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.
Guys ,
If i don't rephrase the question so our target question is x-1/16 > 5/8?
Statement 1 - 4x < 3
x < 3/4 or x < 0.75
if i take x = 0.70 so the answer of our target question is NO.
if i take x = 0.65 still will get NO answer .
So this statement is sufficient right???
OA E
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x – 1/16 greater than 5/8
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j_shreyans
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x - 1/16 > 5/8j_shreyans wrote: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.
x > 5/8 + 1/16
x > 11/16
Question stem, rephrased: Is x > 11/16?
Statement 1: Four times the value of x is less than three.
4x < 3.
x < 3/4
x < 12/16.
If x = 11/16, then the answer to the rephrased question stem is NO.
If x = (11.5)/16, then the answer to the rephrased question stem is YES.
INSUFFICIENT.
Statement 2: One third of two is less than the value of x.
(1/3)(2) < x
x > 2/3.
Since 2/3 = 32/48, and 11/16 = 33/48, 11/16 > 2/3.
Thus, the two values used to satisfy statement 1 -- 11/16 and (11.5)/16 -- also satisfy statement 2.
Thus, even when both statements are satisfied, the answer to the rephrased question stem can be NO or YES.
The correct answer is E.
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Brent@GMATPrepNow
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If x = 0.70 then the answer to the target question is YES.j_shreyans wrote: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.
Guys ,
If i don't rephrase the question so our target question is x-1/16 > 5/8?
Statement 1 - 4x < 3
x < 3/4 or x < 0.75
if i take x = 0.70 so the answer of our target question is NO.
if i take x = 0.65 still will get NO answer .
So this statement is sufficient right???
OA E
Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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Brent@GMATPrepNow
- GMAT Instructor
- Posts: 16207
- Joined: Mon Dec 08, 2008 6:26 pm
- Location: Vancouver, BC
- Thanked: 5254 times
- Followed by:1268 members
- GMAT Score:770
Some students might find it easier to convert all fractions to DECIMALS.j_shreyans wrote:Is x - 1/16 greater than 5/8?
(1) 4 times the value of x is less than three.
(2) 1/3 of 2 is less than the value of x.
Target question: Is x - 1/16 greater than 5/8
In other words, "Is x - 0.0625 > 0.625?"
Add 0.0625 to both sides to get....
REPHRASED target question: Is x > 0.6875
Statement 1: 4 times the value of x is less than three.
In other words, 4x < 3
Divide both sides by 4 to get: x < 0.75
There are several values of x that satisfy this condition. Here are two:
Case a: x = 0.74 in which case x > 0.6875
Case b: x = 0.68 in which case x < 0.6875
Since we cannot answer the REPHRASED target question with certainty, statement 1 is NOT SUFFICIENT
Statement 2: 1/3 of 2 is less than the value of x
In other words, 2/3 < x
Or we can say: 0.6666.. < x
There are several values of x that satisfy this condition. Here are two:
Case a: x = 0.74 in which case x > 0.6875
Case b: x = 0.68 in which case x < 0.6875
Since we cannot answer the REPHRASED target question with certainty, statement 2 is NOT SUFFICIENT
Statements 1 and 2 combined
Statement 1 tells us that x < 0.75
Statement 2 tells us that 0.6666.. < x
COMBINED, we get: 0.6666.. < x < 0.75
There are several values of x that satisfy this condition. Here are two:
Case a: x = 0.74 in which case x > 0.6875
Case b: x = 0.68 in which case x < 0.6875
Since we cannot answer the REPHRASED target question with certainty, the combined statements are NOT SUFFICIENT
Answer = E
Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
