CPT Mock Test – 4th Test Booklet No. – 110018 Date: - 25.10.2015 Duration : 2 Hours Total Marks : 100 (1) While preparing a Bank Reconciliation Statement taking the balance as per Cash Book as the starting point, Debit balance of Rs. 112 brought forward as credit balance of Rs. 121 is: (a) Rs. 112 to be Added (b) Rs. 121 to be Added (c) Rs. 233 to be Added (d) Rs. 112 to be Subtracted Ans. c Explanation: Cash Book + ? Add: + 233 Pass Book + 233 (2) While preparing a Bank Reconciliation Statement taking the balance as per Cash Book as the starting point, an under cast of deposit column in Pass Book is: (a) Added (b) Subtracted (c) not required to be adjusted (d) none of these Ans. b Explanation: Cash Book Less: (3) + X sold goods to Y on 1st Jan for Rs. 1,50,000. Y immediately accepted a three months bill. On due date Y requested that the bill be renewed for a fresh period of two months. X agrees provided interest at 9% p.a was paid immediately is cash. What will be the amount of interest in the books of X? (a) Rs. 2,000 (b) Rs. 2,500 (c) Rs. 2,250 (d) Rs. 2,800 Ans. c Explanation: Interest = 150000 x 9% x 2 12 = 2250 (4) Which of the following statements is true? (a) A bill cannot be endorsed more than two times (b) A bill is drawn by purchaser (c) A bill contains an unconditional promise to pay (d) Noting charges are borne by the drawee in the event of dishonor of bill Ans. d Explanation: Noting charges are borne by drawee in the event of dishonor of bill. (5) Out of the following Bills, bill at sight is: (a) Pay B, Rs. 500 on presentment MITTAL COMMERCE CLASSES 1|Page (b) Pay B, Rs. 500 after sight (c) Pay B, Rs. 500 after 3 months (d) None of these Ans. a Explanation: Pay B, Rs.500 on Presentment (6) Which of the following assets is usually assumed to be not depreciating? (a) Land (b) Building (c) Plant (d) Furniture Ans. a Explanation: Generally the value of land keeps on increasing. (7) Consider the following data pertaining to M/s. E Ltd. who constructed a cinema house: Particular Rs. Cost of second hand furniture 90,000 Cost of repainting the furniture 10,000 Wages paid to employees for fixing the furniture 2,000 Fire insurance premium 1,000 The amount debited to Furniture Account is (a) Rs. 90,000 (b) Rs. 91,000 (c) Rs. 1,00,000 (d) Rs. 1,02,000 Ans. d Explanation: Cost = 90000 + 10000 + 2000 = Rs. 102000 Annual expenses of insurance premium are not added to the cost of Asset. (8) Purchase Price of Machine Rs. 1,50,000, Installation Charges Rs. 50,000, Residual Value Rs. 81,920, Useful life 4 years, the amount of depreciation under WDV Method for the third year will be: (a) Rs. 40,000 (b) Rs. 32,000 (c) Rs. 25,600 (d) Rs. 20,480 Ans. c Explanation: Original cost = 150000 + 50000 = Rs.200000 Rate of Dep. = [1 −4 √ 81920 200000 ] x 100 = 20% Dep. for 3rd year = (200000 − 20% − 20%) x 20% = Rs. 25600 (9) X Ltd. purchased a machine on 1st Jan for Rs. 2,40,000. Installation expenses were Rs. 20,000. Residual value after 5 years Rs. 10,000. On 1st July, expenses for repairs were incurred to the extent of Rs. 4,000. Depreciation is provided under straight line method. Depreciation rate = 10%. Depreciation for 4th year will be: MITTAL COMMERCE CLASSES 2|Page (a) Rs. 26,000 (b) Rs. 34,000 (c) Rs. 42,000 (d) Rs. 50,000 Ans. a Explanation: Original Cost = 240000 + 20000 = Rs.260000 Depreciation = 260000 x 10% = Rs.26000 (10) Date of purchase 1st July, Purchase Price of Machine Rs. 80,000, Installation Charges Rs. 20,000, Residual Value Rs. 40,960, Useful life 4 years, Accounting year is financial year. Date when Machine was put to use-1st Oct. Depreciation for the first year under WDV method will be: (a) Rs. 20,000 (b) Rs. 15,000 (c) Rs. 10,000 (d) Rs. None of these Ans. c Explanation: Original Cost = Rs.80000 + Rs.20000 = Rs.100000 Rate of Dep. = [1 −4 √ 40960 100000 ] x 100 = 20% Dep. For 1st year. = 100000 x 20% x (11) Which (a) (b) (c) (d) 6 12 = Rs.10000 of the following is not true: Bad Debts are not recorded in Joint Venture A/c, if only cash sales are made. Loss of Uninsured