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TheUltimateWinner
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10 Sep 2019, 12:27
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
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Question Stats:
68% (01:54) correct
32%
(01:58)
wrong
based on 56
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a, b, and c are three positive integers such that \(abc=12\). What is standard deviation of a, b, and c?
1) The median of a, b, and c is equal to the range of a, b, and c
2) Median of a, b, and c is less than the range of a, b, and c
1) The median of a, b, and c is equal to the range of a, b, and c
2) Median of a, b, and c is less than the range of a, b, and c
10 Sep 2019, 18:39
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a, b, and c are three positive integers such that \(abc=12\). What is standard deviation of a, b, and c?
possibilities of a, b and c are
1*1*12, 1*2*6, 1*3*4 or 2*2*3
1) The median of a, b, and c is equal to the range of a, b, and c
We can check the choices
1*1*12, Median =1 and range = 12-1=11..NO
1*2*6, Median =2 and range = 6-1=5..NO
1*3*4 Median =3 and range = 4-1=3..YES
or 2*2*3 Median =2 and range = 3-2=1..NO
Hence we know they are 1, 3, 4 and we can find their SD
Suff
2) Median of a, b, and c is less than the range of a, b, and c
We can check the choices
1*1*12, Median =1 and range = 12-1=11.. 1<11 ..YES
1*2*6, Median =2 and range = 6-1=5..2<5...YES
1*3*4 Median =3 and range = 4-1=3....3=3...NO
or 2*2*3 Median =2 and range = 3-2=1....2>1...NO
Hence the numbers can be 1, 1, 12 OR 1, 2, 6..
Insuff
A
However, the statements I and II are contradicting each other and it will never happen in actual GMAT.
possibilities of a, b and c are
1*1*12, 1*2*6, 1*3*4 or 2*2*3
1) The median of a, b, and c is equal to the range of a, b, and c
We can check the choices
1*1*12, Median =1 and range = 12-1=11..NO
1*2*6, Median =2 and range = 6-1=5..NO
1*3*4 Median =3 and range = 4-1=3..YES
or 2*2*3 Median =2 and range = 3-2=1..NO
Hence we know they are 1, 3, 4 and we can find their SD
Suff
2) Median of a, b, and c is less than the range of a, b, and c
We can check the choices
1*1*12, Median =1 and range = 12-1=11.. 1<11 ..YES
1*2*6, Median =2 and range = 6-1=5..2<5...YES
1*3*4 Median =3 and range = 4-1=3....3=3...NO
or 2*2*3 Median =2 and range = 3-2=1....2>1...NO
Hence the numbers can be 1, 1, 12 OR 1, 2, 6..
Insuff
A
However, the statements I and II are contradicting each other and it will never happen in actual GMAT.
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