Rajiv and Sanjiv went camping .they took their own water in
big plastic bottle.
Rajiv got thirsty and drank half the water in his bottle. A
little later on he drank 1/3 of what was left. Some time afterwards he drank ¼
of what remained and so on.
Sanjiv also had a bottle of the same size. He drank half the
bottle at the first instance, half of what remained when he drank next and so
on.
After each took ten drinks the water Rajiv had left was how
many times greater than the water Sanjiv had left?
Answer: 1024 / 11 times.
R has left s has left
End of one
drink
½ ½
1/11 1/2¹⁰ End of two drinks
1/3
(1/2)²
End of three drinks
¼ (1/2)³
End of four drinks 1/5
(1/2)⁴
End of
five drinks 1/6
(1/2)⁵
End of six
drinks
1/7 (1/2)⁶
2¹⁰ / 11 = 1024 /
11 end of seven drinks 1/8 (1/2)⁷
End of
eight drinks
1/9 (1/2)⁸
End of
nine drinks
1/10
(1/2)⁹
End of ten
drinks 1/11 (1/2)¹⁰