Goods is not recorded in Joint Venture A/c Discount charges on discounting a B/R drawn upon a customer are not recorded in Joint Venture A/c Cash Discount received from suppliers of goods is recorded in Joint Venture A/c Ans. c Explanation: Discount charges on discounting a B/R drawn upon a customer are recorded in Joint venture A/c (12) Closing Stock with X Rs. 26,400, with Y Rs. 60,000. In the books of X who is recording all joint venture transactions (a) Stock of Rs. 60,000 will be shown as closing credit balance in Y’s Account as ‘To Balance c/d’. (b) Stock of Rs. 26,400 will be shown as closing debit balance in Y’s Account as ‘By Balance c/d’. (c) Closing stock of Rs. 60,000 will not appear in Y’s Account. (d) None of these. Ans. a Explanation: Stock of Rs.60000 will be shown as closing credit balance in Y’s Account as “To Balance c/d”. (13) Loss of Joint Venture uninsured goods is (a) debited to Joint Venture Account MITTAL COMMERCE CLASSES 3|Page (b) credited to Joint Venture Account (c) debited to Profit & Loss Account (d) not recorded in Joint Venture Account Ans. d Explanation: Loss of uninsured goods is not recorded in Joint Venture A/c. (14) A and B enter into a joint venture to underwrite the shares of X Ltd. to the extent of 80%, X Ltd. make an equity issue of 1,00,000 equity shares of Rs. 10 each, 80% of the issue are subscribed by the public. The profit sharing ratio between A and B is 3:2. The balance shares not subscribed by the public are purchased by A and B in profit sharing ratio. How many shares to be purchased by the co-venturers. (a) 38,400 shares (b) 16,000 shares (c) 12,000 shares (d) 9,600 shares Ans. b Explanation: Subscribed by public = 100000 x 80% =80000 shares Remaining shares = 100000 – 80000 = 20000 Share taken by Co ventures = 20000 x 80% = 16000 (15) A and B enter into a joint venture sharing profit and losses in the ratio 3:2. A purchased goods costing Rs. 2,00,000. B sold 95% goods for Rs. 2,50,000. A is entitled to get 1% commission on purchase and B is entitled to get 5% commission on sales. Remaining goods are stolen. A’s share of profit on venture will be: (a) Rs. 15,300 (b) Rs. 21,300 (c) Rs. 18,900 (d) None Ans. b Explanation: Sale Price 250000 Less: Cost (200000) 50000 Less: Commission 200000 x 1% = (2000) 250000 x 5% = (12500) Net Profit = 35500 A’s Share in Profit = 35500 x 3/5 = Rs.21300 (16) Stock lost due to fire, theft, flood etc. is (a) Normal Loss (b) Abnormal Loss (c) Normal Gain (d) Abnormal Gain Ans. b Explanation: Loss of stock due to avoidable reasons, is abnormal loss. (17) Consignee does not pass any entry for - MITTAL COMMERCE CLASSES 4|Page (a) Goods sent on consignment (b) Profit/Loss on Consignment (c) Consignment Stock (d) All of the above Ans. d Explanation: Consignee does not pass such entries. (18) X sent out goods of the invoice value at Rs. 7,50,000 to Y at cost plus 25%. Consignor’s expenses Rs. 10,000. 1/10th of the goods were lost in transit. Insurance claim received Rs. 6,000. The net loss on account of abnormal loss to be t/f to P & L A/c is: (a) Rs. 55,000 (b) Rs. 51,000 (c) Rs. 61,000 (d) Rs. 54,000 Ans. a Explanation: Let cost price be 100 Invoice price = 100 + 25 = 125 COGS 750000 100 Rs .600000 125 Add: Consigner’s Exp. Rs. 10000 Total costs Rs. 610000 Lost goods = 610000 1 Rs .61000 10 Recovered value = Rs. 6000 Abnormal loss = 61000-6000 = Rs. 55000 (19) Opening Consignment Stock Rs. 20,000. Goods sent out on consignment Rs. 4,00,000. Consignor’s expenses 10,000. Consignee’s expenses Rs. 4,000. Cash sales Rs. 2,00,000. Credit Sales Rs. 2,20,000 Consignment stock Rs. 1,00,000. Ordinary commission payable to consignee Rs. 5,600. Del-credere commission 2%. The amount irrecoverable from customer Rs. 4,000. What will be the profit on consignment. (a) Rs. 76,000 (b) Rs. 80,000 (c) Rs. 72,000 (d) Rs. 86,000 Ans. c Explanation: Consignment A/c Dr. Cr. Particulars Rs. Particulars Rs. To Op. Stock 20000 By sales: To Goods sent Cash 200000 on consignment A/c 400000 Credit 220000 To Consignor’s Exp. 10000 By