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Recent questions tagged sec-c
Questions
Calculate the lower $(Q_1$) and upper $(Q_3)$ quartiles for the following distribution :
isc
class12
modelpaper
2004
part-2
sec-c
q12
q12-b
asked
Apr 19, 2013
by
sreemathi.v
0
answers
The number of letters in hundreds received in a town on each day of a fortnight is given below :
isc
class12
modelpaper
2004
part-2
sec-c
q12
q12-a
asked
Apr 19, 2013
by
sreemathi.v
0
answers
The mathematical aptitude score (MAS) of ten computer programmers with job performance rating (JPR) is given below.Calculate Spearman's rating of rank correlation and state whether those who have aptitude for maths are likely to be better programmers.
isc
class12
modelpaper
2004
part-2
sec-c
q11
asked
Apr 19, 2013
by
sreemathi.v
0
answers
A coin is tossed 5 times.What is the probability of getting at least three heads?
isc
class12
modelpaper
2005
sec-c
q15
q15-b
asked
Apr 18, 2013
by
sreemathi.v
0
answers
A manufacturing firm produces steel pipes in three plants A,B and C with daily production of 500,1000 and 2000 units respectively.The fractions of defective steel pipes output produced by the plants A,B and C are respectively .005, .008 and .010.If a pipe is selected from a day's total production and found to be defective,find out the probability that it came from the first plant.
isc
class12
modelpaper
2005
sec-c
q15
q15-a
asked
Apr 18, 2013
by
sreemathi.v
1
answer
A company is selling a certain product.The demand function of the product is linear.The company can sell 2000 units when the price is Rs.8 per unit and when the price is Rs.4 per unit,it can sell 3000 units,Determine :
isc
class12
modelpaper
2005
sec-c
q14
q14-b
asked
Apr 18, 2013
by
sreemathi.v
1
answer
How much should a company set aside at the end of each year if it has to buy a machine expected to cost Rs.100,000 at the end of 4 years and the rate of interest is 5% per annum compounded annually?
isc
class12
modelpaper
2005
sec-c
q14
q14-a
asked
Apr 18, 2013
by
sreemathi.v
0
answers
Find the amount of an ordinary annuity if payment of Rs.600.00 is made at the end of every quarter for 10 years at the rate of 4% per year compounded quarterly?
isc
class12
modelpaper
2005
sec-c
q13
q13-b
asked
Apr 18, 2013
by
sreemathi.v
0
answers
A bill of exchange for Rs.750.00 was drawn on 3rd April,2000 payable at 3 months after date.It was discounted on 24th April,2000 at 5% per annum.What was the discounted value of the bill?
isc
class12
modelpaper
2005
sec-c
q13
q13-a
asked
Apr 18, 2013
by
sreemathi.v
0
answers
A company has two plants which manufacture scooters.Plant I manufactures 80% of the scooters while Plant II manufactures 20% of the scooters.At plant I ,85 out of 100 scooters are rated as being of standard quality,while at Plant II only 65 out of 100 scooters are rated as being of standard quality.If a scooter is of standard quality,what is the probability that it came from Plant I?
isc
class12
modelpaper
2006
sec-c
q15
q15-b
asked
Apr 17, 2013
by
sreemathi.v
1
answer
Four dice are thrown simultaneously.If the occurrence of an odd number in a single dice is considered a success,find the probability of at most 2 successes.
isc
class12
modelpaper
2006
sec-c
q15
q15-a
asked
Apr 17, 2013
by
sreemathi.v
0
answers
A television manufacturer finds that the total cost for the production and marketing of $x$ number of television sets is : $c(x)=300x^2+4200x+13,500.$Each product is sold for Rs.8,400.Determine the break-even points.
isc
class12
modelpaper
2006
sec-c
q14
q14-b
asked
Apr 17, 2013
by
sreemathi.v
2
answers
Mr.Agarwal buys goods worth Rs.2,800 payable 8 months. Hence he pays Rs.400 at the end of the second month and Rs.600 at the end of the third month.Find the number of months after which the balance will become due.
isc
class12
modelpaper
2006
sec-c
q14
q14-a
asked
Apr 17, 2013
by
sreemathi.v
0
answers
The price of a tape recorder is Rs. 1,561.A person purchases it by paying Rs. 300 in cash and the balance is to be paid with due interest in 3 half yearly equal installments.If the dealer charges interest at the rate of 10% per annum compounded half yearly,find the value of each installment.
