CPT Mock Test – 3rd Test Booklet No. – 110017 (1) (2) Ans. c Explanation: Cash Book Add: Pass Book + + + Duration : 2 Hours Total Marks : 100 ? 233 233 Ans. b Explanation: Cash Book Less: (3) Date: - 25.10.2015 + Ans. c Explanation: Interest = 150000 x 9% x 2 12 = 2250 (4) Ans. d Explanation: Noting charges are borne by drawee in the event of dishonor of bill. (5) Ans. a Explanation: Pay B, Rs.500 on Presentment (6) Ans. a Explanation: Generally the value of land keeps on increasing. (7) Ans. d Explanation: Cost = 90000 + 10000 + 2000 = Rs. 102000 Annual expenses of insurance premium are not added to the cost of Asset. (8) 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) Ans. a Explanation: Original Cost = 240000 + 20000 = Rs.260000 Depreciation = 260000 x 10% = Rs.26000 (10) Ans. c MITTAL COMMERCE CLASSES 1|Page 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 6 12 = Rs.10000 (11) Ans. d Explanation: Purchase return A/c is having credit balance. (12) Ans. a Explanation: Advance accounts are personal accounts by nature. (13) Ans. a Explanation: Interest A/c is shown in profit & loss A/c. (14) Ans. c Explanation: Drawings A/c Dr To purchases A/c (15) Ans. c Explanation: Machinery A/c Dr. To cash A/c (16) Ans. b Explanation: Loss of stock due to avoidable reasons, is abnormal loss. (17) Ans. d Explanation: Consignee does not pass such entries. (18) 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) Ans. c MITTAL COMMERCE CLASSES 2|Page Explanation: Consignment A/c Dr. Particulars To Op. Stock To Goods sent on consignment A/c To Consignor’s Exp. To Consignee’s Exp. To Commission To Del-Credere Commission (420000 × 2%) To Net profit (B/F) Rs. 20000 400000 10000 4000 5600 8400 Particulars By sales: Cash Credit By consignment Stock Ans. b Explanation: Cost per unit 200000 220000 100000 72000 520000 (20) Cr. Rs. 520000 (2000 3) 800 NIL Rs.4 2000 15% (21) Ans. d Explanation: Name of the act is “The Indian Partnership Act, 1932”. (22) Ans. c Explanation: Partnership cannot be formed for carrying on charitable activities. (23) 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. 8 9600 13 5 6000 Y’s share = 15600 13 X’s share = 15600 (24) Ans. a Explanation: Yr Profits I 4000 II 52200 – 4400 III 62400+4400-12400 Applying weights: Yr Adj. Profit I 4000 MITTAL COMMERCE CLASSES Weight 1 4000 47800 54400 Product 4000 3|Page II III 47800 54400 2 3 6 Weighted Avg. Adj. Profit = 95600 163200 262800 262800 Rs .43800 6 Goodwill = 43800×1 = Rs.43800 (25) Ans. a Explanation: A:B:C 5:3:7:5:4 Old Ratio New Ratio 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) Ans. a Explanation: D’s share of goodwill = 243000 Old Ratio New Ratio Sacrificing Ratio 2 Rs .54000 9 A:B:C:D 4:3:2:_ 3:2:2:2 4 3 1 9 9 9 3 2 1 B 9 9 9 2 2 C 0 9 9 A Sacrificing Ratio = 1 : 1 Share in goodwill : 1 Rs.27000 2 1 B 54000 Rs.27000 2 A 54000 Goodwill withdrawn 1 13500 2 1 B 27000 13500 2 A 27000 (27) Ans. c Explanation: MITTAL COMMERCE CLASSES 4|Page Full value of goodwill = 9000 6 Rs .54000 1 (28) Ans. a Explanation: Retiring partner can carry on competing business. (29) Ans. c Explanation: P&L suspense A/c Dr. To partner’s capital A/c (30) Ans. a Explanation: Avg. Profit 53600 + 57400 + 57800 + 48000 + 26800 Rs .48720 5 Goodwill = 48720 × 3 = Rs. 146160 C’s share in Goodwill = 146160 4 Rs . 36540 16 (31) Ans. b Explanation: Because Indian contact act is not applicable to some matters like stamp value in contract of sale of land etc. (32) Ans. c Explanation: Contract because according to section 2 (h) any agreement which is enforceable by law is known as contract. (33) Ans. (a) Explanation: An offer to be valid should not contain a term the non-compliance of which would amount to acceptance. (34) Ans. d Explanation: Because if there is no free consent then contract will be voidable. (35) Ans. c Explanation: Because contractual rights & liabilities come into existence by offer & acceptance & these are made by parties. (36) Ans. b Explanation: Because every agreement is contract if enforceable by law. It means it is only agreement which converted into contract if it contains all