Page 1 : Test Series: October 2021, , MOCK TEST PAPER 1, FOUNDATION COURSE, PAPER 3: BUSINESS MATHEMATICS, LOGICAL REASONING AND STATISTICS, Time: 2 Hours Marks: 100, Part A: Business Mathematics and Logical Reasoning, 1 te y=36, pening (2+1):(4-2), x yY x y, , (a) 2, , (bo) 4, , (c) 6, , (a) 8, 2. if A: B=3:5 and C= §:4 , C:D = 2:3 and D is 50% more than E, find the ratio between A and E, , (a) 2:3, , (bo) 3:4, , (ce) 3:5, , (a) 4:5, 3. Find the value of 6561 + V6561 + {6561, , (a) 81, , (bo) 93, , (c) 121, , (a) 243, , 4. Find the value of log*— + log> + log, y z x, , (a) 1, (o) 0, «) 1, (a) 2, 5. gp 2x2 x16” ) een pevekecta, 2"x«4 4, (a) 1, o) 3, , 3, (c) 2, , © The Institute of Chartered Accountants of India

Page 2 : (a) 1and -2/3, (b) -1 and 2/3, (ce) -1and-2/3, (@) 1 and 2/3, , 7. A dealer has only & 5760 to invest in fans (x) and sewing machines (y). The cost per unit of fan and, sewing machine is 7360 and % 240 respectively. This can be shown by:, , (a) 360x + 240y > 5760, (b) 360x + 240y < 5760, (c) 360x + 240y = 5760, (@) none of these, 8. The point of intersection between the lines 3x+ 4y = 7 and 4x -y = 3 lie in the, (a) 1" quadrant., (b) 2” quadrant., (c) 3" quadrant, (a) 4" quadrant., 9. The roots of equation 9? - 6.3«'+1=0 are, (a) 2, (bo) 2, (ce) V2, (d) 0, 10. The roots of the equation x'—x+1=0 are, (a) Imaginary and unequal, (b) Real and unequal, (c) Real and equal, (a) Imaginary and equal, 11, If one root of the quadratic equation is 2+3, the equation is, (a) x -4x+1980, o) 4 4xet-0, (c) x’ =4x-190, (d) none of these, , © The Institute of Chartered Accountants of India

Page 3 : 12., , 13,, , 4., , 15., , 16,, , 17,, , 18., , W t= 3 ate mens, (a) 1, &) 2, () 3, (@) 0, , A sum of 746,875 was lent out at simple interest and at the end of 1 year 8 months, the total amount, was 7 50,000. Find the rate of interest per annum., , (a) 8%, (bo) 4%, (c) 12%, (d) None, , A sum of money amount to % 6,200 in 2 years and & 7,400 in 3 years. The principal and rate of interest, are, , (a) 23,800, 31.57%, , (b) % 3,000, 20%, , (c) % 3,500, 15%, , (8) none of these, , The effective rate of interest corresponding to a nominal rate 3% p.a payable half yearly is, (a) 32%pa, , (b) 3.25% pa, , (c) 3.0225% p.a, , (d) none of these, , A sum of money gets doubled in 5 years at X% simple interest. If the interest was Y%, the sum of, money would have become ten-fold in thirty years, What is Y — X (in %), , (a) 10, (bo) 5, (c) 8, (d) None of the above, , The nominal rate of growth is 17% and inflation is 9% for the five years. Let P be the Gross Domestic, Product (GDP) amount at the present year then the projected real GDP after 6 years is, , (a) 1.587P, (b) 1.921P, (c) 1.403 P, (¢) 251P, , The difference between Compound Interest and Simple interest on a certain sum for 2 years at 6%, p.a. is & 13.50. Find the sum, , © The Institute of Chartered Accountants of India

Page 4 : 21,, , 22., , 23., , 24., , (a) 3750, , (b) 2750, , (c) 4750, , (d) none, , The sum required to eam a monthly interest of Rs 1200 at 18% per annum Simple interest is, (a) © 50,000, , (b) 7 60,000, , (c) % 80,000, , (d) none of these, , The compound interest earned by a money lender on % 7,000 for 3 years if the rate af interest for 3, years are 7%, 8% and 6.5% respectively is, , (a) 1750, (b) 1800, (c) & 1776, (@) none of these, , Find the present value of an annuity of 7 1,000 payable at the end of each year for 10 years, if the, money is worth 5% effective., , (a) %7,724, , (>) = 7000, , (c) = 8000, , (d) none of these, , The present value of annuity of 73,000 per annum for 15 years at 4.5% p.a C.\. annually is, (a) © 23,609.41, , (ob) % 32,214.60, , (c) % 32,908.41, , (d) none of these, , A person desires to create a fund to be invested at 10% Cl per annum to provide for a prize of % 300, every year. Using V = all find V and V will be, , (a) 22,000, (b) % 2,500, (c) 73,000, (d) none of these, , The future value of annuity of $2000 for 5 years at 5 % compounded annually is given (in nearest 2), as, , (a) 11,051, (>) © 21,021, (c) © 1,56,24, (6) %61254, , © The Institute of Chartered Accountants of India

Page 5 : 25., , 27., , Hv., , A Maruti Zen cost % 3,60,000. Its price depreciates at the rate of 10% of a year during the first two, years and at the rate of 20% in third year. Find the total depreciation., , (a) % 1,26,720, , (ob) 7% 1,15,620, , (c) 2 1,25,000, , (a) 2 1,10,520, , Find the value of n if (n+1)! = 42 (n~1)!, (a) 6, , (bo) -7, , () 7, , (@) 6, , If "Py 2") =3:4 then value of n is, (a) 15, , (bo) 14, , (ce) 13, , (a) 12, , A question paper contains 6 questions, each having an alternative. The number of ways an examiner, can answer one or more questions is, , (a) 720, , (b) 728, , (c) 729, , (d) none of these, *C,+'C,+'C,+'C,+'C, is equal to, (a) 30, , (b) 31, , (ce) 32, , (9) 35, , The second term of a G P is 24 and the fifth term is 81. The series is, (a) 16, 36, 24, 54, , (b) 24, 36, 53... ..., , (c) 16, 24, 36, 54,....., , (d) none of these, , The sum of progression (a+b), a, (@~b)........n term is, , (a) 5 avin), , , , ©) 5 (2ae(3-nyb), , © The Institute of Chartered Accountants of India