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.

He jumps 3 steps down and then jumps back 2 steps up. In how many jumps will he reach the water level?

Open in App

Solution

Starting from first,
After 1st jump, the monkey will be at step number 4.
After 2nd jump, the monkey will be at step number 2.
After 3rd jump, the monkey will be at step number 5.
Similarly after 5th jump, the monkey will be at step number 6.
After 7th jump, the monkey will be at step number 7.
After 9th jump, the monkey will be at step number (5 + 3) = 8.
After 10th jump, the monkey will be at step number (8 + (-2)) = 6.
After 11th jump, the monkey will be at step number (6 + 3) = 9.
Clearly, the monkey will be at water level (i.e., $9^{t h} s t e p$ ) after 11 jumps.

Suggest Corrections

Similar questions

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 $9^{t h}$ step.

(i) He jumps $3$ steps down and then jumps back $2$ steps up. In how many jumps will he reach the water level?

A water tank has steps inside it. A monkey is sitting on the top most step. (ie, the first step) The water level is at the ninth step.
(a) He jumps $3$ steps down and then jumps back $2$ step up. In how many jumps will he reach the water level?
(b) 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?

Q. A deep well 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. To go one step down, the monkey jumps 3 steps down in the first jump and then jumps back 2 steps up in the second jump, how many jumps does it have to make to reach the water level?

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?

(iii) If the number of steps moved down is represented by negative integers and the number of steps moved up by positive integers, represent his moves in part (i) and (ii) by completing the following; (a) − 3 + 2 − … = − 8 (b) 4 − 2 + … = 8. In (a) the sum (− 8) represents going down by eight steps. So, what will the sum 8 in (b) represent?

A water tank has steps inside it. A monkey is sitting on the top most step (i.e., the first step). The water level is at the ninth step .

(1) He jumps 3 steps down and then jumps back 2 steps up. In how many jumps will he reach the water level ?

(2) 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 ?

(3) If the no. Of steps moved down is represented by negative integers and the no. Of steps moved up by positive integers , represent his moves in part 1 and 2 by completing the following; (1) -3+2-..... = -8 (2) 4-2+....... =8. In 1 the sum (-8) represent going down by eight steps. So, what will the sum 8 in 2 represent ?

Join BYJU'S Learning Program

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. He jumps 3 steps down and then jumps back 2 steps up. In how many jumps will he reach the water level?

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.

He jumps 3 steps down and then jumps back 2 steps up. In how many jumps will he reach the water level?