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

In an exam, the average marks obtained by the students was found to be 60. After omission of computational errors, the average marks of 100 candidates had to be changed from 60 to 30 and the average with respect to all the examinees came down to 45 marks. The total number of candidates who took the exam, was. 

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?