A water tank has steps inside it. A monkey is sitting on 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 5 steps up and then jumps back 3 steps down in every move. In how many jumps will he reach back the top of the tank?
Koi Zinda Hai ? -,-*
Answers
1st jump 1+3=4th\ step
2nd jump 4-2=\ 2nd\ step\
3rd jump 2+3=5th\ step\
4th jump 5-2=\ 3rd\ step\
5th jump 3+3=6th\ step
6th jump 6-2=4th\ step
7th jump 4+3=7th\ step\
8th jump 7-2\ =\ 5th\ step\
9th jump 5+3=\ 8th\ step\
10th jump 8-2=\ 6th\ step\
11th jump 6+3=\ 9th\ step\
he will reach 9th step in 11th jumps.
(ii) 1st jump = 9-4=\ 5th\ step\
2nd jump = 5+2=\ 7th\ step
3rd jump = 7-4=\ 3rd\ step\
4th jump = 3+2=\ 5th\ step\
5th jump = 5-4=\ 1st\ step\
he reach back on the first step in fifth steps.
Answer:
(i) = 11 Jumps (ii) 5 Jumps
Explanation:
Question = (i) The monkey was at step = A water tank has steps inside it. A monkey is sitting on 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 5 steps up and then jumps back 3 steps down in every move. In how many jumps will he reach back the top of the tank?
Answer
After 1st jump, the monkey will be at step = 1 + 3 = 4
After 2nd jump, the monkey will be at step = 4 + (−2) = 2
After 3rd jump, the monkey will be at step = 2 + 3 = 5
After 4th jump, the monkey will be at step = 5 + (−2) = 3
After 5th jump, the monkey will be at step = 3 + 3 = 6
After 6th jump, the monkey will be at step = 6 + (−2) = 4
After 7th jump, the monkey will be at step = 4 + 3 = 7
After 8th jump, the monkey will be at step = 7 + (−2) = 5
After 9th jump, the monkey will be at step = 5 + 3 = 8
After 10th jump, the monkey will be at step = 8 + (−2) = 6
After 11th jump, the monkey will be at step = 6 + 3 = 9
Therefore, the monkey will be at water level after 11 jumps.
(ii) Now, the monkey is at 9th step
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
Hence, the monkey will reach back at the top step after 5 jumps