Uttarakhand Technical University 2009 B.Tech Computer Science and Systems Engineering Engineering Economics - Question Paper

B. Tech. IIIrd Sem IInd Year (2010-11)

Engineering Economics

Time: 1 Hours Total Marks : 15

Note: Attempt all question. All question carry equal marks.

Q.1: Define the Engineering Economics?

Or

Explain the time value of money? (3)

Q. 2: Derive the formula for Equal-Payment-Series Compound-Amount Factor for discrete compounding interest rate.

Or

What equal annual payment must be deposited into a sinking fund to accumulate Rs60,000 in 20 years at 13% interest compounded discretely? (3)

Q. 3: What will be the required annual payment to repay a loan of Rs2500 in 3 years if interest rate 8% compounded continuously?

Or

Find the formula for Uniform-Gradient-Series Factor when interest compounded discretely? (3)

Q.4: Derive the formula for Nominal interest rate to effective interest rate when interest compounded continuously?

Or

State and derive the formula for Equal-Payment-Series Present-Worth Factor as interest compounded continuously. (3)

Q.5: How many years will be required for an investment of Rs 3000 to increase to Rs 6939 if interest is 15% compounded annually?

Or

Determine the value of i for P=Rs 300, F=Rs 525 and n=9 years? (3)

B. Tech. IIIrd Sem IInd Year (2010-11)

Engineering Economics

Time: 1 Hours Total Marks : 15

Note: Attempt all question. All question carry equal marks.

Q.1: What is the Engineering Economics?

Or

Define the following:-

(a)          Present value of money.

(b)          Future value of money.

(c)          Cash flow diagrams. (3)

Q.2: Derive the formula for Equal-Payment-Series Sinking Fund Factor for interest compounded discretely?

Or

A person who is just 30 years old is planning for his retired life. He plans to invest an equal sum of Rs 10,000 at the end of every year for the next 30 years starting from the end of next year. The bank gives 15% interest rate compounded annually. Find the maturity value of his account when he is 60 year old. (3)

Q.3: Derive the relation for Equal-Payment-Series Capital-Recovery Factor?

Or

Consider the following cash flow diagram. Find the total amount at the end of the 10^th year at an interest rate of 12% compounded annually.

0 1 2 3 4 10

(3)

Q.4: Define the formula for continuous compounding interest rate?

Or

Find the relation for Equal-Payment-Series Sinking Fund Factor for continuous compounding interest. (3)

Q.5: What is the present value of the geometrically decreasing series of payment when a first year base of Rs. 9000 decreasing by 10% per year to year 10 with an interest rate of 17%?

Or

What annual equal payment series is necessary to repay the following decreasing series of payment when a series of 10 end of year payments that begins at Rs. 6000 and decreases at the rate of Rs. 200 a year with 12% interest compounded annually? (3)

B. Tech. IIIrd Sem IInd Year (2010-11)

Mathematics IIIrd (Machenical)

Time: 1 Hours Total Marks : 30

Note: Attempt all question

Q1:- finf Karl Pearsons coefficient of skewness for the following data.

Or

Find the relation between and . (7)

Q 2:- Find the moment generating function of the continu1ous normal distribution given by

; , Or

Find the moment generating function of the exponential distribution; ,

Hence find its mean and standard. (8)

Q3:- Use least square method to fit a curve of the form to the following data:

Or

Discuss the least square method for straight line. (7)

Q4:- Calculate Karl Pearsons coefficient of correlation for the data given below:

Or

Establish the formula where r is the correlation coefficient between x and y. (8)