consignment Stock 100000 To Consignee’s Exp. 4000 To Commission 5600 To Del-Credere 8400 Commission MITTAL COMMERCE CLASSES 5|Page (420000 × 2%) To Net profit (B/F) 72000 520000 (20) 520000 2000 kg of apples are consigned to a wholesaler, the cost being Rs. 3 per kg plus Rs. 800 of freight, it is known that a loss of 15% is unavoidable. The cost per kg will be: (a) Rs. 2.50 (b) Rs. 4 (c) Rs. 1.70 (d) Rs. 1.50 Ans. b Explanation: Cost per unit (2000 3) 800 NIL Rs.4 2000 15% (21) The Indian Partnership Act came into force on: (a) 1.9.1872 (b) 1.7.1930 (c) 1.10.1930 (d) 1.10.1932 Ans. d Explanation: Name of the act is “The Indian Partnership Act, 1932”. (22) A partnership cannot be formed: (a) for carrying on a business (b) for carrying on a profession (c) for carrying on charitable activities (d) none of these Ans. c Explanation: Partnership cannot be formed for carrying on charitable activities. (23) X and Y are partners sharing profits and losses in the ration of 3:2 having the capital of Rs. 1,60,000 and Rs. 1,00,000 respectively. They are entitled to 9% p.a. interest on capital before distributing the profits. During the year firm earned Rs. 15,600 before allowing any interest on capital. Profits apportioned among X and Y is: (a) Rs. 9,360 and Rs. 6,240 (b) Rs. 9,600 and Rs. 6,000 (c) Rs. 10,000 and Rs. 5,600 (d) None of these Ans. b Explanation: Int. an capital ‘X’ = 160000 × 9% = 14400 ‘Y’ = 100000 × 9% = 9000 Total 23400 Share is to be distributed in capital Ratio i.e. 8:5, as profits are insufficient. X’s share = 15600 MITTAL COMMERCE CLASSES 8 9600 13 6|Page Y’s share = 15600 (24) 5 6000 13 The profits for Year I are Rs. 4,000; for Year II is Rs. 52,200 and for Year III is Rs. 62,400. Closing stock for Year II and Year III includes the defective items of Rs. 4,400 and Rs. 12,400 respectively, which were considered as having market value NIL. The value of goodwill on weighted average profit method is: (a) Rs. 43,800 (b) Rs. 35,400 (c) Rs. 27,400 (d) Rs. 34,600 Ans. a Explanation: Yr Profits I 4000 4000 II 52200 – 4400 47800 III 62400+4400-12400 54400 Applying weights: Yr Adj. Profit I 4000 II 47800 III 54400 Weight 1 2 3 6 Weighted Avg. Adj. Profit = (25) Product 4000 95600 163200 262800 262800 Rs .43800 6 Goodwill = 43800×1 = Rs.43800 A & B are partners sharing profits and losses in the ratio 5:3. On admission C brings Rs. 1,40,000 for capital and Rs. 96,000 against goodwill. New profit sharing ratio between A,B and C are 7:5:4. Find the sacrificing ratio of A:B. (a) 3:1 (b) 4:7 (c) 5:4 (d) 2:1 Ans. a Explanation: A:B:C Old Ratio 5:3:New Ratio 7:5:4 Sacrificing Ratio: 5 7 10 7 3 8 16 16 16 3 5 65 1 B 8 16 16 16 A Sacrificing Ratio = 3 : 1 (26) B’s Trial Balance contains the following information: Bad debts Rs. 1,000, Provision for Doubtful debts Rs. 1,500. It is desired to make a Provision for Doubtful Debts of Rs. 2,000 at the end of the year. The amount to be debited to the Profit & Loss Account is: (a) Rs. 4,500 MITTAL COMMERCE CLASSES 7|Page (b) Rs. 5,000 (c) Rs. 1,500 (d) Rs. 3,500 Ans. c Explanation: Provision now req. = 2000-1500 Bad debts Amount debited to P&L A/c (27) (28) = = = Rs. 500 Rs.1000 Rs.1500 F’s Capital on January 1,20X2 Rs. 45,000, Interest on drawings Rs. 5,000, Interest on capital Rs. 2,000, Drawings Rs. 14,000, Profit for the year Rs. 15,000. His capital as on 31.12.20X2 is: (a) Rs. 67,000 (b) Rs. 43,000 (c) Rs. 47,000 (d) Rs. 69,000 Ans. b Explanation: Closing capital → 45000 - 5000 + 2000 – 14000 + 15000 = Rs. 43000 I’s Trial balance contains the following information: 12% Bank loan Rs. 40,000, Interest paid Rs. 3,800. Interest debited to the Profit & Loss Account is: (a) Rs. 4,800 (b) Rs. 5,000 (c) Rs. 5,500 (d) Rs. 1,000 Ans. a Explanation: Interest debited to P&L A/c = 40000×12% = Rs. 4800 (29) Adjusted Purchases Rs. 6,63,600, Sales Rs. 7,44,000, Closing Stock Rs. 50,400, Freight & Cartage Inward Rs. 3,600, Wages Rs. 2,400, Freight & Cartage outward Rs. 1,800. Gross Profit for the year is: (a) Rs. 76,200 (b) Rs. 74,400 (c) Rs. 1,24,800 (d) None Ans. b