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DAV PUBLIC SCHOOL,EAST OF LONI ROAD, DELHI-93 HOLIDAY HOMEWORK CLASS XII ENGLISH Summer is a much awaited season for all of us. Yes, true that it brings with it the best of all things that we long for, that is ‘Leisure’, in the form of the Summer Holidays. So here is the time to relax, to enjoy while keeping busy in an interesting manner & learning a lot many new things. So here are some tasks to engage you & help you to enjoy working & keeping the heat off your mind- 1. Since you love to see movies, try any two of the following:- (a) Twenty Thousand Leagues Under The Sea (b) Invictus (c) London Has Fallen (d) Pursuit of Happiness (e) The Sound of Music (f) The Bridge of Madison County After watching the movies, note down the following about each:- 1) The Central Theme 2) The Sub- theme/themes 3) Enlist the names of all main characters, the other important side characters & what these characters represent in the movie. The important factors that influence these characters & how. Give a different ending to the movies. 2. Reading is a wonderful & relaxing pass-time. Try reading any two of the following:- (a) ‘The Secret’ by Rhondo Byrne (b) ‘The Magic Drum’ by Sudha Murti (c) ‘Under The Banyan Tree’ by R. K Narayan (d) ‘My Experiments With Truth’ by M. K Gandhi Reading is incomplete if it is not understood & digested. To enable you to digest your two readings, here are some activities:- (a) Write a letter to your friend suggesting the same book/books for his/her reading & guiding in what ways it could be an interesting, enjoyable & valuable experience too.(in 150 to 200 words) (b) Write a diary entry confessing how one of the characters has left a mark on you so as to enable you improve yourself in one way or the other.(in 150 to 200 words)

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DAV PUBLIC SCHOOL,EAST OF LONI ROAD, DELHI-93

HOLIDAY HOMEWORK

CLASS XII

ENGLISH

Summer is a much awaited season for all of us. Yes, true that it brings with it the best of all things that

we long for, that is ‘Leisure’, in the form of the Summer Holidays. So here is the time to relax, to enjoy

while keeping busy in an interesting manner & learning a lot many new things. So here are some tasks to

engage you & help you to enjoy working & keeping the heat off your mind-

1. Since you love to see movies, try any two of the following:-

(a) Twenty Thousand Leagues Under The Sea

(b) Invictus

(c) London Has Fallen

(d) Pursuit of Happiness

(e) The Sound of Music

(f) The Bridge of Madison County

After watching the movies, note down the following about each:-

1) The Central Theme

2) The Sub- theme/themes

3) Enlist the names of all main characters, the other important side characters & what

these characters represent in the movie. The important factors that influence these

characters & how. Give a different ending to the movies.

2. Reading is a wonderful & relaxing pass-time. Try reading any two of the following:-

(a) ‘The Secret’ by Rhondo Byrne

(b) ‘The Magic Drum’ by Sudha Murti

(c) ‘Under The Banyan Tree’ by R. K Narayan

(d) ‘My Experiments With Truth’ by M. K Gandhi

Reading is incomplete if it is not understood & digested. To enable you to digest your two

readings, here are some activities:-

(a) Write a letter to your friend suggesting the same book/books for his/her reading & guiding

in what ways it could be an interesting, enjoyable & valuable experience too.(in 150 to 200

words)

(b) Write a diary entry confessing how one of the characters has left a mark on you so as to

enable you improve yourself in one way or the other.(in 150 to 200 words)

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3. Knowing the world around you a little more while learning the Language too can be done while

reading the daily newspaper. Read about your city Delhi in respect of the following etc that

effect its people.

(i) Pollution level

(ii) Crime

(iii) Security & safety issues of women

(iv) Cleanliness issues

(v) Demonetization

(vi) The Upkeep of Historical monuments & tourist spots

(vii) Traffic & Transport

(viii) The most recent Historical Judgement of Supreme Court

Paste the related articles that you read ( any two issues) along with a letter to the editor of your

newspaper with your response to the same. Give these issues a serious thought so that you are able to

participate actively in a class discussion on the same after the holidays.

Note :- Do all the above work in spirally bound notebook of A4 size.

PHYSICS

Q.1 SOLVE 20 NUMERICALS AND CONCEPTUAL QUESTIONS OF CHAPTER ELECTRIC FIELD

{GAUSS THEOREM}

Q.2 SOLVE 20 NUMERICALS AND CONCEPTUAL QUESTIONS OF CHAPTER CAPACITOR.

Q.3 SOLVE 20 NUMERICALS AND CONCEPTUAL QUESTIONS OF CHAPTER WHEATSTONE BRIDGE,

KIRCHOFF’S LAW , METER BRIDGE AND POTENTIOMETER.{ EACH}

Q.4 COMPLETE THE ACTIVITES IN YOUR ACTIVITY FILE.

Q.5 COMPLETE THE NCERT TEXT BOOK EXERCISE QUESTONS AS INSTRUCTED BY THE SUBJECT TEACHER

FOR THE UNIT ELECTROSTATICS, CURRENT, COMMUNICATION, AND SEMICONDUCTORS.

Q.6 DRAW ALL THE BLOCK DIAGRAMS OF UNIT COMMUNICATION.

Chemistry Questions from the chapter “Alcohols, Phenols and Ethers”

1. a) Phenol when treated with Conc. HNO3 gives,

(i) o-Nitrophenol (ii) p-Nitrophenol (iii) 2,4,6-Trinitrophenol (iv) a mixture of o-nitrophenol and p-nitrophenol (1)

b) Methanol and ethanol are two commercially important alcohols. Write one method each

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for the preaparation of methanol and ethanol. (3) 2. a) Complete the following:

3. a) Write a test to distinguish between phenol and

alcohol. (1) b) Write suitable reagent(s) used for the following conversions:

i) CH3-CH2-Cl CH3-CH2-OH ii) CH3-CH2-OH CH3-CH2-O-CH2-CH3

iii) OH OH

CHO

(3)

4. Alcohols are compounds with general formula R-OH.

a) Alcohols are soluble in water. Give reason? (1)

b) i) Explain a method for the manufacture of ethanol. (2)

ii) How will you convert phenol to benzene? (1) 5. a) How will you prepare the following compounds using a Grignard reagent?

i) Primary alcohol ii) Secondary alcohol (2)

b) How will you distinguish primary and secondary alcohols using Luca’s test? (1) c) Write the correct pair of reactants for the preparation of t-butyl ether by Williamson synthesis. (1) 6. a) Write the name or formula of the following:

i) A simple ether ii) A mixed ether iii) A dihydric alcohol iv) A trihydric alcohol (2)

b) Phenol on treatment with Br2 in CS2 at low temperature gives two isomeric monobromophenols ‘X’ and ‘Y’. But phenol on treatment with bromine water gives a white precipitate ‘Z’. Identify the products ‘X’, ‘Y’ and ‘Z’. (2)

