chitrabani’. Include Ray’s ser- vices to the organization and how the orga- nization helped improve the local Bengali tal- ent. PART – B [Marks:15] [Time: 1 Hr.] SECTION – C Grammar 9. Edit the following passage correcting the underlined parts. (5 × ½ = 2 ½) Child labour is a (a) illegal act performed by the children in their little age by the involve- ment of some industrialists and businessmen all over India. Industrialists and businessmen generally chooses (b) child labour because of the efficient work in minimum time by (c) low cost. And, children generally get involved in child labour because of their poverty but (d) lack of education. People, which (e) are very poor and cannot manage their two times food and clothes, become forced to send their kids and children to do some job at the lowest pay- ment instead of sending them to school for education. Answers a. .................................. b. .......................................... c. ........................................... d. ........................................... e. ............................................ 10. Read the following paragraph and fill in the blanks with the correct options given against the number of blanks. (5 × ½ = 2 ½) Child marriage is …………. (1) as a mar- riage of a girl or boy before the age of 18 and refers to both formal marriages ………. (2) informal unions in which children under the age of 18 live with a partner as if mar- ried. Child marriage affects both girls and boys, but it affects girls disproportionately, especially in South Asia. South Asia has ……… (3) highest rates of child marriage in the world. Almost half (45%) of all ………… (4) aged 20-24 years reported being married before the age of 18. Almost one in five girls (17%) ………… (5) married before the age of 15. 1. A) defining B) defines C) define D) defined 2. A) and B) but C) so D) since 3. A) a B) an C) the D) some 4. A) woman B) woman’s C) women D) women’s 5. A) are B) is C) been D) being 11. Combine the following sentences using ‘Who’. (1 mark) Roberge was a French Canadian priest. He came to India to teach in an Indian col- lege. A: ................. 12. Change the following sentence into pas- sive voice. (1 mark) I saw the willingness of the people to fight for their rights. A: ............ 13. Change the following into Reported Speech. (1 mark) The father asked his son, ‘Do you have a pair of old shoes?’ A: ......... 14. Combine the following sentences using ‘so-that’............... (1 mark) The environment is very degraded. It is not able to support communities. A: ........ 15. Fill in the blanks with suitable prepositions given in brackets. (2 × ½ = 1) a) ................................................ (In spite of / ahead ) my lack of elegance in that lan- guage, Ray knew both English and Bengali so well. b) My trunk had been carried ................. (by / with) a porter. 16. Fill in the blanks with suitable forms of verbs given in brackets. (2 × ½ = 1) a) It’s time you ............................ (come) to live with us again. b) I cut my finger when I ......... (sharpen) the pencil. 17. Your friend uses a plastic lunch box. Advise him not to use plastic. (1 mark) A: ....... 18. Change the following sentence into a polite request (1 mark) An illiterate person to you: Read out this letter for me. A: ............ 19. You want to talk to the manager of a com- pany on phone.. What would you say when the phone call is connected? ( ) (1 mark) a) What is your name? b) Keep it up c) Who are you, man? d) Can I speak to the manager, please? 20. What do the following sentences mean? Put a tick ( 3) mark against the right answer. (2 × ½ = 1) i) Do what you like. I don’t care. a) Expressing indifference. ( ) b) Expressing an offer ( ) c) Asking for something ( ) d) Questioning somebody ( ) ii) I am not going to change my mind. a) Seeking Agreement ( ) b) Offering help ( ) c) Refusing to be persuaded ( ) d) Expressing sympathy. ( ) PUBLIC EXAMINATIONS - 2019 ENGLISH PAPER - I Time: 2 Hrs. 45 Min. (Third Language) Max. Marks: 40 TENTH CLASS MODEL PAPER l

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Page 1: TENTH CLASS MODEL PAPER - eenadupratibha.net...the children in their little age by the involve-ment of some industrialists and businessmen all over India. Industrialists and businessmen

email: [email protected]Þœªô¢ªî¦ô¢Ù 28 íƇvò÷J 2019 -

PART - A

[Marks: 25] [Time: 1 ½ Hrs.]

