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27 Dec 2015, 10:48
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B
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Difficulty:
25%
(medium)
Question Stats:
79% (01:36) correct
21%
(01:46)
wrong
based on 142
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Is the length of a side of square S greater than the length of a side of equilateral triangle T ?
(1) The sum of the lengths of a side of S and a side of T is 22.
(2) The ratio of the perimeter of square S to the perimeter of triangle T is 5 to 6.
(1) The sum of the lengths of a side of S and a side of T is 22.
(2) The ratio of the perimeter of square S to the perimeter of triangle T is 5 to 6.
29 Dec 2015, 17:06
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Let the side of the Square S = x and side of the equilateral triangle T = y.
Question : x>y? or can be rephrased to say \(\frac{x}{y} > 1\) (x and y cant be neg).
Statement 1:
x + y = 22.
Lets test values:
11 + 11 = 22, in this case the answer to the question is NO
12 + 10 = 22. in this case the answer to the question is YES.
2 different answers and hence Statement 1 is insufficient.
Statement 2:
Perimeter of the square = 4x
Perimeter of the triangle = 3y
\(\frac{4x}{3y} = \frac{5}{6}\)
\(\frac{x}{y} = \frac{5}{6} * \frac{3}{4}\) This is clearly less than 1.
Hence \(\frac{x}{y} < 1\) or x<y. Sufficient.
Answer B.
Question : x>y? or can be rephrased to say \(\frac{x}{y} > 1\) (x and y cant be neg).
Statement 1:
x + y = 22.
Lets test values:
11 + 11 = 22, in this case the answer to the question is NO
12 + 10 = 22. in this case the answer to the question is YES.
2 different answers and hence Statement 1 is insufficient.
Statement 2:
Perimeter of the square = 4x
Perimeter of the triangle = 3y
\(\frac{4x}{3y} = \frac{5}{6}\)
\(\frac{x}{y} = \frac{5}{6} * \frac{3}{4}\) This is clearly less than 1.
Hence \(\frac{x}{y} < 1\) or x<y. Sufficient.
Answer B.
nipunjain14
Joined: 07 May 2015
Last visit: 12 Aug 2017
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Schools: ISB '19 Kellogg '20 Yale '20 HEC Dec"18
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03 Jan 2016, 04:54
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Statement 1: s+t =22
insufficient
Statement 2: 4S/3T = 5/6
S/T = 5/8 which is less than 1
thus
S<T
Sufficient
Ans: B
insufficient
Statement 2: 4S/3T = 5/6
S/T = 5/8 which is less than 1
thus
S<T
Sufficient
Ans: B
