D.A.V. S.K.V.B. HIGHER SECONDARY SCHOOL

(under management of D.A.V. College) Jawalakhel, Lalitpur

Dashain Assignment Class: XII Subject : ACCOUNTANCY

Group A 1. a) Write the advantages of decentralized stores.

b) Define materials control. Describe any three importance of material control.

c) What is store routine? d) Mention the steps involved in purchase procedure. 2. a) Write any six features of good wage payment system. b) Differentiate between time rate system and piece rate system. c) Define labour cost. Write its any three importances. d) Define direct labour cost and indirect labour cost with suitable example.

3. a) Differentiate between allocation and apportionment of overheads. b) Define overheads. Describe the types of overheads on the basis of

control. c) Define variable cost with suitable example d) Define fixed cost with suitable example. 4. a) What do you understand by output costing? b) List out any three items which are not recorded in cost sheet. c) What do you mean by profit reconciliation?

Store ledger card 1. The following data relate to the receipts and issues of a particular component during the month of Falgun. Falgun 1 Opening stock 540 units @ Rs. 4 per unit Falgun 2 issued 500 units. Falgun 8 Purchased 600 units @ Rs. 4 per unit. Falgun 9 Issued 540 units. Falgun 12 Purchased 600 units @ Rs. 6 per unit. Falgun 15 Issued 550 units. Falgun 16 Purchased 600 units @ Rs. 6 per unit. Falgun 20 Return from work order 40 units of Rs. 200 Falgun 21 Issued 400 units.

Required: Store ledger card under LIFO method. 2. The following particulars are given to you: Feb 1 Stock in hand 5000 units @ Rs. 50 each Feb 5 Issued 4000 units Feb 7 Purchased 12000 units @ Rs. 52 each Feb 9 Issued 10000 units Feb 11 Purchased 2100 units at Rs. 53 each Feb 13 Returned to store 500 units (issued on 9th Feb) Feb 15 Issued 1000 units Feb 17 Issued 5000 Units Feb 60 It was noticed that there was a shortage of 100 units Required: Stock ledger under last-in-First out method. 3. A company has purchase and issued the materials in following orders. Aswin 1, 2070 Balance in hand 800 units @ Rs. 10 Aswin 3, 2070 Issued 300 units units. Aswin 10, 2070 Purchased 900 units @ Rs. 9 per unit Aswin 12, 2070 Returned of surplus from a work order 50 units . Aswin 15, 2070 Issued 180 units Aswin 18, 2070 Purchased 7 units @ Ra. 11 per unit Aswin 19, 2070 Issued 200 units Aswin 20, 2070 30 units’ loss due to damage. Aswin 22, 2070 Issued 300 units. Required: Stock ledger under First-in-First out (FIFO) method. 4. The following particulars are given to you: a. Balance in hand 1,400 units @ Rs. 30 each b. Issued 600 units c. Purchased 700 units @ Rs. 32 each d. Issued 400 units e. Purchased 800 units at Rs. 33 each f. Returned to store 85 units. g. Issued 250 units h. Issued 300 Units i. It was noticed that there was a surplus of 25 units Required: Stock ledger under First-in-First out (FIFO) method. Stock Level and EOQ 1. The following information in provided to you. Re-order level 2000 units.

Re-order quantity 1500 units Lead time 8 to 10 days Daily consumption 100 to 200 units Required: Maximum stock level. 2. The following information in provided to you. Re-ordering level 22000 units. Re-order quantity 17000 units Lead time 12 to 16 days Daily consumption 1000 to 1200 units Required: Maximum stock level. 3. The following information are provided to you: Re- order period : 5-7 weeks Consumption : Maximum 50Kgs per week Minimum 60 kgs per week Maximum stock level: 1,800 kgs Re-order level: 1400kgs Required: Re-order quantity. 4. The following information are provided to you: Normal consumption per week: 10,000 units. Minimum consumption per week: 8,000 units. Re-order period: 12 to 20 weeks Required:i) Re-order level II) Minimum stock level 5. The following information are provided to you: Minimum consumption: 300 kgs per day. Maximum consumption: 700 kgs per day. Lead time: 6 to 10 days Re-order quantity: 2500klgs Required: Maximum stock level 6. A company buys a certain material from outsiders at Rs. 2 each. Total annual requirement are 18000 units. The ordering cost per order is Rs. 100. The carrying cost is estimated at 20%of inventory value. Calculate EOQ and number of orders. Required a)EOQ b)No of orders. c) Total cost at EOQ 7. The following data are available from the books of a company. Annual requirement : 60, 000 Ordering cost per order : Rs. 60 Cost per unit : Rs. 50 Carrying cost : 10% of average inventory value excluding the Insurance charge of Re. 1 Required: a) EOQ b) No of orders.

8. The following data are available from the books of a company. Monthly requirement : 300 Ordering cost per order : Rs. 400 Cost per unit : Rs. 40 Carrying cost : 5% of average inventory value including the Insurance charge of Re. 1 Required a) EOQ b) No of orders. c) Total cost at EOQ 9. The following data are available from the books of a company. Annual requirement : 9000 Ordering cost per order : Rs. 100 Cost per unit : Rs. 50 Carrying cost : 40% of material price per unit. Required a)EOQ b)No of orders. c) Total cost at EOQ 10. The following data are available from the books of a company. Annual requirement : 12,000 units. Ordering cost per order : Rs. 60 Cost per unit : Rs. 10 Annual storage cost : 10% of cost per unit. Required a)EOQ b)No of orders. c) Total cost at EOQ Labour cost 1. The following information are supplied to you.

Wage rate per hour Rs.15 No of working days in a month :26 days Working hour in a day : 8 hours

Required: Total wages earned under time rate system 2. The following information are supplied to you. Standard rate per hour Rs.60 Weeks in a month : 4 weeks Working hour in a week : 50 hours Required: Total wages earned under time rate system 3. The following information is supplied to you. Wages rate per hour Rs.240 No. of day in a month 25 days Daily working hours 6 hours Required: Total wages earned by a worker under time rate system.

4. The following information is supplied to you. Wage rate per hour :Rs10 Time taken per unit :2 hours. Unit produced by Mr. Hanuman : 50 Units Required: Total wages earned by a worker under time rate system. 5. The following information is supplied to you. Wage rate per hour :Rs120 Time taken per unit :3 hours. Unit produced by a worker : 500 Units in a month. Required: Total wages earned by a worker in a month under time rate system. 6. Following information are available. Wage rate per hour :Rs50 Time taken per unit :30 minutes. Unit produced by Mr. X : 100 Units Required: Total wages earned by a worker under time rate system 7. Following information are available. Wage rate per hour :Rs50 Time taken per unit :10 minutes. Unit produced in a month : 60, 0 00 Units Required: Total wages earned by a worker under time rate system. 8. Following information are available. Wage rate per hour :Rs60 Time taken per unit :30 minutes. Unit produced in a month : 1, 0 00 Units Required: Total wages earned by a worker under time rate system. 9. The standard output per hour is 6 units. And a worker spent 240 hours in a month. The piece wage rate is Rs. 10 per unit. Find the total wage earned by a worker in a month using piece rate system.

10. The standard time taken to produce a output is 2 minutes and a worker spent 200 hours in a month. The piece wage rate is Rs. 5 per unit. Find the total wage earned by a worker in a month using piece rate system.

Tender sheet 1. A food industry showed the following details of its production for the previous year. Direct material Rs. 250,000 Direct labour Rs. 100,000 Factory overhead Rs. 50,000 Administrative overhead Rs. 40,000 The industry wants to estimate the total cost and selling price for next lot. The costing

department estimated the direct cost as following. Direct materials Rs. 50,000 Direct labour Rs. 40,000 Carriage on purchase Rs. 5000 Overheads are to be allocated as below Factory overhead : on the basis of direct labour Administrative overhead : on the basis of factory cost Profit : 10% of sales Required: a) Cost sheet for previous year b) Tender sheet for next lot. 2. The following cost data is obtained from the books of Bidhan Company Ltd. for

the year ending 31stChaitra 2067 Direct materials Rs. 40,000 Direct wages Rs. 60,000 Factory overhead Rs. 30,000 Office overhead Rs. 26,000 Net profit Rs. 17,000 Selling and distribution ohs. Rs. 13,000 Required:

a) Cost sheet. b) % of overheads on suitable basis. c) % of net profit on cost.

d)Tender sheet for a job which requires material Rs. 20000, wages Rs.13000 and the rate of overheads and profit same as in 2068.

