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If x is greater than 105 percent of w, is x > 25? [#permalink]
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29 Nov 2017, 00:33
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If x is greater than 105 percent of w, is x > 25? [#permalink]
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29 Nov 2017, 01:56
Bunuel wrote: If x is greater than 105 percent of w, is x > 25?
(1) x – w = 5 (2) w > 25 Try to answer : Question : \(X>\frac{(105w)}{100}\); \(x>25\)? Statement 1 \(xw=5\) > \(x=w+5\).  Plug into initial inequality : \(w+5>\frac{(105w)}{100}\) > \((100)w+5>(105w)\) > \(100w+500>105w\) > \(5w<100\) or \(w<20\)  Then, if \(w=20\), X must be less than 25.  SUFFICIENT. Statement 2 itself sufficient.D.
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Re: If x is greater than 105 percent of w, is x > 25? [#permalink]
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29 Nov 2017, 11:09
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Bunuel wrote: If x is greater than 105 percent of w, is x > 25?
(1) x – w = 5 (2) w > 25 x > 1.05w... xw>.05w From Stmn1: 5>w/20.. w < 100..Not Sufficient. From Stmn2: x > 1.05 w.. sufficient
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Re: If x is greater than 105 percent of w, is x > 25? [#permalink]
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29 Nov 2017, 11:17
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septwibowo wrote: Bunuel wrote: If x is greater than 105 percent of w, is x > 25?
(1) x – w = 5 (2) w > 25 Try to answer : Question : \(X>\frac{(105w)}{100}\); \(x>25\)? Statement 1 \(xw=5\) > \(x=w+5\).  Plug into initial inequality : \(w+5>\frac{(105w)}{100}\) > \((100)w+5>(105w)\) > \(100w+500>105w\) > \( 5w<100\) or \(w<20\)  Then, if \(w=20\), X must be less than 25.  SUFFICIENT. Statement 2 itself sufficient.D. Hi septwibowothe highlighted portion is incorrect, hence you got option A as sufficient. it should be w<100.



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If x is greater than 105 percent of w, is x > 25? [#permalink]
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29 Nov 2017, 13:58
Bunuel wrote: If x is greater than 105 percent of w, is x > 25?
(1) x – w = 5 (2) w > 25 \(x>\frac{21w}{20}\) ; \(20x>21w\). \(x>25?\) \(w>25....(II)\)... Sufficient \(xw= 5...(I)\)... Insufficient, i.e \(5.5 0.5= 5\) fufills the constraint , yet \(5.5<25\) and \(10095= 5\) also does, but \(100>25\). Hence, the answer is B.



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Re: If x is greater than 105 percent of w, is x > 25? [#permalink]
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29 Nov 2017, 23:29
niks18 wrote: septwibowo wrote: Bunuel wrote: If x is greater than 105 percent of w, is x > 25?
(1) x – w = 5 (2) w > 25 Try to answer : Question : \(X>\frac{(105w)}{100}\); \(x>25\)? Statement 1 \(xw=5\) > \(x=w+5\).  Plug into initial inequality : \(w+5>\frac{(105w)}{100}\) > \((100)w+5>(105w)\) > \(100w+500>105w\) > \( 5w<100\) or \(w<20\)  Then, if \(w=20\), X must be less than 25.  SUFFICIENT. Statement 2 itself sufficient.D. Hi septwibowothe highlighted portion is incorrect, hence you got option A as sufficient. it should be w<100. Ahhhh! my bad! Thanks anyway niks18 !
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Re: If x is greater than 105 percent of w, is x > 25? [#permalink]
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30 Nov 2017, 07:32
Simplifying the question stem
It becomes x > 1.05 W, then the question is asking whether x > 25?
1) x  w =5
This will be x = 5 + w which may yield a yes or no. so insufficient if w = 5 then x = 10 <25 no. However, if w = 30 then x = 35 > 25 yes. Getting two answers makes the statement insufficient.
2) w > 25, given that x > 1.05w then x > 25 yes.
B is sufficient.



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Re: If x is greater than 105 percent of w, is x > 25? [#permalink]
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04 Dec 2017, 11:45
Bunuel wrote: If x is greater than 105 percent of w, is x > 25?
(1) x – w = 5 (2) w > 25 We have that x > 1.05w, and need to determine whether x > 25. Statement One Alone: x  w = 5 Thus, x  5 = w, so we have: x > 1.05(x  5) x > 1.05x  5.25 5.25 > 0.05x 525 > 5x 105 > x We see that x is less than 105, but it doesn’t mean x is greater than 25. Statement one alone is not sufficient to answer the question. Statement Two Alone: w > 25 Since x >1.05w and w > 25, x must also be greater than 25. Answer: B
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