7. a) Write the IUPAC names of all the possible isomers with molecular formula

C3H8O (1½) b) Phenol is usually manufactured from cumene. Write the structure of cumene. (½) c) Primary, secondary and tertiary alcohols can be distinguished by

(2) b) Explain the following:

i) Esterification

ii) Williamson Synthesis (2)

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Lucas test. i) What is Lucas reagent? (½)

ii) Write the observations, for primary, secondary and tertiary alcohols in Lucas test. (1½) 8. How are the following conversions carried out? Represent the chemical reactions. a) Ethanol to ethanal (1)

b) Phenol to picric acid

(1)

c) Phenol to benzene (1)

d) Phenol to tribromophenol (1) 9. a) Write the name or structure of the compounds A and B in the following reactions:

A CHCl3 + NaOH C6H5OH NaOH/CO2 B

H+ H (2)

b) Vapours of an alcohol ‘C’ on passing over heated copper produce compound ‘D’. ‘D’ on

reaction with CH3MgCl followed by hydrolysis produces 2-methylbutan-2-ol. Write the name or structure of compounds ‘C’ and ‘D’. (2)

10. Methanol and ethanol are two commercially important alcohols. i) Write one method of preparation of methanol and ethanol. (2) ii) Name the products obtained when ethanol is treated with CrO3 in anhydrous medium.

(1) iii) The boiling point of ethanol is higher than that of methoxy methane. Give reason.(1)

11. Ethers are generally non-reactive compounds. One of the important reactions of ethers is the

action of HI.

C6H5-O-CH3 + HI -------> A + B

Identify A and B. explain the reaction. (2)

12. Mixture of Conc. HCl and anhydrous ZnCl2 is an important reagent which helps to distinguish

between 10, 2

0 and 3

0 alcohols.

a) Give the name of the above reagent. (½)

b) Give one example each for 10, 2

0 and 3

0 alcohols. (1½)

c) Explain how the above reagent helps to distinguish above three types of alcohols. (2) 13. Phenols are more acidic than alcohols.

a) Name the product obtained when phenol is treated with chloroform in the presence of NaOH.

(½)

b) Name the above reaction. (½)

c) What is the product obtained when phenol is treated with Conc. HNO3? (½) d) Write the structure and IUPAC name of the above product. (1)

e) Ethanol and propane have comparable molecular masses, but their boiling points differ

widely. Which of them have higher boiling points? Substantiate your answer. (1½) 14. Ethanol can be prepared by treating HCHO and CH3CH2MgBr.

a) Is the above statement true? (1) b) Justify your answer. (2)

15. Williamson’s synthesis is an important method of ether synthesis. c) To synthesis tertiary butyl ether, which of the following reagent sets are better? Justify.

i) (CH3)3C-Br + CH3ONa

ii) (CH3)3C-ONa + CH3-Br. (2)

d) Explain the cleavage of C-O in CH3-CH2-O-CH3 when treated with HI. (1) 16. The bond angle in C-O-H in alcohols is slightly less than tetrahedral angle.

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a) Give the reason for the difference in the bond angle observed in alcohol, (1) b) What is the bond angle in C-O-H in phenol? Give the reason for the variation. (2)

c) Alcohols undergo dehydration. How is ethanol converted to ethene? (1)

Questions from the chapter “Aldehydes, Ketones and Carboxylic Acids”

1. Aldehydes and ketones are the compounds having >C = O group. Choose the IUPAC name of the compound CH3-CH = CH-CHO

(i) Propen-1-al (ii) But-2-en-1-al (iii) Butanal (iv) But-2-en-2-al (1)

b) Complete the following reactions:

(i) HCHO + Conc. KOH ∆

(ii) CH3-CHO dil. NaOH

(iii) CH3-CHO + H2N-NH2

(iv) C6H5COCH3 Zn/Hg + HCl (4)

2. Aldehydes, ketones and acids contain >C = O group.

a) Choose the IUPAC name of the compound (CH3)2CH-COOH.

(i) Butanoic acid (ii) Ethanoic acid (iii) 2-Methylpropanoic acid (iv) Propanoic acid (1)

b) Complete the following reactions:

(i) CH3-CH2-COOH LiAlH4/ether

(ii) CH3-CH2-COOH + SOCl2

(iii) CH3-CH2-COOH Br /Red P

(iv) CH3-CH2-COOH + CH3-OH H+ (4)

3. Aldehydes, Ketones and Carboxylic acids are Carbonyl compounds.

a) Aldehydes differ from Ketones in their oxidation reactions. Illustrate with one example. (1) 2 How will you prepare benzaldehyde by Gatterman-Koch reaction? (1) 3 Write the reactions of carboxylic acid with the following reagents. (Write the chemical equations)

a Thionyl chloride (SOCl2) b Chlorine in presence of small amount of red phosphorous.

(iii) Lithium Aluminium hydride (LiAlH4)/ether. (3) 4. a) Write a test to distinguish between aldehydes and ketones. (1)

b) How will you prepare benzaldehyde by Etard's reaction? (1) c) How will you bring about the following conversions? (Write the chemical equations)

(i) Ethanol → Ethanoic acid (ii) Benzamide → benzoic acid (iii) Benzaldehyde → meta nitrobenzaldehyde (3)

5. a) Explain aldol condensation taking CH3-CHO as example. (2) b) Write the named reactions involved in the following conversions:

i) CH3-CO-Cl H2/Pd-BaSO4 CH3-CHO

ii) 2 HCHO NaOH HCOONa + CH3-OH (1) a) How are the following conversions achieved?

i) CH3-CN CH3-COOH

ii) CH3-COOH CH2Cl-COOH (2)

6. Aldehydes, Ketones and Acids contain >C=O group.

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a) Name the product obtained by the reaction between acetic acid and ethanol. (1)

b) (i) Give any two tests to distinguish between aldehydes and ketones. (2)

7. a) Aldol condensation reaction is a special reaction of aldehydes. i) What is aldol condensation reaction? (1) ii) Write the structural formula of aldol formed from ethanal (1)

b) Write simple chemical tests and observations used to distinguish between the following compounds:

i) Propanal and propanone (1)

ii) Phenol and benzoic acid (1)

c) Write the names of the reagents used to bring about the following transformations

i) C6H5 COCl → C6H5 CHO

ii) CH3 COOH → CH2Cl-COOH (1) 7. a) Methanal (HCHO) is an aldehyde having no α-hydrogen atom. What are the products formed when methanal is

treated with strong KOH solution? (1) b) How are the following conversions achieved?

i) Benzoyl chloride (C6H5 COCl) to benzaldehyde (C6H5-CHO) ii) Acetic acid (CH3COOH) to chloroacetic acid (CH2Cl-COOH) iii) Benzene to Benzaldehyde

iv) Ethanal (CH3-CHO) to Ethane (CH3-CH3) (1 X 4 = 4) 8. a) Among formaldehyde, acetaldehyde and formic acid, which compounds undergo Cannizzaro reaction? Give reason.(1½ )

b) What is esterification? (1) c) Thionyl chloride is preferred to as the reagent to prepare acid chlorides. Why? (½) d) Write the chemical reaction to effect the transformation of sodium acetate to ethane. (1) e) Write the IUPAC names of the compounds given below.