the essential elements. (37) Ans. a MITTAL COMMERCE CLASSES 5|Page Explanation: Because every promise & set of promises forming consideration for each other is agreement. (38) Ans. a Explanation: Law always protect the innocent party therefore all innocent promises collateral to the main illegal promise contained in a contract will be regarded as valid. (39) Ans. b An implied contract is one which is made otherwise than in words. In other words, it is inferred from the circumstance of the particular case. Hence in this case when A asks B, a watch repairer to repair his watch. the repairer accepts the offer and in return A will pay the price for the repair. Thus rights and obligations are created on the parties therefore it, amounts to implied contract. (40) Ans. b Explanation: Before An offer can be revoked before offeree put his acceptance into transit. (41) Ans. b Explanation: Because consideration may be given by any person (42) Ans. a Explanation: Because past services rendered must be voluntary and not involuntary. (43) Ans. b Explanation: Specific offer refers to the offer made to a definite person or group of persons. Such an offer can be accepted by that specified person or group of persons only. Here, in the given case the Law Book is offered to be sold only to members of ICAI Council, hence it is a specific offer. (44) Ans. a Explanation: Because consideration may be insufficient. (45) Ans. d Explanation: Because Consideration need not to be adequate. (46) Ans. a Explanation: (47) Ans. b Explanation: MITTAL COMMERCE CLASSES 6|Page A contract is said to be tacit when it has to be interred from the conduct of the parties. Obtaining cash through automatic teller machine is an example of the tacit contract. (48) Ans. a Explanation: When the offeree offers to qualified acceptance of the offer subject to modifications and variations in the terms of original offer, he is said to have made a counter offer. A counter offer amounts to rejection of the original offer i.e. original offer ends or lapeses. (49) Ans. b Explanation: Because consideration can be given by any person. (50) Ans. c Explanation: Because modern style is not certain therefore contract is void because of uncertainty. (51) If the price of apples rises from Rs. 30 per kg. to Rs. 40 per kg and the supply increases from 240 kg to Rs. 300 kg. Elasticity of supply is: (a) .77 (b) .67 (c) (-).67 (d) (-).77 Ans. a Explanation: P1 30 / Q1 240 / P2 40 / Q2 300 / Q Q2 P1 P2 ea 1 Q1 Q2 P1 P2 60 70 = 540 10 42 0.77 54 = (52) If as a result of 10% increase in price, the quantity supplied does not change at all, it implies that the elasticity of Supply is: (a) Zero (b) Infinite (c) Equal to one (d) Greater than Zero but less than are Ans. a Explanation: If there is no change in Quantity supplied it means quantity supplied remains unchanged then elasticity will be zero. MITTAL COMMERCE CLASSES 7|Page y s P1 e1 Price P1 e0 P2 e2 0 Q0 x Q.S. (53) When supply is perfectly elastic, elasticity of supply is equal to________________ (a) +1 (b) 0 (c) —1 (d) infinity. Ans. d Explanation: When there is no change in price even quantity supplied changes then the elasticity is perfectly elastic. (54) The law of consumer surplus is based on (a) Indifference curve analysis (b) Revealed preference theory. (c) Law of substitution (d) The law of diminishing marginal utility. Ans. d Explanation: Because consumer surplus is measured with what a consumer is ready to pay and it can only measured by marginal utility only. (55) Who is the main exponent of Marginal utility analysis ? (a) Paul Samuelson (b) Hicks (c) Keynes (d) Marshall Ans. d Explanation: According to Marshall, “Utility is measurable in terms of money”. (56) What does ‘ceteris paribus’ mean? (a) Other things remaining constant (b) Price of other goods remaining constant (c) Other things are simultaneously changing MITTAL COMMERCE CLASSES 8|Page (d) None of the above Ans. a Explanation: ‘ceteris paribus’ mean Other things remaining constant (57) Expansion of demand is shown by: (a) Upward movement on the demand curve (b) Downward movement on the demand