3. A company provides following information from his past records.

Particulars Amount

Materials

Labour

78000

52000

Prime cost

Add: Factory Overheads

Work Cost

Add: Office Overheads

Total cost

130000

31200

161200

29016

190216

Required: Show the tender price of 200 pilot pens which requires materials Rs.150 each and labour cost Rs.100 each. Also the yield a profit @ 20% on tender price. 4. A Ghee industry showed the following details of its production for the year 2012. Material Rs. 50,000 Wages Rs. 40,000 Work overhead Rs. 20,000 Office overhead Rs. 15,000 The industry wants to estimate the total cost and selling price for a tender. The

costing department estimated the direct cost as following. Direct materials Rs. 10,000 Labour Rs. 8,000 Freight on purchase Rs. 500 Overheads are to be allocated as below Factory overhead : on the basis of prime cost Administrative overhead : on the basis of factory cost Profit : 10% of total cost Required: a) Cost sheet for the year2012 b) Tender sheet. 5. A radio manufacturing company supplied the following information for the production of 50 radios during the month Chaitra 2071. Direct materials Rs.1, 00, 000 Productive wages Rs. 75, 000 Factory overheads Rs. 25, 000 Administrative overheads Rs. 50, 000 The company receives an order of 20 radios in the month of Baisakh 2072.All the cost for the tender are assumed same proportionate to the cost statement of previous month and the company wants to earn 10% profit on tender price. a) Prepare cost-sheet. b) Tender sheet. CRS 1. The net profit shown by income statement difference with that of net profit shown

by cost statement. Upon the comparison of two accounts following differences were noticed:

Over valuation of opening stock in financial account Rs. 12,000

Interest from investment shown in financial account Rs. 2000 Work overhead overcharged in cost account Rs. 2900 Income tax provided in financial account Rs. 21,000

Required: Reconciliation statement if Cost account reported profit isRs. 48,000.

2. The net profit as per financial account was Rs. 42,000 on reconciliation the following differences were noticed:

a) Work overhead under recovered in cost account Rs. 6000 b) Interest charged in financial account Rs. 4000 c) Opening stock over valued in financial account Rs. 10,000 d) A profit of Rs. 5,000 on sale of fixed assets was shown in financial

account. Required: Reconciliation between financial and cost account.

3. The profit shown by cost account for the period Rs.36000. Prepare cost reconciliation statement from the following information:

Items In cA In FA Selling and distribution overheads 40000 55000 Depreciation 17000 13000 Factory overheads 22000 22500 Closing stock 6000 7500 Interest on investment - 2500

4. The net profit shown by income statement difference with that of net profit shown

by cost statement. Upon the comparison of two accounts following differences were noticed:

Over valuation of closing stock in financial account Rs. 1,000 Rent received only shown in financial account Rs. 9000 Administrative overhead under charged in cost account Rs. 3200 Loss due to fire provided in financial account Rs. 2,000 Required: Reconciliation statement if Cost account reported profit is Rs. 1,00,000. 5. The profit and loss a/c showed net profit Rs. 52000 for the year ended. Prepare cost reconciliation statement from the following information:

Items In cA In FA Factory overheads 5000 7000 Depreciation 5750 6630 Opening stock 12000 9000 Closing stock 6000 7500 Income tax - 2250

e) Bank interest credited in financial accounts Rs.4,500 Work Sheet 1. A company provides an unadjusted trail balance for the year ended 31st December 2006.

Particulars Debit Credit Expenses 26000 - Debtors 116,000 - Land and building 420,000 - Loan - 62,000 Equipment 188,000 - Bills payable - 316,000 Share capital - 300,000 Sales revenue - 850,000 Purchase 732,000 - Insurance 46,000 - Total 1,528,000 1,528,000

Adjustments: a) Depreciation on equipment Rs. 48,000 b) Closing stock Rs. 100,000 c) Prepaid insurance Rs. 20,000

Required: a. 10 Column work-sheet. B) And adjustment entries 2. Classic Education Foundation Pvt. Ltd. provides an unadjusted trail balance for the year ended 31st December 2012.

Particulars Debit amount Particulars Cr. Amount Building 700,000 Share capital (5000 shares) 500,000 Purchase 300,000 Sales 800,000 Sundry debtor 300,000 Debenture 50,000 Salaries 50,000 Sundry creditor 100,000 Debenture interest 7,500 Rent received 50,000 Factory rent and rates 42,500 Bad debt 35000 Wages paid 65,000 Total 15,00,000 15,00,000

Further information: a) Depreciation on Building at 10% p.a. b) Closing stock was valued Rs. 100,000 c) Salary still payable Rs 5000

Required: a. 10 Column work-sheet. B) And adjustment entries 3. The following trail balance of a company in given:

Particulars Debit amount

Particulars Cr. Amount

Plant and machinery 100,000 Share capital (3000 shares) 300,000 Land and building 450,000 Sales 800,000 Purchase 300,000 Sundry creditor 45,000 Sundry debtor 100,000 Debenture 100,000

Cash at bank 60,000 Salaries 50,000 Debenture interest 10,000 Factory rent and rates 40,000 Bad debt 5000 Opening stock 130,000

Further information: a) Closing stock valued at Rs. 100,000 b) Depreciate plant by 10% c) Make provision for bad debt @ 5% Required: a) 10 Column work-sheet.

4. The following trail balance of a company in given: Particulars Debit

amount Particulars Cr.

Amount Goodwill 60,000 Share capital (5000 shares) 500,000 Land and building 450,000 Sales 1,82,000 Purchase 1,80,000 Sundry creditor 2,000 Sundry debtor 29,000 10% bank loan 1,00,000 Cash at bank 55,000 Reserve fund 50,000 Wages and salaries 15,000 Interest on bank loan 10,000 Office salary 20,000 Bad debt written off 15000 Total 8,34,000 8,34,000

Further information: a) Closing stock valued at Rs. 60,000 b) wages to be paid Rs. 8,000 Required: a) 10 Column work-sheet. b) And adjustment entries

5. The following trail balance of a company in given:

Particulars Debit amount

Particulars Cr. Amount

Furniture 50000 Share capital (5000 shares)

400,000

Land and building 450,000 Sales 700,000 Purchase 300,000 Sundry creditor 50,000 Sundry debtor 100,000 Profit and loss account 55,000 Wages 140,000 10% Debenture 100,000 Salaries 50,000 Debenture interest 10,000 Factory rent 40,000 Interim dividend 35,000 Opening stock 130,000 13,05,000 13,05,00

0 Further information:

a) Closing stock valued at Rs. 100,000 b) Make provision for bad debt @ 5% c) The board of Director proposed a final dividend of Rs. 50,000.

Required: 12 Column work-sheet. 6. A company provides an unadjusted trail balance for the year ended 31st

December 2006. Particulars Debit Credit

Expenses 16000 - Debtors 116,000 - Land and building 420,000 - Loan - 60,000 Equipment 188,000 - Bills payable - 316,000 Share capital - 200,000 Retained earning - 102,000 Dividend paid 10,000 - Sales revenue - 850,000 Purchase 732,000 - Insurance 46,000 - Total 1,528,000 1,528,000

Adjustments: a) Depreciation on equipment Rs. 48,000 b) Closing stock Rs. 100,000 c) Provide income tax Rs. 20,000 d) Prepaid insurance Rs. 20,000

Required: 12 Column work-sheet. 7. Classic Education Foundation Pvt. Ltd. provides an unadjusted trail balance for the year ended 31st December 2012.

