Yahoo Interview Question Software Engineer / Developers
0of 0 votesThere is a temple, whose premises have a garden and a pond. It has 4 idols, each of Ram, Shiv,
Vishnu and Durga. The priest plucks x flowers from the garden and places them in the pond. The number of flowers
doubles up, and he picks y flowers out of them and goes to offer it to Lord Ram. By the time he reaches
to the pond, he finds the remaining flowers also have doubled up in the meantime, so he again picks up y
from the pond and goes to Lord Shiv.This process is repeated till all the Gods have y flowers offered to them,
such that in the end no flower is left in the pond. Find x and y.
x = 3 y = 4
1. put 3 flowers in pond => 6(3*2) flowers
2. pick 4 flowers to lord Ram, 2 flowers left in pond
3. flowers double => 4(2*2) more in pond
4. pick 4 more flowers lord Shiv
5. No flowers in pond
Generic:
step 1: x => 2x
step 2: 2x-y
step 3: 2x-y => 2(2x-y)
step 4: (4x-2y)-y
step 5: 4x-3y = 0
hence x = (3/4)y or y = (4/3)x

x = 15 and y = 16
- Anonymous on September 13, 2010 Edit | Flag Reply