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13 Oct 2016, 08:22
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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:
65%
(hard)
Question Stats:
52% (01:47) correct
48%
(02:07)
wrong
based on 175
sessions
History
Date
Time
Result
Not Attempted Yet
If x is an integer, what is the value of x?
1) x2 - 4x + 3 < 0
2) |2x - 4| < 1
NOTE: Kudos for all correct solutions.
1) x2 - 4x + 3 < 0
2) |2x - 4| < 1
NOTE: Kudos for all correct solutions.
Video solution here: https://www.gmatprepnow.com/module/gmat ... /video/987
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13 Oct 2016, 09:53
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x = ?
St1: x^2 - 4x + 3 < 0
x^2 - 3x - x + 3 < 0
x(x - 3) -1(x - 3) < 0
(x - 3)(x - 1) < 0
x < 3 and x > 1
Since x is an integer, value of x = 2
Sufficient
St2: |2x - 4| < 1
|2x - 4| is non negative and x is an integer
2x - 4 = 0
x = 2
Sufficient
Answer: D
St1: x^2 - 4x + 3 < 0
x^2 - 3x - x + 3 < 0
x(x - 3) -1(x - 3) < 0
(x - 3)(x - 1) < 0
x < 3 and x > 1
Since x is an integer, value of x = 2
Sufficient
St2: |2x - 4| < 1
|2x - 4| is non negative and x is an integer
2x - 4 = 0
x = 2
Sufficient
Answer: D
13 Oct 2016, 09:59
Kudos
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GMATPrepNow
Hi
(1)
\(x^2-4x+3<0......x^2-4x+4-1<0......x^2-4x+4<1.....(x-2)^2<1..\)
Since (x-2)^2 cannot be NEGATIVE, only possible value is 0..
So x-2=0...x=2
Sufficient
(2)
|2x-4|<1....
Since MOD cannot be NEGATIVE, 2x-4=0...x=2
Sufficient
D
