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18 Sep 2018, 22:10
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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:
75%
(hard)
Question Stats:
38% (01:30) correct
62%
(01:34)
wrong
based on 130
sessions
History
Date
Time
Result
Not Attempted Yet
What is the area of quadrilateral ABCD?
(1) l^2 + 2lw + w^2 = 16
(2) l^2 – 2lw + w^2 = 4
Are You Up For the Challenge: 700 Level Questions
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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
18 Sep 2018, 22:47
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Bunuel
Notice that the type of quadrilateral is not mentioned explicitly or implicitly neither in the question stem nor in the statements.
Also, notations l and w are provided for two sides only . Measure of other 2 sides of the quadrilateral may be any value.
Hence , combined also we don't have any additional info on measurement of angle if any other property of the quadrilateral ,which would ensure unique measure of area of the quadrilateral.
Therefore, insufficient.
Ans (E)
P.S. As per official guide, figures confirm to the information given in the question.
19 Sep 2018, 03:32
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Given:
To find:
Analysing Statement 1
“\(l^2 + 2lw + w^2 = 16\)”
However, we cannot infer anything about the other two sides of the quadrilateral.
So, we cannot find the area of ABCD
Therefore, Statement 1 is NOT sufficient to arrive at a unique answer
Analysing Statement 2
“\(l^2 - 2lw + w^2 = 4\)”
However, we cannot infer anything about the other two sides of the quadrilateral.
So, we cannot find the area of ABCD
Therefore, Statement 2 is NOT sufficient to arrive at a unique answer
Combining Both Statements
However, we cannot infer anything about the other two sides of the quadrilateral.
So, we cannot find the area of ABCD
Therefore, both statements TOGETHER are NOT sufficient to arrive at a unique answer
Hence, the correct answer is option E.
Answer: E
- • A quadrilateral ABCD, and
• AD = l and DC = w
To find:
- • The area of the quadrilateral, ABCD
Analysing Statement 1
“\(l^2 + 2lw + w^2 = 16\)”
- • Implies, l + w = 4
However, we cannot infer anything about the other two sides of the quadrilateral.
So, we cannot find the area of ABCD
Therefore, Statement 1 is NOT sufficient to arrive at a unique answer
Analysing Statement 2
“\(l^2 - 2lw + w^2 = 4\)”
- • Implies, l – w = 2
However, we cannot infer anything about the other two sides of the quadrilateral.
So, we cannot find the area of ABCD
Therefore, Statement 2 is NOT sufficient to arrive at a unique answer
Combining Both Statements
- • From Statement 1, we know, l + w = 4
• From Statement 2, we know, l - w = 2
• Solving the above equations, we get, l = 3 and w = 1
However, we cannot infer anything about the other two sides of the quadrilateral.
So, we cannot find the area of ABCD
Therefore, both statements TOGETHER are NOT sufficient to arrive at a unique answer
Hence, the correct answer is option E.
Answer: E
