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Question

Jax starts climbing a five-step ladder. In the first minute, he climbs two steps, and in the second minute, he falls back a step. He again climbs two steps in the third minute and falls back one step in the fourth minute. This continues till he climbs the whole ladder. Find how many minutes he takes to climb the whole ladder.

A
7 minutes
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B
8 minutes
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C
9 minutes
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D
10 minutes
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Solution

The correct option is A 7 minutes
In one minute, Jax climbs two steps, i.e., +2.
In the next minute, he falls back a step, i.e., –1.

1st minute = +2 steps
Total steps = 2

2nd minute = –1 step
Total steps = 2 – 1 = 1 step

3rd minute = +2 steps
Total steps = 1 + 2 = 3

4th minute = –1 step
Total steps = 3 – 1 = 2

5th minute = +2 steps
Total steps = 2 + 2 = 4

6th minute = –1 step
Total steps = 4 – 1 = 3

7th minute = +2 steps
Total steps = 3 + 2 = 5

So, Jax will take 7 minutes to climb the ladder.

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