curve (c) Rightward shift of the demand curve (d) Leftward shift of the demand curve Ans. b (58) When cross elasticity of demand is positive, then two goods are: (a) Substitutes (b) Complements (c) Not related (d) Perfect complements Ans. a Explanation: Tea and Coffee. (59) 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 (60) A downward sloping curve can have the following shape: (a) Convex (b) Concave (c) Straight line (d) All of the above Ans. a (61) When supply curve is horizontal, Es = _________? (a) Es = 0 (b) Es = 1 (c) Es = ∞ (d) Es > 1 Ans. c Explanation: MITTAL COMMERCE CLASSES 9|Page ew Y; Y X ek=k (62) When TP is at its point of inflexion, the MP is: (a) Falling (b) Negative (c) Zero (d) Maximum Ans. d Explanation: When TP is at its point of inflexion, the MP is maximum. (63) In stage II of law of Variable Proportions, both AP and MP are: (a) Falling but positive (b) Rising (c) Falling and become negative (d) None of the above Ans. a Explanation: In stage II of law of Variable Proportions, both AP and MP are falling but positive. (64) AVC is defined as: (a) Variable cost per unit of output produced (b) Cost of one unit of output produced (c) Additional cost of one unit of output produced (d) None of the above Ans. a Explanation: AVC is defined as variable cost per unit of output produced. (65) When AC = MC, AC is _________ . (a) Minimum (b) Falling (c) Rising (d) Maximum Ans. a Explanation: When AC = MC, AC is minimum. (66) MC curve is ________ shaped. (a) L-shaped (b) Straight line MITTAL COMMERCE CLASSES 10 | P a g e (c) U-shaped (d) Inverse S-shaped Ans. c Explanation: MC curve is U-shaped. (67) Reason for the shape of MC curve is: (a) Law of Variable Proportions (b) Returns to scale (c) Law of diminishing cost (d) Law of increasing cost Ans. a Explanation: Reason for the shape of MC curve is due to law of variable proportions. (68) Long-run AC curve is also called: (a) Planning curve (b) Envelope curve (c) Cost frontier (d) All of the above Ans. d Explanation: From the Table given below, answer question 69 to question 75 Units 0 1 2 3 TC 80 100 118 140 (69) What is the value of TFC when 1 unit of output is produced? (a) 100 (b) 80 (c) 10 (d) 50 Ans. b Explanation: Since even if there is whatever production TFC will be 80 only. (70) What is TVC when 1 unit of output is produced? (a) 20 (b) 30 (c) 38 (d) 60 Ans. a Explanation: TVC = TC – TFC =100 – 80 = 20 (71) What is the value of AFC when 2 units of output are produced? (a) 80 (b) 100 (c) 40 (d) 0 Ans. c MITTAL COMMERCE CLASSES 11 | P a g e Explanation: AFC = (72) What is the value of AVC when 3 units of output are produced? (a) 20 (b) 19 (c) 30 (d) 3 Ans. a Explanation: TVC = TC – TFC =140 – 80 = 60 AVC = (73) TFC 80 40 Q 2 TVC 60 20 Q 3 What is the value of MC when 2 units of output are produced? (a) 18 (b) 20 (c) 22 (d) 24 Ans. a Explanation: MC = DTC / DQ = 118 100 18 2 1 (74) What is the value of TVC when 3 units of output are produced? (a) 60 (b) 20 (c) 38 (d) 30 Ans. a Explanation: TVC = TC – TFC = 140 – 80 = 60 (75) When both AC and MC are rising, _________ rises at a faster rate: (a) AC (b) MC (c) AVC (d) AFC Ans. b Explanation: Y AC MC O MITTAL COMMERCE CLASSES X 12 | P a g e (76) 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 (77) 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 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 (78) What is the number of signals that can be sent by 6 flags of different colours taking one or more at a time ? (a) 21 (b) 63 (c) 720 (d) 1956 Ans. b Explanation: Required no. of ways = 26–1 = 63 (79) 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 Ans: (b) Explanation: MITTAL COMMERCE CLASSES 13 | P a g e A = 𝑃 (1 + 𝑟 100 ) 𝑛 926.10 = 800 (1 + 9261 8000 = (1 + 1 20 21 3 21 2n 20 20 ) 5 100 ) 2n 2n ( ) =( ) ∴ 2n = 3 1 n = 1 Year 2 (80) 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 (81) What are the linear constraints for which the shaded area in the above figure is the solution set? (a) 𝑥 − 𝑦 ≥ 1; 𝑥 + 2𝑦 ≥ 8; 𝑥 + 𝑦 ≥ 1; 𝑥, 𝑦 ≥ 0 (b) 𝑥 − 𝑦 ≤ 1; 𝑥 + 2𝑦 ≥ 8; 𝑥 + 𝑦 ≤ 1; 𝑥, 𝑦 ≥ 0 (c) 𝑥 − 𝑦 ≤ 1; 𝑥 + 2𝑦 ≤ 8; 𝑥 + 𝑦 ≥ 