## Realated Questions

PQRSTU is a regular hexagon drawn on the ground. Prashant stands at P and he starts jumping from vertex to vertex beginning from P. From any vertex of the hexagon except S, which is opposite to A, he may jump to any adjacent vertices. When he reaches S, he stops. Let S

^{n}be the number of distinct paths of exactly n jumps ending at S. What is the value of S^{2}k, where k is an integer?Ramesh has two examinations on Wednesday - Engineering Mathematics in the morning Engineering drawing in the afternoon. He has a fixed amount of time to read the textbooks of both these subjects on Tuesday. During this time he can read 80 pages of Engineering Mathematics and 100 pages of Engineering Drawing. Alternatively, he can also read 50 pages of Engineering Mathematics and 250 pages of Engineering Drawing. Assume that the amount of time it takes to read one page of the textbook of either subject is constant. Ramesh is confident about Engineering Drawing and wants to devote full time in reading Engineering Mathematics. The number of Engineering Mathematics text book pages he can read on Tuesday is:

On May 1, 2007, two organisations (A and B) were formed with n members each. On the first day of each subsequent month, m members join A while the number of members in B gets multiplied by p. On October 2, 2007, both organisations have the same number of members. If m = 20n, find p?