INSTRUCTIONS

1. Answer all the questions under Part-A on aseparate answer book.

2. Write the answers to the questions underPart-B on the question paper itself.

3. Start answering the questions as you readthem.

4. 15 minutes of time is allotted exclusively forreading the question paper and 2-30 hoursfor writing the answers.

5. Part-B of the question paper will be sup-plied along with Part-A at the beginning ofthe examination.

SECTION - A

Reading Comprehension1. Read the following passage carefully.

Mrs. Slater : I’m amazed at you Victoria! Ireally am. Be off now, and change your dressbefore your uncle Ben come. It would never dofor them to find you in colours with grandfatherlying dead upstairs.

Victoria: What are they coming for ? Theyhaven’t been here for ages.

(The Dear Departed - 1)

Now, answer the following questions. (3 ×× 1 = 3)

a) “I’m really amazed at you, Victoria.” – Whatwas the reason for the speaker’s amaze-ment?

b) Why do you think they haven’t been therefor ages?

c) What is the occasion for their arrival ?

2. Read the following lines carefully. For me, my greatest activity is to plant a

tree. I think that a tree is a wonderful symbolfor the environment and when we plant a treewe plant hope. (Environment)Now, answer the following questions.

(2 ×× 1 = 2)a) Who is the speaker of these lines and what

is his / her main activity?

b) How does the speaker want to rise hope?

3. Read the following passage carefully.A setback, can act as a driving force and

also teach us humility. In grief you will findcourage and faith to overcome the setback.We need to learn to become victors, not vic-tims. Fear and doubt short-circuit the mind.

(Every Success Story is also a Story of GreatFailures)

Now, answer the following questions.(3 ×× 1 = 3)

a) What is the speaker’s opinion on a setback?

b) How does grief help us ?

c) How do fear and doubt harm us ?

4. Read the following stanza carefully. Let us unite,

and fight against those who incite,

Let us not be misled,

by those who want to see us dead,

We are a strong united nation ,

all we need is a bit of dedication.(A Plea for India)

Now, answer the following questions.(2 ×× 1 = 2)

a) What is the nationality of the speaker andwhat does he suggest?

b) What is the central theme of the poem ?

5. Read the following passage carefully.But one day while scrubbing the floor, the

housewife suddenly asked herself, ‘ What ismy name?’ The query shook her up. Leavingthe mopping cloth and the muggu basket thereitself, she stood near the window scratchingher head, lost in thoughts.

(What is My Name?)

Now, answer the following questions. (3 ×× 1 = 3)

a) Why did the query shake her up?

b) What was the activity of the house as it wasmentioned in the passage?

c) Pick out the sentence that indicates thespeaker’s deep effort to remember some-thing.

6. Read the following passage carefully.As a result, she was elevated to the role of

a heroine by the noted Director L.V. Prasadin the film ‘Samsaaram’ (1950). On the setsshe was nervous; she had to repeat manytakes and this proved a setback for her. Therole was given to someone else and she wasgiven a small role of less import.

(A Tribute)

Now, answer the following questions. (2 ×× 1 = 2)

a) Who was ‘she’ and what made her to beelevated to the role of a heroine ?

b) Why did she lose her important characterin the movie?

Section – B

Creative Writing7. a) In the lesson, “Attitude Is Altitude” you

have read about Nick. You learnt thatwhen Nick was eight years old, he went tohis mother crying and told her that hewanted to kill himself. The mother of Nickconsoled and encouraged him. Now,write a possible conversation between Nickand his mother in this context.

(OR)

b) In the lesson ‘My Childhood’ you haveread that a new teacher who came toKalam’s class asked Kalam to go and siton the last bench. It made Kalam and hisfriend Ramanadha Sastry feel sad. Nowdescribe the thoughts of Kalam over theincident that happened in the classroom.

8. a) You have read the lesson ‘I will Do It’.

When IIT entranceresults came, Murthy methis father. Imagine youwere Narayana Murthyand write an entry in thediary of the day whenthe IIT results came.

