GOBIND KUMAR JHA
9874411552
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B. Com. (Semester โ V CCF)
Business Mathematics
Leaked Question Paper
Group โ A (5 X 5 = 25) (Out of 8 Questions)
1. If ๐(๐ฅ)=2๐ฅ2โ 3๐ฅ+ 4, for what value of x is 2๐(๐ฅ)= ๐(2๐ฅ).
2. (a) Evaluate: lim
๐ฅโ2โ๐+๐โ๐
๐โ๐ .
(b) Examine the continuity of the functions at x = 1.
3. In what time will a sum of money double itself at 10% compound interest payable half yearly?
4. In how many ways, 4 digits numbers can be formed using the digits 1, 2, 3, 7, 8 & 9 without repetition?
How many of these are even numbers?
5. In how many ways, a committee of 5 members can be selected from 6 men and 5 women, consisting
of 3 men and 2 women?
6. The A.M. of 7, x โ 2, 10, x + 3 is 9; find the value of โxโ.
7. (a) Determine the median from the following data: 50, 30, 70, 80, 40, 90 & 100.
(b) Compute mode from the following data:
Values
0 โ 10
10 โ 20
20 โ 30
30 โ 40
40 โ 50
Frequency
3
8
20
12
7
8. Determine the mean deviation about mean from the following data: 5, 3, 7, 8, 4 & 9.
Group โ B (10 X 5 = 50) (Out of 8 Questions)
9. If A = [2 โ3 โ5
โ1 4 5
1 โ3 โ4] and B = [โ1 3 5
1 โ3 โ5
โ1 3 5 ], show that AB = BA = O, where O is the zero (Null)
matrix of order 3.
10. Divided 16 into two parts such that their product is Maximum.
11. Show that the difference between the maximum and minimum values of the function xยณ - 27x + 108 is
108.
12. Find the standard deviation and co-efficient of variation from the following table giving the marks of
150 students:
Marks
No. of Students
1 โ 10
5
11 โ 20
12
21 โ 30
20
31 โ 40
25
41 โ 50
40
51 โ 60
22
61 โ 70
15
71 โ 80
6
81 โ 90
4
91 โ 100
1
13. Calculate the co-efficient of correlation from the following data:
