Thursday, December 3, 2009

mth302 mid term 2009

24 MCQs
(Total Marks for each MCQ: 1)
3 Subjective Questions:
Q #26:-Mr. A purchases two commodities for Rs. 600. If he sale first for 22% profit and 2nd for 8% Loss, then what is the selling price of 2nd Commodity?
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Question No: 1 ( Marks: 1 ) - Please choose oneStore A marked down a $ 50 perfume to $ 40 with markdown of $10 The % Markdown is ► 10%► 20% ► 30%► 40%Question No: 2 ( Marks: 1 ) - Please choose oneGiven Net price of shirt = $20 , Discount = 10% ,List price will ► $22 ► $24 ► $26 ► $30 Question No: 3 ( Marks: 1 ) - Please choose oneWhich is the correct syntax for the determinant of a matrix given by the following array► =DETERM(B4:E7)► =MDTERM(B4:E7)► =MDETERM(B4:E7)► =MDETERM(B4;E7)Question No: 4 ( Marks: 1 ) - Please choose oneVDB returns the depreciation of an asset for ► Zero period► One period► Two period► Any arbitrary periodQuestion No: 5 ( Marks: 1 ) - Please choose oneIf the cost & selling price of a pen are Rs.12 & Rs.15 respectively, profit percentage is:► 33.33%► 25%► 20%► 10%Question No: 6 ( Marks: 1 ) - Please choose oneThis example returns the depreciation for an asset that costs Rs. 10,000, with a salvage value of $8,000. The useful life of the asset is 5 years. The depreciation is being calculated for the third year, and there are 10 months in the first year. ► =DB (10000, 5, 8000, 3, 10)► =DB (10000, 8000, 5, 10, 3)► =DB (10000, 8000, 5, 3, 10) ► =DB (10000, 8000, 10, 3, 5)Question No: 7 ( Marks: 1 ) - Please choose oneWhich of the following functions is not related to financial analysis?► AMORDEGRC► AMORLINC► CUMIPMT► MDETERMQuestion No: 8 ( Marks: 1 ) - Please choose one(2) ^ -2 = ) 0.25…….. ► ► ► ► Question No: 9 ( Marks: 1 ) - Please choose oneDimension of a matrix means►Column space►Row space ►Order of the matrix►None of theseQuestion No: 10 ( Marks: 1 ) - Please choose oneIf there is a -30% change in the price of an item, what does the negative sign show?►The price is increasing.►The price is decreasing.►The price has low rate of change.►None of the above.Question No: 11 ( Marks: 1 ) - Please choose oneAccording to taxation rules; the amount of allowances is treated tax free if it is upto 50% of the basic salary.►►►►Question No: 12 ( Marks: 1 ) - Please choose oneWrite a formula to find the simple interest (I) if $5000 is invested at 4% for 2 years.►I=PRT►I=P+R+T►I=PT►I=P(R+T)Question No: 13 ( Marks: 1 ) - Please choose oneEvery percentage can be converted into:►Decimal ►Ratio►Proportion►Both decimal & ratioQuestion No: 14 ( Marks: 1 ) - Please choose oneMonthly installments of a leased car are calculated by using the techniques of:► Simple interest method► Compound interest method► Annuity► Hit & trial methodQuestion No: 15 ( Marks: 1 ) - Please choose oneSuppose that you are spending 1500 dollars in an investment and Accumulated factor is 15 then Accumulated Value will be► 22550► 22500► 21000► 22510Question No: 16 ( Marks: 1 ) - Please choose oneWhat is the interest on Rs. 1600 for one year at the rate %?► 65► 56► 75► 90Question No: 17 ( Marks: 2 ) A man borrows $39000 for 1and half year at a rate of 1.65%. What is the simple interest he has to pay? Simple interest is given byI= P*R*T/100P= principal = $39000R= interest rate= 1.65%T= 1.5 yearInterest, I =(39000 * 1.65 *1.5)/100 = Rs 965.25Question No: 18 ( Marks: 2 ) If Cost price = 2000RsSelling price = 6500RsThen what will be %Markup on cost? MUC= S- C (Rs markup on cost = selling price- cost price)= 6500-2000 = Rs 4500% markup on cost = (MuC/cost price) * 100 = (4500/2000) *100= 225%Question No: 19 ( Marks: 3 ) Write the output of B9, B10, B11 and B12. If you think the formula is incorrect write "Error" in output.ANSWER:The output of =sum(B3,B4,B5,B6) = 82=multiply(B5,B6) will not give result because multiply is not a excel functionB4/B6 is not a formula because in excel formula must start with "="=B4% will return 0.2Question No: 20 ( Marks: 5 ) A gold chain is sold for Rs. 6500 at a gain of 25%. Find the profit.Selling price = 6500Profit = 25%Profit in Rs= (6500*25)/100= Rs 1625Question No: 21 ( Marks: 10 ) For the following matrices perform the indicated operation, if possible.(a) (b) (c) a)A = 2 0 -3 2 + B = 0 -4 -7 2-1 8 10 -5 12 3 7 9A+B= 2+0 0-4 -3-7 2+2-1+12 8+3 10+7 -5+9A+B = 2 -4 -10 411 11 17 4b)B-A= 0-2 -4-0 -7-(-3) 2-212-(-1) 3-8 7-10 9-(-5)B-A= -2 -4 -4 013 -5 -3 14c) A+C is not conformable for addition because for addition number of rows and columns of A must be equal to number of rows and columns of C_________________