Explanation: Gross profit = 744000 – 663600 – 3600 - 2400 = Rs. 74400 (30) Opening Stock Rs.1,00,000, Sales Rs. 5,00,000, Gross profit @25% on cost, Purchases Rs. 6,00,000. Closing Stock is: (a) Rs. 1,25,000 (b) Rs. 2,25,000 (c) Rs. 3,00,000 (d) Rs. 3,25,000 Ans. c Explanation: Let cost = 100 SP = 100 + 25% = 125 MITTAL COMMERCE CLASSES 8|Page COGS 500000 100 Rs .400000 125 Closing stock → 100000 + 600000 – 400000 = Rs. 300000 (31) Contract, which ceases to be enforceable by law becomes a/an(a) Unenforceable Contract (b) Void Agreement (c) Void Contract (d) Voidable Contract. Ans. c Explanation: Section 2(j) defines void contract as a contract which ceases to be enforceable by law. (32) A proposes by letter, to sell his house to B at Rs. 10000. Communication of the proposal is complete when (a) A posts the letter (b) B receives the letter (c) B acknowledges to A that he has received the letter. (d) (b) or (c) , whichever is earlier Ans. b Explanation: As per Sec- 4, the communication of an offer is complete when it comes to the knowledge of the person to whom it is made. (33) Which of the following is an offer? (a) Mere quotation of terms by trader (b) Quotation of the lowest price in answer to an enquiry (c) Advertisement for sale or auction of goods (d) Bids in an auction sale Ans. d Explanation: Auction sale is invitation to offer but bids made by bidder under auction sale is termed as offer. (34) When (a) (b) (c) (d) Silence may be treated as Acceptance. When Party binds other party When it is liability to speak When it is public matter None out of these Ans. b Explanation: because Silence cannot be treated as acceptance unless it was liability of party to speak. (35) Promise made with intention of not to perform is :(a) Fraud (b) Coercion (c) under influence MITTAL COMMERCE CLASSES 9|Page (d) mis-statement Ans. a Explanation: Because as per Sec. 17(3) promise mode with intention of not to perform will be fraud. (36) K obtained a release deed from his wife and son under a threat of committing suicide. The transaction can be set aside on the ground of(a) Coercion (b) Undue Influence (c) Mistake (d) Fraud Ans. a Explanation: As per Sec. 15 "Coercion" is the committing, or threatening to commit any act forbidden by Indian penal code, or the unlawful detaining or threatening to detain any property, to the prejudice of any person (1) whatever with the intention of coursing any person to enter into an agreement. And suicide comes under "Coercion". (37) The burden of proof that the consent was obtained by Coercion lies on — (a) the person who wants to relieve himself of the consequences of coercion. (b) the person who employs the coercion (c) either-(a) or (b) (d) both (a) and (b) Ans. a Explanation: The burden of proof that the consent was obtained by Coercion lies on the person who wants to relieve himself of the consequences of coercion. (38) A girl who lost her parents lived with her cousin brother who was in the position of her parents. She executed an unconscionable gift deed in his favour. This gift deed can be set aside on grounds of-. (a) Mistake. (b) Undue Influence. (c) Fraud (d) Coercion. Ans. b Explanation: As per sec. 16, A contract is said to be induced by "Undue influence". Where the relations subsisting between parties are such that one of the parties is in a position to dominate the will of the other and uses that position to obtain an unfair advantage of the other. A person is deemed to be in a position to dominate the will of the other, when he holds authority real or apparent authority over the other, or when he stands in a fiduciary relation to the other. (39) Mistake as to Foreign Law is treated in the same manner as – (a) Mistake of Indian Law MITTAL COMMERCE CLASSES 10 | P a g e (b) (c) (d) Mistake of fact Misrepresentation Fraud Ans. b Explanation: Mistake as to foreign law is treated in the same manner as mistake of fact. (Section – 20) (40) K gave a loan to the guardian of a Minor to enable him to celebrate the Minor’s marriage in contravention of Child Marriage