(OR)

b) Imagine that youwere Gaston Roberge inthe lesson ‘Rendezvous

with Ray’. Prepare a speech that can begiven by Gaston Roberge on the occasion ofannual day of ‘Chitrabani’. Include Ray’s ser-vices to the organization and how the orga-nization helped improve the local Bengali tal-ent.

PART – B

[Marks:15] [Time: 1 Hr.]

SECTION – C

Grammar9. Edit the following passage correcting

the underlined parts. (5 ×× ½ = 2 ½)

Child labour is a (a) illegal act performed bythe children in their little age by the involve-ment of some industrialists and businessmenall over India. Industrialists and businessmengenerally chooses (b) child labour because ofthe efficient work in minimum time by (c) lowcost. And, children generally get involved inchild labour because of their poverty but (d)lack of education. People, which (e) are verypoor and cannot manage their two times foodand clothes, become forced to send their kidsand children to do some job at the lowest pay-ment instead of sending them to school foreducation.

Answers

a. ..................................

b. ..........................................

c. ...........................................

d. ...........................................

e. ............................................

10. Read the following paragraph and fill inthe blanks with the correct optionsgiven against the number of blanks.

(5 ×× ½ = 2 ½)Child marriage is …………. (1) as a mar-riage of a girl or boy before the age of 18and refers to both formal marriages ……….(2) informal unions in which children underthe age of 18 live with a partner as if mar-ried. Child marriage affects both girls andboys, but it affects girls disproportionately,especially in South Asia.

South Asia has ……… (3) highest rates ofchild marriage in the world. Almost half(45%) of all ………… (4) aged 20-24 yearsreported being married before the age of18. Almost one in five girls (17%) …………(5) married before the age of 15.

1. A) defining B) defines

C) define D) defined

2. A) and B) but

C) so D) since

3. A) a B) an

C) the D) some

4. A) woman B) woman’s

C) women D) women’s

5. A) are B) is

C) been D) being

11. Combine the following sentences using‘Who’. (1 mark)Roberge was a French Canadian priest. Hecame to India to teach in an Indian col-lege.

A: .................

12. Change the following sentence into pas-sive voice. (1 mark)

I saw the willingness of the people to fightfor their rights.

A: ............

13. Change the following into ReportedSpeech. (1 mark)

The father asked his son, ‘Do you have apair of old shoes?’

A: .........

14. Combine the following sentences using‘so-that’...............

(1 mark)The environment is very degraded. It is notable to support communities.

A: ........

15. Fill in the blanks with suitable prepositionsgiven in brackets.

(2 ×× ½ = 1)a) ................................................ (In spite of /

ahead ) my lack of elegance in that lan-guage, Ray knew both English and Bengaliso well.

b) My trunk had been carried ................. (by /with) a porter.

16. Fill in the blanks with suitable forms ofverbs given in brackets.

(2 ×× ½ = 1)a) It’s time you ............................ (come) tolive with us again.

b) I cut my finger when I ......... (sharpen) thepencil.

17. Your friend uses a plastic lunch box.Advise him not to use plastic.

(1 mark)A: .......

18. Change the following sentence into a politerequest (1 mark)

An illiterate person to you: Read out thisletter for me.

A: ............

19. You want to talk to the manager of a com-pany on phone..

What would you say when the phone call isconnected? ( ) (1 mark)a) What is your name?

b) Keep it up

c) Who are you, man?

d) Can I speak to the manager, please?

20. What do the following sentences mean?Put a tick ( 3) mark against the rightanswer. (2 ×× ½ = 1)

i) Do what you like. I don’t care.

a) Expressing indifference. ( )

b) Expressing an offer ( )

c) Asking for something ( )

d) Questioning somebody ( )

ii) I am not going to change my mind.

a) Seeking Agreement ( )

b) Offering help ( )

c) Refusing to be persuaded ( )

d) Expressing sympathy. ( )

PUBLIC EXAMINATIONS - 2019

ENGLISH PAPER - I

Time: 2 Hrs. 45 Min. (Third Language) Max. Marks: 40

TENTH CLASS MODEL PAPER

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email: [email protected]Þœªô¢ªî¦ô¢Ù 28 íƇvò÷J 2019 -

Instructions:

1. This question paper contains three sec-tions A, B and C with questions from 1 to29.

2. Out of the allotted time of 2 hrs. 45 min.the first 15 minutes time is allotted exclu-sively for reading the question paper.