isc
class12
modelpaper
2006
sec-c
q13
q13-b
asked
Apr 17, 2013
by
sreemathi.v
0
answers
Find the Banker's discount and the discounted value of a bill worth Rs.600 drawn on May 15,2005 for 3 months and discounted on July 20,2005 at 5% per annum.
isc
class12
modelpaper
2006
sec-c
q13
q13-a
asked
Apr 17, 2013
by
sreemathi.v
0
answers
The fixed cost of a new product is Rs.18,000 and the variable cost is Rs.550 per unit.If the demand function $p(x)=4000-150x$,find break even points.
isc
class12
modelpaper
2007
sec-c
q14
q14-b
asked
Apr 16, 2013
by
sreemathi.v
1
answer
An insurance company insured 1500 scooter drivers,2500 car drivers and 4500 truck drivers.The probability of a scooter ,a car and a truck meeting with an accident is 0.01,0.02 and 0.04 respectively.If one of the insured persons meets with an accident,find the probability that he is a scooter driver.
isc
class12
modelpaper
2007
sec-c
q15
q15-b
asked
Apr 16, 2013
by
sreemathi.v
1
answer
In a binomial distribution,the sum of its mean and the variance is 1.8.Find the probability of two successes if the event was conducted 5 times.
isc
class12
modelpaper
2007
sec-c
q15
q15-a
asked
Apr 16, 2013
by
sreemathi.v
0
answers
Mr.Mohan took a loan of Rs. 7,500 on 1st Jan.2005 and agreed to pay Rs.2,250 after 1month,Rs.2,400 after 3 months,Rs.3000 after 4 months and Rs.750 after 5 months in full redemption of his debit.Find the rate of interest charged.
isc
class12
modelpaper
2007
sec-c
q14
q14-a
asked
Apr 16, 2013
by
sreemathi.v
0
answers
A person borrowed a sum of money and paid it back in 3 equal annual installments of Rs.2,160 each.If the rate of interest charged is 20% p.a. compounded annually,calculate :(i)The sum borrowed (ii) The total interest charged.
isc
class12
modelpaper
2007
sec-c
q13
q13-b
asked
Apr 16, 2013
by
sreemathi.v
0
answers
A bill was drawn on 14th June 2006 at 8 months after date and was discounted on 24th September 2006 at 5% p.a.If the banker's gain on the basis of simple interest is Rs. 3,calculate the sum for which the bill was drawn.
isc
class12
modelpaper
2007
sec-c
q13
q13-a
asked
Apr 16, 2013
by
sreemathi.v
0
answers
A class consists of 50 students out of which there are 10 girls.In the class 2 girls and 5 boys are rank holders in an examination.If a student is selected at random from the class and is found to be a rank holder,what is the probability that the student selected is a girl?
isc
class12
modelpaper
2008
sec-c
q15
q15-b
asked
Apr 15, 2013
by
sreemathi.v
1
answer
Eight coins are thrown simultaneously.
isc
class12
modelpaper
2008
sec-c
q15
q15-a
asked
Apr 15, 2013
by
sreemathi.v
0
answers
The average cost function associated with producing and marketing $x$ units of an item is given by $AC=2x-11+\large\frac{50}{x}$.Find : (i) The total cost function and marginal cost function. (ii) The range of values of the output $x$ for which AC is increasing.
isc
class12
modelpaper
2008
sec-c
q14
q14-b
asked
Apr 15, 2013
by
sreemathi.v
0
answers
A manufacturer produces two types of steel trunks.He has two machines,A and B.The first type of trunk requires 3 hours on machine A and 3 hours on machine B.The second type requires 3 hours on machine A and 2 hours on machine B.Machines A and B can work at most for 18 hours and 15 hours per day respectively.He earns a profit of Rs. 30 per trunk on the first type of trunk and Rs. 25 per trunk on the second type.Formulate a Linear Programming Problem to find out how many trunks of each type he must make each day to maximise his profit.