Restraint Act. The agreement is — (a) Valid (b) Valid if ratified by the Minor (c) not enforceable (d) voidable Ans. c Explanation: The agreement is not enforceable because it is forbidden by law due to unlawful of consideration as well as object in the agreement. (41) A promises to paint a picture for B by a certain day at a certain price. A dies before the promised day. Which one of the following is the correct legal position? (a) The agreement becomes unlawful (b) The agreement lapses for both the parties (c) The agreement becomes voidable at the option of A’s legal representative (d) The agreement is void ab-initio. Ans. b Explanation: Agreement based on personal skill cannot be enforceable after the death of the party. Hence, it lapses for both the parties. (42) A contract to marry a person shall be performed by — (a) Promisor himself (b) Representative of the Promisor competent to perform (c) A third person (d) Any of the above. Ans. a Explanation: Contract which involve the exercise of personal skill or diligence, or which are founded on personal confidence between the parties must be performed by the promisor himself. (43) “Delivery” as defined under Section 2(2) of the sale of Goods Act, means voluntary transfer of (a) Possession (b) Ownership (c) Risk (d) All of the above MITTAL COMMERCE CLASSES 11 | P a g e Ans. a Explanation: As per section -2(2) of the Sale of Goods Act, delivery means voluntary transfer of possession by one person to another. (44) Which (a) (b) (c) (d) is an instance of Symbolic Delivery of Goods — Abandonment by a person who is in possession of the goods Transfer of a Bill of Lading Physical Delivery of goods All of the above Ans. b Explanation: Symbolic Delivery - When there is a delivery of a thing in token of a transfer of something else, i.e., delivery of goods in case of transit may be made by handing over documents of title to goods, like bill of lading or railway receipt or delivery orders or the key of a warehouse containing the goods is handed over to buyer. (45) Which (a) (b) (c) (d) of these is not a Document of Title of Goods? Multimodal Transport Document Bill of Lading Promissory Note Railway Receipt Ans. c Explanation: Promissory Note is not a document of title of goods, because it is a indebt certificate of particular amount/debt. (46) Under the Sale of Goods Act “.... Goods” means goods which not yet in existence at the time of making the contract of sale (a) Ascertained Goods (b) Future Goods (c) Specific Goods (d) Perishable Goods Ans. b Explanation: As per section -2(6) of the Sale of Goods Act, future goods means goods to be manufactured or produced or acquired by the seller after making the contract of sale. (47) A, a fisherman, agrees to sell B, a certain type of fish, provided there is no cyclonic storm. The goods are (a) Future goods (b) Specific goods (c) Unascertained Goods (d) Contingent Goods Ans. d MITTAL COMMERCE CLASSES 12 | P a g e Contingent goods are such goods availability of which depends upon future contingency of event. Here in the given question the goods are not future but depends upon contingent event i.e., cyclonic storm. (48) In case the acquisition of goods by the Seller depends upon a contingency which may or may not happen — (a) It is an invalid agreement. (b) It is a valid agreement to sell. (c) It is a valid contract of Sale. (d) It is a illegal and void agreement. Ans. b Explanation: As per section – 4 (3) of the Sale of Goods Act, where under a contract of sale the transfer of the property in the goods is to take place at a future time or subject to some condition thereafter to be fulfilled, the contract is called an agreement to sell. (49) A, B & C were 3 Partners in a Partnership Firm Sharing Profits & Loss equally. Their Capital contribution were Rs. 20,000, Rs. 10,000 & Rs. 2000 respectively. Firm is dissolved & C could not pay anything and firm realised only Rs. 20,000 from its property. Calculate the total amount of Loss to be borne by A : (a) Rs. 5333 (b) Rs. 5000 (c) Rs. 6000 (d) Rs. 8000 