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

Roll No…….

Total No. of Questions: 07

Paper ID [C0104]

MBA (Sem.-1^st)

QUANTITATIVE TECHNIQUES (MB-104)

Time: 3 Hrs.                                                                           Max. Marks: 60

Instruction to Candidates:

1.      Section-A is Compulsory.

2.      Attempt any Four questions from Section-B.

SECTION-A

(10 X 2=20)

Q1.

(a)    Discuss role of the mathematics in business.

(b)   Simplify log 12-log2-log3.

(c)    Arc the following sets equal?

A={1,2,3}; B={xR= x²+2x+1=0}.

(d)   Find median of the data: 20, 18, 22, 27, 25, 12 & 15.

(e)    Define skewness.

(f)    Estimates correlation coefficient from using

(g)   Give the regression equations ‘x or y’ and ‘y on x’.

(h)   What are cyclic fluctuations in Time series analysis?

(i)     In a class of 52 students, 5 are boys and rest are girls.  Find the probability that a student selected will be a girl.

(j)     Define null hypothesis.

                SECTION-B

(4 X 10=40)

Q2. Find the compound interest on Rs. 12,000 for 10 years at a rate of 12% per annum compounded annually. (Use logarithms for calculation).

Q3. (a) How many terms of the series 54, 51, 48, …… be taken so that their sum in 513. Explain double answer.

(b) Calculate coefficient of correlation using Rank method,

X	78	89	97	69	59	79	68	57
Y	125	137	156	112	107	136	123	108

Q4. Find mean and standard deviation from the following data:

           

Marks	0-10	10-20	20-30	30-40	40-50	50-60	60-70	70-80
No. of persons	5	10	20	40	30	20	10	4

Q5. Find Fisher’s ideal index number from the following data using 1990 as base year.

Commodity	1990		1995
	Price	Value	Price	Value
A	4	80	10	15
B	8	32	16	5
C	2	20	4	12
D	10	50	20	6

Q6.      (a) If  is the acute angle between two regression lines, then show that tan Where r, a_x, a_y, have usual meanings.

(b) Six dice are thrown 729 times.  How many times do you expect at least three dice to show a five or six?

Q7.      Ten individuals are chosen at random from a normal population and the heights are found to be in cm. as : 157.5, 157.5, 165, 167.5, 170, 172.5, 175, 175, 177.5, 177.5. If this data taken from a universe having mean height 165 cm? (Take for  t=1.8 Area=0.974; t=1.9 Area =0.9555).