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Question 10(ii)
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.


(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 it reach back the top step?

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Solution

Initially, the monkey was at step = 9
After 1st jump, the monkey will be at step = 9 + (-4) = 5
After 2nd jump, the monkey will be at step = 5 + 2 = 7
After 3rd jump, the monkey will be at step = 7 + (- 4) = 3
After 4th jump, the monkey will be at step = 3 + 2 = 5
After 5th jump, the monkey will be at step = 5 + (- 4) = 1
Clearly, the monkey will reach back at the top step after 5 jumps.


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