X MATHS PROBABLE QUESTIONS SA II -1

1. Two customers are visiting a particular shop in the same week (Monday to Saturday). Each is equally likely to visit the shop on any day of the week. What is the probability that both will visit the shop on(i) the same day? (ii) two different days? (iii) consecutive days?
2. A canal is 300cm wide and 120cm deep. The water in the canal is flowing with a speed of 20km/h. How much area will it irrigate in 20 minutes if 8cm of standing water is desired?
3. Solve for x, using the quadratic formula: abx² - (a²+b²)x + ab=0
4. Marbles of diameter 1.4 cm are dropped into a cylindrical beaker of diameter 7 cm, containing some water. Find the number of marbles that should be dropped into the beaker so that the level rises by 5.6 cm.
5. How many metres of cloth 5 m wide will be required to make a conical tent, the radius of whose base is 7 m and whose height is 24 cm?
6. A hollow cone is cut by a plane parallel to the base and upper portion is removed. If the curved surface area of the remainder is 8/9 of the curved surface area of the whole cone, find the ratio of the line segments into which the altitude of the cone is divided by the plane.