CPT Mock Test 3 nd Session Duration : Hours Test Booklet No. 007 Date: -..06 Total Marks : 00 () Ans. b As qualitative credit control measure relates to the distribution of credit among selective groups. () Ans. b The part of cash which is kept by bank itself is known as statutory liquidity ratio. (3) Ans. (a) (4) Ans. b () Ans. b (6) Ans. a (7) Ans. a (8) Ans. c (9) Ans. a Since TFC is there even if the firm's output is zero. AVC = TVC / Q TVC = TC TFC TC = 400 TFC = 00 Hence TVC = 00, AVC = 00/0 = 0 TC MC = Q 800 400 MC = 0 0 MC = 40 Since in pure oligopoly there are identical products e.g. Aluminum Since in 99 GATT was replaced with WTO. Since RBI never lend to the public directly. Since at the time of independence 7 percent of population was dependent on agriculture. P a g e
(0) Ans. b Since the full fledged family programme was started in the year 966 by the government of India. () Ans. c Normative science is related with solution of problems. It involves value judgments. () Ans. a Greater capital formation indicates economic growth of the economy. (3) Ans. a Saturation point means point of full satisfaction. When MU becomes zero and TU becomes maimum that is known as saturation point. (4) Ans. d NDP MP = GDP FC + N.I.T Depreciation () Ans. c Value of second hand car which is sold or purchased because the value of second hand car has been alrea calculated in that year in which it was produced. (6) Ans. c Most of the unemployment in India is definitely structural, that is, the structure of the economy is such that it does not absorb an increasing number of people coming to labour market in search of jobs. (7) Ans. a Airport Authority of India manages airports, including five international airports. (8) Ans. a Fiscal Responsibility and Budget Management (FRBM) bill was introduced in 000 and FRBM act was passed in 003. The Act aims at reducing gross fiscal deficit by 0. Percent of the GDP in each financial year. (9) Ans. c Balance of payment must always in balance. If there is surplus it adds to eternal reserves of the country and if there is a deficit it reduces the eternal reserves of the country. P a g e
(0) Ans. c IBRD (International Bank for Reconstruction and Development) is more popularly known as the World Bank was formed as a part of the deliberations at Bretton Woods in 94. () Ans. d Full Convertibility of rupee, rupee was devalued against major currencies in 99. This was followed by introduction of dual echange rate system in 99-93 and full convertibility on trade account in 993 94. India achieved full convertibility on current account in August, 994. () Ans. d All of the above statements are correct to nullify the effect of incrase CRR. (3) (A) (4) (A) () (A) Under this method, "the laws are deduced logically on the basis of certain fundamental assumptions or accepted actions or truths which have been established and handed down from generation to generation, conclusion and generalisations are drawn. It is also known as "Epansion and Contraction in demand" which is result of change in price of concerning good. If the proportion of income spent on goods increases as income increases, then the income elasticity for the goods is greater than. (6) (B) % or proportionate change in Quantity supplied es = % or proportionate change in Price Q P P Q 4 8 { } 4 7 6 0.67 (e ) 9 Hence, the elasticity of supply is less than elastic (inelastic). (7) (C) (8) (C) This scheme is being implemented in identified districts of different states. The aim is to have self sufficiency in food crops like rice, wheat, pulses. This scheme is being implemented in identified districts of different states. The aim is to have self sufficiency in food crops like rice, wheat, pulses. 3 P a g e
