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01 Nov 2018, 00:19
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C
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:
70% (01:30) correct
30%
(01:31)
wrong
based on 199
sessions
History
Date
Time
Result
Not Attempted Yet
If abc ≠ 0, is a (b + c) ≥ 0?
(1) |b + c| = |b| + |c|
(2) |a + b| = |a| + |b|
(1) |b + c| = |b| + |c|
(2) |a + b| = |a| + |b|
01 Nov 2018, 01:41
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Bunuel
Question: is a (b + c) ≥ 0?
To answer this question we need
1) Sign of a (without knowing the absolute value of a)
2) Sign of (b+c)
Statement 1: |b + c| = |b| + |c|
i.e. b and c both have same sign
i.e. either ba nd c both are positive or both are negative
Sign of a is unknown also sign of (b+c) is unknown hence
NOT SUFFICIENT
Statement 2: |a + b| = |a| + |b|
i.e. b and a both have same sign
i.e. either b and a both are positive or both are negative
Sign of a is unknown also sign of (b+c) is unknown hence
NOT SUFFICIENT
Combining the two statements
Case 1: all a, b and c are positive, in this case a (b + c) is Greater than 0
Case 2: all a, b and c are Negative, in this case also a (b + c) is Greater than 0 hence
SUFFICIENT
Answer: Option C
gmatdordie
Joined: 13 Nov 2018
Last visit: 02 Jun 2020
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Location: India
Schools: Rotman '21 Ivey '21 Queen's Jan20 Intake
GMAT 1: 700 Q51 V32
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21 Nov 2018, 13:27
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Bunuel
Hi Bunuel,
any simpler approach to solve the question.
Please help!!!
