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15 Nov 2019, 02:27
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
66% (01:50) correct
34%
(01:46)
wrong
based on 441
sessions
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If a, b, and c are positive, is \(a > \frac{b + c}{2}\) ?
(1) On the number line, a is closer to b than it is to c.
(2) b > c
Are You Up For the Challenge: 700 Level Questions
(1) On the number line, a is closer to b than it is to c.
(2) b > c
Are You Up For the Challenge: 700 Level Questions
15 Nov 2019, 06:08
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If a, b, and c are positive, is \(a > \frac{b + c}{2}\) ?
The question is asking us whether a is greater than the average of b and c.
(1) On the number line, a is closer to b than it is to c.
The answer will be depend on the relative values of b and c.
0...a..b...|...c -------- NO
0...b..a.|.....c --------NO
0...c.|.b..a -----YES
0...c.....|...a..b ---YES
Insuff
(2) b > c
Nothing about a.
Insuff
Combined
c is closer to 0, and a is more than midpoint of b and c, so answer is YES
0...c.|.b..a -----YES
0...c....|....a..b ---YES
Suff
C
The question is asking us whether a is greater than the average of b and c.
(1) On the number line, a is closer to b than it is to c.
The answer will be depend on the relative values of b and c.
0...a..b...|...c -------- NO
0...b..a.|.....c --------NO
0...c.|.b..a -----YES
0...c.....|...a..b ---YES
Insuff
(2) b > c
Nothing about a.
Insuff
Combined
c is closer to 0, and a is more than midpoint of b and c, so answer is YES
0...c.|.b..a -----YES
0...c....|....a..b ---YES
Suff
C
TheUltimateWinner
Joined: 23 Feb 2015
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Schools: Harvard '24 Judge '23 LBS '24 McCombs '24 Mendoza Tepper '24 Ross '24 Cox Marshall '24 Fisher Kelley '24 Jones McDonough '24 Owen '24 Terry BU Simon '24 Katz GWU Mason Babson Gabelli Foster '24 Goizueta '24 Scheller Stern '23 CBS '23 Booth '23 Haas '25 Wharton '25 Stanford '26 Johnson'23 Fuqua '23 Kellogg '23 Kenan-Flagler'23 INSEAD Aug 22 intake Olin '23 Said '23 Sloan '23 Carey Arizona "22 Yale '23 UC Davis Madison '23 Anderson '23 Carroll Carlson '23 Darden '23
Posts: 2,465
07 Apr 2020, 06:57
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Bunuel
Hello Bunuel
The source of this question is Manhattan Advanced Quant 2nd edition. Chapter-7; Exercise-3.
Thanks__
