Q

# 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

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 he reach back the top step?

Views

Let the number of steps moved down be represented by positive integers and the number of steps moved up by negative integers.

Given,

Monkey is at the step = 9

Now,

The step after:

1st jump  = $9 + (-4) = 5$

2nd jump  = $5 + 2 = 7$

3rd jump  = $7 + (-4) = 3$

4th jump  = $3 + 2 = 5$

5th jump  = $5 + (-4) = 1$

Therefore, after 5 jumps, the monkey will reach back at the top.

Exams
Articles
Questions