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20 Sep 2023, 05:15
Kudos
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
38% (01:19) correct
62%
(01:10)
wrong
based on 100
sessions
History
Date
Time
Result
Not Attempted Yet
Is u > w?
(1) u = ∣w∣
(2) w = ∣u∣
(1) u = ∣w∣
(2) w = ∣u∣
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
20 Sep 2023, 21:46
Kudos
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Is u > w?
(1) u = ∣w∣
We can say that u is non negative.
If w is 0, answer is No
If w is positive, say 2, answer is No.
If w is negative, say -2, answer is Yes.
Insufficient
(2) w = ∣u∣
We can say that w is non negative.
If u is 0, answer is No
If u is positive, say 2, answer is No.
If u is negative, say -2, answer is again No.
So, either w is equal to u or w is greater than u.
In each case answer is No.
sufficient
B
(1) u = ∣w∣
We can say that u is non negative.
If w is 0, answer is No
If w is positive, say 2, answer is No.
If w is negative, say -2, answer is Yes.
Insufficient
(2) w = ∣u∣
We can say that w is non negative.
If u is 0, answer is No
If u is positive, say 2, answer is No.
If u is negative, say -2, answer is again No.
So, either w is equal to u or w is greater than u.
In each case answer is No.
sufficient
B
16 Mar 2025, 01:59
Kudos
Bookmarks
Evaluating Statement (1) Alone
u = |w|
• Since absolute value is always non-negative, we know that \(u \not< 0\).
• The value of w could be either positive or negative, but u is always the non-negative version of w.
• Possible cases:
• If w > 0, then u = w and thus \( u \not> w \).
• If w < 0, then u = -w and thus \( u > w \).
we cannot definitively determine whether u > w.
Statement (1) alone is insufficient.
Evaluating Statement (2) Alone
w = |u|
• Since absolute value is always non-negative, we know that \( w \not< 0 \).
• The value of u could be either positive or negative, but w is always the non-negative version of u.
• Possible cases:
• If u > 0, then u = w and thus \( u \not> w \).
• If u < 0, then u = -w and thus \( u \not> w \).
Since in both case \( u \not> w \), we can definitively determine whether u > w.
Statement (2) alone is sufficient.
Option B
u = |w|
• Since absolute value is always non-negative, we know that \(u \not< 0\).
• The value of w could be either positive or negative, but u is always the non-negative version of w.
• Possible cases:
• If w > 0, then u = w and thus \( u \not> w \).
• If w < 0, then u = -w and thus \( u > w \).
Statement (1) alone is insufficient.
Evaluating Statement (2) Alone
w = |u|
• Since absolute value is always non-negative, we know that \( w \not< 0 \).
• The value of u could be either positive or negative, but w is always the non-negative version of u.
• Possible cases:
• If u > 0, then u = w and thus \( u \not> w \).
• If u < 0, then u = -w and thus \( u \not> w \).
Statement (2) alone is sufficient.
Option B
Bunuel
