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Based on the given statements, select the most appropriate option to solve the given question.

If two floors in a certain building are $9$ feet apart, how many steps are there in a set of stairs that extends from the first floor to the second floor of the building?

Statements:

  1. Each step is $3/4$ foot high.
  2. Each step is $1$ foot wide. 
  1. Statements I alone is sufficient, but statement II alone is not sufficient.
  2. Statements II alone is sufficient, but statement I alone is not sufficient.
  3. Both statements together are sufficient, but neither statement alone is sufficient.
  4. Statements I and II together are not sufficient. 
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4 Answers

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  1. Statements I alone is sufficient, but statement II alone is not sufficient.
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I think ANSWER is PART (C)

Both statements together are sufficient, but neither statement alone is sufficient.

Because based on height and width we can calculate effectively how much distance will be traveled in one step.

Each step in general form a right angle triangle in which base is 1 and height is 3/4 so in each step effectively we will travel $\sqrt[2]{1^{2}+(3/4)^{2}}$ 

Please correct me if i am wrong.

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When we climb from one floor to other, it is the height that matters and not the width of the staircase.Therefore, From statement 1 only, we can figure out that 9 / (3/4) or 12 steps are required.

reference:geeksforgeeks
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The number of stairs = Height of the floor / the height of stairs

Hence option A is correct.

Answer:

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