3. Write all the answers in the answer book-let given.

4. Use capital letters while answering themultiple choice questions. Marks will notbe allotted in case of any over-writing.

5. Use the last page(s) of the answer bookletfor rough work while answering the ques-tions under section-C.

PART - ASECTION - A

(Reading Comprehension)

Q. (1-7): Read the following passage care-fully.

Father had provided for my education, andI had been able to realize his dreams. Myparents were truly proud of me. It wasthrough me that they had earned a greaterdegree of admiration and respect from thevillagers. My father would not like to see mecarrying a trunk on my back and would bevery hurt if I did so. I concluded that it wouldbe better to let him carry it. Father was usedto carrying luggage anyway. He was strongerand more skilled than me in these matters. Ihad never got used to physical labour havingstayed in hostels right from my childhood.So, in spite of my youth and strength, I wasphysically useless. I continued walkingsilently with father. We rested at two placeson the way and had our tiffin but we hardlytalked. Finally, we reached Dirang. The busfrom Tawang had not yet reached Dirangand so we had some time in hand. Weentered a tea shop and sat facing each other.Father appeared tired. I felt sorry for him butcouldn't bring myself to say anything. I askedthe waiter to get us two cups of tea. Just as Iwas going to take my first sip, I heard father'svoice, 'Do you have a pair of old shoes?'

'Why? I asked,

'The road is uneven and full of pebbles. Ithurts while walking.' - The Journey

Q.(1-4): Now answer the following ques-tions. Each question has four choices.Choose the correct answer and write A, B,C or D in your answer booklet.

(4 ×× 1 = 4)1. The narrator did not carry his luggage

because...

A) he was physically weak

B) the luggage was heavy

C) he was ashamed of carrying the luggage.

D) as an educated person, he shouldn'tcarry the luggage.

2. Find the sentence which is not related tothe description of the road....

A) The road was uneven

B) The road was filled with pebbles

C) It looked like a motionless rope

D) The road was smooth and soft to walk

3. Who is carrying the luggage now?

A) the porter

B) a villager

C) the narrator

D) the narrator's father

4. Why did the narrator's father reach Dirangalong with his son.

A) to buy a new pair of shoes

B) to go to the city

C) to see off his son at the bus stop

D) to take a cup of tea

Answer the following questions in two orthree sentences each.

(3 ×× 2 = 6)5. According to the context what do you

understand about the nature of the narra-tor?

6. Why did the father ask 'Do you have a pairof old shoes'?

7. How did the family of the narrator earn agreater degree of admiration and respectfrom the villagers?

Q.(8-12): Read the following passage.

"They came on a Wednesday," saidSunday, "Many, many big lorries. They tookall day unloading them. No-one told us whatwas in them. They gave the Chief a brownpaper bag-I saw him smiling as the lorriesdrove away. This was five years ago. Thenthree months ago, one of the brightest boysin the village - Thomas Agonyo - Started uni-versity in Lagos. He came home one week-end with a new Chemistry book, and spent allday looking at the drums and writing thingsdown and talking to himself and shaking hishead. We all thought he had gone mad. Thenhe called a meeting of the village and told usthat the drums contained poisonous chemi-cals. He said they had come from Italy. But Idon't know where that is. Is it in Europe?"

Mr. Sunday Nana stopped, frowning, atroubled look on his face, "In the last fiveyears, 13 people have died in this village, myown elder brother one of them. They havebeen in pain, terrible pain. We have neverseen deaths like that before. Lots of our chil-dren are sick. We have asked the govern-ment to take the drums away, but they donothing. We have written to Italy, but they donothing. The Chief says we should move ourhouses to another place. But we have nomoney to buy land. We have no choice. Wehave to stay here. "And they" ...... pointing tothe mountain of death in the clearing- "are

our neighbours.''

