A and B can together complete a task 40 days. They worked together for 30 days and then left. A finished the remaining task in next 22 days. In how many days A alone can finish the task?

Find the number of Prime Factor of $${(4^{22}+{4^{22}}+{4^{22}}}+{4^{22})}{(3^{22}+3^{22}+{3^{22}})}$$.

The median of the following data will be _________. 

32, 25,33,27, 35, 29 and 30 

From two points on the ground lying on a straight line through the foot of a pillar, the two angles of elevation of the top of the pillar are complementary to each other. If the distance of the two points from the foot of the pillar are 9 meters and 16 meters and the two points lie on the same side of the pillar. Then the height of the pillar is

In the given figure , DE‖BC and AD:DB=5:3, then what is the value of DE|BC?

The Garibrath express can move at 45 km./hr. without its rake and the speed is diminished by a constant that varies as the square root of the number of wagons attached. If it is known that with 9 wagons, the speed is 30 km./hr., what is the greatest number of wagons with which the train can just move?

Three friends Naimish, Ranveer and Arjun together started a business by investing Rs.250, Rs. 400 and Rs. 300 respectively. After 4 months Naimish invested Rs. 150 more and after 6 months Ranveer withdraw Rs. 100. While after 8 months Arjun invested Rs. 200 more. At the end of the year, a profit of Rs. 1280 is obtained. Find the share of Ranveer?