(9) (C) (30) (A) (3) (B) (3) (C) This measure estimated the number of persons who may be said to be chronically unemployed. This measure generally gives the lowest estimate of unemployment especially for a poor economy because a few can afford to remain without work over a long period. Electricity generated from coal, oil and gas is called Thermal electricity. For adult, the National Literacy Mission (NLM) was launched in 998, as a Technology Mission. It aimed at imparting functional literacy to non-literates in the country in the age group of -3 in a time bound manner. In the form of Stagflation, under which economic stagnation, in the form of a low rate of growth combines with the rise in general price level. (33) (C) (34) (B) (3) (A) (36) (D) (37) (D) (38) (B) (39) (C) Foreign Direct Investment was liberalised by raising FDI limit in private sector banks to 74% under the automatic route. Tarapore Committee II was constituted on fuller capital account convertibility. It has chalked out a road map for capital account convertibility. IDA- International Development Association. It gives interest free loans to the poor countries. State Sales Ta (i.e. ta on transactions within a state) is being replaced by Value Added Ta in all states. The RBI is the sole authority for the issue of currency in India other than one rupee coins, notes and subsidiary coins, the magnitude of which is relatively small. The Finance Ministry of Government has right to issue one rupee coins, notes and subsidiary coins, When Net Factor Income from Abroad is subtracted from Net National Product at Factor Cost we get Net Domestic Product at Factor Cost. NDP(FC) = NNP(FC) NFIA Reverse Repo rate is the rate at which Reserve Bank of India borrows money from commercial banks. At present it is 6.% (July, 03) 4 P a g e
(40) (B) The contributions of different sectors to the total national income are estimated by different methods. Thus, in Agriculture sector net value added is estimated by the Production method, in service sector net value added is estimated by the Income method and in Construction sector net value added is estimated by the Ependiture method. (4) Ans. b Central Statistical organization is responsible for computation of national income. (4) Ans. d Quantity demanded & supplied (43) Ans. d As when AP falls, MP also falls but MP < AP (44) Ans. c Since AR=MR is not the condition of equilibrium point and equilibrium occurs at MC = MR (4) Ans. b Since MGNREGS Scheme gives guarantee of at least 00 days to rural households. (46) Ans. a India has a long cost line of 77 Kms, major ports & 00 minor ports. (47) Ans. a TRIPS stands for Trade Related Intellectual Property Rights. (48) Ans. d Since it is a part of taation pattern in India. P a g e
(49) Ans. a Since according to NSSO the reference period used in Uniform recall period is 30 days. (0) Ans. b He was the former Finance Minister. () Ans. b Eplanation : Equation a b y c and a by c have Infinite Solution if a b c a b c then 3 k 6 k 4 () Ans. c Eplanation : A B,,3,4 BA,6,7 So (A-B) (B-A) = {,,3,4,,6,7} and AB,,3,4,,6,7 also (A-B) (B-A). Hence option (C) is correct. (3) Ans. a Eplanation : Left hand side elements of open brackets are called domain so,3,7 (4) Ans. c Eplanation : 6 4 3 6 4 or, 3 3 6 + 4 = A ( 3) + B ( ) Put = 3 We get B = Put = We get A = 6 6 3 = 6 log ( ) + log ( 3) = log ( 3) 6 log ( ) + c A B (Partial fractions) 6 P a g e
() Ans. a Eplanation : y ( y) = 0 y y = 0 Differentiating both sides wrt (6) (B) y y y y y y y y y y y y y y y f y y y 0 0 function is discontinous at (-) (-) = 0 so for and The function is not defined. So the discontinuous points are, (7) (b) Simple interest for 3 years = 700 0 = Rs. 80. SI for years = 80 Rs. 0. 3 Principal = Rs. 0 Rs. 0 = Rs. 400, Rate = 0 00.% Ans. 400 (8) (D) n Present value A( i) 0000 / ( 0.0) 0000 / (.0) 0000 / (.038) Rs.909.0 4 4 7 P a g e
(9) (b) Let the population in the year 000 be P ; Population in 00 = 70400 Rate of increases r = 4 per 000 per annum, Also n = years. 70400 = P 4 P.04 P = 4763 000 (60) (b) n! n! nn n 3! n 3!! n! 3 n n n n 4 36. (6) (d) First Vessel Second Vessel K:P K:P : 3 7: Both the mitures are now mied in :4 Hence Ratio of Kerosine : Petrol is 4 7 9 8 9 9 3 4 9 8 9 9 4 449 3 64 99 449 : 99 (6) (A) Ans. Eplanation : Boys : Girls = 3 :. Sum of the ratios = 3 + = 8. Number of boys in the school = (3 70) / 8 = 70 Number of girls in school = (70) / 8 40. Let the number of new boys admitted be, then number of boys become (70 + ). After admitting 8 new girls, the number of girls become 40 + 8 = 468. According to given condition of the problem : (70 + )/468 = /3 3(70 ) 468 or 80 + 3 = 936 or 3 = 6 or = 4. 8 P a g e