- A Tale of three villages

8-10: Now answer thefollowing questions.Each question hasfour choices. Choosethe correct answerand write A, B, C or Din your answer booklet. (3 ×× 1 = 3)

8. Why was Thomas Agonyo talking to him-self and shaking his head?

A) He did not like what he was doing

B) He was mad

C) He was shocked at what he found onthe drums

D) He did not understand the things print-ed on the drums

9. The government officials permitted thedumping of the drums in the villagebecause they....

A) didn't know what the drums contained.

B) thought the contents of the drums arenot harmful.

C) didn't find any other place to dumpthem.

D) might have taken money as bribe

10. According to the passage, the villagerscould not leave their village because...

A) they got adjusted to the pollution and itseffects.

B) they have no money.

C) the government does not allow them toshift away.

D) they are not willing to leave their birthplace.

Q. (11-12): Answer the following ques-tions in one or two sentences each.

(2 ×× 1 = 2)11. What effects did the chemicals have on

the villagers?

12. What would you do to avoid such dan-gers, if you were one of the villagers?

SECTION - B

(Vocabulary and Grammar)

Q.(13-17): Read the passage given below.

Five sentences in the passage are num-bered from 13 to 17 at the beginning. Each ofthese sentences has an error. Correct themand rewrite the sentences in your answer booklet. (5 ×× 1 = 5)

The frightened soldiers fled (13). Thereking was left by himself in his tent. (14)Hurriedly he wrote a letter beg for peaceand apologizing for attacking the country.(15) He leaves this letter in the tent. (16)Then he jumped his horse on and followedhis soldiers (17). When a potter's brownhorse reached the deserted camp itstopped.

Q. (18-22): Complete the following pas-sage choosing the right words fromthose given in the box. Write theanswers in your booklet.

(5 ×× ½ = 2 ½ )

After school we went home and told ourrespective parents about the incident.Lakshmana sastry ..... (18) the teacher andin our presence told the teacher that heshould not spread the ..... (19) of inequalityand communal intolerance in the minds of..... (20) children. He bluntly asked theteacher to either ...... (21) or quit the schooland the island. Not only did the teacherregret his .... (22) but the strong sense ofconviction Lakshmana sastry conveyedultimately reformed this young teacher.

Q. (23-27): Some words/phrases/sen-tences in the given passage are under-lined. Rewrite them as directed in youranswer booklet.

(5 ×× ½ = 2 ½ )

To Mrs. John Shorrocks who keeps theRing-o-Bells. We've had it fixed up a goodwhile now, but I was keeping it for a pleas-ant (23) surprise. (He rises) I felt I was a bitof burden (24) to you; I found someonewho'd think it a pleasure to look at (25) me.We shall be very gladly (26) to see you atthe ceremony. (He gets to the door). It is agood thing you brought that bureau downstair (27) Amelia. It'll be handeer to carry itacross to the Ring-O-Bells on Monday. (Hegoes out)

Questions:

23. Write the word that is opposite in mean-ing.

24. Write the word that has similar meaning.

25. Replace the underlined word with a cor-rect phrasal verb.

26. Replace the underlined word with theright form.

27. Replace the underlined word with a suit-able one.

SECTION - C

(Creative Writing, Discourse)

Q. 28. You have read the lesson Attitudeis Altitude', in the lesson when Nickwas eight years old, he went to hismother crying and told her that hewanted to kill himself.

Now write a possible conversationbetween Nick and his mother in this context.

OR

You have read the lesson JamaicanFragment'. You know that when the narratorwas going for a walk, he found two little boysin the garden of a house. He found the littlewhite boy giving orders and the black boyfollowing the white boy's orders.

Now describe the feelings of the narratoron the day he saw the boys in that context.