Particulars Debit amount

Particulars Cr. Amount

Building 700,000 Share capital (5000 shares)

500,000

Purchase 300,000 Sales 800,000 Sundry debtor 300,000 15% Debenture 50,000 Salaries 50,000 Sundry creditor 100,000 Debenture interest 7,500 Profit and loss account 50,000

Factory rent 42,500 Bad debt 35000 Interim dividend 65,000 Total 15,00,000 15,00,000

Further information: a) Depreciation on Building at 10% p.a. b) Closing stock was valued Rs. 100,000 c) Salary still payable Rs 5000

Required: 12 Column work-sheet. Final account 1. The trail balance of Kathmandu Co. is given below:

Particulars Debit Rs. Particulars Credit Rs. Purchase 7,00,000 Paid up capital (4,000 equity share

of Rs. 100 each.) 400,000

Opening stock 2,00,000 Sales 10,00, 000 Discount 13,000 5% Debentures 100000 Salaries 110,000 Purchase return 50,000 Labour 27000 Sundry creditors 60,000 Sundry debtors 4500 Short term loan 25,000 Last year’s tax paid 18,000 Land 24,000 Cash at bank 6000 Freight inwards 5,000 Plant and Machinery 164000 Building 140000 Furniture and fixture 105000 General expenses 58,000 Interest on debenture 2500 Director’s remuneration 58,000 Total 16, 35, 000 16, 35, 000

Additional information: a) Value of closing stock at the Rs. 10,000 b) Dep-n of building 10% plant and Machinery 20% and furniture 15% c) Provision for bad debt to be maintained by 5% d) Transfer to general reserve Rs. 75,000 e) The director's decided to pay dividend at 15% on paid up capital. f) Charge interest on loan for whole year. g) Outstanding salaries 10,000.

Required: Trading account, Profit & loss account, Profit & loss appropriation account and Balance sheet 2.Following are the trial balance of Sallu Company Ltd. As on 31stDecember 2006 Particulars Dr. Amt Particulars Cr. Amt Cash in hand 80,000 Gross profit 1,86,000

Debtors 25,000 Share capital 5,40,000 Bills receivable 97,000 10% debenture 6,00,000 Salary 78,000 Reverse fund 45,000 Investment at 6% 80,000 Profit & loss appropriate A/c 30,000 Land 6,00,000 Creditors 29,700 Plant 2,00,000 Bills payable 50,000 Motors 35,000 Interest on investment 4,800 Closing stock 2,00,000 Interim dividend 10,000 Preliminary expenses 8,500 Bad debts 2,000 Calls in arrears 40,000 Interest on debenture 30,000 14,85,000 14,85,000 Adjustments:

a. Depreciation on plant 10% b. Appreciate land by 20% c. Discount on debtors at 2% d. Prepaid salary 1,300. e. Divided on equity capital @10% to be provided. f. Transfer to reserve fund Rs.2,000 g. Last year,s tax paid Rs.2,000

Required: Trading account, Profit & loss account, Profit & loss appropriation account and Balance sheet 3. Following are the trial balance of Chandra Nepal Ltd. As on 31st December 2013. Particulars Dr. Amt Particulars Cr. Amt Land 50,000 Bills payable 12,000 Business premises 30,000 Creditors 9,250 Bills receivable 10,000 Sales 50,000 Wages 8,750 Rent 250 Debtors 15,500 Commission 300 Purchase 20,000 Capital (paid up) 88,000 Insurance 4,250 10%loan 62,000 Rent 1,300 Opening stock 4,250 Vehicle 31,000 Audit fee 4,000 Cash 42,750 Adjustment:

a) Closing stock cost Rs.50,000(market price Rs.60,000) b) Depreciation on vehicle 10% P.A c) Appreciation on land Rs.10,000 d) Provision for bad & doubtful debts Rs.500 e) Prepaid insurance Rs.250 f) Accrued rent expenses Rs.700 g) Provision for Tax @ 30% on net income h) Divided on paid up capital @ 10% i) Transfer to assets replacement fund Rs.5,000

Required: a. Trading account b. Profit and loss account

c. Profit and loss appropriation account d. Balance sheet 4. Mechi Trading Company provides you the following trial balance as on 31stashadh, 2069 Particulars Dr. Amt Particulars Cr. Amt Opening stock 50,000 Sales 6,20,000 Purchases 4,50,000 Equity capital 2,20,000 Cash 74,000 10% preference capital 2, 00, 000 Wages & salary 70,000 Share premium 20,000 10% government bond 1,10,000 General reserve 75,000 Goodwill 35,000 Account payable 38,000 Fixed assets 1,95,000 Profit & loss account of last year 12,900 Advance tax paid 66,500 Insurance 55,400 Establishment charges 40,000 Calls-in-arrears 20,000 Underwriting commission 5,000 Discount in issue of share 15,000 11,85,000 11,85,000

Additional information: i. Stock at end for year was valued Rs.2, 00,000. ii. Material costing 10,000 was destroyed by fire and insurance company admitted

the claim fully. iii. Make provision for tax 25%. iv. Directors proposed a divided of 20% on paid up capital. v. Depreciation on fixed assets by Rs.35,000 vi. Un-expired insurance Rs.5,400

Required: Trading account, Profit & loss account, Profit & loss appropriation account and Balance sheet

Group B( For failed student in unit test) 1. A company has purchase and issued the materials in following orders. March 1, 2014 Purchased 1200 units @ Rs 12.5 per units. March 3, 2014 Issued 750 units units. March 10, 2014 Purchased 900 units @ Rs. 9.5 per unit March 12, 2014 Returned of surplus from a work order 50 units . March 15, 2014 Issued 180 units March 18, 2014 Purchased 7 units @ Rs. 11.5 per unit March 19, 2014 Issued 200 units March 20, 2014 50 units’ destroyed by fire. March 22, 2014 Issued 300 units. Required: Stock ledger under First-in-First out (FIFO) method. 2. The following particulars are given to you: Feb 1 Beginning Stock 1700 units @ Rs. 0.5 each Feb 5 Issued 1100 units

Feb 7 Purchased 1500 units @ Rs. 0.6 each Feb 9 Issued 1000 units Feb 11 Purchased 2100 units at Rs. 0.75 each Feb 13 Returned from department 500 units (issued on 5th Feb) Feb 15 Issued 700 units Feb 17 Issued 600 Units Feb 60 It was noticed that 300 units were stolen by a worker. Required: Stock ledger under First-in-First out (FIFO) method. 3. A company has purchase and issued the materials in following orders.

March 1, 2014 Purchased 1200 units @ Rs 12.5 per units. March 3, 2014 Issued 750 units units. March 10, 2014 Purchased 900 units @ Rs. 9.5 per unit March 12, 2014 Returned of surplus from a work order 50 units . March 15, 2014 Issued 180 units March 18, 2014 Purchased 7 units @ Rs. 11.5 per unit March 19, 2014 Issued 200 units March 20, 2014 50 units’ destroyed by fire. March 22, 2014 Issued 300 units. Required: Stock ledger under Last-in-First out (LIFO) method.

4.Following are the trial balance of Sallu Company Ltd. As on 31stDecember 2006 Particulars Dr. Amt Particulars Cr. Amt Cash in hand 80,000 Share capital 5,00,000 Debtors 25,000 10% debenture 4,00,000 Bills receivable 90,000 Reserve fund 1,67,000 Salary 70,000 Profit & loss appropriate a/c 50,000 Land 6,00,000 Closing stock 2,00,000 Interim dividend 10,000 Bad debts 2,000 Interest on debenture 40,000 11,17,000 11,17,000 Adjustments:

a) Appreciate land by 20% b) Prepaid salary 1,300. Required: a) 12 Column work-sheet. B) Adjustment entries 5. Following are the trial balance of Chandra Nepal Ltd. As on 31st December 2013. Particulars Dr. Amt Particulars Cr. Amt

Business premises 30,000 Bills payable 7,000 Wages 8,000 Sales 50,000 Debtors 15,500 Rent 2500 Purchase 20,000 Capital (paid up) 1,00,000 Insurance 4,250 Opening stock 4,250 Vehicle 31,000 Audit fee 4,000 Cash 42,500 1,59,500 1,59,500 Adjustment:

a. Depreciation on vehicle 10% P.A b. Prepaid insurance Rs.250 c. Accrued rent Rs.700

Required: a) 12 Column work-sheet.

