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In a lake, there are 10 steps labelled using alphabets from A to J. Starting from step A, every minute a frog jumps to the 4th step from where it started - that is from the step A it would go to the step E and from E it would go to the step I and from I it would go to C etc. Where would the frog be at the 60th minute if it starts at the step A ?
Answer & Solution
Correct Answer:
Option
B
The steps are labelled using alphabets from A to J.
TO MAKE IT EASY, WE HAVE ASSIGNED NUMBERS TO THE STEPS AS FOLLOWS:
Labelled with alphabets : A B C D E F G H I J
Labelled with numbers : 1 2 3 4 5 6 7 8 9 10
The frog takes total 60 minutes and takes 4 step length jumps every time.
Thus,
1st minute : 1 + 4 = 5th step (E)
2nd minute : 5 + 4 = 9th step (I)
3rd minute : 9 + 4 = 3rd step (C)
4th minute : 3 + 4 = 7th step (G)
5th minute : 7 + 4 = 11 = 10+1 = 1st step (A)
The same process is repeated 12 x 5 times.
Then, the jumping positions are
1 5 9 3 7
1 5 9 3 7
1 5 9 3 7 and so on.
After 15 cycles, frog will be in the 1st position
i.e., at 5th minute, 10th minute, 15minutes....60th minute frog will be in the 1st position.
i.e., at 60t
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Login1 step/ minute= 60 steps in 60 minutes. 1 cycle is complete in 5 steps and is also = 5 minutes.
It should be 12 cycle. B coz 12 cycle x 5 minutes/steps (1 cycle) = 60 minutes.
If I'm wrong, please 🙏correct me..