BBA102/ BCH103 Quantitative Techniques-I BBA/ B.Com Question Paper : tmu.ac.in

University : Teerthanker Mahaveer University
College : Teerthanker Mahaveer College of Management And Computer Applications
Degree : BBA/ B.Com
Subject : BBA102/ BCH103 Quantitative Techniques-I
Semester : I
Document Type : Question Paper
Website : tmu.ac.in

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TMU Quantitative Techniques-I Question Paper

BBA/B.Com. Hons I SEMESTER EXAMINATION
Course Code : BBA102/BCH103
Paper ID: 0111102

Related : Teerthanker Mahaveer Medical College & Research Centre BBA101/ BCH101 Business & Management BBA/ B.Com Question Paper : www.pdfquestion.in/5714.html

Time : 3 Hours
Max. Marks: 75

June 2010-11

Note : Attempt six questions in all. Q. No. 1 is compulsory.
1. Answer any five of the following (limit your answer in 50 words).
(3×5=15)
a) Define rank of a matrix.
b) Explain the notation of sets with examples.
c) Define addition and multiplication of matrices with their properties.

d) Discuss the concepts of Union and Inter-section of sets with their practical importance.
e) Reduce the equation 2x-3y-5=0 to slope – intercept form and find from it the slope and y-intercept.

f) Write the equations of a line :
i) parallel to the x-axis at a distance of 4 units above it
ii) parallel to the y-axis at a distance of 5 units to its right.

g) Explain the simple and compound interest with examples.
h) Define inverse of a matrix with its properties.

2. a) Find, x, y, z and w when : (6) x y z w x y x z 2 3 2 = – 0 13 Show that A2-5A-14I=0 3.a) 3. a) If A = Find adj A
b) Solve the following system of equations by Guassian Elimination method : (6) 5x –y = -7, 2x + 3z = 1, 3y – z =5

a) Arun buys a scooter for Rs. 22,000. He pays Rs. 4,000 in cash and agrees to pay the balance in 18 annual installments of Rs. 1,000 each plus 10% simple interest on the unpaid amount. How much will the scooter cost him- (6)
b) If the 4th and 9th terms of a G.P. are 54 and 13122 respectively, find the G.P. (6)

5.a) In a group of 52 persons, 16 drink tea but not coffee and 33 drink tea. Find : (3+3)
i) how many drink tea and coffee both-
ii) how many drink coffee but not tea-
b) Let A = {2, 4, 6, 8, 10} (3+3)
B = {4, 8, 12, 16}
C = {6, 12, 18, 24}
Using Venn diagrams, verify that
i) (AUB)UC = AU(BUC)
ii) AU(BC) = (AUB)(AUC)

6.a) Using the distance formula, prove that the points A(-2,3), B(1,2) and C(7,0) are collinear. (6)
b) Find the area of the triangle whose vertices are A(4,4), B(3,-16) and C(3,-2). (6)

7.a) Show that the line joining the points (2,-5) and (-2,5) is perpendicular to the line joining the points (6,3) and (1,1). (6)
b) Find the equation of the line passing through the point (2,-5) and parallel to the line 2x – 3y = 7. (6)

8. Dfdf
a) Obtain the inverse of matrix- (6
b) Find the rank of the matrix- (6)

May 2014-15

BBA /B.Com (Hons)/B.Com (Pass) I (First) Semester Examination
Course Code : BBA102 /BCH103/BCP103
Paper ID : 0501202
Time : 3 Hours Max. Marks: 70 Max Marks: 75
Note : Attempt six questions in all. Q. No. 1 is compulsory.
1. Answer any five of the following (limit your answer in 50 words). (4×5=20)
a) Given the matrix below Find the minor A32 and A22.
b) In how many ways can the letters of word MONDAY be arranged? How many of them begin with M and end with Y?

c) Which term of the series 5 + 2 – 1 – 4…….. is – 22?
d) Find the distance between the points (2,4) and (-6,5). Also find the equation of a straight line passing through these two points.
e) Find the slope and the equation of the line perpendicular to the line 3x + 2y + 6 = 0, passing through (3,-2).

f) Find the matrix X if .
g) Find the compounded interest on Rs. 8000 at 10% per annum compounded semi annually for 2 years.
h) Define Null Set, Infinite set, singleton set, subset, union of two sets and intersection of two sets with example.

2. A mixture is to be made of three foods A, B, C. The three foods A, B, C contain nutrients P, Q, R as shown below
Food Ounces per pound of Nutrient
P Q R
A 1 2 5
B 3 1 1
C 4 2 1
How to form a mixture which will have 8 ounces of P, 5 ounces of Q and 7 ounces of R? Solve by matrix method. (10)

3. a) Find the sum of the sequence 7, 77, 777, 7777……….to n terms. (5)
b) A man starts repaying a loan as first installment of 100. If he increases the instalment by ` 5 every month, what amount he will pay in the 30th instalment? (5)

4. a) The owner of a milk store finds that he can sell 980 litres of milk each week at ` 14 per litre and 1220 litres of milk each week at ` 16 per litre. Assuming a linear relationship between selling price and demand, how many litres could he sell weekly at ` 17 per litre? (5)

b) Two lines passing through the point (2,3) intersects each other at an angle of 60o. If the slope of one line is 2, find equation of other line. (5)

5. a) In a survey of 600 students in a school, 150 students were found to be taking tea and 225 students taking coffee, 100 were taking both tea and coffee. Find how many students were taking neither tea nor coffee? (5)

b) Taking the set of natural numbers as the universal set, write down the complementary of the following sets : (5)
i) {x: x is an even natural number}
ii) {x:x is a perfect square}