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Updated on: 06 Sep 2018, 23:06
Originally posted by GMATBusters on 06 Sep 2018, 22:50.
Last edited by Bunuel on 06 Sep 2018, 23:06, edited 1 time in total.
Last edited by Bunuel on 06 Sep 2018, 23:06, edited 1 time in total.
Renamed the topic and edited the question.
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
60% (01:36) correct
40%
(01:24)
wrong
based on 197
sessions
History
Date
Time
Result
Not Attempted Yet
06 Sep 2018, 23:40
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Is \(3^x >\frac{x}{|x|}\)
two cases..
a) x is negative \(\frac{x}{|x|}=-1\) and \(3^x>0\) as \(3^{-a}=\frac{1}{3^a}\)...\(3^x >\frac{x}{|x|}\)
b) x is positive \(\frac{x}{|x|}=1\) and \(3^x>1\) ........\(3^x >\frac{x}{|x|}\)
c) x is 0, \(\frac{x}{|x|}=undefined\) and \(3^x=1\)
so Only in case (c), we cannot say anything as it is undefined...
But would GMAT give you an undefined qty.. doubtful
(1) \(|x| = 3\)
\(x\neq{0}\)
case (a} or case (b), ans is YES
suff
(2) \(x < 0\)
\(x\neq{0}\)
case (a} , ans is YES
suff
D
two cases..
a) x is negative \(\frac{x}{|x|}=-1\) and \(3^x>0\) as \(3^{-a}=\frac{1}{3^a}\)...\(3^x >\frac{x}{|x|}\)
b) x is positive \(\frac{x}{|x|}=1\) and \(3^x>1\) ........\(3^x >\frac{x}{|x|}\)
c) x is 0, \(\frac{x}{|x|}=undefined\) and \(3^x=1\)
so Only in case (c), we cannot say anything as it is undefined...
But would GMAT give you an undefined qty.. doubtful
(1) \(|x| = 3\)
\(x\neq{0}\)
case (a} or case (b), ans is YES
suff
(2) \(x < 0\)
\(x\neq{0}\)
case (a} , ans is YES
suff
D
General Discussion
06 Sep 2018, 23:30
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Hi,
Answer should be “D”.
Question: Is 3^x > x/|x| ?
This is a YES-NO DS question.
Before moving onto the question, always analyse the given question stem.
If “x” is a positive integer, then answer to the question would be YES. Because 3 raised to a power(Integer) always a greater value than 1(Right hand side).
Example: 3 ^10 > 10 /|10| = 3^10 > 1
If “x” is a negative value, then answer to the question would be YES. Because 3 raised to a power of negative value brings the value to the denominator(1/3^x) which is a positive number and right
hand side is a negative value(-1)
If “x” is a fraction, then it depends on the what fraction it is, So answer could be either YES or NO. Because 3 raised to a fractional power maybe equal to or greater than 1.
So, now let’s look at what statements have to offer.
Statement I is sufficient:
|x| = 3
x = +3 / -3
For both x = 3 and -3
3^x is greater than x/|x|
Answer to the question would be YES.
Sufficient.
Statement II is sufficient:
x < 0
As we did the analysis above, if “x” is a negative value then answer to the question would be YES. Because right hand side value of the question is a negative(-1) and left hand side would be positive number.
Sufficient.
So the answer is D.
Hope it helps.
Answer should be “D”.
Question: Is 3^x > x/|x| ?
This is a YES-NO DS question.
Before moving onto the question, always analyse the given question stem.
If “x” is a positive integer, then answer to the question would be YES. Because 3 raised to a power(Integer) always a greater value than 1(Right hand side).
Example: 3 ^10 > 10 /|10| = 3^10 > 1
If “x” is a negative value, then answer to the question would be YES. Because 3 raised to a power of negative value brings the value to the denominator(1/3^x) which is a positive number and right
hand side is a negative value(-1)
If “x” is a fraction, then it depends on the what fraction it is, So answer could be either YES or NO. Because 3 raised to a fractional power maybe equal to or greater than 1.
So, now let’s look at what statements have to offer.
Statement I is sufficient:
|x| = 3
x = +3 / -3
For both x = 3 and -3
3^x is greater than x/|x|
Answer to the question would be YES.
Sufficient.
Statement II is sufficient:
x < 0
As we did the analysis above, if “x” is a negative value then answer to the question would be YES. Because right hand side value of the question is a negative(-1) and left hand side would be positive number.
Sufficient.
So the answer is D.
Hope it helps.
