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05 Jul 2018, 08:30
Kudos
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C
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Difficulty:
55%
(hard)
Question Stats:
58% (02:01) correct
42%
(02:05)
wrong
based on 106
sessions
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If x and y are real numbers,is |2x - 7| > y ?
(1) y^2 = 16.
(2) x is a negative number.
Posted from my mobile device
(1) y^2 = 16.
(2) x is a negative number.
Posted from my mobile device
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
05 Jul 2018, 09:14
Kudos
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my approach
1 stm: \(y^2\)=16 y=4 or y=-4 we know that modulus is always positive so we have to focus on y=4; nothing about x insuff.
2 stm: x is negative means that the modulus is >7; nothing about y. unsuff.
together we know that left side is >7 and the right side may take maximum value of 4. suff
In My Opinion
Ans: C
1 stm: \(y^2\)=16 y=4 or y=-4 we know that modulus is always positive so we have to focus on y=4; nothing about x insuff.
2 stm: x is negative means that the modulus is >7; nothing about y. unsuff.
together we know that left side is >7 and the right side may take maximum value of 4. suff
In My Opinion
Ans: C
05 Jul 2018, 09:16
Kudos
Bookmarks
If x and y are real numbers,is |2x - 7| > y ?
(1) y^2 = 16.
y can be 4 or -4
but nothing about x..
say x is 2 and y is 4....|2*2-7|>4.....3>4...NO
say x is 2 and y is -4......YES
insuff
(2) x is a negative number.
nothing about y...
insuff
combined
|2x-7|>4, lets take the max possible value of y
if x is negative |2x-7| will always be >7
so 7>4
sufficient
C
(1) y^2 = 16.
y can be 4 or -4
but nothing about x..
say x is 2 and y is 4....|2*2-7|>4.....3>4...NO
say x is 2 and y is -4......YES
insuff
(2) x is a negative number.
nothing about y...
insuff
combined
|2x-7|>4, lets take the max possible value of y
if x is negative |2x-7| will always be >7
so 7>4
sufficient
C