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Question No: 1 ( Marks: 1 ) - Please choose oneA, B and C play cricket. A's runs are to B's runs and B's runs are to C's as 3:2. They get altogether 342 runs.How many runs did A make?► 162► 108► 72► 112Question No: 2 ( Marks: 1 ) - Please choose oneThe price of a P4 computer was $12000 last year. What is the price of the computer for this year if the price is decreased by 10%?► $12000► $12500► $10800► $9000Question No: 3 ( Marks: 1 ) - Please choose oneFour friends take an IQ test. Their scores are 96, 100, 106, 114. Which of the following statements is true?► The mean is 103.► The mean is 104.► The median is 100.► The median is 106.Question No: 4 ( Marks: 1 ) - Please choose onePercentage is a ratio of given number with standard number:► 100► Same number► 1000► 10Question No: 5 ( Marks: 1 ) - Please choose oneThe Virtual University of Pakistan is a growing distant learning university of Pakistan. The number of students in the university is increasing each year. The number of registered students in a course related to business math last year was 7113 and it is increased up to 9242 this year. What is the percentage increase in the number of students?► 23%► 30%► 18%► 42%Question No: 6 ( Marks: 1 ) - Please choose oneIf A and B are any two matrices of order and respectively and m>n and pp► m<=q► q=p► n=pQuestion No: 7 ( Marks: 1 ) - Please choose oneThe price at which investors buy or sell a share of stock at a given time is referred as► Face value► Market value► Accumulated value► Earning valueQuestion No: 8 ( Marks: 1 ) - Please choose oneGross salary is also called Net salary► True► FalseQuestion No: 9 ( Marks: 1 ) - Please choose oneCan we subtract a positive integer k from the identity matrix?► Yes► NoQuestion No: 10 ( Marks: 1 ) - Please choose oneNet price =► List price +trade discount► List price - trade discount► List price /trade discount► List price * trade discountQuestion No: 11 ( Marks: 1 ) - Please choose oneDivision. Symbol: / is a type of► Comparison operators ► Concatenation operator ► Reference operators ► Arithmetic operatorsQuestion No: 12 ( Marks: 1 ) - Please choose oneGiven : List Price =5500Rs , Discount = 850Rs, then Net Cost Price will be► 6350 Rs6350 Rs► 5508 Rs5508 Rs► 5585 Rs► 4650 RsQuestion No: 13 ( Marks: 1 ) - Please choose oneTo convert a number in percent (%) from a fraction, we do which of the following operation: ► add by 100► subtract by 100► multiply by 100► divide by 100 Question No: 14 ( Marks: 1 ) - Please choose oneIf is the matrix of dimension and is the identity matrix of dimension . Then which of the following is true► AI = I► AI = A► A + I = A► A + I = I_________________
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Question No: 22 ( Marks: 3 )The price of an item was Rs. 1500 and increased by 15%. What is the new price?1500*1.15=1725Question No: 23 ( Marks: 5 )The average marks of 10 students in mathematics are 45. Suppose two of them are excluded from the list. If both have the same marks, what will be the marks of each excluded student, if average marks of the remaining 8 students are 40? total marks of 10 students = 45 * 10 = 450total marks of 8 students = 40 * 8 = 320total marks of 2 students = 450 - 320 = 130marks of each of 2 = 130/2 =65Question No: 24 ( Marks: 10 )It is advised by the exam department of an institute to the assistant to develop a structure of marks obtained by three students in three different subjects for very quick view & analysis with the following instructions to be followed strictly as;1) marks obtained by EACH student in EVERY subject2) marks in EACH subject be obtained by EVERY student.Also describe & justify the optimality of the structure. If such model is possible then suggest its further extension for numerous numbers of students.I think solution is an excel sheetQuestion No: 22 ( Marks: 3 )Calculate compound interest earned on Rs. 2250 invested at 8% per annum for 6 yearscompound interest = (1-((1.08)^6))*2250=1320Question No: 23 ( Marks: 5 )If the Basic salary of an employee is Rs 8000 and Allowances are Rs 4,000 . What are the cost on account of 20 casual and 10 sick leaves per year if normal working days per month are 26? Gross salary= 8000+4000=12000salary per day =15000/26=576.92cost os 20 casual = 11538cost of 10 sick =5769Question No: 24 ( Marks: 10 )The price of medicine inventory is Rs. 500,000.The series discounts are 20%, 10%, 5%.What is the single equivalent discount rate?if Invoice was dated May 1st and 10% discount is offered if invoice is paid up to 10thMay. What will be net payment for invoice value of Rs. 500,000 if paid up to 10th May.single discount =1-(0.8*0.9*0.95)-1=31.6%discounted price =500,000*0.8*0.9*0.95=342000 because payed within perioda)In what time will Rs.3000 amount to 3646.50 at 5% compounded annually? ?( Round your answer to 0 decimal places)Marks 5S=P(1+r/100)^ns/p = (1+0.05)^nS/P=(1.05)^nlog(S/P)=n*log(1.05)n=log(S/P)/Log(1.05)n=log(3646.5/3000)/log(1.05)n=4verify = 3000*(1.05)^4 =3646.5) Three partners invested Rs.18000, Rs.16500 & 12500 respectively. If the third partner got Rs.4625 as profit.What was1) The total profit.2) Profit of Ist & 2nd partners.Total profit = (18000+16500+12500)/12500*4625 =17390profit of first = 18000/12500*4625 =6660profit of 2nd =16500/12500*4625 =6105b) Use FV function of Excel to find future value when you have to pay a specific amount in number of payments is 42 at a rate of 2500 Rs per payment and annual interest rate is 15% and payment is due at the beginning of period.n=42pmt =2500rate=0.15assuming monthly payment=FV(0.15/12,42,2500,,1)=ROUND(FV(0.15/12,42,2500,,1),0)=138705_________________

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