i) CH3-CH2-CO-CH3 ii) HOOC-CH2-COOH. (1) 9.a) Suggest a method of preparation of benzaldehyde from toluene.(1)

b) Aldehydes and ketones differ in their chemical reactions. How do they react with the following? i) Tollens' reagent ii) Alcohol. (2)

c) How will you convert propanoic acid into the following compounds? i) Ethane ii) Butane. (2) 10. a) Complete the following: Write down the structures of A, B and C.

i) CH3-CH2-CHO KMnO4 A

ii) CH3-CH2-CO-CH3 Zn amalgam/HCl B iii) CH3-CH2-CH2-COOH Bromine/Red P C

H2O b) Write down the IUPAC names of A, B and C. (1½)

c) Explain the following reactions. i) Cannizzaro reaction. Ii) Esterification. (1)

11. a) Which named reaction is used to reduce CH3-CO-Cl to CH3-CHO? (1) b) Aldehydes and ketones undergo reactions due to the presence of α-hydrogen atom.

i) Write the name reaction of aldehyde which takes place only because of the presence of α-hydrogen atom. ii) How will you bring about the above reaction? (1)

c) i) CH2Cl-COOH is a strong acid than CH3COOH. Why? ii) How will you convert CH3-COOH to CH2Cl-COOH? (2)

12. Aldehydes resemble ketones in many respects.

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a) Give the reason for their resemblance. (1)

b) Give a reaction in which aldehydes resemble ketones. (1)

c) Write two tests to distinguish between aldehydes and ketones. (2)

a) What is its IUPAC name? (½)

b) Explain the conversion of the above acid to the following:

CHO CH2OH CH2OH

i)

NO2

NO2

NH2

NO2

NO2

NH2 ( 4½)

13.a) Aldehydes and ketones are organic compounds containing carbonyl group. i) Write a chemical reaction used to distinguish between aldehydes and ketones. (1)

ii) Aldehydes and ketones can be subjected to Clemmensen reduction and Wolff-Kishner

reduction. Name the reagents in both cases. (1) b) How will you make the following conversions:

i) Ethanoic acid to ethanol. ii) Propanoic acid to 2-chloropropanoic acid iii) Toluene to benzoic acid. (3)

14. Nucleophilic addition reaction is a characteristic of carbonyl group.

a) Explain this with specific examples, how the reaction takes place, (2) b) i) Show the order of reactivity of following compounds in nucleophilic addition;

CH3-CHO, CH3-CO-CH3, H-CHO (1)

ii) Justify your answer. (2) 15a) Show how aldehyde reacts with the following reagents.

i) NH2CONHNH2 (Semi carbazide) ii) Zinc amalgam and conc. HCl (2)

b) i) How can you manufacture formic acid from CO? (1)

ii) Suggest a chemical test to distinguish this acid from acetic acid. Account for the observation. (2)

16. Aliphatic aldehydes differ from aromatic aldehydes.

a) Give one example each for an aliphatic aldehyde and an aromatic aldehyde containing seven carbon atoms. b) Give one reaction in which the above aldehydes differ. (3)

Questions from the chapter “ Amines”

1. Amines are basic in nature. Arrange the following compounds in the increasing order of their basic strength.

NH3, C2H5NH2, C6H5NH2, (C2H5)2NH (1) 2.a) How will you convert aniline to chlorobenzene? (2)

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3.Amines are classified as primary, secondary and tertiary amine. Represent the structure of secondary and tertiary amine. (1)

4. a) Aromatic and aliphatic amines are basic in nature like ammonia. Arrange the

following compounds in the increasing order of their basic strength: CH3-NH2,

(CH3)2NH, NH3, C6H5-NH2 (1)

b) How will you carry out the following reactions?

i) Hoffmann bromamide reaction ii) Carbyl amine reaction (2) 5.Amines are classified as primary, secondary and tertiary. a) Write the IUPAC name of the following compound: H2N-(CH2)6-NH2 (1)

b) Which is stronger base: CH3-NH2 or C6H5-NH2? Why? (2)

6. a) Write a method of preparation of primary amines. (1)

b) Describe a chemical reaction given only by primary amines. (1)

c) What is diazotization? (1)

7. a) Amines are basic. Arrange the following amines in the increasing order of base strength.

CH3 NH2, (CH3)2NH, (CH3)3N, C6H5NH2. (1)

b) Two well known reactions are given below: Suggest the main product of each reaction.

i) CH3NH2 CHCl3 + alc. KOH

ii) CH3CONH2 Br2 + NaOH (1 X 2 = 2) 8.a)Amines can be considered as derivatives of ammonia.

b)Arrange the following amines in increasing order of their basic

strength. C6H5NH2, C2H5NH2, (C2H5)2NH, NH3. (1) c) Represent a reaction to explain the basic character of aniline. (1) d) Name the reagents used in the Hoffmann bromamide reaction. (½)

e) What is the significance of the above reaction? (½) f) Give one chemical test to distinguish between methyl amine and dimethyl amine. Write down the chemical reaction. (1) 9. a)Amines are basic in nature. Arrange the following compounds in the increasing order of their basic strength.

NH3, C6H5 NH2, CH3 - NH2, (CH3)2NH, (CH3)3N. (1)

b) How will you convert aniline (C6H5NH2) to chlorobenzene? (2) 10. Primary, secondary and tertiary amines can be distinguished by using Hinsberg’s reagent.

ii) What is Hinsberg’s reagent?

iii) How will you distinguish primary, secondary and tertiary amines using this reagent? (3) [March 12]

11.a) Carbyl amines have an offensive smell.

b) How will you convert nitrobenzene to aniline?