Ans. a Explanation: Rs. 5333 (50) Promotion of litigation in which one had no interest is (a) Champerty (b) Maintenance (c) Stifing litigation (d) None of the above Ans. b Explanation: Maintenance. (51) _________________ is the apex bank for agriculture credit in India. (a) RBI (b) SIDBI (c) NABARD (d) ICICI Ans. c (52) Mahalanobis model stressed upon the establishment of (a) consumer goods industries (b) export oriented industries (c) agro-based industries MITTAL COMMERCE CLASSES 13 | P a g e (d) capital and basic goods industries Ans. d (53) Three steel plants in Bhilai, Rourkela and Durgapur were set up in the (a) First plan (b) Second plan (c) Third plan (d) Fourth plan Ans. b (54) The industrial sector faced the process of retrogression and deceleration during (a) 1950-1965 (b) 1990-2005 (c) 1980-1995 (d) 1965-1980 Ans. d (55) The service sector in (a) more than 80 (b) more than 70 (c) more than 50 (d) more than 90 Ans. c (56) BPO stands for (a) Bharat Petro Organisation (b) Business Process Outsourcing (c) Big Portfolio outsourcing (d) Business Partners Organisation Ans. b (57) Which (a) (b) (c) (58) Demand for final consumption arises in (a) household sector only (b) government sector only (c) both household and government sectors (d) neither household nor government sector Ans. c (59) Per capita national income means (a) NNP ÷ population (b) Total capital ÷ population (c) Population ÷ NNP (d) None of the above Ans. a India now accounts for per cent of GDP per cent of GDP per cent of GDP per cent of GDP of the following is incorrect? GDP at market price =GDP at factor cost plus net indirect taxes. NNP at factor cost = NNP at market price minus net indirect taxes. GNP at market price = GDP at market price plus net factor income from abroad. (d) none of the above. Ans. d MITTAL COMMERCE CLASSES 14 | P a g e (60) Find the tax which is direct tax among the following: (a) Personal income tax (b) Excise duty (c) Sales tax (d) Service tax Ans. a (61) Among the following types of taxes, find the one which is indirect? (a) Gift tax (b) Corporate income tax (c) VAT (d) Wealth tax Ans. c (62) At present only ___________ industries are reserved for the public sector. (a) 5 (b) 7 (c) 8 (d) 2 Ans. d (63) At present, 100 per cent FDI is allowed in _______________. (a) defence (b) drugs and pharmaceuticals (c) banks (d) insurance Ans. b (64) Which of the following is also known as International Bank for Reconstruction and Development? (a) IMF (b) RBI (c) WTO (d) World Bank Ans. d (65) FERA stands for (a) Foreign Export Revaluation Act (b) Funds Exchange Resources Act (c) Finance and Export Regulation Association (d) Foreign Exchange Regulation Act. Ans. d (66) EPCG stands for (a) Export Promotion Capital Goods (b) Expert Programme for Credit Generation (c) Exchange Programme for Consumer Goods (d) Export Promotion Consumer Goods Ans. a (67) CENVAT stands for (a) Common Entity Value Added Tax (b) Corporate Entities Value Added Tax MITTAL COMMERCE CLASSES 15 | P a g e (c) Central Value Added Tax (d) None of the above Ans. c (68) The FRBMA stands for (a) Foreign Regulation and Budget Management Act. (b) Fiscal Responsibility and Budget Management Act. (c) Finance Regulations and Bonds Management Association. (d) Funds Reallocation and Budget Management Act. Ans. b (69) ___________ refers to disposal of public sector’s units in equity in the market. (a) Globalisation (b) Privatisation (c) Disinvestment (d) Liberalisation Ans. c (70) SEZ Act came into effect in ______. (a) 2002 (b) 2003 (c) 2006 (d) 2007 Ans. c (71) FDI is allowed in all of the following except: (a) Lottery business (b) Banking operations (c) Insurance (d) Air transport services Ans. d (72) Saturation point means: (a) TU is rising, and MU is falling (b) TU is falling and MU is negative (c) TU is maximum and MU is zero (d) Falling MU curve Ans. c Explanation: Saturation point means TU is maximum and MU is zero (73) A downward sloping curve can have the following shape: (a) Convex (b) Concave (c) Straight line (d) All of the above