10 m29. In the play 'The Never-Never Nest' you

have come across Aunt Jane who visitedJack and Jill. Her observations abouttheir financial decisions make her wor-ried. She leaves their home with muchdis-satisfaction.

Now imagine you are Aunt Jane and makean entry of your thoughts about your visit inyour diary. 5 m

PUBLIC EXAMINATIONS - 2019

ENGLISH PAPER - I

Time: 2 Hrs. 45 Min. (Third Language) Max. Marks: 40

TENTH CLASS MODEL PAPER

apologize, threatened, poison, sum-moned, attitude, innocent, behaviour

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Page 3: TENTH CLASS MODEL PAPER - eenadupratibha.net...the children in their little age by the involve-ment of some industrialists and businessmen all over India. Industrialists and businessmen

email: [email protected]Þœªô¢ªî¦ô¢Ù 28 íƇvñ÷J 2019 -

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n1⎯x1 + n2

⎯x2

x = ⎯⎯n1 + n2

ú£«vêŸÙ ìªÙ#

n1(520) + n2(420)⇒ 500 = ⎯⎯

n1 + n2⇒ 500 (n1 + n2) = 520n1 + 420n2⇒ 500n1 + 500n2 = 520n1 + 420n2⇒ 20n1 = 80n2

n1 80 4⇒ ⎯ = ⎯ = ⎯n2 20 1

n1 4⎯ = ⎯n2 1

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1= ⎯ × 100 = 20%5

2)- îμ³ë]æ¨ ÷ô¢ªú£ ê•NªtC ví£ëůì ú£ÙÜuõú£Þœåª ÓÙêŸ?

þ§ëÅ]ì:- îμ³ë]æ¨ ê•NªtC ÷ô¢ªú£ ví£ëůì ú£ÙÝËuõª= 2, 3, 5, 7, 11, 13, 17, 19, 23

Ú¥-î¦-Lqì ú£Þœåª 2`- 3 `- 5 `- 7 `- 11 `-13 `- 17 `- 19 `- 23

= ⎯⎯⎯⎯⎯9

100 1= ⎯ = 11 ⎯ %

9 9

3)- û¦-õªÞœª ÷ô¢ªú£ ò˶ú‡ ú£ÙÜuõ ú£Þœåª 56

Íô³ê¶ î¦æ¨ö˺ ÍA #ìo ú£ÙÜu?þ§ëÅ]ì:- û¦õªÞœª ÷ô¢ªú£ ò˶ú‡ ú£ÙÜuõª x, (x+ 2), (x + 4), (x + 6) Íìª-ÚÛªÙç˶

î¦æ¨ ú£Þœåª

x + (x + 2) + (x + 4) + (x + 6)= ⎯⎯⎯⎯⎯

4= 56

4x + 12⇒ ⎯ = 564

4(x + 3)⇒ ⎯ = 564

⇒ x + 3 = 56

⇒ x = 56 − 3 = 53

∴ û¦õªÞœª ÷ô¢ªú£ ò˶ú‡ ú£ÙÜuö˺x ÍA #ìoú£ÙÜu 53.-

4)- Ôè[ª ÷ô¢ªú£ ú£J í£²ô¢g-ú£Ù-Üuõ ú£Þœåª 10Íô³ê¶ î¦æ¨ö˺ šíë]Ì ú£ÙÜu?

þ§ëÅ]ì:- ÷ô¢ªú£ ú£J í£²ô¢g-ú£Ù-Üuõ ú£Þœåª î¦æ¨÷ªëÅ]u ú£ÙÜu Í÷±-꟪ÙC.- Ú¥ñæ¨d Ôè[ª ÷ô¢ªú£ú£J í£²ô¢g-ú£Ù-Üuö˺x ÷ªëÅ]u ú£ÙÜu 10 Í÷±-꟪ÙC.-Ôè[ª ÷ô¢ªú£ ú£J í£²ô¢g-ú£Ù-Üuõ vÚÛ÷ªÙ

n n n n n 10 n n n n n - ë]ê¦hÙøŒÙ ìªÙ# 10Ú¨ ÷³Ùë]ª Þœõ ú£J í£²ô¦gÙ-Ú¥õª 4, 6, 8.-10Ú¨ êŸô¦yêŸ Þœõ ú£J í£²ô¦gÙ-Ú¥õª 12, 14, 16.-∴ Ôè[ª ÷ô¢ªú£ ú£J í£²ô¦gÙ-Ú¥õ vÚÛ÷ªÙ

4, 6, 8, 10 , 12, 14, 16

∴ Oæ¨ö˺ šíë]Ì ú£ÙÜu 16.

