Institute of Chartered Financial Analysts of India (ICFAI) University 2003 B.Sc Mathematics semestar - Question Paper
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28. The height of a cone is 30 cm . A small cone is cut off at the top by the plane parallel to the base. If its quantity be 1/27 of the quantity of the provided cone , at what height above the base, the part has been made.
29. An employee obtains that if he increases the wages of every worker by Rs50 and the employs 1 worker less he decreases his weekly wages bill by Rs230 from Rs6800 to Rs6570. taking the original weekly wages be x find eq in x and obtain the weekly wages of every worker.
30. Find the median from the subsequent table:
Marks No. of Students
beneath 10 15
beneath 20 35
beneath 30 60
beneath 40 84
beneath 50 94
beneath 60 127
beneath 70 198
beneath 80 249
Sample Paper – 2005
Mathematics
1. Show that the points A (2, -2), B (14, 10), C (11, 13) and D (-1, 1) are the vertices of a rectangle.
2. Determine the ratio in which the points (6, a) divides the join of A (-3, -1) and B (-8, 9). Also obtain the value of “a”.
3. Find the point on the x-axis which is equidistant from the points (-2, 5) and (2, -3).find the coordinates of a point which divides internally the line segment joining the points (-3,-4) and (-8, 7) in the ratio of 7:5.
4. Find the value of k for which the points (2, 5), (k, 11/2) and (4, 6) are collinear.
5. Find the lengths of the median of the triangle whose vertices are (1,-1), (0, 4) and (-5,3) .
6. Find the co-ordinates of the points of trisection of the line segment joining the points (3, -3) and (6, 9).
7. The center of a circle of radius 13 units is the point (3, 6). P (7, 9) is a point inside the circle. APB is a chord of the circle such that AP = PB. compute the length of AB.
8. The co-ordinates of the mid-point of the line joining the points (3p, 4) and (-2, 2q) are (5, p). obtain the values of p and q.
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