6. The trail balance of Birat Co. is given below: Particulars Debit Rs. Particulars Credit Rs.

Purchase 500,000 Paid up capital 200,000 Opening stock 50,000 Sales Revenue 800,000 Salaries 60,000 Discount 5,500 Discount 10,000 Short term loan 50,000 Sundry debtors 60,000 Land 300,000 Cash at bank 40,000 Carriage inwards 10,000 Rent and rates 25,500 Total 10,55,500 10,55,500

Additional information: a) Value of closing stock at the Rs. 40,000 b) Appreciation of land by Rs. 50,000

7.The following trail balance of a company in given: Particulars Debit

amount Particulars Cr.

Amount Furniture 5,000 Capital 10, 000 Machinery 2, 000 Sales 8, 000 Purchase 3, 000 Sundry creditor 3, 000 Sundry debtor 1, 000 Bank overdraft 1,000 Cash at bank 600 Wages 140 Salaries 5000 Factory rent and rates 4000 Bad debt 60

Opening stock 1, 200 Further information:

a) Closing stock valued at Rs. 700 b) Salary to be paid Rs. 100 c) Depreciate machinery by 10%

Required: a) 10 Column work-sheet. 8. The following trail balance of a company in given: :

Particulars Debit amount

Particulars Cr. Amount

Fixed assets 100,000 Capital 500,000 Goodwill 60,000 Sales 3,00,000 Land and building 450,000 Sundry creditor 25,000 Purchase 1,80,000 Bank loan 1,00,000 Sundry debtor 20,000 Cash at bank 55,000 Wages and salaries 15,000 Administrative expenses 25,000 Office salary 20,000

Further information: a) Closing stock valued at Rs. 60,000 b) wages to be paid Rs. 8,000 c) Depreciate fixed assets by 15% d) Make provision for bad debt @ 5%

Required: a) 10 Column work-sheet. b) And adjustment entries 9. The trial balance of Goodwill Company Ltd. As on 31stAshadh, 2062 is given bellows: Debit balance Rs. Credit balance Rs. Land and building 10,00,000 Issued & paid up capital

9,000 share @ 100 each 9,00,000

Equipment 4,30,000 Preliminary expenses 20,000 10% preference share capital 1, 00, 000 Calls in arrears 40,000 Reserve fund 60,000 Bank balance 20,000 P/L A/c at the beginning 50,000 10% investment 70,000 Sales 15,00,000 Debtors 80,000 10% debenture 5,00,000 Goodwill 40,000 Creditors 2,00,000 Interim divided 40,000 Purchase 12,00,000 Advertisement 40,000 Audit fee 15,000 Wages & salary 1,00,000 Prepaid insurance 25,000 Initial inventory 1,00,000

General expenses 30,000 Debenture interest 50,000 Preference divided paid 10,000 33,10,000 33,10,000

Additional information: i. Closing stock at cost price Rs.3,00,000; market value Rs. 3,10,000; ii. Provide depreciation on equipment Rs.30,000 iii. Preliminary expenses written off (fully) iv. Reserve fund to be increased by Rs. 40,000 v. Directors proposed 10% final dividend on paid up capital vi. Prepaid insurance expired to the extent of Rs.20,000 vii. Goods destroyed by fire Rs.20,000 out of which Rs.15,000 was admitted by

insurance company Required: Company final account as an 31stAshadh, 2062.

10 .Koshi Trading company provides you the following trial balance as on 31stAshadh, 2069 Particulars Dr. Amt Particulars Cr. Amt Opening stock 60,000 Sales 2,40,000 Purchases 1,20,000 10% preference capital 30,000 Cash 30,000 General reserve 12,000 Wages & salary 72,00 Share premium 18,000 Goodwill 30,000 Equity capital 1,80,000 Investments 54,000 Notes payable 18,000 Calls-in-arrears 6,000 Profit & loss account 24,000 Account receivable 30,000 Miscellaneous income 3000 Insurance 12000 Marketing expenses 24,000 Machinery 36,000 Trademark written off 12,000 Return inward 24,000 Rent and rates 49,800 Salary and wages 30000 5,25,000 5,25,000

Additional information: a) Stock at end Rs.20,000. b) Material costing 12,000 was destroyed. .c) Depreciation on fixed assets by 20% d) Directors proposed a divided of 10% on paid up capital. e) Unpaid insurance Rs.5,400 Required:Trading account ,Profit & loss account, Profit & loss appropriation account and Balance sheet

11. The net profit as per cost account was Rs. 275,000 on reconciliation the following differences were noticed: a) Work overhead under recovered in cost account Rs. 7000 and in financial

accounts Rs6000 b) Interest received in financial account Rs. 2000

c) Opening stock over valued in financial account Rs. 7,000 d) A loss of Rs. 1,000 on sale of machinery was not shown in cost account. Required: Reconciliation between financial and cost account. 12. Prepare cost reconciliation statement from the following information: a) Net income as per financial a/c Rs. 15,000. b) Interest on debentures Rs1500 shown in FA only. c) Depreciation on cost account Rs. 3,500 while shown in financial account Rs.

3,000 d) Closing stock in cost a/c Rs. 9,000 while in financial a/c Rs. 9,500. e) Loss due to obsolesces shown only in FA Rs. 5,000 f) Factory overhead under recovered in financial a/c Rs. 2,000. 13. The net profit as per financial account was Rs. 42,000 on reconciliation the

following differences were noticed: a) Selling overhead under recovered in cost account Rs. 6000 b) Interest charged in financial account Rs. 4000 c) Opening stock over valued in financial account Rs. 10,000 d) A profit of Rs. 5,000 on sale of fixed assets was shown in financial

account. e) Administrative overhead under charged in cost account Rs.44000 Required: Reconciliation between financial and cost account. 14. Prepare cost reconciliation statement from the following information: a) Net loss as per cost a/c Rs. 30,000. b) Income tax provided Rs. 6,000 only in financial accounts. c) Depreciation over charged in cost account Rs 5000 d) Opening stock under recovered in financial accounts Rs500. e) Preliminary expenses written off shown in financial accounts Rs. 2,000 f) Factory overhead overcast in cost a/c Rs. 1,000. 15. Prepare cost reconciliation statement from the following information: a) Net loss as per financial a/c Rs. 50,000. b) Income tax provided Rs. 5,000 only in financial accounts. c) Depreciation on cost account Rs. 12,000 while shown in financial account Rs.

14,000 d) Opening stock in cost a/c Rs. 10,000 while in financial a/c Rs. 8,000. e) Preliminary expenses written off shown in financial accounts Rs. 2,000 f) Factory overhead overcast in cost a/c Rs. 1,000.

D.A.V. SUSHIL KEDIA VISHWA BHARATI

SECONDARY SCHOOL

Dashain Home Assignment

Class- XII SUBJECT: BOTANY

1. Answer in very short. a) Define variation. b) Who rediscovered Mendelism? c) Name the scientist who had proved DNA as genetic material. d) Define complementary genes. e) What is epistasis? f) What is mesophyll tissue? g) What do you understand by tunica and corpus? h) Define heart wood and sap wood. i) Name two plants having radial vascular bundles. j) Write one difference between exosmosis and endosmosis.

2. Answer in short.

a) Explain the internal structure of monocot stem. b) Write differences between dorsiventral and isobilateral leaf. c) Explain the Watson and Crick model of DNA. d) Explain transfer RNA e) Differentiate between Codominance and incomplete dominance.

3. Answer in detail. a) Describe the structure and mechanism of closing and opening of stomata.

Mention the factors affecting transpiration. b) Explain secondary growth in dicot stem. c) Explain the experiment to demonstrate unequal transpiration rate in

dorsiventral leaf. d) Explain the two types of mutation. Write about polyploidy and its significance.

XII_Mgmt

1

BUSINESS MATH

1. Find the values of x and y if 5x+(3x-y)i=10+2i. 2. If 𝑥𝑥 − 𝑖𝑖𝑖𝑖 = 2−3𝑖𝑖

2+3𝑖𝑖, prove that x2+y2=1.

3. In a town of 50000 population, 28000 read Gorkhapatra and 5000 read Rising Nepal and 1000 read both. What percentage read neither Gorkhapatra nor Rising Nepal?