(1)

c) Aniline does not undergo Friedel-Crafts reaction. Why? (1)

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ii) write the carbyl amine reaction. (1) iii) How will you convert aniline to phenol? (1) b) How will you convert an amide into following?

i) An amine with one carbon atom less than that of the amide. (1)

ii) An amine containing same number of carbon atom as that in the amide. (1) c) Amines are versatile functional group useful in the preparation of many organic

compounds. How can you convert?

i) CH2-NH2 COOH (1)

to

ii) COOH NH2 (2)

to

12. a) A student tried to prepare p-nitroaniline by nitrating Aniline with Conc. HNO3 – Conc. H2SO4 mixture. But he got only m-nitroaniline. Why? (1½) b) Explain how he should proceed to get p-nitroaniline from aniline. (1½)

13. Aniline is an aromatic primary amine. Starting with aniline a number of organic compounds can be prepared.

a) How is aniline converted to benzene diazonium chloride? (1) b) How are the following obtained from benzene diazonium chloride?

i) Chlorobenzene ii) Phenol (2)

14. Aromatic amines are important synthetic intermediates.

a) What are the products obtained when aniline is treated with bromine water? (1)

b) How will you convert nitrobenzene to aniline? (1)

c) Write down the isocyanide test for the primary amines. (1)

15. A student was asked to convert nitrobenzene to benzene. Teacher suggested that he should first treat

nitrobenzene with Sn and HCl and then proceed with the product obtained to get benzene. Write down

Questions from the chapter “Haloalkanes and Haloarenes”

1. Haloalkanes and haloarenes are compounds containing halogen atom . They undergo many types of

reactions.

a) Identify the product f ormed in the following reaction:

CH3-CH2-CH2Cl al c. KOH

i) CH3-CH2-CH2-OH ii) CH3-CH(OH)-CH3 iii) CH3-CH=CH2 iv) CH3-C≡CH (1) b) i) Chloroform is stor ed in closed, dark coloured bottles completely filled up to the neck. Give

reason. (1)

ii) Write any two differences between SN1 and SN

2 reactions. (2) [SAY 2016]

2. Aryl halides are less reactive in nucleophilic substitution reactions.

a) i) Write any two reasons for less reactivity. (1) Give one exa mple for nucleophilic substitution reactions o f aryl halides. (1)

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(iv) Write a method for t he preparation of alkyl halides. (v) Which of the followin g is not a polyhalogen compound?

(a) Chloroform (b) Freon (c) Carbon tetrachloride (d) Chloro be nzene (1) [March 2016] 3. i) State Saytzeff rule. (1)

3. Identify the major and minor products obtained by the reaction between 2-bromobutane and alcoholic KOH. (1) 4. Write the product obt ained by the reaction between 2-bromobut ane and aqueous KOH. (1) iv) 2-Bromobutane exhibit optical isomerism. What is optical isomeri sm? (1)

4. a) Among the following which one is chlorine containing insecticide?

i) DDT ii) Fre on iii) Phosgene iv) Iodoform (1)

b) Haloarenes undergo Wurtz-Fittig reaction.

i) What is Wurtz-Fittig reaction? (1)

5. Most important chemical reactions of halo alkanes are their substitution reactions.

i) What is SN1 reaction? (1) ii) Arrange the fo ur isomeric bromobutanes in the increasing order of reactivity towards

SN1 reaction. (2) b) How will you prepare chlorobenzene from benzene diazonium chl oride? (1)

6. a) i) Write ‘Saytzeff rule’ (1) ii) The products A a nd B of the following reaction are two isomeric alkanes. Identify A & B.

CH3-CH2-CH2-CH( Br)-CH3 + alc. KOH----- A + B

b) a) For the preparation of alkyl chlorides from alcohols, thionyl chloride (SOCl2) is preferred. Give reason. (1) i) Halo alkanes undergo β-elimination reaction in presence of alcoholic potassium hydroxide.

Which is the major product obtained by the β-elimination of 2-bromo pentane. (½) Name the rule, which leads to the product in the above elimination reaction. (1)

j) Write the chemical equation for the preparation of toluene by Wurtz-Fittig reaction. (1½)

c) Haloarenes undergo nucleophilic and electrophilic substitution reactions. a) Write two examples for ambident nucleophiles. (1)

b) Write one example for nucleophilic substitution reaction of chlorobenzene. (1) c) Write any 2 examples of electrophilic substitution reaction of chlorobenzene. (2)

7. Nucleophilic substitution reactions are of two types – SN1 reactions and SN2 reactions.

i) Write any 2 differences between SN1 and SN2 reactions. (2) ii) Write any 2 reasons for the less reactivity of aryl halides towards nucleophilic

substitution reactions (2) 8. a) For the preparation of alkyl chlorides from alcohols, thionyl chloride (SOCl2) is preferred. Give reason. (1) b) Halo alkanes undergo β-elimination reaction in presence of alcoholic potassium hydroxide.

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Which is the major product obtained by the β-elimination of 2-bromo pentane. (½) Name the rule, which leads to the product in the above elimination reaction. (1)

c) Write the chemical equation for the preparation of toluene by Wurtz-Fittig reaction. (1) d) Haloarenes undergo nucleophilic and electrophilic substitution reactions.

a) Write two examples for ambident nucleophiles. (1)

b) Write one example for nucleophilic substitution reaction of chlorobenzene. (1) c) Write any 2 examples of electrophilic substitution reaction of chlorobenzene. (2)

9. Nucleophilic substitution reactions are of two types – SN1 reactions and SN2 reactions.

i) Write any 2 differences between SN1 and SN2 reactions. (2) ii) Write any 2 reasons for the less reactivity of aryl halides towards nucleophilic substitution reactions (2) 10. Alkyl halides are the starting materials for the synthesis of a number of organic compounds. How are the following compounds obtained from alkyl halide CH3-CH2-Br?

a) Ethane (1) b) Ethanol (1) c) Butane (1) d) Ethoxy ethane (1)

11 a) Most of the organic chlorides, bromides and iodides react with certain metals to give compounds containing carbon – metal bonds.

Give one example for such compound. (1) b) How will you prepare the above compound? (1)

12. How many chiral carbon and optical isomers are there for lactic acid? (1) 13. a) CH3-CH2-Br CH3-CH2-I (1)

b) CH3-CH2-CH2-Br alc. KOH ? (1) c) Freons are known with respect to ozone layer depletion.

i) What are freons? (1)

ii) How can you prepare a Freon from CCl4? (1) ii) How can you prepare a Freon from CCl4? (1) 14 Alkyl halides are the starting materials for the synthesis of a number of organic compounds. How are the following compounds obtained from alkyl halide CH3-CH2-Br?

a) Ethane (1) b) Ethanol (1)

c)Butane (1) d) Ethoxy ethane (1)

15a) You want to prepare CH3-CH2-CH2-Br from CH3-CH-CH2. What are the reagents you require? (1) b) C6H5-CH2-Cl can be converted to C6H5-CH2-OH by boiling with aqueous alkali. However C6H5-Cl

cannot be converted to C6H5-OH by this method. Explain. (3)

BIOLOGY

VSA (1 MARKS)

1. Offsprings produced by asexual reproduction are referred to as clones. Why?

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2. Name the most invasive aquatic plant weed which is called as ‘Terror of Bengal’.

3. How does Zygote usually differ from Zoospore in terms of ploidy?

4. Mention the main difference between the offspring produced by asexual reproduction and

progeny produced by sexual reproduction.

5. Which characteristic property of Bryophyllum is exploited by gardeners and farmers?

6. Higher organism have resorted to sexual reproduction inspite of its complexity. Why?

7. Tapeworms posses both male and female reproductive organs. What is the name given to such

organism? Give two more examples of such organisms.

8. Study the relationship between first two words and suggest a suitable word for fourth place.

(a) Male flower : Stamens :: Female Flower : .............................

