Q5. A water tank has steps inside it. A monkey is sitting at the topmost
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?explain step by step
Answers
1) He has to go 6 steps down to drink water.
Step-by-step explanation:
I am sorry I couldn't answer the 2nd one
Answer:
Steps:
i) Monkey jumps
3
steps down and then back
2
steps up. The jumps of monkey can be represented as:–
First jump
=
1
+
3
=
4
steps
Second jump
=
4
–
2
=
2
steps
Third jump
=
2
+
3
=
5
steps
Fourth jump
=
5
–
2
=
3
steps
Fifth jump
=
3
+
3
=
6
steps
Sixth jump
=
6
–
2
=
4
steps
Seventh jump
=
4
+
3
=
7
steps
Eighth jump
=
7
–
2
=
5
steps
Ninth jump
=
5
+
3
=
8
steps
Tenth jump
=
8
–
2
=
6
steps
Eleventh jump
=
6
+
3
=
9
steps
Monkey will reach ninth step in
11
jumps.
ii) Monkey jumps
4
steps up and then jumps back
2
steps down in every ove. The jumps of monkey can be represented as follows;–
First jump
=
9
–
4
=
5
steps
Second jump
=
5
+
2
=
7
steps
Third jump
=
7
–
4
=
3
steps
Fourth jump
=
3
+
2
=
5
steps
Fifth jump
=
5
–
4
=
1
step
The monkey will reach back the top step after
5
jumps.
iii) Moves in part (i)
[
−
3
+
2
−
3
+
2
−
3
+
2
−
3
+
2
−
3
+
2
=
−
8
]
which represents the monkey goes down by
8
steps
Moves in part (ii)
4
–
2
+
4
–
2
+
4
=
8
,
the sum
8
in (b) represents the monkey goes up by
8
steps.