4. Let A=1,2,3. find the reation in A×A satisfying the condition a. x>y b. x+y>1

5. Insert 4 A.M.'s between 8 and 43. 6. Find sum to n terms, the following series: 5+55+555+… 7. In how many ways can the letters of the following words be arranged

a. MATHEMATICS b. KATHMANDU c. LOGARITHM

8. Find the value of x if 44C20 x20=44C21 x21. 9. Find the maximum or minimum value as well as point of inflection of the given function x3-3x2+16x+3. 10. Reduce the equation slope intercept and double intercept form of 6x+5y=18. Find its slope, x-intercept

and y-intercept. 11. Find the equation of the locus of a point, which moves such that its distance from (-1,3) is always 8.

12. Without expanding the determinants, prove that 1 𝑥𝑥 𝑥𝑥2

1 𝑖𝑖 𝑖𝑖2

1 𝑧𝑧 𝑧𝑧2 =

1 𝑥𝑥 𝑖𝑖𝑧𝑧1 𝑖𝑖 𝑧𝑧𝑥𝑥1 𝑧𝑧 𝑥𝑥𝑖𝑖

.

13. prove that

a. 𝑥𝑥 𝑖𝑖 𝑧𝑧𝑥𝑥2 𝑖𝑖2 𝑧𝑧2

𝑖𝑖𝑧𝑧 𝑧𝑧𝑥𝑥 𝑥𝑥𝑖𝑖 = (𝑥𝑥 − 𝑖𝑖)(𝑖𝑖 − 𝑧𝑧)(𝑧𝑧 − 𝑥𝑥)(𝑖𝑖𝑧𝑧 + 𝑧𝑧𝑥𝑥 + 𝑥𝑥𝑖𝑖)

b. 𝑏𝑏 + 𝑐𝑐 𝑎𝑎 𝑏𝑏𝑐𝑐 + 𝑎𝑎 𝑐𝑐 𝑎𝑎𝑎𝑎 + 𝑏𝑏 𝑏𝑏 𝑐𝑐

= (𝑎𝑎 + 𝑏𝑏 + 𝑐𝑐)(𝑥𝑥 − 𝑐𝑐)2

c. 𝑥𝑥2 + 1 𝑥𝑥𝑖𝑖 𝑥𝑥𝑧𝑧𝑥𝑥𝑖𝑖 𝑖𝑖2 + 1 𝑖𝑖𝑧𝑧𝑥𝑥𝑧𝑧 𝑖𝑖𝑧𝑧 𝑧𝑧2 + 1

= 1 + 𝑥𝑥2 + 𝑖𝑖2 + 𝑧𝑧2

14. Use Cramer's rule to find x, y and z a. 2x-3y-z=4

x-2y-z=1 x-y+2z=9

b. 6y+6z=-1 8x+6z=-1 4x+9y=8

c. 2𝑥𝑥3

+ 𝑖𝑖 = 16

𝑥𝑥 +𝑖𝑖4

= 14 14. If fixed cost of 20 articles in 500 and variable cost for each article is 40. Find the total cost function?

Also find the total cost of 90 articles. 15. Find the differential coefficient using first principle: a. 1

2𝑥𝑥+3

b. 2x2+3x+1 c. 𝑎𝑎𝑥𝑥+𝑏𝑏

𝑥𝑥

d. 1√𝑥𝑥

e. 𝑥𝑥 + √𝑥𝑥 16. A profit-making company wants to launch a new product. It observes that the fixed cost of the new

product is Rs. 100000 and the variable cost per unit is Rs. 1000. The revenue function for the sale of x units is given by 200x+500x2. Find,

a. cost function b. profit function

XII_Mgmt

2

c. break even function d. cost at the production level 50 e. revenue at production level 50 f. profit at production level 50 17. Evaluate a. 𝑙𝑙𝑖𝑖𝑙𝑙

𝑥𝑥 → 0√𝑥𝑥+4−2

𝑥𝑥

b. 𝑙𝑙𝑖𝑖𝑙𝑙𝑥𝑥 → 0

√1+2𝑥𝑥−√1−2𝑥𝑥𝑥𝑥

c. 𝑙𝑙𝑖𝑖𝑙𝑙𝑥𝑥 → 4

𝑥𝑥2−16√3𝑥𝑥+4−4

d. 𝑙𝑙𝑖𝑖𝑙𝑙𝑥𝑥 → ∞√𝑥𝑥√𝑥𝑥 + 1 − √𝑥𝑥

18. Discuss the continuity or discontinuity of:𝑓𝑓(𝑥𝑥) = 2𝑥𝑥 + 2 𝑓𝑓𝑓𝑓𝑓𝑓 𝑥𝑥 ≤ 53𝑥𝑥 + 12 𝑓𝑓𝑓𝑓𝑓𝑓 𝑥𝑥 > 5 𝑎𝑎𝑎𝑎 𝑥𝑥 = 5

19. A function f(x) is defined as; 𝑓𝑓(𝑥𝑥) = 𝑥𝑥2−2𝑥𝑥𝑥𝑥−2

, 𝑥𝑥 ≠ 2𝑘𝑘 , 𝑥𝑥 = 2

. Find the value of k so that the function f(x) is

continuous at x=2. For Failures

Group A [3×10=30] 1. Rewrite without modulus sign: |3x+5|<4. 2. If 𝑎𝑎 + 𝑖𝑖𝑏𝑏 = 1+𝑖𝑖𝑥𝑥

1−𝑖𝑖𝑥𝑥, prove that a2+b2=1.

3. In a survey, it was found that 87% of the people like Dashain festival and 78% like Tihar festival. Find what percent of the people like both festivals.

4. Let A=1,2,3. Find the realtion in A×A satisfying the conditions a. y=2x b. x+y<4

5. If A=-2,-1,0,1,2 and f:A→R is defined by f(x)=x2+1, find the range of f. 6. The sum of the three umbers in A.P is 15. The sum of their square is 83, find out the numbers. 7. Sum the series to n terms: 7+77+777+... 8. Find the arrangement that can be made out of the letters of the word 'COMMERCE' 9. In how many ways can six players be selected from 7 men and 5 ladies consisting of four men and 2

ladies?

10. If 𝐴𝐴 = 1 −2 3−1 2 1 𝑎𝑎𝑎𝑎𝑎𝑎 𝐵𝐵 =

2 33 11 2

, find the matrix AB-3I where I is the unit matrix of order 2.

Group B [5×2=10]

11. Prove that: 1 + 𝑎𝑎 1 1

1 1 + 𝑎𝑎 11 1 1 + 𝑎𝑎

= 𝑎𝑎2(𝑎𝑎 + 3)

12. Solve the following equations using Cramer's rule x-2y+8z=10 2x+3y-2z=1 -x-2y+4z=13

Group A [3×10=30]

1. Rewrite without modulus sign: |2x-5|≤3. 2. If x-iy= 2−3𝑖𝑖

2+3𝑖𝑖, prove that x2+y2=1.

3. 20 students play football and 16 studetns play hockey, it is foudn that 10 students play both games. Find the number of students playing at least one game.

4. Let A=1,2,3,4 and f:x→y is a function defined by f(x)=2x+1, x∈X, find the range of f. 5. Let A=1,2,3. Find the relation in A×A satisfying the conditions.

a. x>y b. x+y=1

6. Divide 45 into 3 parts which are in A.P. such that the product of the last two is 300. 7. Sum the series to n terms: 4+44+444+... 8. Find the arrangement that can be made out of the letters of the word 'ACCOUNTANT' 9. A person has 15 friends of whom 10 are relatives. In how many ways can he/she invite 9 guests so

that 5 of them may be relatives? 10. If 𝐴𝐴 = 1 2

3 1, show that A2-2A-5I=O where I and O are 2×2 identity and null matrices.

