# CWA ICWA Foundation : Business Mathematics and Statistics Fundamentals - December 2002

 C—4(BMSF)Revised Syllabus Time Allowed : 3 Hours Full Marks : 100
 Section A ARTHMETIC (15 marks)Answer Question No. 1 (compulsory – 5 marks) and any one from the rest (10 marks). Marks
1.(a)3 (0)
(b)2 (0)
2.(a)5 (0)
(b)5 (0)
3.(a)5 (0)
(b)5 (0)
 Section B ALGEBRA (25 marks) Answer Question No.4 (compulsory – 5 marks) and any two (10 x 2 = 20 marks) from the rest.
4.(a)3 (0)
(b)2 (0)
5.(a)4 (0)
(b)6 (0)
6.(a)5 (0)
(b)5 (0)
7.(a)5 (0)
(b)5 (0)
 Section C MENSURATION (25 marks) Answer Question No.8 (compulsory – 5 marks) and any two (10 x 2 = 20 marks) from the rest.
 8. (a) The perimeter of a rectangle is 25.5 m. Its length is 9.5 m. Find its area. 2 (0) (b) The mid points of the sides of a triangle are (1, 4), (4, 8) and (5, 6). Find the co–ordinates of the vertices of the triangle. 3 (0) 9. (a) A cubical metal box is open at the top and the cost of painting its inside at Rs. 1.60 per square cm is Rs. 392. The box is wholly filled with a liquid. Find the volume of the liquid. 5 (0) (b) In the parabola 4(y − 1)2 = − 7(x − 3) find (i) latus rectum, (ii) co–ordinates of focus and vertex. 5 (0) 10. (a) A bicycle wheel makes 5000 revolutions in moving 11 km. Find the diameter of the wheel. 5 (0) (b) In a parallelogram ABCD slope of AB = −2, slope of BC = 3/5. Find the (i) gradient of AD; (ii) gradient of altitude to AD and (iii) gradient of height of the triangle ABC. 5 (0) 11. (a) Two hexagonal coins of the same metal have weights in the ratio 3:2. If the sides are in the ratio 5:2, find the ratio of their thickness. 5 (0) (b) (i) The radius of the circle x2 + y2 − 2x + 3y + λ = 0 is 2½. Find the value of λ. 2 (0) (ii) Find the eccentricity of the ellipse whose major axis is double the minor axis. 3 (0)
 Section D ELEMENTARY STATISTICS (30 marks) Answer Question No. 12 (compulsory – 6 marks) and any two (12 x 2 = 24 marks) from the rest.
12.(a)2 (0)
(b)2 (0)
(c)2 (0)
13.12 (0)
14.12 (0)
15.(a)8 (0)
(b)4 (0)  