Mahadevananda Mahavidyalaya
B.Com 2nd semester (honours + general)
Assignment
Full marks - 4 x 5 = 20
Answer any four questions:
3
1) Answer the following questions:
2bc-a? c?
b2
a) Prove that c2
2ca - 2 a? (a + b3 + c-3abc)?.
b?
a? Zab-c2
14 2 2
b) A = 2 4 2 show that A2 - 10A + Iz = 0 .
12 2
2) Answer the following questions:
a) Solve the system of equation by Cramer's rule.
2
3
2x - y + -
*+ 3y = 5
2
1 0
b) If=(3 4 5, then find A-1
123
3) Test and University examination marks of 9 students are:
5
Test (x) 77 50 71 72 81 94 96 99 67
Univ (y) 82 66
78 84
47
85 99 99 68
Estimate the University examination marks of one student who have scored 85 in college test examination,
being ill at the time of university examination.
5
4) Study the following table:
Height
No of
samplings
4.5-5.4 2
5.5-6.4 6
6.5-7.4 12
7.5-8.4 18
8.5-9.4 25
9.5 - 10.4 20
10.5-11.4 10
11.5-12.4 7
Find the following:
1. Mode of distribution.
II. Quartile deviation of the distribution
Variance and standard deviation.
iv. Mean deviation from the median
V. Co-effident of variation
5) Answer the following questions:
a) If
loga-log bloga
y+z 2+x
1.
3
O**'' -
b) Prove (yz)od X (2x)box} x (xy) = 1.
things
, then show that
2
Answers
Answer: Mahadevananda Mahavidyalaya, a co-educational day College, originally affiliated to the University of Calcutta was founded in Monirampore, under Barrackpore Sub-division of North 24 Parganas, West Bengal, by Late Swami Jyotirmoyananda Giri Maharaj, in the sacred memory of his preceptor Late Swami Mahadevananda Giri Maharaj, on the auspicious day of Janmashtami, and the Independence Day, the 15th of August, 1968. The 15th of August being a holiday, the 16th of August has been officially declared as the Foundation Day of the College. This college accredited by NAAC at A grade.
The vision of the Founder of this educational Institute Late Srimat Swami Jyotirmoyananda was to spread Science Education initially among the boys and girls and to that end, he founded this co-educational Degree College, a temple of formal higher education, to later the needs of the local people particularly the people of the industrial belt of North 24 Parganas and to satisfy the national needs at large.
As the successor of the founder monk, we trust (our Mission)in the wider connotation of “Education” and we believe that education is the training for a meaningful life and a continuous process for making of a complete human being enriched in “Value Education”.
As this institution was founded by a group of spiritual monk, we always concentrate our effort to imbibe among the students a sense of sacrifice, social awareness and respect for the proud Heritage of India. So our objective is:
1. To convince our pupils that success in formal education can be worthwhile only when personal achievements are combined with social commitment and responsibility.
2. To instill and enhance confidence, consciousness and ability of our pupils to face an overhanging world.
3. To develop a temper of honesty, discipline and an undying sprit of success among the pupils