Most Expected Question on Math

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  • 8/9/2019 Most Expected Question on Math

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    NO 1. Define the terminology in two or more sentences.

    a) Present value o) Minorb) True discount p)Co- factorc) Bankers gains q)Symmetric Determinantd) Bankers Discount r)Skew symmetry determinante) Bill of Exchange s)Ad jointf) Days of Grace t) Cramer rulesg) Stocks u) Row matrixh) Debenture v) Column Matrixi) Dividend w) Square matrix

    j) Authorized capital x) Diagonal matrixk) Subscribed capital y) unit Matrixl) Paid up capital z) Transpose matrixm)Share aa) Singular Matrixn) Yield bb) Cum Divided price

    No 2.Define the following terms.

    1) Mean 11) Correlation2) Median 12) Positive & Negative Correlation3) Mode 13) Simple & partial correlation4) Geometric Mean 14) Liner & non liner correlation5) Harmonic Mean 15) Scatter Diagram6) Range 16) Degree of Correlation7) Quartile deviation 17) weighted Average8) Mean deviation9) Standard deviation10)Coefficient of variation

    NO 3. Solve the problem.

    1) What is the legal due date of a bill drawn on 27th March payable 3 month after date?2) Find the banker discount on a bill for Rs 2190 discounted 32 days before legal due date

    at 5% pa.

    3) If BD is Rs 175 and TD is Rs 163 then find B.G .4) The Banker discount of a bill of Rs 195 is Rs 15 .Find the discounted value of the Bill .5) If B.D and B.G of a bill are Rs 200 & Rs 12.50 Then find T.D6) If B.V is Rs 500 and P.V is Rs 350 then find T.D7) Find the bankers discount on a bill Rs 1800,Discounted 3 month before due date at 3%pa8) Find the cost of Rs 3500 of 4% stock at 101.9) How much money can be realized by selling Rs 100 of 4% stock at 98.10)How much money can be realized by selling Rs 7200, 4% stocks at 10% premium?

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    11)How much money can be realized by selling Rs 5500, 3% stocks at 3% discount?12)How much money can be realized by selling Rs 2400, 5% stocks at 5% premium and

    Brokerage 1/8.

    13)What dividend will derived from Rs 500 of 4.5% stock.14) Which is better Investment 4% stock at 80 or 5% at 105?15) If mean and median of a moderate asymmetrical distribution are 25 and 22,Find Mode16)If mean and Mode of a moderate asymmetrical distribution are 25 and 10,Find Median .17)What is the Gm of 2, 4, and 818)What is the H.M of 2, 3, and 4?19)Find the yield 4% stock at 80.

    No 4.Slove out the following problem.

    1) Find the difference between Bankers discount and true discount on Rs 1170 due in 4month at 6.25 %.

    2) Find the present value and true discount of Rs 327 due in 18 month at 6 % SI3) What is the face value of a four month bill, when banker discount at 4 % per annum is Rs

    20.

    4) Find the T.D on a sum of Rs 1750 due in 18 month at 6% pa5) Find the difference between interest and true discount on Rs 4875 due 10 months, rate of

    interest being 10% per annum.

    6) When is the sum due if the discount on Rs 1560 be Rs 60 at 6% pa .7) The true discount and bankers gain on a certain bill of exchange due after a certain time

    are Rs 600 and Rs 50 respectively .Find the face value of the bill.

    8) Find the amount of dividend obtained by investing Rs 5700 in 125 stock at 95.9) Which is better investment? 6 5 stock at 120 or 4% stock at 80.10) How much money shall be invested for 2400,on 3% stock at 20% discount ,brokerage be

    1/8.

    11) Find the mean of of the following data.X 4 5 6

    F 2 3 1

    12) Find the mean of 200, 300, 250, 350, 500,450, 400, 600, 550, and 650

    13) Find the mean of first 10 even Numbers & first Odd Numbers.

