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Number of Stairs Between Floors

Expert replies
by pierce22884 » Fri Feb 19, 2010 2:50 pm
If the 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?

1) Each step is (3/4) foot high.

2) Each step is is 1 foot wide.


OA: A

Please help me understand as to why.
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Source: — Data Sufficiency |

by Amiman » Fri Feb 19, 2010 3:03 pm
1 is suff
2 talks about wide and not height so not suff

Ans A
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by pierce22884 » Fri Feb 19, 2010 3:11 pm
You need to know the width also. The stairs are not going to be stacked (3/4) foot high on top of each other the WIDTH must be know.........
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by Stuart@KaplanGMAT » Fri Feb 19, 2010 4:00 pm
pierce22884 wrote:You need to know the width also. The stairs are not going to be stacked (3/4) foot high on top of each other the WIDTH must be know.........
No you don't.

Whether the steps are 5 feet wide each or 1 inch wide, if we know the height of each step we know how many steps it takes to gain 9 feet of altitude.

As a complete aside, I think you have depth confused with width (although the depth of the steps is also irrelevant to answering the question posed).

Height of step = vertical distance;
width of step = side to side distance; and
depth of step = how far from the edge of one step does the next step begin.
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by shashank.ism » Sun Feb 21, 2010 4:50 am
pierce22884 wrote:If the 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?

1) Each step is (3/4) foot high.

2) Each step is is 1 foot wide.


[spoiler]OA: A[/spoiler]

Please help me understand as to why.
two floors are 9 feet apart..
St.1 Each step is (3/4) foot high. so no, of steps = 9/(3/4) = 12 =========suff.
St.2 Each step is is 1 foot wide.
width of stair don't solve the problem.... as we want height ....=========insuff.

Ans. A
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