(63) (c) Ans. Eplanation : Here = n n n n n n n n (43). 3 3 3 3 3 3 3 9 3 3 3 3 3 3 3 n n n n n n n n n (n) (3n) 3 3 (3n) (3n) 3 3 9. n n (3n) 3 3 (64) (b) G G G 4 G 3 Arrange of gentlemen around the table 4 for ladies there are place between men so that no ladies are together P4 4 4 Total P = 4 0 = 880 (6) (a) 3 y k 0. Any line perpendicular to the given line is : It passes through (4, ) 0 k 0 k. Required line is : 3 y 0. (66) (a) G Take any an arbitrary point say (, 0) and put in true. So answer is (a). y 0, we get 0 0, which is (67) (a) Since the team is to contain at least 3 bowlers out of 6 bowlers and 9 batsmen ; 9 P a g e
This can be done in the following ways. (i) 3 bowlers and 8 batsmen. It can be selected in 6 C 9 3 C8 80 ways. () (ii) 4 bowlers and 7 batsmen. This can be done in 6 C 9 4 C7 40 ways. () (iii) bowlers and 6 batsmen. 6 9 This can be done in C C6 04 ways. (3) Total number of ways = 80+40+04 = 4 ways. (68) (d) Let the two numbers be a and b. Their geometric mean = ab = 9 (given) ab = 8 () a b Arithmetic mean = (given) a + b = 30. () Also we know that : (a - b) = (a + b) 4 ab = 30 4 8 = 900 34 = 76. (3) a b = 4. From () and (3), we get : a = 7, b = 3. Hence the numbers are 7 and 3. (69) (c) f () 3 Now f(f()) f(3 ) = 3(3 ) = 9 6 = 9 + 8 (70) (a) Differentiating w.r.t. = and = - dt t dt t /dt = = t = - /dt t t = - y 0 P a g e
d y d y = - + = 0 (7) Ans. a ( + 3 k ) k= = (+3) + (+3 ) + (+3 3 ) +... + (+3 ) = + (3 + 3 + 3 3 +... + 3 ) 3 = + 3 3 = + 3 (3 ) (7) Ans. a 6 a 3 0 0 6 0 0 8 3 0 3 8 0 a 8 a a= 6 (73) Ans. d = +a+a +...+ = a a = y = +b+b +...+ y = b b = +ab+a b +...+ y y P a g e
S = ab = y y y y (74) Ans. c (8) 3 log 8 3log8 = 8 a = = 3 log8 a 8 3 log b logb a a log b b (7) Ans. c (76) Ans. c Eplanation : Since the cost curve is linear we consider cost curve as y=a+b where y is total cost. Now for =80, y=,0,000.,0,000 = 80A+B.(i) and for = ; y=,87,00,87,00 = A+B (ii) Subtracting (i) from (ii) 4A=67,00 or A=00 From (i),0,000 00 (80) = B or B =,0,000-,0,000=,00,000 Thus equation of cost line is y =,00+,00,000. For =9, y=,4,00+,00,000=rs.,4,00. Cost of 9 T.V. set will be Rs.,4,00. q = 04, QD = 6 QD = Q 3 Q Q 3 = 6 + 04 = 6 (77) Ans. c Eplanation : Average speed = ab a+b 0 = 0b 0+b b = 00km/h (78) Ans. b y=-3 Variance of y = b Variance of = 3 = 9 = 4 (79) Ans. c P a g e
(80) Ans. a Arrange the data in ascending order: /, /3, /, M = Simple Average of two middle terms = 4 (8) Ans. b M 3 0 0 3 0 6 Eplanation : If two variables are uncorrelated (i.e. r = 0) then regression lines are perpendicular. (8) (83) (B) a y c bd u v, thenry ruv We know that if b and d b d 6 / (y 0 /3) u 6, v ( /) (7/3) Here b = /, d = 7/3 ruv ry 0.8. Since b = / and d = 7/3 are of opposite sign, so (A) y The regression line : y b y or y 8.8.4(.) y.4.98 (84) Ans. C Eplanation : b y r 0. 0.B 0.0 B 0., b b y 0.0 0. b y y 0. B 0.0 B, r 0. (8) Ans. c 3 P a g e
(86) Ans. d P 3k k k 4k 3k 3k 0k k 0.0 3 4 6 P 0. 0. 0. 0. 0. 0. P P 0. 0. 0.3 0.8 0.7 0.9 P 3.4 Epected value E( ) P 3.4 (87) Ans. a P (getting post) Where P(A) = /3 P(B) = /4 P(C) = / So P( getting post) 3 4 3 3 4 = P (selected for at least one of the post) = - P (selected for none post) = - P (A ) P(B ) P(C ) = - [-P(A)] [-P(B)] [-P(C)] (88) Ans. c A P A B = 3 4 P A A B P A B P PA 0. A B 0.6 6 (89) Ans. b (90) Ans. b Q = 0.67 = 4.6 Q 3 = +0.67 =.4 = 8 MD = 0.8 8 = 6.4 (9) Ans. a (9) Ans. c N 0 Eplanation : Total number of samples without replacement = C 90. C n (93) Ans. b 4 P a g e
(94) Ans. c P003 00 P000, 003 P 000 6000 = 400% (9) Ans. a (96) Ans. d (97) Ans. d Frequency of class = First change inclusive class 49-3 in to eclusive form So class is 48.-3. Class interval = 3.-48.= frequency of class Frequency density = class interval Frequency density (98) Ans. b (99) Ans. d (00) Ans. b Less than ogive & more than Ogive intersect at a point called MEDIAN or we can say second quartile. y 6 y 6 6 y b [coefficient of ] mean deviation of y = b mean deviation of about mean. 6 *** P a g e