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## Quantitative Techniques Question Paper of MBA Semester 1, Download Question Paper 2

• Thursday, November 26, 2015

Roll No…….
Total No. of Questions: 07

Paper ID [C0167]
MBA (Sem.-1st)
QUANTITATIVE TECHNIQUES (MB-104)
Subject Code: MB-104 (2k9)

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

SECTION-A
Q1.      Explain briefly the following terms/method procedure in the context of quantitative techniques.
(a)    Value of depreciation of good having value Rs. 400 at the rate of 15 percent.
(b)   If A= then show that A(B+C)= (A+B)C
(c)    Binomial Theorem.
(d)   Mean v/s node as measure of central condency.
(e)    Index Numbers.
(f)    Correlation v/s Regression.
(g)   Compare and contrast Trend Component v/s seasonal component of a time series.
(h)   Additive Law v/s Multiplicative Law of Probability.
(i)     Two kinds of errors in test of significance.
(j)     Small sample v/s large sample tests.

SECTION-B
Q2.      (a) (i) Prove that A(B
(ii) Solve the following equation for x
(b) Find the inverse of , if it exists.
Q3.      (a) Find the sum of the following series.
(i)1+
(ii) 3+7+11+-------43.
(b) Calculate mean, median and mode for the following data.
 Groups 5-7 7-9 9-11 11-13 13-15 15-17 17-19 No. of observations 4 7 11 5 3 2 1

Q4. (a) Following table gives average daily per capita expenditure on food items (Y) and average per capita total daily expenditure (X) for different income classes.
 Y 11.7 7.8 6.3 13.7 15.2 18.2 24.2 30.8 52.9 54 X 195 230 274 312 344 491 645 863 1175 1180

Find linear Regression of Y on X and interpret the results.
Q5. (a) Calculate coefficient of variation for the information given below and interpret the results.
 Factory Av. weekly wages Standard Deviation No. of Workers. A 34.5 5.0 476 B 28.5 4.5 524

(b) Discuss Time Reversal Test and Factor Reversal Test for index numbers and show that Fisher’s ideal index statistics these test using an example.
Q6.      (a) Find out quarterly seasonal indices using moving average method for the following data of no. of defects per quarter for 2005 to 2008.
 Quarter Year Q1 Q2 Q3 Q4 2005 25 20 22 18 2006 27 23 20 19 2007 18 19 18 17 2008 17 16 15 15

(b) A coin is so biased to give head twice as likely as tail. It is tossed 3 times. What is the probability that it turned out at least one head?
Q7.      (a) Wha is Baye’s Theorem? Explain its application with an example.
(b) Following is record of marks obtained in a I.Q. test before and after training to 9 students.  Test the significance of the training using appropriate test.
 Students: A B C D E F G H I I.Q. Score Before: 15 21 17 19 9 11 27 29 31 After 18 23 15 14 14 21 16 22 25

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