5) f(x) = 3x + 2 Íû¶ ví£î¶ªóŸªÙ x óμ³ÚÛ\ÍEo Nõª-÷-õÚÛª Eô¢y-#-êŸ-îμªiÙC.-x = {−1, 0, 2, 5, 9} Íô³ê¶ f(x) ú£ÞœåªÓÙêŸ?

þ§ëÅ]ì: f(x) = 3x + 2

f(−1) = 3(−1) + 2 = −3 + 2 = −1

f(0) = 3(0) + 2 = 2

f(2) = 3(2) + 2 = 6 + 2 = 8

f(5) = 3(5) + 2 = 15 + 2 = 17

f(9) = 3(9) + 2 = 27 + 2 = 29

ô¦øŒ‰õ îμ³êŸhÙ∴ Ú¥î¦-Lqì ú£Þœåª =- ⎯⎯

-ô¦øŒ‰õ ú£ÙÜu −1 `- 2 `- 8 `- 17 `- 29

= ⎯⎯⎯⎯5

55= ⎯ = 11

5

6) i = 2j = 5k Í-ô³ê¶ i óμ³ÚÛ\ ú£ô¦-ú£J i, j, kí£-ë¯ö˺x ÚÛìª-ÚÁ\Ùè….-

þ§ëÅ]ì:- i = 2j = 5k së]ê¦hÙøŒÙ ví£Ú¥ô¢Ùzii = 2j, j = ⎯2

i i = 5k, k = ⎯

5ô¦øŒ‰õ îμ³êŸhÙ

∴ Ú¥î¦-Lqì ú£Þœåª =- ⎯⎯-ô¦øŒ‰õ ú£ÙÜu

i ii + ⎯ + ⎯i + j + k 2 5

= ⎯⎯ = ⎯⎯3 3

10i + 5i + 2i 17i= ⎯⎯ = ⎯

30 30

17i∴ i óμ³ÚÛ\ ú£ô¦-ú£J =- ⎯30

7)- ÖÚÛ ë]ê¦hÙ-øŒÙ-ö˺E û¦õªÞœª ÍÙø‹ö˺x îμ³ë]æ¨ÍÙøŒÙ ·ôÙèÁ ÍÙø‹-EÚ¨ 2 ·ôåªx, ÷´èÁÍÙøŒÙ îμ³ë]æ¨ ÍÙø‹-EÚ¨ 3 ·ôåx ÚÛÙç˶ 2ÍCÅÚÛÙ; û¦õªÞÁ ÍÙøŒÙ ÷´èÁ ÍÙø‹-EÚ¨ 5·ôåªx.- Íô³ê¶ û¦õªÞœª ÍÙø‹õ ú£ô¦-ú£J í£-ë¯ö˺x?

þ§ëÅ]ì:- ë]ê¦hÙøŒÙ ìªÙ# îμ³ë]æ¨ ÍÙøŒÙ x Í-ìª-ÚÛªÙç˶ ·ôÙèÁ ÍÙøŒÙ =- 2x, ÷´èÁ ÍÙøŒÙ = 3x + 2

û¦-õªÞÁ ÍÙøŒÙ = 5(3x + 2) = 15x + 10

∴ û¦-õªÞœª ÍÙ-ø‹õ ú£ô¦-ú£J x + 2x + (3x + 2) + (15x + 10)

= ⎯⎯⎯⎯⎯4

21x + 12 21x= ⎯⎯ = ( ⎯⎯ + 3)4 4

21x∴ Ú¥-î¦-Lqì ú£Þœåª = (⎯⎯ + 3)4

8) ÖÚÛ êŸô¢-Þœ-Aö˺ Ñìo 50 ÷ªÙC Në¯u-ô¢ª–õú£Þœåª ÷óŸªú£ª 7 ú£Ù÷-êŸq-ô¦õª.- Íô³ê¶î¦J îμ³êŸhÙ ÷óŸªú£ª ÓÙêŸ?

