## Quantitative Techniques Question Paper of MBA Semester 1, Download Question Paper 14

• Thursday, November 26, 2015

Roll No………
Total No. of Questions: 07

MBA/MBA (IB) (Sem.-1st)
QUANTITATIVE TECHNIQUES
Subject Code: MB-104 (2008 & onward Batches)
Paper ID: [C0167]

Time: 3 Hrs.                                                                           Max. Marks: 60
Instruction to Candidates:
1.     Section-A is Compulsory.
2.     Attempt any Four questions from Section-B.

SECTION-A

1.     (a) Discuss the use of Regression Analysis in Business Management.
(b) Using Principle of Mathematical Induction, check that
2+6+10+14+…………+2[2n-1]= 2n2+1; nN.
(c) Discuss Trend Method in Time Series Analysis.
(d) If A= and A+2B=, find x and y.
(e) List the relevance of selecting Base Period in Index Numbers.
(f) A & B are 2 independent events. The probabilities that both occur simultaneously is 1/6 and the probability that neither occurs in 1/3. Find the probabilities of occurrence of A & B respectively.
(g) Discuss utility of Spearman’s Rank Correlation method.

(h) Discuss Significance Level and Degrees of Freedom in Hypothesis Testing.
(i) What are the difference errors in Hypothesis Testing?

SECTION-B
2.     The prices (in Rs.) of three commodities X, Y, and Z are x, y and z respectively. A purchases 4 units of Z and sells 3 units of  X and 5 units of  Y. B purchases 3 units of  Y and sells 2 units of  X and 1 unit of Z, C purchases 1 unit of X and sells 4 units of Y and 6 units of Z. In the process A, B and C earn Rs. 6000, Rs. 5000 and Rs. 13000 respectively.
Using matrices, find the prices per unit of the three commodities.
3.     By Mathematical Induction principle, prove that  for all positive integers in.
4.     Construct the consumer price index number for 2010 on the basis of data of 2000 from the following data using.
(a)  Family Budget Method
(b) Aggregative Expenditure Method
 Commodities Rice Wheat Pulses Ghee Oil Weights 40 20 15 20 5 Price (per Unit) In 2000(Rs.) 16.00 40.00 0.50 5.12 2.00 Price (per Unit) In 2010 (Rs.) 20.00 60.00 0.50 6.25 1.50

5.     The data in the following table related to the weekly maintenance cost (in Rs.) to the age (in months) of 10 machines in a company. Using regressional analysis, estimate the maintenance cost for the machine which is 72 months old.
 Machine 1 2 3 4 5 6 7 8 9 10 Age (Months) 5 10 15 20 30 30 30 50 50 60 Cost (Rs.) 190 240 250 300 310 355 300 300 350 395

6.     In order to test whether declaration of dividends has had any effect on the market price of shares of companies, a random sample of 8 companies was taken, from companies which have declared at least 15% dividends.  The data regarding the share prices of the sample companies is given as below.
 1 2 3 4 5 6 7 8 Market Price 10 days before dividends were declared 70 65 112 58 25 147 95 68 Market Price 10 days after dividends were declared 80 85 110 64 32 159 100 70

Can we say that the increase in the average market price after declaration of dividends is significant (at 5% significance level)?
7.     A progressive farmer uses 3 types of fertilizers on 4 different fields. The yield figures per field are given below.
 YIELD TOTAL Fertilizers Field A Field B Field C Field D Nitrogen 6 4 8 6 24 Potash 7 6 6 9 28 Phosphates 8 5 10 9 32 TOTAL 21 15 24 24 84

Test whether the 4 fields are materially different in fertility? Also find out whether the three different fertilizers make any material difference in the yields?