Question

A water tank has steps inside it. A monkey is sitting on the topmost step (i.e., the first
step). The water level is at the ninth step.
(i) He jumps 3 steps down and then jumps back 2 steps up.
In how many jumps will he reach the water level?
(ii)
After drinking water, he wants to go back. For this, he
jumps 4 steps up and
then jumps back 2
steps down
in every move. In
how many jumps will he reach back
the top step?

Answer 1

@Peter14

Answer 2

a

Answer 3

1st jump 1 + 3 = 4
2nd jump 4 + (−2) = 2
3rd jump 2 + 3 = 5
4th jump 5 + (−2) = 3
5th jump 3 + 3 = 6
6th jump 6 + (−2) = 4
7th jump 4 + 3 = 7
8th jump 7 + (−2) = 5
9th jump 5 + 3 = 8
10th jump 8 + (−2) = 6
11th jump, 6 + 3 = 9
Clearly, the monkey will be at water level i.e., 9th step after 11 jumps.