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09 Sep 2018, 08:49
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B
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Difficulty:
45%
(medium)
Question Stats:
65% (02:05) correct
35%
(01:55)
wrong
based on 75
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Joan has two pieces of cloth, one red and one blue. The blue cloth's length is 1 inch shorter than that of the red cloth and the blue cloth's width is 2 inches longer than that of the red cloth. If the red cloth is a square, what is its area?
(1) There is a 25% difference between the red and blue cloths in one of the dimensions.
(2) The longer width is 25% greater than the shorter width.
(1) There is a 25% difference between the red and blue cloths in one of the dimensions.
(2) The longer width is 25% greater than the shorter width.
alldaytestprep
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Expert reply
09 Sep 2018, 16:10
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Bunuel
Call each side of the red square x. Technically we are looking for x^2 but since this is data sufficiency all we need is x.
Therefore the sides of the blue cloth are (x+2) & (x-1) respectively.
1) This gives us two possible scenarios.
Either:
x+2 = 1.25x
or
x = 1.25(x-1)
x has two possible values --> 8 or 5. Therefore insufficient.
2) This was one of our options from statement 1 but now we know we don't have any possibility other than the x + 2 = 1.25x. Therefore x = 8
SUFFICIENT
Final Answer: B
21 Oct 2023, 05:31
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