(b) Birds : oviparous :: Primates : .............................

(c) Chlamydomonas : Zoospores :: Penicilium : .............................

(d) Ginger : Rhizome :: Agave : ............................. 11. Bryophytes and Pteridophytes produce a large number of male gametes but relatively very few

female gametes. Why?

12. Mention the site of zygote formation in the ovule of a flowering plant. What happens to sepals,

petals and stamens after fertilisation? State the fate of zygote, ovule and ovary in these plants.

13. Distinguish between gametogenesis and embryogenesis.

14. Fill the blank spaces a, b, c, and d given in the following table.

Organism Organ Gamete

a Testes Spermatozoa

Human female b Ovum

Plant (Angiosperm) c Pollen grains

Plant (pteridophytes) antheridium d

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LA (5 MARKS)

13. (a) Distinguish between asexual and sexual reproduction. Why is vegetative reproduction also

considered as a type of asexual reproduction?

(b) Which is better mode of reproduction : Sexual or Asexual? Why?

13. Because offsprings produced by Asexual reproduction is morphologically and genetically

identical to parent.

14. Water hyacinth (Eicchornia)

15. Zygote – diploid, zoospore – haploid.

16. Offspring produced by asexual reproduction are genetically similar while progeny produced by

sexual reproduction exhibit genetic variation.

17. Adventitious bud arising from margin of the leaf.

LA (II 2 MARKS)

2 Because of variations, gene pool, Vigour and Vitality and Parental care.

3 Hermaphrodite; Examples : Earthworm, Leech.

8. (a) Carpel (b) Viviparous

(c) Conidia (d) Bulbil

9. Because male gemete need medium (water) to reach egg/female gamete. A large number of

the male gametes fail to reach the female gamete.

LA – I (3 MARKS)

10. Embryo sac

Sepals, Petals and Stamens dry and fall off. Zygote develops into embryo. Ovule develops into

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seed and ovary into fruit.

11. Gametogenesis Embryogenesis

1. Formation of gametes 1. Formation of embryo

2. Produces haploid gametes 2. Embryo is diploid

3. Cell division is meiotic 3. Cell division is mitotic.

12. a = Human male b = ovary

c = Anther d = Antherozoid

13. (a)

Asexual Reproduction Sexual Reproduction

(i) Uniparental (i) Biparental

(ii) Gametes are not involved (ii) Gametes are involved

(iii) Only mitotic division takes (iii) Meiosis at the time of gamete

place formation and mitosis after

fertilisation

(iv) Offspring genetically (iv) Offspring different from parent.

similar to parent

Vegegative propagation takes plce when new individuals arise from vegetative part of

parent and have characters similar to that of parent plant.

(b) Sexual reproduction introduces variations in offsprings and has evolutionary significance. It

helps offsprings to adjust according to the changes in environment. It produces better

offsprings due to character combination.

(c) Mention the name and role of hormones which are involved in regulation of gamete formation

in human male.

(d) Three of the steps of neuro endocrine mechanism in respect of parturition are mentioned

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below.

Write the missing steps in proper sequence.

Signals originate from fully developed foetus and placenta.

______________________________.

______________________________.

Oxytocin causes strong uterine contraction

Uterine contraction stimulates further secretion of oxytocin.

______________________________. .

COMPUTER SCIENCE

ASSIGNMENT - SQL

1. Create a database LOAN

2. Open database LOAN

3. Create a table loan_account

4. Insert the following records

5. Add two

more column Interest of float type and Address of character type.

accno Cust_nam

e

Loan_amt instalment Int_rate Start_date

1 R.K.

GUPTA

300000 36 12.00 2009-07-

19

2 S.P.

SHARMA

500000 48 10.00 2008-03-

22

3 K.S.

DHALL

300000 36 NULL 2007-03-

08

4 S.P.

SINHA

800000 60 10.00 2008-12-

06

5 S.P.

SINHA

200000 36 12.50 2010-

01=03

6 S.P.

SHARMA

700000 60 12.50 2008-06-

05

7 K. S.

DHALL

500000 48 NULL 2008-03-

05

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6. Remove address column from the table.

7. Change the interest rate to 11.50% for all the loans for which interest rate is NULL.

8. Increase the interest rate by 0.5% for all the loans for which the loan amount is more than

400000

9. For each loan replace interest with ( loan_amt * int_rate*instalemnts) * 12/100

10. Display the details of all the loaners.

11. Display the accno, cust_name and loan_amt of all the loaners.

12. Display the details of all the loaners with less than 40 instalments.

13. Display the accno and loan amount of all the loaners started before 01-04-2009.

14. Display the int_rate of all the loaners started after 01-04-2009.

15. Display the details of all the loaners whose rate of interest is 12.50.

16. Display the details of all the loaners whose rate of interest is not 12.50.

17. Display the different(unique) loan_amount of various loans.

18. Display the number of installments of various loans.

19. Display the details of all loans started after 31-12-2008 for which the no of installments are

more than 36.

20. Display cust_name and loan amount for all the loaners for which the loan amount is less than

500000 or int_rate is more than 12.

21. Display the details of all the loans whose loan amount is in the range 400000 to 500000

22. Display the details of all the loans whose rate of interest is in the range 11% to 12%

23. Display the cust_name and loan amount for all loans for which the number of installments

are 24,36 or 48

24. Display accno, cust_name and loan amount for the loans for which the cust_name ends with

‘SHARMA’

25. Display accno, cust_name and loan amount for all the loans for which cust_name ends with

‘a’

26. Display accno,cust_name and loan amount for all the loans for which cust_name contains ‘a’

27. Display accno,cust_name and loan amount for all the loans for which cust_name does not

contains ‘P’

28. Display accno,cust_name and loan amount for all the loans for which cust_name contains ‘a’

as second last character.

29. Display the details of all the loaners in the ascending order of their loan amount.

30. Display the details of all the loans in the descending order of their start_date.

31. Display the details of all the loaners in ascending order of their loan amount and descending

order of their start_date.

32. Display the highest and lowest loan amount.

33. Display the highest and lowest Interest rate.

34. Display the number of records in the table.

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35. Display the sum and average of all the loan amounts.

36. Display the sum of loan amounts of each customer along with customer name.

37. Display the sum of loan amounts for each interest rate along with interest rate.

38. Display the sum of interest for each customer.

39. Display the number of loans taken by each customer.

40. Display the number of loans taken by “S.P. SINHA”.

41. Display the sum of loan amounts for each interest rate of loans having more than 40

installments.

42. Delete the records of all the loans whose start date is before 2007.

43. Delete the records of all the loans of ‘K.S. DHALL’

ASSIGNMENT: BOOLEAN ALGEBRA

1. Write the equivalent Boolean Expression for the following Logic Circuit

2. Write the equivalent Boolean Expression F for the following circuit diagram :

3. Draw a Logical Circuit Diagram for the following Boolean expression:

A.(B+C’)

4.Write the equivalent Boolean Expression F for the following circuit diagram:

5. Prove x’.y’+y.z = x’yz+x’yz’+xyz+x’yz algebraically.

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6. Prove that (a’+b’)(a’+b)(a+b’)=a’b’.