þ§ëÅ]ì:- îμ³êŸhÙ ÷óŸªú£ª =- ú£ô¦-ú£J ÷óŸªú£ª ×îμ³êŸhÙ Në¯u-ô¢ª–õ ú£ÙÜu = 50 × 7

= 350 ú£Ù-÷-êŸq-ô¦õª9)- ÖÚÛ ÚÛÙší-Fö˺ í£C ÷ªÙC ÷uÚÛªhõ ú£Þœåª

@êŸÙ ûμõÚÛª ô¢«.-20,000.- Î ÚÛÙší-Fö˺í£E-à¶ú£ªhìo ví£A-÷uÚ¨h ú£Þœåª @êŸÙ ·ôæ¨dÙ-í£-ô³ê¶ Ú•êŸh ú£Þœåª @êŸÙ ÓÙêŸ?

þ§ëÅ]ì:- í£C ÷ªÙC ÷uÚÛªhõ ú£Þœåª @êŸÙ ô¢«.-20,000

í£C ÷ªÙC ÷uÚÛªhõ @êŸÙ ·ôæ¨dÙ-í£-ô³ê¶ ú£Þœåª@êŸÙ = 20000 × 2 = ô¢«.-40,000

í£C ÷ªÙC ÷uÚÛªhõ îμ³êŸhÙ @êŸÙ = 40,000 × 10 =- ô¢«.-4,00,000

4,00,000∴ Ú•êŸh ú£Þœåª =- ⎯⎯- = ô¢«.-40,000

10

10)- ÖÚÛ ë]ê¦hÙ-øŒÙö˺ Íô³ë]ª ú£ÙÜuõ îμ³êŸhÙ555, îμ³ë]æ¨ ·ôÙè[ª ú£ÙÜuõ ú£Þœåª 75,÷´èÁ ú£ÙÜu 115.- Íô³ê¶ #÷J ·ôÙè[ªú£ÙÜuõ ú£Þœåª ÓÙêŸ?

þ§ëÅ]ì:- ë]ê¦hÙ-øŒÙö˺ Íô³ë]ª ú£ÙÜuõ îμ³êŸhÙ =- 555

îμ³ë]æ¨ ·ôÙè[ª ú£ÙÜuõ îμ³êŸhÙ =- 2 × 75

=- 150

÷´èÁ ú£ÙÜu = 115

∴ #÷J ·ôÙè[ª ú£ÙÜuõ îμ³êŸhÙ = 555 − 150 − 115 =- 555 − 265

= 290290∴ #÷J ·ôÙè[ª ú£ÙÜuõ ú£ô¦-ú£J =- ⎯2

=- 145

ÔíˆíˆÓúˆqí£K¤Ûõ ví£ê¶uÚÛÙë]ê¦hÙøŒ NøË™xù£é

Në¯uô¢ª–õ îμ³êŸhÙ ÷óŸªú£ª ÓÙêŸ?Në¯uô¢ª–õ îμ³êŸhÙ ÷óŸªú£ª ÓÙêŸ?Në¯uô¢ª–õ îμ³êŸhÙ ÷óŸªú£ª ÓÙêŸ?Në¯uô¢ª–õ îμ³êŸhÙ ÷óŸªú£ª ÓÙêŸ?Në¯uô¢ª–õ îμ³êŸhÙ ÷óŸªú£ª ÓÙêŸ?Në¯uô¢ª–õ îμ³êŸhÙ ÷óŸªú£ª ÓÙêŸ?Në¯uô¢ª–õ îμ³êŸhÙ ÷óŸªú£ª ÓÙêŸ?

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