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If a > b > c, then all of the following could be true EXCEPT b + c < a

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Joined: 02 Sep 2009
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If a > b > c, then all of the following could be true EXCEPT b + c < a  [#permalink]

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New post 14 Jan 2019, 02:40
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

64% (01:35) correct 36% (01:27) wrong based on 51 sessions

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If a > b > c, then all of the following could be true EXCEPT b + c < a  [#permalink]

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New post Updated on: 14 Jan 2019, 04:53
Bunuel wrote:
If a > b > c, then all of the following could be true EXCEPT

A. b + c < a
B. 2a > b + c
C. 2c > a + b
D. ab > bc
E. a + b > 2b + c


plugin for values 1,0,-1 and 10,8,1

only option c sufficies
IMO C
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Originally posted by Archit3110 on 14 Jan 2019, 02:50.
Last edited by Archit3110 on 14 Jan 2019, 04:53, edited 1 time in total.
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Re: If a > b > c, then all of the following could be true EXCEPT b + c < a  [#permalink]

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New post 14 Jan 2019, 04:51
If a > b > c,

consider 8 > 2 > 1, where a = 8, b = 2, c =1

A. b + c < a => 3 < 8 TRUE
B. 2a > b + c => 16 > 3 TRUE
C. 2c > a + b => 2 > 10 FALSE
D. ab > bc => 16 > 2 TRUE
E. a + b > 2b + c => 10 > 5 TRUE

Except for option C, all other can be true at least once.

OPTION: C
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Re: If a > b > c, then all of the following could be true EXCEPT b + c < a  [#permalink]

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New post 14 Jan 2019, 06:53
eswarchethu135 wrote:
If a > b > c,

consider 8 > 2 > 1, where a = 8, b = 2, c =1

A. b + c < a => 3 < 8 TRUE
B. 2a > b + c => 16 > 3 TRUE
C. 2c > a + b => 2 > 10 FALSE
D. ab > bc => 16 > 2 TRUE
E. a + b > 2b + c => 10 > 5 TRUE

Except for option C, all other can be true at least once.

OPTION: C


Couldn’t you pick negative numbers and this fall apart?

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Re: If a > b > c, then all of the following could be true EXCEPT b + c < a   [#permalink] 14 Jan 2019, 06:53
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If a > b > c, then all of the following could be true EXCEPT b + c < a

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