7. If F(a,b,c,d)=Σ(0,2,4,5,7,8,10,12,13,15), obtain the simplified form using K-Map.

8. If F(a,b,c,d) =Σ(0,3,4,5,7,8,9,11,12,13,15), obtain the simplified form using KMap

9.. Obtain a simplified form for a boolean expression USING K-MAP

F(U,V,W,Z)= π (0,1,3,5,6,7,10,14,15)

10.. Reduce the following boolean expression using K-Map F(A,B,C,D) =

Σ(5,6,7,8,9,12,13,14,15)

11. Reduce the following boolean expression using K-Map F(P,Q,R,S) =

Σ(2,3,4,5,6,7,8,10,11)

CLASSES AND OBJECTS

1. Define a class TEST in C++ with following description:

Private Members :

TestCode of type integer

Description of type string

NoCandidate of type integer

CenterReqd (number of centers required) of type integer

A member function CALCNTR() to calculate and return the number of centers as

(NoCandidates/100+1)

Public Members:

A function SCHEDULE() to allow user to enter values for TestCode, Description,

NoCandidate & call function

CALCNTR() to calculate the number of Centres

A function DISPTEST() to allow user to view the content of all the data members

2. Define a class HOTEL in C++ with the following description:

Private Members

Rno //Data Member to store Room No

Name //Data Member to store customer Name

Tariff //Data Member to store per day charge

NOD //Data Member to store Number of days

CALC //A function to calculate and return amount as NOD*Tariff and if the

value of NOD*Tariff is more than 10000 then as 1.05*NOD*Tariff

Public Members:

o Checkin( ) //A function to enter the content RNo,Name, Tariff and NOD

o Checkout() //A function to display Rno, Name, Tariff, NOD and Amount (Amount to

be displayed by calling function CALC( )

3 Define a class Applicant in C++ with following description:

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Private Members

A data member ANo ( Admission Number) of type long

A data member Name of type string

A data member Agg(Aggregate Marks) of type float

A data member Grade of type char

A member function GradeMe( ) to find the Grade as per the Aggregate Marks

obtained by a student. Equivalent Aggregate marks range and the respective Grades

are shown as follows

Aggregate Marks Grade

> = 80 A

Less than 80 and > = 65 B

Less than 65 and > = 50 C

Less than 50 D

Public Members

o A function Enter( ) to allow user to enter values for ANo, Name, Agg & call

function GradeMe( ) to find the Grade

o A function Result ( ) to allow user to view the content of all the data members.

4 Define a class report with the following specification :

Private members :

adno 4 digit admission number

name 20 characters

marks an array of 5 floating point values

average average marks obtained

getavg() to compute the average obtained in five subjects

Public members :

o readinfo() function to accept values for adno, name, marks, and invoke the function

getavg().

o displayinfo() function to display all data members on the screen you should give function

definitions.

5 Declare a class myfolder with the following specification :

Private members of the class

Filenames – an array of strings of size[10][25]( to represent all the names of files inside

myfolder)

Availspace – long ( to represent total number of bytes available in myfolder)

Usedspace – long ( to represent total number of bytes used in myfolder)

Public members of the class

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o Newfileentry() – A function to accept values of Filenames, Availspace and Usedspace

fromuser

o Retavailspace() – A Fucntion that returns the value of total Kilobytes available ( 1

Kilobytes = 1024 bytes)

o Showfiles() – a function that displays the names of all the files in myfolder

MATHEMATICS

Solve the following worksheet enclosed below in your mathematics

notebook after revising the chapters done in the class.

Revise continuity and differentiation.

Ch.3- Matrices

Q.1. Construct a 34 matrix, whose elements are given by aij= ji 32

1

Q.2. Construct a 23 matrix A = [aij] whose elements are given by aij = j

ij

4

)2( 3, i j

= i + 2j , i =j

Q.3. If A =

63

24

08

and B =

15

24

22

, then find the matrix X, such that 2A +

3X = 5B.

Q.4. If A =

02/tan

2/tan0

and I =

10

01

, then show that I+A= (I – A)

cossin

sincos

Q.5. Express the matrix A=

321

431

422

as the sum of symmetric and skew-symmetric

matrix

Q.6. Obtain the inverse of the matrix A =

113

321

210

using elementary transformations.

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Q.7. If f(x)=

100

0cossin

0sincos

xx

xx

Prove that f(x). f(y) = f(x + y)

Q.8. Show that the matrix BAB is symmetric or skew-symmetric according as A is symmetric

or skew symmetric.

Q.9. If A and B are invertible matrices of the same order, then prove that (AB)-1

= B-1

A-1

Q.10. Let f(x) = x2 – 5x + 6. Find f(A) If A =

011

312

102

Q.11. If A =

21

13Show that A

2 -5A + 7I = 0, Use this to find A

4.

Q.12. Express the matrix A =

121

753

124

as the sum of a symmetric and a skew-symmetric

matrix.

Q.13.Find the values of x, y, z if the matrix A =

zyx

zyx

zy20

satisfy the equation AA = I3.

Q.14. Show that :

12/tan

2/tan1

1

12/tan

2/tan1

=

cossin

sincos

Q.15. Find the inverse of

ibaidc

idciba, if a

2 + b

2 + c

2 + d

2 = 1.

Q.16. Using the method of reduction (i.e elementary row transformations),find the inverse of

121

654

321

Q.17. For what value of k the matrix A =

53

2 k has no inverse.

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Q.18 Prove that the product of matrices

2

2

sinsin.cos

sin.coscos

and

2

2

cos cos .sin

cos .sin sin

is the null matrix, when and differ by an odd multiple of 2

.

Q.19 A matrix X has a + b rows and a + 2 columns while the matrix Y has b + 1 rows and a +

3 columns. Both matrices XY and YX exist. Find a and b. Can you say XY and YX are of the

same type? Are they equal.

Q.20. Find the matrix A satisfying the matrix equation

23

12

35

23

=

10

01

Ch.4- Determinants

Q.1. Prove that :

1

1

1

2

2

2

xx

xx

xx

= (1- x3)

2

Q.2. Find the equation of the line joining A(1,3) and B(0,0) using determinants and find if D

(K, 0) is a point such that area of a triangle ABD is 3 square units.

Q.3. If A =

211

121

112

Verify that A3 – 6A

2 + 9A – 4I = 0 and hence find A

-1

Q.4. Prove that : u

qpxdcxbax

qxpdxcbxa

= (1 – x2)

u

qdb

pca

Q.5. Solve by matrix method:

2x + y + z = 1

x - 2y – z = 3/2

3y - 5z = 9

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Q.6. Prove that :

cbabaa

cbabaa

cbabaa

3610363

234232

= a3

Q.7. Prove that :

c

b

a

111

111

111

= abc + bc + ca + ab.

