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Difficulty:
85%
(hard)
Question Stats:
41% (01:48) correct
59%
(02:05)
wrong
based on 141
sessions
History
Date
Time
Result
Not Attempted Yet
Is the product of x and y greater than the sum of x and y?
(1) xy < 0
(2) x > -y
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(1) xy < 0
(2) x > -y
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
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Solution
To find:
- • Is the product of x and y greater than the sum of x and y
Analysing Statement 1
- • As per the information provided in statement 1, xy < 0
o From this statement, we cannot conclude any result as we don’t know anything about the sum of x and y
Hence, statement 1 is not sufficient to answer
Analysing Statement 2
- • As per the information provided in statement 1, x > -y
o Or, x + y > 0
o From this statement, we cannot conclude any result as we don’t know anything about the product of x and y
Hence, statement 2 is not sufficient to answer
Combining Both Statements
If we combine the information from both the statements, we can say
- • xy < 0 and x + y > 0
• As xy is negative and x + y is positive, xy < x + y
Hence, the correct answer is option C.
Answer: C
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