XII_Mgmt

3

Group B [5×2=10]

11. Prove that: 1 + 𝑎𝑎1 𝑎𝑎2 𝑎𝑎3𝑎𝑎1 1 + 𝑎𝑎2 𝑎𝑎3𝑎𝑎2 𝑎𝑎2 1 + 𝑎𝑎3

= 1 + 𝑎𝑎1 + 𝑎𝑎2 + 𝑎𝑎3

12. Solve the following equations using Cramer's rule 9y-5x=3 x+z=1 z+2y=2

Group A [3×10=30]

1. Rewrite without using absolute value sign |3-5x|≤2 2. If 𝐴𝐴 = −1,− 1

2, 0, 1

2, 1, 3

2, 2 and f:A→R be a function defined by f(x)=2x+1, find the range of f.

3. Find teh sum of following AS: 5+7+9+11+...+25 4. Inser 3 GM's between 2 1

4 𝑎𝑎𝑎𝑎𝑎𝑎 4

9.

5. In how many ways can the letters of the word 'COMMERCE' be arranged? 6. If -10<5x+10<5 prove that -4<x<-1 7. Let A=1,2,3, find the relation in A×A satsifying the condition x+y<4 where x,y∈A. 8. Find the sum of series: 49+44+39+...+17 terms 9. The sum of a sereis in G.P. whose common ratio is 3 and 728 and the last term is 486, find the first

term. 10. In an exam paper on business mathematics 18 question are set. In how many different ways can you

select 15 questions to answer? Group B [5×2=10]

11. Prove that: 𝑎𝑎 − 𝑏𝑏 − 𝑐𝑐 2𝑎𝑎 2𝑎𝑎

2𝑏𝑏 𝑏𝑏 − 𝑐𝑐 − 𝑎𝑎 2𝑏𝑏2𝑐𝑐 2𝑐𝑐 𝑐𝑐 − 𝑎𝑎 − 𝑏𝑏

= (𝑎𝑎 + 𝑏𝑏 + 𝑐𝑐)3

12. Solve the following equations using Cramer's rule x+y=8 y+z=4 x+z=6

THE END

HAPPY DASHAIN AND TIHAR

DASHAIN HOME ASSIGNMENT XII

Group A (Compulsory for all students) 1. Write the structure and IUPAC names of all isomers a) C3H7Br b) C4H9Br c) C3H8O d) C4H10O 2. Write the principle reaction involved in the laboratory preparation of a) chloroform b) ethoxyethane 3. Write one example of each of

a) Dehydrohalogenation b) Wurtz reaction c) Wurtz Fittig reaction d) Sandmeyer reaction e) Williamson's ether synthesis 4. Give reason for the following: a) the boilong point of 1-bromobutane is higher than 1-bromo-2-methylpropane.

b) Chloroform is stored in dark coloured air tight bottles by adding ethanol. c) Ether bottles are provided with iron wire. d) Ethanol is soluble in water but chloroethane is not.

5. Carryout following conversions; a) Ethanol to propanoic acid b) 1-chloropropane to 2- chloropropane and vice versa c) Methoxymethane to ethoxyethane

6. Draw the resonating structures of a) Chlorobenzene b) Phenol c) Phenoxide ion 7. How does phenol react with a) Pthalic anhydride b) aq.Br2

8. Starting from phenol, how do you prepare chlorobenzene? 9. Give a chemical reaction to distinguish ethanol from phenol. 10. Define the terms; a) end point b) titration error c) secondary standard solution d) degree of ionization 11. Explain why methyl orange is suitable indicator for the titration between HCl and NH4OH? 12. x gram of Na2CO3.10H2O reacts with 150 ml seminormal HCl solution. Find the value of x. 13. 200 ml of 0.1 M H2SO4 is mixed with 150 ml of 0.1 M NaOH. Find the pH of the resulting solution. 14. 3 gm of trivalent metal was completely dissoved in 750 ml of 1 N HCl. The resisdual solution further

required 1000 ml of N/2 NaOH for complete neutralization. Find the atomic mass of metal. 15. x gram magnesium reacts with 50 ml 1N (f=0.95) acid. Calculate the weight of x. 16. What happens when HCl gas is passed through saturated solution of NaCl? 17. The solubility product of Ca(OH)2 at 25°C is 4.42×10-5. A 500ml of saturated solution of Ca(OH)2 is mixed

with an equal volume of 0.4 NaOH. How much Ca(OH)2 is precipitated? 18. Calculate the degree of ionization of HCN having concentration of 0.01 M (Ka of HCN= 4.8×10-10). Also

calculate H+ ions concentration and pH. 19. Draw well labelled diagram of (a) Blast furnace (b) vertical retort process 20. What happens when a) Iron is treated with conc. HNO3? (b) Zinc is heated with NaOH? c) Zinc oxide is heated with cobalt nitrate. d) Zinc sulphate is treated with barium sulphide. Group:B (Extra only for first-term failed students) 1. How do you prepare chloroethane from (a) ethane (b) ethene (c) ethanol 2. What is Nucleophilic substitution reaction? What happens when iodoethane is treated with;

a) alc. KCN b) alc. AgCN c) alc. AgNO2 d) aq. KOH e) alc. KOH f) sodium ethoxide 3. Identify A and B

OH NaOH ACH3I Ba)

O CH3conc.HI A+Bb)

CH3CH2 A+Bc) CH3O conc.HI

CH3CH2CH2 Bd) Br alc.KOH A HBr

FeCl3Cl2 A CH3-CI, NaBe)

dry ether,

4. Draw well labelled diagram for the preparation of a) chloroform b) ethoxyethane 5. What is the use of iodoform test? Which one of the following pair of compounds gives iodoform test?

Write the reaction. a) Ethanol and methanol b) propanone and propanal c) Propan-1-ol and propan-2-ol d) Methanal and ethanal

6. How does chloroform react with a) Silver powder b) aq. KOH c) conc. HNO3 d) propanone e) primary amine in presence of KOH f) phenol in presence of KOH

7. State and explain Huckel's rule. 8. Write five electrophilic substitution reactions of benzene. 9. How do you distinguish 1°, 2° and 3° alcohol by Victor Meyer test? 10. Define normality and molarity. How are they related? 11. How suitable indicators are selected in acid base titration? 12. State and explain Ostwald dilution law. 13. Write the postulates of Arrhenius theory of ionisation. 14. What is common ion effect? Explain its application in salt analysis. 15. How is zinc extracted from sulphide ore? 16. Write the chemistry of

a) white vitriol b) zinc oxide. 17. Explain Bessemer process and Open Hearth process for manufacture of steel. 18. Calculate the normality and molarity of 5% NaOH solution. 19. How many moles of H2SO4 are required to neutralize 4 litres of 2N NaOH. 20. Calculate the strength in gram/litre of NaOH whose pH value is 12. 21. 5 g of diacidic base is completely neutralized by 50 ml of 2N HCl. Find the molecular weight of base. 22. Calculate the hydroxide ion concentration of a solution having pH 6.3. 23. Calculate the pH of 0.1 M acetic acid solution having Ka 1.8×105. 24. The solubility product of CaCO3 is 9.3×10-8. Calculate its solubility in gm/litre. 25. The solubility of AgCl in water at 25°C is 1.43×10-3gl-1. Calculate its solubility in 0.5 M KCl. (Ag=108).

Economics

Vacation Home Assignment

Class XII

Use a loose sheet (A4 size paper) separately for each question:

1. With the help of internet, search an article on hyperinflation in Venezuela and write a

paragraph presenting your comment on it.

2. Visit https://www.nrb.org.np/ and click on current macroeconomic & financial situation

(more…) and present a write up on present inflation situation of Nepal.

3. Get a cutting of an interesting business/economic article along with writing your comment on

the article.

4. Visit your nearby grocery shops and prepare a list of 15 major items along with their prices of

two time period--during Dashain and after one week of Dashain. Write your comment in a

paragraph comparing those prices.

5. Visit your nearby shop and prepare an interview of the shopkeeper talking on various aspects

of economic and business issues. Stick a photograph of the shopkeeper.

6. Write down a 400 words article on any one issue, 'Sexual violence in Nepal' or 'Monetary

policy of Nepal' or 'Macroeconomic performance of Nepal.'

7. Explain about inflation including 'Demand-pull inflation' and 'Cost-push inflation.'

DAVSKVB Secondary School Jawalakhel

Dashain Home Assignment Class: XII Subject: Major English

1. Write a critical appreciation to the poem "The Tiger".

2. Write short notes on:

a) Metaphor b) Simile c) Lyric

3. Sketch the character of "Zidima" and "Don Lollo". (The Jar)

XII_Science

1

(SUBJECT: MATHEMATICS) 1. Find, from first principle the derivative of

a. ax b. 2𝑥𝑥2 c. xx d. log secx2 e. log cos-1x f. log sin 𝑥𝑥

𝑎𝑎

2. If 𝑓𝑓(𝑥𝑥) = 3 + 2𝑥𝑥 𝑓𝑓𝑓𝑓𝑓𝑓 − 3

2≤ 𝑥𝑥 ≤ 0

3 − 2𝑥𝑥 𝑓𝑓𝑓𝑓𝑓𝑓 0 < 𝑥𝑥 < 32

. Show that f(x) is continuous at x=0 but f'(0) doesn't exist.

3. If xy=ex-y prove that 𝑑𝑑𝑑𝑑𝑑𝑑𝑥𝑥

= (log 𝑥𝑥)(log 𝑒𝑒𝑥𝑥)2

4. Find 𝑑𝑑𝑑𝑑𝑑𝑑𝑥𝑥

when xmyn=(x+y)m+n. 5. Find the derivative of (tanx)cotx+(cotx)tanx. 6. Differentiate 2 tanh−1 tan 𝑥𝑥

2 w.r.t. x

7. Differentiate 2 tan−1 tan 𝑥𝑥2 w.r.t. x

8. Differentiate (cosh 𝑥𝑥)sinh −1 𝑥𝑥 w.r.t. x 9. Find the approximate increase in the volume of a sphere when its radius increases from 2 to 2.1. Find

also actual increase and compare the two values. 10. Show that the equation of the tangent to the curve 𝑥𝑥

2

𝑎𝑎2 + 𝑑𝑑2

𝑏𝑏2 = 1 at the point (a,b) is 𝑥𝑥𝑎𝑎

+ 𝑑𝑑𝑏𝑏

= 2. 11. Find the angle of intersection of the curves 2y=x2 and 2x2y=1. 12. At what angle does the curve y(1+x)=x cut the x-axis? 13. find the point on the circle x2+y2=16 at which the tangent are parallel to the a. x-axis b. y-axis 14. Find the value of 𝑙𝑙𝑙𝑙𝑙𝑙𝑥𝑥 → 0

log tan 𝑥𝑥log 𝑥𝑥

by using L Hospital's rule. 15. Using L Hospital's rule, evaluate

a. 𝑙𝑙𝑙𝑙𝑙𝑙𝑥𝑥 → 0

tan 𝑥𝑥−𝑥𝑥𝑥𝑥−sin 𝑥𝑥

b. 𝑙𝑙𝑙𝑙𝑙𝑙𝑥𝑥 → 0

𝑥𝑥−sin 𝑥𝑥 cos 𝑥𝑥𝑥𝑥3

c. 𝑙𝑙𝑙𝑙𝑙𝑙𝑥𝑥 → 𝜋𝜋

2

sec 7𝑥𝑥sec 5𝑥𝑥

d. 𝑙𝑙𝑙𝑙𝑙𝑙𝑥𝑥 → 𝜋𝜋

2

tan 5𝑥𝑥tan 𝑥𝑥

16. State Rolle's theorm. Verify it for the function f(x)=sin2x in − 𝜋𝜋2

, 𝜋𝜋2

17. State Lagrange's mean value theorem. Use it find the point on the curve f(x)=x(x-1), the tangent at which is parallel to the chord joining the points (1,1) and (4,8).

18. Shade the feasible region under the constraints. 4x-3y≤3, 2x+y≤10, x≥0, y≥0 19. Solve by Simplex method to maximize F=6x-9y, subject to 2x-3y≤6, x+y≤20, x≥0, y≥0. 20. Determine the maximum and minimum value of the function

f(x,y)=16x-2y+40 for the feasible region defined by 3x+4y≤24 0≤y≤4 0≤x≤7

21. Using Simplex metho, solve the following LP probelm Max Z=3x1+5x2 subject to 3x2+2x2≤18 x1≤4 x2≤6 x1,x2≥0

22. Find the optimal solution ofthe following LP problem a. Min Z=x+4y subject to

x+2y≥8 3x+2y≥12 x,y≥0

23. How many number of 4 different less than 6000 can be made from the integers 0,2,3,5,7,8? 24. Derive the formula 𝑛𝑛 !

(𝑛𝑛−𝑓𝑓)!.

XII_Science

2

25. Describe the relation (n-1)! for n different objects arranged in circle. 26. Find the number of ways in which 4 men and 7 women can be seated in a row having 7 seats so that

the men and women must altnerate. 27. In how many ways can the letters of the word ENGLISH be arranged? How many of these begin with

E? How many of these begin with E but do not end with H. 28. Derive the relation:

a. C(n,r)=C(n,n-r) b. C(n,r-1) + C(n,r)=C(n+1,r)

29. From 6 men and 4 women a committee of 5 is to be formed. In how many ways can this be done so as to include at least one lady?

30. Solve C(n+2,4)=6C(n,2) 31. Prove Binomial theorem for (a+x)n. 32. Show that the middle term of the expansion of 𝑥𝑥 − 1

𝑥𝑥

2𝑛𝑛 𝑙𝑙𝑖𝑖 1.3.5 ……(2𝑛𝑛−1)

𝑛𝑛 !(−2)𝑛𝑛 .

33. In the expansion of (1+x)2n+1, the coefficients of xr and xr+1 are equal. Find r. 34. If (1+x)n=C0+C1x+C2x2+.......+Cnxn

a. C0+2C1+3C2+.......+(n+1)Cn=(n+2)2n-1 b. C0Cn+C1Cn-1+......+CnC0=

2𝑛𝑛!𝑛𝑛!𝑛𝑛 !

c. C02+C1

2+C22+.......Cn

2= 2𝑛𝑛 !(𝑛𝑛 !)2

d. C0C2+C1C3+C2C4+......+Cn-2Cn=2𝑛𝑛 !

(𝑛𝑛−2)!(𝑛𝑛+2)!

35. Show that a. 1

2!+ 2

3!+ 3

4!+ ⋯ = 1

b. 1 + 1+22!

+ 1+2+33!

+ 1+2+3+44!

+ ⋯ 3𝑒𝑒2

c. 1

1!+ 1+3

2!+ 1+3+5

3!+ 1+3+5+7

4!+ ⋯ = 2𝑒𝑒

For Failure Students

Group A [2×5=10] 1. In how many ways can the letters of the word 'MISSISSIPPI' be arranged? 2. A committee is to be chosen from 12 men and 8 women and is to consist of 3 men and 2 women. How

many committees can be formed? 3. Find the derivative of 2 tanh−1 tan 𝑥𝑥

2.

4. Find the points on the curve where the tangent parallel to the x-axis y=x3-3x2+1.

5. Solve the linear equation by graphical method: 3x+4y≤24 Group B [4×3=12] 6. In how many ways can the letters of the word 'LOGIC' be arranged so that

a. the vowels may occupy odd position? b. no two vowels are together?

7. Find from definition the derivative of ecosx. 8. Determine the maximum value by graphical method F(x,y)=10x+15y

subject to x+2y≤20 x+y≤16 x,y≥0

Group C [3×6=18] 9. In a group of 10 students, 6 are boys, In how many ways can 4 student be selected for mathematical

competition so as to include a. exactly two boys b. atleast two boys c. at most two girls

10. State and verify mean value theorem for f(x)=3x2-1 in [1,2]. 11. Use the simplex method to find the optimal solutions of the following LP problem Max Z=9x1+x2 subject

to 2x1+x2≤8 4x1+3x2≤18 x1,x2≥0

Group A [2×5=10] 12. Find the number of ways in which a student can select 5 courses out of 8 courses. If 3 courses are

compulsory, in how many ways can the selection be made? 13. How many numbers of 6 digits can be formed with the digits 2,3,2,0,3,3?