Ans. a (74) Which of the following is the property of indifference curves? (a) They are downward sloping (b) They are convex to the origin (c) They are non-intersecting (d) All of the above Ans. d MITTAL COMMERCE CLASSES 16 | P a g e (75) An upward movement along a supply curve shows: (a) Contraction is supply (b) Decrease in supply (c) Expansion in supply (d) Increase in supply Ans. c (76) The points A (7,3)and C (0,-4) are two opposite vertices of a rhombus ABCD. Find the equation of diagonal AC. (a) 2x+2y–3=0 (b) x–y+3=0 (c) y–x+4=0 (d) None of these Ans. c Explanation : A(7, 3) C(0, –4) 4 3 (x 7) 07 7 y 3 (x 7) 7 y3 x 7 xy4 0 (y 3) (77) The equation of the line passes through (a, b) and parallel to the line (a) (b) (c) (d) x y 1 is a b x y 3 a b x y 2 a b x y 0 a b none of these Ans. b Explanation : x y b 1 bx ay ab y x b a b a b slope of line is a b Required equation is y b (x a) a ay ab bx ab bx ay 2ab MITTAL COMMERCE CLASSES 17 | P a g e (78) x y 2 a b Find out sum of the roots of equation 3x 2 (5m 2)x m 0 if one root is reciprocal to other. 15 (a) 2 13 (b) 3 5m 2 (c) 3 (d) 3 Ans. b Explanation : Given equation is 3x 2 (5m 2)x m 0 (5m 2) Sum of the roots = 3 We know that if roots are reciprocal to each other then So m 1 m 3 3 So sum of the roots (79) c 1 of ax 2 bx c 0 a (5 3 2) 13 3 3 The shaded region represents: (a) 3 x 2 y 24, x 2 y 16, x y 10 x, x 0, y 0, (b) 3 x 2 y 24, x 2 y 16, x y 10, x 0, y 0 (c ) 3 x 2 y 24, x 2 y 16, x y 10, x 0, y 0 (d) None Ans. c Explanation: Region represented by the line 3x + 2y = 24 meets the coordinate axes at (8,0) and (0,12). Since the shaded region lies below the line 3x+2y=24 therefore it is represented by less than or equal to sign i.e. 3x+2y< 24. MITTAL COMMERCE CLASSES 18 | P a g e Similarly for th eline x+2y = 16 the shaded region lies below the line therefore it is represented by less than or equal to sign i.e. x+2y<16 Clearly X > 0 and y > 0 represents the region lying on the right side of y axis and above x axes. (80) A square is drawn by joining mid-points of the sides of a square. Another square is drawn inside the second square in the same way and the process is continued indefinitely. If the side of the first square is 16 cm, then what is the sum of the areas of all the squares ? (a) 341 sq. cm (b) 512 sq. cm (c) 1024 sq. cm (d) 512 sq. cm 3 Ans. b Explanation: Required sum = 16 2 = 16 2 1 162 1 162 .... 2 4 1 1 1 2 4 ... 1 2 512 sq. cm = 16 1 1 2 (81) In a football championship 153 matches were played. Every team played one match with each other team. How many teams participated in the championship ? (a) 21 (b) 18 (c) 17 (d) 15 Ans. b Explanation: nc 2 153 nn 1 153 2 n 18 (82) What is the number of ways of arranging the letters of the word "BANANA" so that no two N's appear together ? (a) 40 (b) 60 (c) 80 (d) 100 Ans. a MITTAL COMMERCE CLASSES 19 | P a g e Explanation: No. of ways that can be formed by using the word 'BANANA' = No. of ways in which two N comes together = 6! 60 3!2! 5! 20 3! Required No. of ways = 60–20 = 40 (83) In a city, three daily news paper A, B and C are published, 42% read A, 51% read B, 68% read C, 30% read A and B, 28% read B and C, 36% read A and C, 8% do not read any of the three newspapers. What is the percentage of person who read only one paper ? (a) 38% (b) 48% (c) 51% (d) None Ans. b Explanation: By formula n A B C n A nB nC n A B nB C n( A C) n A B C 92% = 42% + 51% + 68% – 30% – 28% – 36% + n A B C = 25% n A B C U B A 5% 1% 18% 25% 3% 11% 29% C The percentage of persons who read only one paper = 1% + 18% + 29% = 48% (84) In what time will Rs.800 amount to Rs.926.10 at 10% per annum interest compounded half yearly? (a) 3 year 1 (b) 1 year 2 1 (c) 2 year (d) 2 year 3 1 2 MITTAL COMMERCE CLASSES 20 | P a g e Ans: (b) Explanation: A = 𝑃 (1 + 𝑟 100 ) 𝑛 926.10 = 800 (1 + 9261 8000 = (1 + 21 3 1 20 5 100 ) 2n 2n ) 21 2n (20) = (20) ∴ 2n = 3 1 n = 1 Year 2 (85) There are deer and peacocks in a Zoo. By counting heads they are 80. The number of their Legs is 200. How many peacocks are there? (a) 30 (b) 50 (c) 60 (d) 20 Ans: (c) Explanation: Let the no. of deer and peacocks are 𝑥 and 𝑦 𝑥 + 𝑦 = 80.......................