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04 Nov 2007, 08:19
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
56% (02:26) correct
44%
(02:17)
wrong
based on 604
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Is x – 1/16 greater than 5/8?
(1) Four times the value of x is less than three.
(2) One third of two is less than the value of x.
(1) Four times the value of x is less than three.
(2) One third of two is less than the value of x.
Given : 16x - 1/16 > 5/8 ?
or 16x - 1 > 5 *16/8 = 16x > 10 + 1 = x > 11/16 ? = .6875
(1) -- 4x < 3
x < 3/4 = x <75> 2/3 = x > .67
so .67 <x < .75..
I'm getting C... that's not the answer please help.. Thanks
or 16x - 1 > 5 *16/8 = 16x > 10 + 1 = x > 11/16 ? = .6875
(1) -- 4x < 3
x < 3/4 = x <75> 2/3 = x > .67
so .67 <x < .75..
I'm getting C... that's not the answer please help.. Thanks
09 Feb 2012, 02:49
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Is x – 1/16 greater than 5/8?
Find the least common denominator to make fraction comparison easier.
Question: is \(x-\frac{1}{16}>\frac{5}{8}\)? --> is \(\frac{11}{16}=\frac{33}{48}<x\)?
(1) Four times the value of x is less than three --> \(4x<3\) --> \(x<\frac{3}{4}=\frac{36}{48}\). Not sufficient.
(2) One third of two is less than the value of x --> \(\frac{2}{3}=\frac{32}{48}<x\). Not sufficient.
(1)+(2) \(\frac{32}{48}<x<\frac{36}{48}\). Not sufficient.
Answer: E.
Find the least common denominator to make fraction comparison easier.
Question: is \(x-\frac{1}{16}>\frac{5}{8}\)? --> is \(\frac{11}{16}=\frac{33}{48}<x\)?
(1) Four times the value of x is less than three --> \(4x<3\) --> \(x<\frac{3}{4}=\frac{36}{48}\). Not sufficient.
(2) One third of two is less than the value of x --> \(\frac{2}{3}=\frac{32}{48}<x\). Not sufficient.
(1)+(2) \(\frac{32}{48}<x<\frac{36}{48}\). Not sufficient.
Answer: E.
General Discussion
mbaapp1234
22 May 2017, 19:45
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alimad
This problem can be tackled algebraically. The trick is make sure you work neatly and stop to reflect before deciding sufficiency.
X-1/16 > 5/8?
Or x>11/16?
Goal: Prove (yes/no) that x is in fact greater than 11/16 (or, conversely, that it is equal to or less than 11/16).
Statement 1: 4x<3 or x<3/4. Use the cross multiplication method to compare fractions (3*16 and 4*11). 48>44, so then 3/4 is greater than 11/16. But we know that x is less than 3/4 so it could be less than 11/16 or more than 11/16 because we do not know the relationship between x and 11/16. So this answer is not sufficient because YES or NO is possible.
Statement 2: For this one, we are told that 2/3<x. We can quickly realize that 2/3<11/16. But once again, we cannot state if x is greater than or less than 11/16 because x > 2/3, so it could be between 2/3 and 11/16 or it could be greater than 11/16. Not sufficient.
Combined: Here we know that 2/3 < x < 3/4, but since 11/16 falls in this range, we cannot state whether 11/16 is greater than x definitively.