1; 𝑥, 𝑦 ≥ 0 (d) 𝑥 − 𝑦 ≤ 1; 𝑥 + 2𝑦 ≤ 8; 𝑥 + 𝑦 ≤ 1; 𝑥, 𝑦 ≥ 0 Ans. (c) Explanation: The linear constraints for which the shaded region in the given figure is the solution set, are 𝑥 − 𝑦 ≤ 1; 𝑥 + 2𝑦 ≤ 8; 𝑥 + 𝑦 ≥ 1; 𝑥, 𝑦 ≥ 0 MITTAL COMMERCE CLASSES 14 | P a g e (82) A manufacturer produces 80 T.V. sets at a cost Rs. 2,20,000 and 125 T.V. sets at a copy of Rs.2,87,500. Assuming the cost curve to be linear find the cost of 95 sets. (a) Rs. 3,52,500 (b) Rs. 1,45,550 (c) Rs. 2,42,500 (d) None of these Ans. c Explanation : Since the cost curve is linear we consider cost curve as y=Ax+B where y is total cost. Now for x=80, y=2,20,000. ∴ 2,20,000 = 80A+B…….(i) and for x = 125; y=2,87,500 ∴ 2,87,500 = 125A+B………(ii) Subtracting (i) from (ii) 45A=67,500 or A=1500 From (i) 2,20,000 – 1500 (80) = B or B =2,20,000-1,20,000=1,00,000 Thus equation of cost line is y = 1,500x+1,00,000. For x=95, y=1,42,500+1,00,000=Rs. 2,42,500. ∴ Cost of 95 T.V. set will be Rs. 2,42,500. (83) 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 (84) Which Statement is correct in the following? Linear system of equation 2𝑥 + 3𝑦 = 4 and 4𝑥 + 6𝑦 = 7 has (a) no solution (b) Unique solution (c) exactly 2 solution (d) Infinite solution. Ans. (a) Explanation: MITTAL COMMERCE CLASSES 15 | P a g e For the lines 2𝑥 + 3𝑦 = 4 and 4𝑥 + 6𝑦 = 7 2 4 3 4 =6≠7 So, the given system of equation have no solution because, both lines are parallel to each other. (85) How much amount is required to be invested every year so as to accumulate Rs.4,00,000 at the end of 10 years, if interest is compounded annually at 10% (a) Rs. 24506.18 (b) Rs. 25098.16 (c) Rs. 22506.18 (d) Rs. 21098.16 Ans. (b) Explanation: R A = [(1 + r)n − 1] r 400000 = R 0.10 [(1 + 0.10)10 − 1] R = Rs. 25098.16 (86) The present value of Rs. 10000 due in 2 years at 5% p.a. compound interest when the interest is paid on half-yearly basis is: (a) Rs. 9070.50 (b) Rs. 9069.50 (c) Rs. 9061.50 (d) Rs. 9059.50 Ans. d Explanation: Present value A(1 i ) n 10000 / (1 0.025) 4 10000 / (1.025) 4 10000 / (1.1038) Rs.9059.50 (87) The value of k for which the points (k, 3), (5, 5) and (10, 7) may be collinear is (a) k= 0 (b) k= 7 (c) k= 9 (d) k= l Ans. a Explanation: For collinearity of three points, Area of triangle = 0 MITTAL COMMERCE CLASSES 16 | P a g e 1 x1( y2 y3 ) x2 ( y3 y1 ) x3 ( y1 y2 ) = 0 2 Given : x1 k , x2 5, x3 10 y1 3, y2 5, y3 7 K (5 7) 5(7 3) 10(3 5) 0 2k 20 20 0 k 0 (88) In how many ways can a team of 11 cricketers be chosen from 9 batsmen and 6 bowlers to give a majority of batsman if at least 3 bowlers are to be included. (a) 1224 (b) 3224 (c) 1324 (d) 1125 Ans. a Explanation: Since the team is to contain at least 3 bowlers out of 6 bowlers and 9 batsmen ; This can be done in the following ways. (i) 3 bowlers and 8 batsmen. It can be selected in (ii) 6 C3 9C8 180 ways. … (1) 4 bowlers and 7 batsmen. This can be done in (iii) 6 C4 9C7 540 ways. … (2) 5 bowlers and 6 batsmen. This can be done in 6 C5 9C6 504 ways. … (3) Total number of ways = 180+540+504 = 1224 ways. (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: MITTAL COMMERCE CLASSES 17 | P a g e 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 : 2n 1 3 2n 1 6 2n 1 3 (a) (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 n1 / 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 it rains, a dealer of umbrella can earn Rs.300 per day, if it does not rain he can lose Rs. 80 per day. What is his expectation if the probability of a rainy day is 0.57 (in rupees) ? (a) 136.6 (b) 138.6 (c) 146.6 MITTAL COMMERCE CLASSES 18 | P a g e (d) 146 Ans. a Explanation: x 300 –80 p 0.57 0.43 Expected value = 300×0.57–80×0.43 = 136.6 (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: MITTAL COMMERCE CLASSES 19 | P a g e (a) 75 (b) 144.91 (c) 145.97 (d) None of these Ans. b Explanation: 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) If P A 1/ 2, PB 1/ 3, P A B 1/ 4, then what is P(A'/B') ? (a) 1/3 (b) 4/5 (c) 5/8 (d) None Ans. c Explanation: P(A'/B') = P A'B' 1 P A B 5/8 P B ' 1 P B *** MITTAL COMMERCE CLASSES 20 | P a g e
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