isc
class12
modelpaper
2008
sec-c
q14
q14-a
asked
Apr 15, 2013
by
sreemathi.v
1
answer
Mr.Aggarwal buys a house at Rs. 30,00,000 for which he agrees to make equal payments at the end of each year for 10 years.If money is worth 10% p.a., find the amount of each installment.[Take $(1.1)^{-10}=0.3855]$
isc
class12
modelpaper
2008
sec-c
q13
q13-b
asked
Apr 15, 2013
by
sreemathi.v
0
answers
The banker's gain on a certain bill due 6 months hence is Rs. 100,the rate of interest being 10% per annum.Find the face value of the bill.
isc
class12
modelpaper
2008
sec-c
q13
q13-a
asked
Apr 15, 2013
by
sreemathi.v
0
answers
A propeller costs Rs. 1,80,000 and its effective life is estimated to be 10 years.A sinking fund is created for replacing the propeller by a new model at the end of its life time,when its scrap realizes a sum of Rs. 34,000 only.The price of the new model is estimated to be 30% more than the price of the present one.What amount should be put into the sinking fund at the end of each year,if it accumulates at 4% per annum compound interest?(Take $(1.04)^{10}=1.480$).
isc
class12
modelpaper
2009
sec-c
q15
15-b
asked
Apr 15, 2013
by
sreemathi.v
0
answers
Calculate the index number for the year 2006 with 1996 as the base year by the weighted average of price relatives method from the following data.
isc
class12
modelpaper
2009
sec-c
q15
q15-a
asked
Apr 15, 2013
by
sreemathi.v
0
answers
The cost of manufacturing of certain items consists of Rs. 1600 as overheads,Rs. 30 per item as the cost of the material and the labour cost $Rs. \large\frac{x^2}{100}$ for x items produced.How many items must be produced to have a minimum average cost?
isc
class12
modelpaper
2009
sec-c
q14
q14-b
asked
Apr 15, 2013
by
sreemathi.v
0
answers
A new cereal,formed of a mixture of bran and rice,contains at least 88 grams of protein and at least 36 milligrams of iron.Knowing that bran contains 80 grams of protein and 40 milligrams of iron per kilogram,and rice contains 100 grams of protein and 30 milligrams of iron per kilogram,find the minimum cost of producing a kilogram of this new cereal if bran costs Rs. 28 per kilogram and rice costs Rs. 25 per kilogram.
isc
class12
modelpaper
2009
sec-c
q14
q14-a
asked
Apr 15, 2013
by
sreemathi.v
0
answers
An iPod is purchased on installment basis,such that Rs. 8,000 is to be paid on the signing of the contract and four yearly installments of Rs. 3000 each,payable at the end of the first,second,third and fourth years.If compound interest is charged at 5% per annum,what would be the cash price of the iPod?(Take $(1.05)^{-4}=0.8227).$
isc
class12
modelpaper
2009
sec-c
q13
q13-b
asked
Apr 15, 2013
by
sreemathi.v
0
answers
A bill of Rs. 84,150 is drawn on 22nd April,2002 at 11 months and is discounted on 11th january 2003.Find the banker's gain if the rate of interest is 10%.
isc
class12
modelpaper
2009
sec-c
q13
q13-a
asked
Apr 15, 2013
by
sreemathi.v
0
answers
Consider the following data :
isc
class12
modelpaper
2010
sec-c
q15
q15-b
asked
Apr 12, 2013
by
sreemathi.v
0
answers
The index number for the following data,for the year 2008,taking 2004 as base year was found to be 116.The simple aggregate method was used for calculation.Find the numerical values of x and y if the sum of the prices in the year 2008 is Rs. 203.
isc
class12
modelpaper
2010
sec-c
q15
q15-a
asked
Apr 12, 2013
by
sreemathi.v
0
answers
The average cost function AC for a commodity is given by $AC=x+5+\large\frac{36}{x}$ in terms of output x.Find the :
isc
class12
modelpaper
2010
sec-c
q14
q14-b
asked
Apr 12, 2013
by
sreemathi.v
0
answers
A bill of exchange for Rs. 722 was drawn on the 3rd April,2009,payable three months after date.It was discounted on 15th April,2009 at 4.75% per annum.What was the discounted value of the bill?
isc
class12
modelpaper
2010
sec-c
q14
q14-a
asked
Apr 12, 2013
by
sreemathi.v
0
answers
At the beginning of each quarter,a sum of Rs. 1,500 is deposited into a savings account that pays 12% per annum compounded quarterly.Find the amount in the account at the end of four years.
