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14 Mar 2023, 10:15
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A
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:
60% (01:22) correct
40%
(01:46)
wrong
based on 30
sessions
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If |a| > |b|, is a > b ?
(1) a > 0
(2) b < 0
(1) a > 0
(2) b < 0
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
14 Mar 2023, 14:24
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Bunuel
It is given that the distance of a from 0 is greater than the distance of b from 0.
Statement 1
(1) a > 0
As a is positive, it lies to the right of 0. Now b can either be positive or it can be negative, however in both cases, the value of b has to be less than the value of a.
To visualize this, let's plot the details over a number line.
---------- -b ---------- 0 ---------- b ------------------------------ a ----------
In both cases, b is less than a. The statement is therefore sufficient.
Statement 2
(2) b < 0
The statement tells us that "b" lies to the left of 0 on a number. However, "a" can lie to the left of "b" (i.e. "a" can be less than "b"), or "a" can lie to the right of "b" (i.e. "a" can be greater than "b")
We can plot the information over a number line and view the same
---------- a ---------- b ---------- 0 -------------------- a ----------
Hence statement 2 is not sufficient.
Option A
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