36.) The sum of four consecutive numbers in AP is 32 and the ratio of the product of the first and last terms to the product of the two middle terms is 7:15. Find the numbers.
OR
Solve : 1+4+7+10+...+x = 287
37.) Draw a line segment AB of length 7 cm. Taking A as centre, draw a circle of radius 3 cm and taking B as centre, draw another circle of radius 2 cm. Construct tangents to each circle from the centre of the other circle.
38.) A vertical tower stands on a horizontal plane and is surmounted by a vertical flag-staff of height 6m. At a point on the plane, the angle of elevation of the bottom and top of the flag staff are 30° and 45° respectively. Find the height of the tower. (Take √3 = 1.73)
39.) A bucket in the form of frustum of cone of height 30 cm with radii of its lower and upper ends as 10 cm and 20 cm, respectively. Find the capacity of the bucket. Also find the cost of milk which can completely fill the bucket at the rate of 40 per litre. [Use π=22/7]
40.) The following table gives production yield per hectare (in quintals) of wheat of 100 farms of a village :
Production (yield/hectare) No. of Farms
40-45 4
45-50 6
50-55 16
55-60 20
60-65 30
65-70 24
Change the distribution to "a more than" type distribution and draw its ogive.
OR
The median of the following data is 525. Find the value of x and y, if total frequency is 100 :
Class Frequency
0-100 2
100-200 5
200-300 x
300-400 12
400-500 17
500-600 20
600-700 y
700-800 9
800-900 7
900-1000 4