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If a < b and b < c which of the following must be true?

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Joined: 02 Sep 2009
Posts: 58402
If a < b and b < c which of the following must be true?  [#permalink]

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14 Jan 2019, 02:48
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25% (medium)

Question Stats:

71% (01:18) correct 29% (01:12) wrong based on 41 sessions

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If a < b and b < c which of the following must be true?

A. b + c < 2a
B. a + b < c
C. a – b < b – c
D. a + b < 2c
E. a + c < 2b

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Re: If a < b and b < c which of the following must be true?  [#permalink]

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14 Jan 2019, 02:58
Bunuel wrote:
If a < b and b < c which of the following must be true?

A. b + c < 2a
B. a + b < c
C. a – b < b – c
D. a + b < 2c
E. a + c < 2b

use values -1,0,1 ; 10,9,8 , 1,2,3
we observe that option D sufficies

IMO D
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GMAT 2: 640 Q49 V27
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Re: If a < b and b < c which of the following must be true?  [#permalink]

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14 Jan 2019, 04:37
1
If a < b and b < c

a < b < c

Consider 1 < 2 < 3, where a = 1, b = 2, c = 3

A. b + c < 2a => 5 < 2 FALSE
B. a + b < c => 3 < 3 FALSE
C. a – b < b – c => -1 < -1 FALSE
D. a + b < 2c => 3 < 6 TRUE
E. a + c < 2b => 4 < 4 FALSE

OPTION: D
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Re: If a < b and b < c which of the following must be true?   [#permalink] 14 Jan 2019, 04:37
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If a < b and b < c which of the following must be true?

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