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12 Jan 2023, 11:15
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
69% (01:36) correct
31%
(01:48)
wrong
based on 35
sessions
History
Date
Time
Result
Not Attempted Yet
If a ≠ 0, is b < a < c ?
(1) b < |a| < c
(2) |b| < |a| < |c|
(1) b < |a| < c
(2) |b| < |a| < |c|
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
12 Jan 2023, 12:35
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Bunuel
Is b < a < c ?
Inference: We want to know when plotted on a number line, is the position of a , b and c as follows -
--------- b --------- a --------- c ---------
Statement 1
(1) b < |a| < c
As c > |a|, c is positive. Hence c lies to the left of zero on a number line. We can have below two cases
Case 1
---------- a ---------- b --- 0 -------------------- |a| -------- c ----------
Case 2
-------------------- b --- 0 -------------------- a -------- c ----------
The statement is not sufficient. Hence we can eliminate A and D.
Statement 2
|b| < |a| < |c|
Case 1
----- c -------- a --------- b --------- 0 -------
Case 2
--------- b --------- 0 -------------- a --------- c
The statement is not sufficient. Hence we can eliminate B.
Combined
The statements combined don't help either. We can still have both the possibilities from statement 1
Option E
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