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73% (01:15) correct
28%
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If Adam is \(a\) centimeters tall, Alfredo is \(b\) centimeters tall, and David is \(c\) centimeters tall, is \(b\) equal to the median of \(a\), \(b\), and \(c\) ?
(1) Adam and Alfredo are exactly the same height.
(2) David is 5 centimeters taller than Alfredo.
(1) Adam and Alfredo are exactly the same height.
(2) David is 5 centimeters taller than Alfredo.
04 Apr 2023, 05:36
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Bunuel
Statement 1
(1) Adam and Alfredo are exactly the same height.
There are three possibilities -
1) The height of Adam and Alfredo is less than that of David. If that was the case, the height can be represented in increasing order as -
\(a \quad b \quad c\)
2) The height of Adam and Alfredo is more than that of David. If that was the case, the height can be represented in increasing order as -
\(c \quad b \quad a\)
3) The height of Adam, Alfredo, and David are the same. If that was the case, the height can be represented in increasing order as -
\(a \quad b \quad c \)
In all three cases, \(b\) is equal to the median of \(a\), \(b\), and \(c\). The statement is sufficient, and we can eliminate B, C, and E.
Statement 2
(2) David is 5 centimeters taller than Alfredo.
1) David is the tallest and Alfredo is the shortest
\(b \quad a \quad c=b+5 \)
2) David is the tallest and Adam is the shortest
\(a \quad b \quad c=b+5 \)
As we have two conflicting answers to the question, the statement is not sufficient.
Option A
07 Apr 2023, 07:00
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gmatophobia
Hello gmatophobia,
couldn't we arrange it in statement 1 as
" c a b " too if Adam and Alfredo are equally tall and taller than david?
Thank you very much in advance!
Best regards
