The Institute of Cost and Works Accountants of India 2008 Certification CWA/ICWA Business Mathematics & Statistics Fundamentals- Test 1 - Question Paper
Paper 4
Business Mathematics &Statistics Fundamentals
Time Allowed : 3 hours Full Marks : 100 (Answer all Five Questions : All Questions are of Equal Value)
1. (a) If = y = = k, show that K = if (x + y + z) 0
y + zz + xx + y 2
(b) If x = 2 + 223 + 213 show that x3 - 6x2 + 6x - 2 = 0
2. (a) The area of a regular hexagon is 54V3 sq. cm, find the length of a side, and also perimeter of hexagon.
(b) A solid rectangular block of metal 49 cm. by 44 cm. by 18 cm. is melted and formed into a solid sphere, find the radius of the sphere = 2
3. (a) Find the locus of a point which moves so that the sum of the squares of its distances from 2 points (3, 0) and (- 3, 0) is 36.
(b) Find the equation of the circle whose centre is (2, - 4) and passes through the centre of the circle x2 + y2 - 2x + 2y - 38 = 0.
4. (a) Evaluate : (i) lim + x - x (ii) lim -4
x 0 x x -2 x + 2
(b) Evaluate : (i) Jx (3x2 + 7)7 dx (ii) jxlogxdx.
5. (a) Out of Rs. 500 spent by a motor company, items of expenses are as follows :
wages - Rs. 125, materials - Rs. 110, taxes - Rs. 180, distributed points- Rs. 65 and administration - Rs. 20.
Draw a pie chart to depict the above items
(b) Find the median from the frequency distribution
|
Marks |
No. of students | |
|
Less than |
10 |
5 |
|
20 |
9 | |
|
30 |
15 | |
|
40 |
18 | |
|
50 |
20 |
|
Attachment: |
| Earning: Approval pending. |