(i) 4𝑥 + 2𝑦 = 200.......................(i) By solving the eqn (i) and eqn (ii) y = 60 (86) If 𝑥 = 7 + 4√3, 𝑦 = 7 − 4√3, what is the value of 1 𝑥2 + 1 𝑦2 . (a) 194 (b) 198 (c) 212 (d) 196 Ans. (a) Explanation: 1 𝑥2 1 2 + 𝑦 2 = (7 − 4√3) + (7 + 4√3) 2 = 49 + 48 + 49 + 48 = 194 (87) 1 1 1 1 3 4 5 80 log 3 (1 + ) + log 3 (1 + ) + log 3 (1 + ) +--------------------+log 3 (1 + (a) 5 (b) 2 (c) 3 (d) 4 Ans. (c) Explanation: 4 5 6 81 3 4 5 80 )= log 3 ( ) + log 3 ( ) + log 3 ( ) +-------------------+log 3 ( ) MITTAL COMMERCE CLASSES 21 | P a g e 4 3 = log 3 ( x 5 4 6 81 x 5 x − − − − − − − 80) = log 3 27 = 3 (88) If N be the set of natural numbers and f : N N be a function given by f x x 1 for x N , then which one of the following is correct ? (a) f is one-one and onto (b) f is one-one and into (c) f is many-one and onto (d) f is many-one and into Ans. b Explanation: f x x 1 if x, x2 N f x1 f x2 x1 1 x 2 1 x1 x 2 f x is one-one but Range of f x N 1 so f(x) is into function then (89) Which of the following statements is true for tabulation ? (a) Statistical analysis of data requires tabulation (b) It facilitates comparison between rows and columns (c) Diagrammatic representation of data requires tabulation (d) All of these Ans. d Explanation: (90) Let L be the lower class boundary of a class in a frequency distribution and may be the mid-point of the class. Which one of the following is the higher class boundary of the class ? (a) (b) mL 2 mL L 2 m (c) 2m–L (d) m–2L Ans. c Explanation: X= LCL UCL L UCL M 2 2 UCL = 2m - L (91) The weighted arithmetic mean of first n natural numbers whose weights are equal to the corresponding numbers is equal to : (a) 2n 1 3 MITTAL COMMERCE CLASSES 22 | P a g e 2n 1 6 2n 1 3 (b) (c) (d) None of the above Ans. c Explanation: x 1 2 f 1 2 3 3 ... ... n n fx: 32 ... n2 12 22 nn 12n 1 2n 1 6 Mean = . nn 1 3 2 (92) Total nn 1 2 nn 1 2n 1 6 Geometric mean of 2, 4, 8 ... 2n. (a) 2n+1/2 (b) 2n–1/2 (c) 2n/2 (d) 22/n Ans. a Explanation: Gm = 2 2 2 ....2 2 3 1 n n 2 n 1 / 2 (93) Age of applicants for life insurance and the premium of insurance-correlation are : (a) positive (b) negative (c) zero (d) None Ans. a Explanation: (94) If 10 x;4 50, xi 1 = ? 2 i 1 10 then the value of i 1 (a) 80 (b) 72 (c) 40 (d) 20 Ans. c Explanation: xi 1 50 30 40 = 2 2 i 1 10 MITTAL COMMERCE CLASSES 23 | P a g e (95) In a binomial distribution with 6 independent trails, the probability of 3 and 4 successes are found to be 0.2457 and 0.0819, respectively. Find the parameter 'P' of the binomial. (a) 3/13 (b) 4/13 (c) 5/13 (d) 6/13 Ans. b Explanation: px 3 6 C3 p 3 q 3 0.2457 px 4 6 C4 p 4 q 2 0.0819 20 q = 45 p p= 4 13 (96) If the 1st quartile and the mean deviation about median of a normal distribution are 13.25 and 8, respectively, then the mode of the distribution is : (a) 20 (b) 10 (c) 15 (d) 12 Ans. a Explanation: Q1 =m–0.675 s = 13.25 MD = 0.8 s = 8 s = 10 m = 20 mode = 20 (97) During a certain period the cost of living Index number goes up from 110 to 200 and the salary of the worker is also raised form Rs. 325 to Rs. 500. Does the worker : (a) gain (b) looses (c) fully compensated (d) gain lay 10% Ans. b Explanation: Revised salary = 200 325 590.90 110 It means worker is in loss. (98) P1Q1 248, P0Q0 150, Paasche's index number = 150 and Dorbish-Bowley's index number = 145. Then the Fisher's ideal index number is: (a) 75 (b) 144.91 (c) 145.97 (d) None of these Ans. b Explanation: MITTAL COMMERCE CLASSES 24 | P a g e Dorbish-Bowley's index number = LP 145 2 L = 290 – P = 140 f= (99) L P 140 150 144.91 If u = 2x+5, v=–3y +1, and the regression coefficient of y on x is – 1.2, the regression coefficient of v on u is : (a) 1.8 (b) –1.8 (c) 3.26 (d) 0.8 Ans. a Explanation: bvu = p byx q 3 1.2 1.8 2 (100) In poisson distribution mean is always greater than it's variance. (a) True (b) False (c) Both (d) None of these Ans. b Explanation: *** MITTAL COMMERCE CLASSES 25 | P a g e