isc
class12
modelpaper
2010
sec-c
q13
q13-b
asked
Apr 12, 2013
by
sreemathi.v
0
answers
A company produces two types of items,P and Q.Manufacturing of both items requires the metals gold and copper.Each unit of item P requires 3 gms of gold and 1 gm of copper while that of item Q requires 1 gm of gold and 2 gms of copper.The company has 9 gms of gold and 8 gms of copper in its store.If each unit of item P makes a profit of Rs. 50 and each unit of item Q makes profit of Rs. 60,determine the number of units of each item that the company should produce to maximize profit.What is the maximum profit?
isc
class12
modelpaper
2010
sec-c
q13
q13-a
asked
Apr 12, 2013
by
sreemathi.v
0
answers
The profit of a soft drink firm (in thousands of rupees) during each month of the year is as given below :
isc
class12
modelpaper
2011
sec-c
q15
q15-b
asked
Apr 11, 2013
by
sreemathi.v
0
answers
The price quotations of four different commodities for 2001 and 2009 are as given below.Calculate the index number for 2009 with 2001 as the base year by using weighted average of price relative method.
isc
class12
modelpaper
2011
sec-c
q15
q15-a
asked
Apr 11, 2013
by
sreemathi.v
0
answers
Given that the total cost function for x units of a commodity is : $C(x)=\large \frac{x^3}{3}\normalsize +3x^2-7x+16$
isc
class12
modelpaper
2011
sec-c
q14
q14-b
asked
Apr 11, 2013
by
sreemathi.v
1
answer
If the difference between Banker's discount and True discount of a bill for 73 days at 5% per annum is Rs.10,find (i) the amount of the bill (ii) the banker's discount.
isc
class12
modelpaper
2011
sec-c
q14
q14-a
asked
Apr 11, 2013
by
sreemathi.v
0
answers
A manufacturer manufactures two types of tea-cups,A and B.Three machines are needed for manufacturing the tea cups.The time in minutes required for manufacturing each cup on the machines is given below :
isc
class12
modelpaper
2011
sec-c
q13
q13-b
asked
Apr 11, 2013
by
sreemathi.v
1
answer
The price of a tape recorder is Rs. 1,661.A person purchases it by making a cash payment of Rs. 400 and agrees to pay the balance with due interest in 3 half-yearly equal installments.If the dealer charged interest at the rate of 10% per annum compounded half-yearly.Find the value of the installment.
isc
class12
modelpaper
2011
sec-c
q13
q13-a
asked
Apr 11, 2013
by
sreemathi.v
0
answers
Calculate the 5 yearly moving averages of the number of students in a college from the following data and plot them on a graph paper :
isc
class12
modelpaper
2012
sec-c
q15
q15-b
asked
Apr 11, 2013
by
sreemathi.v
0
answers
Find the consumer price index number for the year 2010 using year 2000 as the base year by using method of weighted aggregates :
isc
class12
modelpaper
2012
sec-c
q15
q15-a
asked
Apr 10, 2013
by
sreemathi.v
0
answers
If total cost function is given by $C=a+bx+cx^2$,where x is the quantity of output.Show that : $\frac{d}{dx}(AC)=\frac{1}{x}(MC-AC),$where $MC$ is the marginal cost and $AC$ is the average cost.
isc
class12
modelpaper
2012
sec-c
q14
q14-b
asked
Apr 10, 2013
by
sreemathi.v
1
answer
A bill of Rs. 1000 drawn on 7th May,2011 for six months was discounted on 29th August,2011 for cash payment of Rs. 988.Find the rate of interest charged by the bank.
isc
class12
modelpaper
2012
sec-c
q14
q14-a
asked
Apr 10, 2013
by
sreemathi.v
0
answers
A machine costs Rs 97,000 and its effective life is estimated to be 12 years.If scrap realises Rs. 2,000 only,what amount should be retained out of profits at the end of each year to accumulate at compound interest of 5% per annum in order to buy a new machine after 12 years?(use $1.05^{12}=1.769$)
isc
class12
modelpaper
2012
sec-c
q13
q13-b
asked
Apr 10, 2013
by
sreemathi.v
0
answers
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