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11 Jul 2019, 18:02
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Difficulty:
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Question Stats:
50% (00:12) correct
50%
(04:26)
wrong
based on 2
sessions
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Not Attempted Yet
Official CAT 2018 Question; Section: QA
Points E, F, G, H lie on the sides AB, BC, CD, and DA, respectively, of a square ABCD. If EFGH is also a square whose area is 62.5% of that of ABCD and CG is longer than EB, then the ratio of length of EB to that of CG is
A) 3:8
B) 2:5
C) 1:3
D) 4:9
Points E, F, G, H lie on the sides AB, BC, CD, and DA, respectively, of a square ABCD. If EFGH is also a square whose area is 62.5% of that of ABCD and CG is longer than EB, then the ratio of length of EB to that of CG is
A) 3:8
B) 2:5
C) 1:3
D) 4:9
11 Jul 2019, 19:43
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Narenn
Official CAT 2018 Question; Section: QA
Points E, F, G, H lie on the sides AB, BC, CD, and DA, respectively, of a square ABCD. If EFGH is also a square whose area is 62.5% of that of ABCD and CG is longer than EB, then the ratio of length of EB to that of CG is
A) 3:8
B) 2:5
C) 1:3
D) 4:9
Points E, F, G, H lie on the sides AB, BC, CD, and DA, respectively, of a square ABCD. If EFGH is also a square whose area is 62.5% of that of ABCD and CG is longer than EB, then the ratio of length of EB to that of CG is
A) 3:8
B) 2:5
C) 1:3
D) 4:9
I drew the figure and played with the options. 1:3 is a nice option giving the area of the outer square 16 and inner (5/8 of 16 which is 10). All other options add upto odd numbers which is odd (though not incorrect)