    14) The mean mark of 100 students in a class was 72. The mean mark of boys was 75 and their

    number was 70.Find the mean mark of Girls.

    15) Calculate the G.M of 2, 4, and 8

    16) Calculate H.M of 10, 20, 40, 60, 120

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    17) Find the H.M of the following data.

    Score 2 3 4

    Frequency 1 2 3

    18) Find the Median, Q1, Q3, D6, and P20 from the following data.

    10 20 30 40 70 80 140 180 500 550

    19) Find the G.M of 3 ,6 , 24 ,48

    20)The arithmetic average of a series of 20 Item is 400.But while computing two values 450 and

    360 have been taken as 540 and 630 respectively. Find correct value of Mean .

    21) For a symmetrical distribution Q1 =32 and Q3 = 40,find value of median of the distribution .

    22) If Q1 is 25 and Q3 is 80 find coefficient of quartile deviation

    23) Find the S.D of the 80, 81, 82, 83, 84,

    24) Calculate S.D of the first ten natural numbers

    25) Find coefficient of variation when X=250, N =10 and S.D is =8

    26) The smallest and the largest observation of a series are 30 and 50 respectively, calculate the

    coefficient of range

    27) Find the Mean Deviation from the Following:

    X : 852 750 836 635

    28) Find the standard deviation of the following data

    X: 10 20 25 40 42 45 48 70 80

    29) If S.D and C.V of a statistical series is 5.53 and 35% respectively, Find Mean

    30) If mean and C.V of a statistical series is 15.6 and 35% respectively, Find S.D

    31) The highest value of a series is 150 and the coefficient of range is .875 Find the lowest value

    32) Find the quartile deviation and its coefficient from the following data.

    X : 50 51 52 53 54 55 56 57 58 59 60.No

    5 Answer the following question

    1) A bill drawn on 5th August payable 3 month after date was discounted on 27th august at10% and the amount paid was 1470.find the bill value & bankers discount .

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    2) A bill was drawn on April 14 1996 at 8 month after date and was discounted on July 24,1996 at 5% pa .If the bankers gain on the on the simple interest is Rs 2 for what sum was

    the bill drawn .

    3) If the interest of Rs 1200 is equal to the true discount on a bill of rs 1254 at 6% pa .whenthe bill is due.

    4) The bankers discount and true discount on a certain sum of money at 3% simple interestare respectively Rs 350and 325 for the same period .find the sum and the period.

    5) A difference between the interest and the true discount on a certain sum of money for 6month at 4 5 is Rs 2 .find the sum.

    6) Ashok invested Rs 10200 partly in 3% stock at Rs 79.75 and partly in 4% stock at rs109.75 ( brokerage % in each case ) if his total income earned is Rs 380.find the

    investment in each stock .

    7) A man invested some money in a 3% stock at 96 and Equal sum in a 3.5% stock at 105and further sum in a 5% at 120.if he gets an all around 3.75% on all money invested

    ,compare his investment in 5% stock with that of in 3% .8) A person sells out Rs 3700 of 35 stock at 99 and invest the proceeds there of in a 6% stockat 148. What is the alteration in his income?

    9) Calculate Mean ,median Mode S.D M.D ,Q1 Q3 and D5 and P25 from the followingdata:

    Value Frequency

    Less than 10 5

    Less than 20 15

    Less than 30 25

    Less than 40 40

    Less than 50 60Less than 60 78

    Less than 70 92

    Less than 80 100

    10)Calculate the coefficient of correlation from the following data:Mark in Eng 172 170 169 168 167 167 166 165

    Mark in Eco 171 169 172 172 168 165 168 167

    11)Find the missing frequency if A.M is 5.4 & S.D is 6X: 10 20 30 40 50 60 70 80

    F: 5 2 1 3 x 5 2 3

    12)Describe the method of calculation of standard deviation& Mean & Mode in differentseries .Also mention the merits and demerits

    13)What is Range? How it is calculated? What are the merits & demerits? What are thespecial fields where range is used?

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