Q.8. Solve :

6432728

163924

43322

xxx

xxx

xxx

= 0

Q.9 Using determinants, find the area of the triangle whose vertices are (1, 4), (2, 3), (-5, 3). Are

the given points collinear.

Q.10. If the points (a1, b1), (a2, b2) and (a1 + a2, b1 + b2) are collinear, Show that a1b2 =

a2b1.

Q.11. If a, b, c are all positive and are pth , q

th and r

th terms of G.P., then show that

= 1log

1log

1log

rc

qb

pa

= 0

Q.12. If

0yxyz

cybxcb

byaxba

= 0, then Prove that

a, b, c are in G.P or x, y, z are in G.P

Q.13. If x, y, z are different and

= x x2 1+x

3

y y2 1+y

3 = 0, then show that 1+xyz = 0

Z Z2 1+Z

3

Q.14. Show that points A (a, b + c), B (b, c + a), C (c, a + b) are collinear.

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Q.15. The sum of three numbers is 6. If we multiply third number by 3 and add

second number to it, we get 11. By adding first and third numbers, we get double of the second

number. Represent it algebraically and find the numbers using matrix method.

Q.16. Show that the following system of equations is consistent 2x – y + 3z = 5, 3x + 2y –

z = 7, 4x + 5y – 5z = 9. Also, find the solution.

Q.17. Using matrix method, solve the following system of equations for x, y and z :

2 3 310,

x y z- + =

1 1 110,

x y z+ + =

3 1 213

x y z- + =

Q.18. Find whether the following system of equations is consistent or not, find the solution of

the system also.

3x-y+2z=3, x-2y-z = 1, 2x+y + 3z = 5.

Q.19. Determine the product

135

317

444 1 1 1

1 2 2

2 1 3

and use it solve the system of

equations :

x-y+z=4

x-2y-2z=9

2x+y+3z=1

Q.20. If A =

062

103

112

, find A-1

, using A solve the following system of linear equations.

2x – y + z + 3 = 0

3x – z + 8 = 0

2x + 6y – 2 = 0

. Q.21

))()()((Pr

2

2

2

zxyzxyxzzyyx

xyzz

zxyy

yzxx

thatove

Q.22. Show that ( y + z )2 x y z x

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x y ( x + z )2 yz = 2 x y z ( x + y + z )

3

x z y z ( x + y )2

LINEAR PRORAMMING PROBLEM

1. Rohan owns a field of 1000sq m. He wants to plant fruits trees in it. He has a sum of RS.1400 to

purchase young trees. He has a choice of two types of trees. Type A requires 10sq m of ground

per tree and costs Rs.20 per tree. Type B requires 20 sq m of ground per tree and costs Rs.25 per

tree .When fully grown, type A produces an average of 20 kg of which can be sold at a profit of

Rs.2 per kg and type B produces an average of 40kg of fruit which can be sold at profit of Rs.1.5

per kg. How many trees of each type should be planted to achieve maximum profit when they are

fully grown? What is the maximum profit? Formulate the above L.P.P. mathematically and then

solve it graphically. Other than providing fruits, in what way is the field owner serving the society

by planting trees?

2. A farmer decides to grow tomatoes and potatoes in upto 10 acres .He decided to grow tomatoes in

at least 2 but not more than 8 acres and potatoes in at least one but not more than 6 acres. If he

can make a profit of Rs.1500 per acre on tomatoes and Rs.2000 per acre on potatoes, how should

he plan his farming so as to get maximum profit, assumed the total yield that he get is sold?

Formulate the above L.P.P. mathematically and then solve it graphically.

3. A company produces two types of belts, say B1 and B2. Belt B1 is of a superior quality and belt

B2 is of a lower quality. Profits on type B1 and B2 are Rs.2 and Rs.1.50 per belt, respectively.

Each belt of type B1 requires twice as much time as required by a belt of type B2. If all belts were

of type B2, the company could produce 1000 belts per day. But the supply of leather is sufficient

only for 800 belts per day(both B1 and B2 combined). Belt B1 requires a fancy buckle and only

400 fancy buckles are available per day. For belt of type B2, only 700 buckles are available per

day. How should the company manufacture the two type of belt in order to have a maximum

overall profit? Express it as a L.P.P. anad then solve it.

4. Abhinav wants to invest at most Rs.12000 in kisan vikas patras and National saving bonds.

According to rules, he has to invest at least Rs.2000 in kisan vikas patras and at least Rs.4000 in

National saving bond. If the rate of interest on kisan vikas patras is 8% per annum and the rate of

interest on National saving bond is 10% per annum, how much money should he invest to earn

maximum yearly income? Also, find his maximum yearly income. Formulate the above L.P.P.

mathematically and solve it graphically.

5. If a 19 year old girl drives her car at 25km/hr, she has to spend Rs.2 /km on petrol. If she drives it

at a faster speed of 40km/h , the petrol costs increases to Rs.5/km. She has Rs.100 to spend on

petrol and wishes to find the maximum distance she can travel within one hour. Express it as a

L.P.P. and the solve it.

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6. A cottage industry manufactures pedestal lamps and wooden shades, each requiring the use of a

grinding/cutting machine and a sprayer. It takes 2hrs. on the grinding/cutting machine and 3hrs.

on the sprayer to manufacture a pedestal lamp while it takes one hour on grinding/cutting

machine and 2hrs. on the sprayer to manufacture a wooden shade. On any day, the sprayer is

available for at most 20 hrs. and the grinding/cutting machine for at most 12 hours. The profit

from the sale of pedestal lamp Rs.5 and a wooden shade is Rs.3. Assuming that the manufacture

can sell all the pedestal lamps and the wooden shades that he produces, how should he schedule

his daily production in order to maximize his profit? Express it as a L.P.P. and then solve it.

7. An airplane can carry a maximum of 200 passengers. A profit of Rs.1000 is made of each first

class ticket and a profit of Rs.600 is made on each economy class ticket. The airline reserves at

least 20 seat of first class. However, at least 4 times as many passenger prefer to travel by

economy class as by the first class. Determine how many tickets of each type must be sold in

order to maximise the profit of the airline? What is maximum profit? Formulate the above L.P.P.

mathematically and then solve it graphically.

8. A brick manufacturer has two depots, P and Q, with stocks of 30000 and 20000 bricks

respectively. He receives orders from three builders A,B and C, for 15000,20000 and 15000

bricks respectively. The cost in Rs for transporting 1000 bricks to the builder from the depots is

given in the following table.

To from A B C

Q 40 20 30

P 20 60 40

How should the manufacturer fulfill the order so as to keep the cost of transportation

minimum? Formulate the above L.P.P. mathematically and then solve it graphically.

