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GATE 2015 EE – Question 4

General Aptitude · Analytical Aptitude: Logical Reasoning and Deduction · 1 mark · Multiple choice

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:

(I) Each step is $3/4$ foot high.

(II) Each step is 1 foot wide.

  1. Statement I alone is sufficient, but statement II alone is not sufficient.
  2. Statement II alone is sufficient, but statement I alone is not sufficient.
  3. Both statements together are sufficient, but neither statement alone is sufficient.
  4. Statement I and II together are not sufficient.

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Show answer and explanation

Correct answer: (A) Statement I alone is sufficient, but statement II alone is not sufficient.

Explanation

The number of steps equals the total height divided by the height of one step. Statement I gives the step height, so $9 \div \frac{3}{4} = 12$ steps. Statement II is about width, which does not affect the number of steps, so I alone is sufficient.