BABSc, B.Com & BCA Questions _III - Nalanda Open University

Nalanda Open University
Annual Exam-2010,
Bachelor of Commerce (Busness Math and Stat) Hons, Part-III
Paper-VIII
Time: 3Hrs Full Marks: 70
Answer any Five questions, selecting at least Two question from each Group A and Group B.
(a)
Group-A
1. (a) In how many ways can the letters of The Word "STRANGE" be arranged so that the
vowels (A and E) may appear in the odd places.
(b) Find the value of n if 2n C 3 : n C 2 = 44 : 3
2. Find the equation of the straight line through (-2, -3) and perpendicular to the line 2x - 3y
- 5 = 0.
3. How many terms of the progression 15, 12, 9 ....... should be taken so that their sum is 36
? Interprete the double answer.
4. (a) Find the value of AB if
A = L N
B
M
O =
QP L 3
N M O
7 4 2 5 2 4 9
4
5 4 3
1 1 2QP
(b) Prove that
a + b + 2c a b
3
c b + c + 2a b = 2( a + b + c)
c a c + a + 2b
5. Evaluate the following figures with Binomial expansion
(1.1) 5 (b) (99) 4 Group-B
6. Find the mean and median from the following data
CI 50-54 55-59 60-64 65-69 70-74 75-79 80-84 85-89
f 1 5 17 36 25 11 4 1
7. Define statistics and write its nature, scope and limitation of statistics?
8. Find the standard deviation and its coefficient from the following data.
Marks 0-10 10-20 20-30 30-40 40-50 50-60
Freq 2 5 7 13 21 16
9. Find Product moment correlation coefficient from the following data
X 11 10 9 8 7 6 5
y 20 18 12 8 10 5 4
10. What is mode? How it is Computed?
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