9. Maximize Z=-3x-5y subject to the constraints:

-2x + y < 4, x+ y >3, x -2y < 2, x > 0, y > 0

10. Solve the following L.P.P. graphically

Minimise Z= 2x + 3y subject to constraints:

2x + 3y > 6, x – y > 0, 2x + y< 8, x > 0, y > 0

11. Solve the following L.P.P. graphically

Maximise Z= 2x – 5y subject to the constraints:

X + y > 2, x – y > 0, x < 1, x > 0, y > 0

12. Solve the following L.P.P. graphically:

Minimize Z = x + 5y subject to constraints:

X + y > 5, 2x – 5y > 10, x < 2, x > 0, y > 0

13. An oil company has two depots, P and Q, with capacities of 7000 litres and 4000 litres

respectively. The company is used to supply oil to three petrol pumps D,E and F whose

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requirements are 4500 litres, 3000 litres and 3500 respectively. The distance between the depots

and the petrol pump is given in the following table:

Distance (in km)

To from P Q

D 7 3

E 6 4

F 3 2

Assuming that the transportation cost per km is Rs.2 per litre, how should the delivery be

scheduled in order that the transportation cost is minimum? Formulate the above L.P.P.

mathematically and then solve it graphically.

14. A cooperative society of farmers has 50 hectares of land to grow two crops X and Y. The profits

from crops X and Y as per hectare are estimated as Rs.10500 and Rs.9000 respectively. To

control weeds , a liquid herbicide has to be used for crop X and Y at rates of 20 litres and 10

litres per hectare respectively .further , no more than 800litres of herbicide should be used in

order to protects fish and wild life using a pond , which collects drainage from this land. How

much land should be allocated to each crop so as to maximise the total profit of the society?

Formulate the above L.P.P. mathematically and then solve it graphically.in what ways does a

cooperative society help the farmer?

15. Maximize z = x + y subject to constraints:

3x + y < 6, x + 2y < 4, x >0, y >0

16. A box manufacturer makes large and small boxes from a large piece of cardboard. The large

boxes require 4 sq m per box while the small boxes require 3 sq m per box. The manufacturer is

required to make at least three large boxes and at most twice as many small boxes as large

boxes. If 60 sq m of cardboard is in stock, and if the profits on the large and small boxes are Rs.3

and Rs.2 respectively, how many of each should be made in order to maximise the total profit?

Formulate the above L.P.P. mathematically and then solve it graphically.

17. The postmaster of local post office wishes to hire extra helpers during the deepawali season,

because of a large increase in the volume of mail handling and delivery. Because of the limited

office space and the budgetary condition, the number of temporary helpers must not exceed 10.

According to past experience, a man can handle 300 letters and 80 packages per day, on the

average, and a woman can handle 400 letters and 50 packages per day . The postmaster

believes that the daily volume of extra mail and packages will be no less than 3400 and 680

respectively. A man receives Rs.225 a day and a woman receives Rs.200 a day. How many men

and women helpers should be hired to keep the pay-roll at a minimum? Formulate an L.P.P. and

solve it graphically.

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18. A fruit grower can use two types of fertilisers in his garden,brand P and brand Q. The amounts

(in kg) of nitrogen,phosphoric acid, potash and chlorine in a bag of each brand are given in the

table. Test indicate that the garden needs at least 240kg of phosphoric acid ,at least 270 kg of

potash and at most 310kg of chlorine. If the grower wants to minimize the amount of nitrogen

added to the garden, how many bags of each brand should be used? What is the minimum

amount of nitrogen added in the garden? Formulate the above L.P.P. mathematically and solve

it graphically.

Brand P Brand Q

Nitrogen 3 3.5

Phosphoric acid 1 2

Potash 3 1.5

Chlorine 1.5 2

19. Every gram of rice provides 0.1 g of protein and 0.25 g of carbohydrates, and the corresponding

values of wheat are 0.05 g respectively. It is given that rice costs Rs.40 per kg and wheat Rs.60

per kg. The minimum daily requirements of proteins and carbohydrates for an average child are

50 g and 200g respectively. In what quantities should rice and wheat be mixed in daily diet to

provide minimum daily requirements of proteins and carbohydrates at minimum cost?

Formulate the above L.P.P. mathematically and then solve it graphically. What other nutrients

should be included in the diet for a healthy living? Mention any three.

20. A retired person wants to invest an amount of Rs 50000. His broker recommends investing in

two types of bonds A & B yielding 10% & 9% return respectively on the invested amount. He

decides to invest at least Rs 20000 in bond A and at least Rs10000 in bond B. He also wants to

invest at least as much in bond A as in bond B. Solve this LPP graphically to maximize his returns.

21. There are two types of fertilisers A& B. A consists of 12% nitrogen and 5% phosphoric acid

whereas B consists of 4% nitrogen and 5% phosphoric acid. After testing the soil conditions, a

farmer finds that he needs at least 12 kg of nitrogen and 12 kg of phosphoric acid for his crops. If

A costs Rs10 per kg and B costs Rs 8 per kg, then graphically determine how much of each type

of fertilisers should be used so that nutrient requirements are met at a minimum cost.

22. Two tailors A and B earn Rs 150 and Rs 200 per day respectively. A can stitch 6 shirts and 4 pants

per day while B can stich 10 shirts and 4 pants per day. Form a LPP to minimise the labour cost

to produce atleast 60 shirts and 32 pants.

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HINDI

निरे्दश –कार्य स्वच्छता से तथा ध्र्ािपूवयक करें |

1. प्रतिदिन दिन्िी समाचार पत्र पदिए िथा उसमें से कोई िो स्िम्भ लेखन , िो आलेख ,िो फीचर आलेख ललखखए |

2. शरि जोशी का व्यंग्य “सरकार का जािस” , “यदयह मिोिय” , "जीप र जीप ाले “पदीए िथा दकन्िी िो की समीहा

कीजजए | 3. कर ाए गए समस्ि कायय की पुनरा तृि कीजजए |

ECONOMICS Learn unit 1 & 2.

Do numerical based on price elasticity given in the text book in class

notebook. Daily read newspaper and collect information regarding economy and paste

any 5 important economic news weekly.

BUSINESS STUDIES

1. Assignment on the following chapters :

Principle of management. Marketing management. Nature & significance of management.

2. The project work is given on the following

topics:

Principle of management. Marketing management.

ACCOUNTANCY

Prepare a comprehensive project on A4 size sheets with proper

margins and format. Students need to prepare cashbook, journal,

ledger, trial balance, trading and P&L A/C and Balance Sheet.

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Collect 10 Balance Sheet and 10 Statement of P&L of Public

limited companies.

Do the assignment of Admission and Change in PSR.

Prepare a project on segment analysis of any public limited company

to find out that which segment is best and most profitable segment.

ECONOMICS

Learn unit 1 & 2.

Do numerical based on price elasticity given in the text book in class notebook. Daily read newspaper and collect information regarding economy and paste any

5 important economic news weekly.

HAVE A LOT OF FUN- ENJOY YOUR WORK!