A water Tank has steps inside it.A monkey is sitting in the top most step.water level is at 9th step.He jumps 3 steps down and then 2 steps up In how many jumps will he reach the water level ??

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Solution

Dear student,
you may think 1 jump consist of 3 steps down and 2 steps up. But they should be considered as 2 jumps. 1 st jump = 3 steps down 2 nd jump = 2 steps up etc...... like that. Then,
(i) Initially, the monkey was at step = 1

After 1^st jump, the monkey will be at step = 1 + 3 = 4

After 2^nd jump, the monkey will be at step = 4 + (−2) = 2

After 3^rd jump, the monkey will be at step = 2 + 3 = 5

After 4^th jump, the monkey will be at step = 5 + (−2) = 3

After 5^th jump, the monkey will be at step = 3 + 3 = 6

After 6^th jump, the monkey will be at step = 6 + (−2) = 4

After 7^th jump, the monkey will be at step = 4 + 3 = 7

After 8^th jump, the monkey will be at step = 7 + (−2) = 5

After 9^th jump, the monkey will be at step = 5 + 3 = 8

After 10^th jump, the monkey will be at step = 8 + (−2) = 6

After 11^th jump, the monkey will be at step = 6 + 3 = 9

Clearly, the monkey will be at water level (i.e., 9^th step) after 11 jumps

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