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# Is a < b ? (1) a < 2b (2) 2a < b

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Math Expert
Joined: 02 Sep 2009
Posts: 60460
Is a < b ? (1) a < 2b (2) 2a < b  [#permalink]

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04 Dec 2019, 02:29
00:00

Difficulty:

65% (hard)

Question Stats:

54% (01:36) correct 46% (01:00) wrong based on 24 sessions

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Is $$a < b$$ ?

(1) $$a < 2b$$

(2) $$2a < b$$

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Math Expert
Joined: 02 Aug 2009
Posts: 8341
Re: Is a < b ? (1) a < 2b (2) 2a < b  [#permalink]

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04 Dec 2019, 05:53
Is $$a < b$$ ?

(1) $$a < 2b$$
Depends ..
Say a=2 and b=4...Yes
But if a=2 and b=2...No

(2) $$2a < b$$
Depends on the sign
Say a is positive, then a<2a<b...yes
But if a and b are negative, say a=-2 and b=-3..2*(-2)<-3 but -2>-3

Combined
a+2a<2b+b......3a<3b.....a<b
Suff

C
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Re: Is a < b ? (1) a < 2b (2) 2a < b   [#permalink] 04 Dec 2019, 05:53
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