This document contains instructions and questions for a Quantitative Techniques exam consisting of two sections - Section A and Section B. Section A contains 15 multiple choice questions covering topics like equivalent sets, linear/quadratic equations, arithmetic/geometric progressions, matrix inverse, and more. Section B contains 9 long answer questions asking students to discuss how statistics helps with business decisions, state and prove the binomial theorem, calculate values based on mean and geometric mean, construct Fisher's ideal price index using price and quantity data, and more. Students have 3 hours to complete the exam which is worth a total of 75 marks.

1. Roll No. ......................
Total No. of Questions : 13] [Total No. of Pages : 03
Paper ID [B0204]
(Please fill this Paper ID in OMR Sheet)
MBA/PGDBM (104) (S05) (Old) (Sem. - 1st )
QUANTITATIVE TECHNIQUES
Time : 03 Hours Maximum Marks : 75
Instruction to Candidates:
1) Section - A is Compulsory.
2) Attempt any Nine questions from Section - B.
Section - A
(15 × 2 = 30)
Q1)
a) Equivalent sets.
b) Linear and Quadratic equations.
c) Arithmetical Progression and Geometric Progression.
d) Matrix Inverse.
e) Mean deviation.
f) Harmonic mean and Geometric mean.
g) Partial and multiple correlation.
h) Mathematical Induction.
i) Secular trend Vs periodic movement of time series.
j) Conditional probability.
k) Null and alternative hypotheses.
l) Poisson distribution.
m) Principles of Mathematical Induction.
n) Kurtosis Vs Skewness.
o) t - test.
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2. Section - B
(9 × 5 =45)
Q2) How ‘Statistics’ helps in making business decisions. Discuss.
Q3) For what values of m the equation
(m+1) x2 + 2 (m+3) x + (m+8) = 0 has equal roots.
Q4) State and prove Binomial Theorem for positive integral index.
Q5) A series comprises two numbers. Its Mean is 25 and G.M. is 20. Find out the
value of two numbers.
Q6) You are given that the total frequency is 900 and the median 100.48. From the
following frequency distribution, find the class frequencies that are missing.
Intelligence No. of Intelligence No. of
Quotient Students Quotient Students
55-64 2 105-114 ?
65-74 19 115-124 92
75- 84 78 125-134 14
85- 94 ? 135-144 4
95-104 301
Q7) What do you understand by ‘Dispersion’? In what way measures of
variation supplement measures of central tendency? Discuss.
Q8) Ten students obtained the following marks in Statistics (X) and Accountancy
(Y). Find the rank correlation coefficient.
Student: A B C D E F G H I J
X : 92 89 86 87 83 71 77 63 53 50
Y : 86 83 77 91 68 52 85 82 57 57
Q9) Explain the term regression? What are the properties of regression coefficients.
Also differentiate between correlation and regression.
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3. Q10)The following figures relate to the prices and quantities of certain commodities.
Construct Fisher’s Ideal Index of Price.
1993 1994
Commodities Price Quantity Price Quantity
P0 q0 P1 q1
A 16 40 30 40
B 20 60 25 50
C 8 120 15 120
D 4 100 5 100
E 12 50 10 60
Q11)Define Binomial distribution. Explain its chief Characteristics and uses.
Q12)A group consists of 100 men and 80 women, 40 among men and 50 among
women are graduates. If one person is selected at random from the group.
Find the probability the person is either a woman a graduate.
Q13)In a sample of 600 students of a certain college, 400 are found to use dot
pens. In another college from a sample of 900 students, 450 were found to
use dot pens. Test whether the two colleges are significantly different with
respect to the habit of using dot pens.
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