XII_Science

3

14. Find the derivative of (tanx)logx. 15. Find the points on the curve where the tangent parallel to the x-axis

y=2x-x2. 16. Solve graphically: 3x-5y≥15

Group B [4×3=12] 17. From 6 gentlemen and 4 ladies, a committee of 5 is to be formed. In how many ways can this be done

so as to include atleast one lady? 18. Find from definition the derivative of log(secx). 19. Determine the maximum value by graphical method F(x,y)=7x+5y

subject to x+2y≤6 4x+3y≤6 x,y≥0 Group C [3×6=18]

20. Define nCr and nPr. In how many ways can the letters of the word 'MONDAY' be arranged? How many of these arrangements do not begin with M? How many begin with M and do not end with Y?

21. State and verify Rolle's theorem for f(x)=x(x-3)2 for x∈ [1,2]. 22. Use the simplex method to find the optimal solutions of the following LP problem Max Z=7x1+5x2

subject to x1+2x2≤6 4x1+3x2≤12 x1,x2≥0

THE END

HAPPY DASHAIN AND TIHAR

DASHAIN HOME ASSIGNMENT XII

Group A (Compulsory for all students) 1. Explain the theory of series and parallel combination of resistance in an electric circuit and derive equivalent

resistances. 2. The potential difference across the terminals of a battery is 8.4V, when there is a current of 1.5 A. in the battery from

negative to positive terminal. When the current is 3.5A in the reverse direction, the p.d. becomes 9.4 V. (i) What is the internal resistance of the battery (ii) what is the emf of the battery?

3. An electron having 450 ev of energy moves at right angles to a uniform magnetic field of flux density 1.5×10-3T. Find

the radius of the circular orbit.

×= ckg101.8

me 11

4. The maximum energy of the photoelectrons emitted from a metal plate is 1.2eV. If the threshold wavelength is 2.48×10-9m, calculate the wavelength of the incident light. [h=6.62×10-34Js, c=3×108m/s]

5. An α-particle makes a full rotation in a circle of radius 1 meter in 2 sec. Calculate the value of magnetic field induction at the centrer of the circle. (µ0=4π×10-7Hm-1)

6. A galvanometer can bear maximum current of 25 mA and a resistance 5Ω. Find suitable resistance to convert it into (i) a voltmeter of range 0-2 v (ii) an ammeter of range 0-10 Amp.

7. If the coil of a moving coil galvanometer having 10 turns and of resistance 4Ω is removed and is replaced by a second coil having 100 turns and of rresistance 160Ω, calculate a) The factor by which the current sensitivity change b) The factor by which the voltage sensitivity change

8. State and explain Biot-savart law. Use it to find the magnetic field intensity at any point due to a long straight conductor.

9. Why do we talk of the ratiome , and not simply charge (e) or mass (m) of a particle alone?

10. Transverse wave on a string have speed 8m/s, amplitude 0.07 m and wavelength 0.32 m. The wave travels in x-direction and at t=0 and x=0 end of the string has its maximum upward displacement. a) Find the frequency, period and wave number of these waves b) Write a wave function which describes wave c) Find the transverse displacement of a particle at x=0.36m at time t=0.15.

Group B (For Failure and Absent Students) 11. Discuss JJ Thomson experiement to determine the speciic charge of an electron. 12. State Einstein's photoelectric equation. Describe Millikan's experiment to verify it. 13. Describe Millikan's oil drop experiment to determine the charge of an electron. 14. What is a shunt? Explain its use to convert a galvanometer into a voltmeter and an ammeter. 15. Write the Newton's formula for velocity of sound in air. Explain how Laplace modified it. 16. A stone dropped into a well splashed into the water. The splash is heard after 8.7 seconds. What is the depth of the

pond?[speed of sound in air=340ms-1, g=9.8ms-2] 17. At what temperature the velocity of sound in oxygen would be same as that in nitrogen at 10°C? The densities of

oxygen and nitrogen at NTP are in the ratio of 16:14. 18. An ammeter is always connected in series with load. Why? 19. Why do electrons acquire a steady drift velocity when a p.d. is applied? 20. A current is sent out through a helical coil spring. The spring contracted. Why? 21. Explain why soldiers are ordered to break steps while crossing a bridge? 22. The thunder of lightning is heard after some moment of the flash of light seen. Why? 23. Although the density of solid is high, the velocity of sound is greater in solids. Why? 24. Why sound made at a distance can be heard distinctly at night than in the day time? 25. Distinguish between a progressive wave and stationary wave. Obtain the conditions for nodes and antinode. 26. Stating Bohr's postulates, derive an expression for total energy of electron in nth orbit of hydrogen atom.

Dashain Assignment 2075

Class XII

Attempt All Questions:

Very short Questions

1. Define nutrition. 2. Nam the protein found in egg and food. 3. Mention chief source of vitamin A 4. What makes bones hard and strong? 5. Name the best source of phosphorous and calcium. 6. Name fat soluble vitamins. 7. Name the nutritions whose deficiencies causes the following diseases in man : a. anemia b.

pellagra. 8. Name the disease caused by deficiency of iron. 9. Why are carbohydrates more suitable for the prodction of energy in the body than the proteins

and fats? 10. What is our daily requirements of fat? 11. What is meant by essential amino acids? 12. Write the name of disease caused by deficiency of vitamin A and D in diet. 13. What is malnutrition? 14. What is marasmus? 15. What do you mean by PEM? what is it due to? 16. Write down the dental formula of man. 17. Give the location of sphincter present between the small and large intestine. 18. Name the enzyme that crudle milk. 19. Name the process that breaks the large fat droplets into smaller ones. 20. What is the largest gland in the body? 21. Name one function of saliva other than digestion. 22. Name the membrane which encloses the lungs. 23. What is the place where actual exchange of gases takes place? 24. Name the muscles involved in breathing. 25. What is the role of haemoglobin in respiration. 26. In what form is oxygen is transported? 27. Where is the haemoglobin found? 28. What is breathing rate in man? 29. Name the instrument to measure the amount of air exchanged during breathing. 30. Name the types of respiration. 31. Name the tissue in human being in which anaerobic respiration takes place. 32. Breathing through nose is said to be healthier than breathing mouth, why?

33. How is collapse of lung prevented? 34. What is the function of epiglottis? 35. Name the thoracic muscles involving in inspiration process of man. 36. What is diaphragm? 37. Which blood vessel carries blood from intestine to the liver? 38. Name the nerve that slows down the heart beat. 39. How the heart is not fatigue even though it beats non stop? 40. What is meant by double circulation? Give its advantages. 41. What is the function of valves in heart? 42. What is Rh factor? 43. Why is it necessary to test blood group of a patient before blood transfusion? 44. Why origin of heart beat is called myogenic? 45. Name the valve which guards the inferior venacava. 46. How many flaps are there in mitral valve? 47. Which artery supplies blood to the heart's wall? 48. Define heart beat. 49. What is pulmonary circulation? 50. What is portal system? 51. Define arterial systol? 52. What do you mean by pacemaker? 53. Where do nephrons discharge urine? 54. What is deamination? 55. Which pigment gives colour to urine? 56. What makes urine bad smell? 57. Name the artery that feeds blood into the kidney. 58. What is ultrafiltration and Henle"s loop? 59. What is homeostasis? 60. Which hormone controls osmoregulation? 61. How is urea formed in liver? 62. How are nitrogenous wastes formed? 63. Name the layer which protects the kidney? 64. What are the three steps of formation of urine? 65. Why is afferent arteriole wider than the efferent arteriole? 66. What are vasa recta? 67. How is urochrome formed? 68. What is deamination? 69. What is detoxification? 70. What are the structures of lens in human eye? 71. Through which aperture light enters the eye. 72. Name the two chambers of eyeball. 73. Which muscle control the size of pupil? 74. Which part of retina has only cones?

75. What is the cause of nyctalopia? 76. Where is the eyeball located? 77. Name the photoreceptor cell in the human eye. 78. Name the pigments present in rods and cones.

Short questions:

a. Draw well labelled diagram of external and internal structure of human heart. b. show the sagital section of human brain with well labelled diagram. c. clearly draw the T.S. of human kidney and labelled them. d. Draw the labelled figure of Nephron. e. Show different arteries and veins in human being with clear diagram.

HAPPY DASHAIN, TIHAR AND CHHATH