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24 Feb 2011, 14:19
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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:
55%
(hard)
Question Stats:
62% (01:48) correct
38%
(01:42)
wrong
based on 1004
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If y ≠ 0 and y ≠ -1, which is greater, x/y or x/(y + 1) ?
(1) x ≠ 0.
(2) x > y.
(1) x ≠ 0.
(2) x > y.
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14 Jun 2012, 01:34
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If y is not equal to 0 and y is not equal to 1, which is greater, x/y or x/(y+1)
Is \(\frac{x}{y}>\frac{x}{y+1}\)? --> is \(\frac{x}{y}-\frac{x}{y+1}>0\)? --> is \(\frac{xy+x-xy}{y(y+1)}>0\)? --> is \(\frac{x}{y(y+1)}>0\)?
(1) x ≠ 0. Not sufficient.
(2) x > y. Not sufficient.
(1)+(2) Still not sufficient, for example: if x>0>(y=-1/2) answer is NO but if x>y>0 answer is YES.
Answer: E.
Is \(\frac{x}{y}>\frac{x}{y+1}\)? --> is \(\frac{x}{y}-\frac{x}{y+1}>0\)? --> is \(\frac{xy+x-xy}{y(y+1)}>0\)? --> is \(\frac{x}{y(y+1)}>0\)?
(1) x ≠ 0. Not sufficient.
(2) x > y. Not sufficient.
(1)+(2) Still not sufficient, for example: if x>0>(y=-1/2) answer is NO but if x>y>0 answer is YES.
Answer: E.
General Discussion
24 Feb 2011, 14:23
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If y≠0 and y≠-1, which is greater, x/y or x/(y+1)?
(1) x≠0
(2) x > y
Sol:
(1) x!=0 doesn't tell us anything.
x=10
y=1
\(\frac{x}{y}=10\)
\(\frac{x}{y+1}=\frac{10}{2}=5\)
\(\frac{x}{y}>\frac{x}{y+1}\)
x=-10
y=-2
\(\frac{x}{y}=\frac{-10}{-2}=5\)
\(\frac{x}{y+1}=\frac{-10}{-1}=10\)
\(\frac{x}{y}<\frac{x}{y+1}\)
(2) It tells us that x and y have same sign
x > y
x/y > 1 (same sign)
Use sample set from statement 1.
Not sufficient.
Combining both;
Use sample set from statement 1.
Not Sufficient.
Ans: "E"
(1) x≠0
(2) x > y
Sol:
(1) x!=0 doesn't tell us anything.
x=10
y=1
\(\frac{x}{y}=10\)
\(\frac{x}{y+1}=\frac{10}{2}=5\)
\(\frac{x}{y}>\frac{x}{y+1}\)
x=-10
y=-2
\(\frac{x}{y}=\frac{-10}{-2}=5\)
\(\frac{x}{y+1}=\frac{-10}{-1}=10\)
\(\frac{x}{y}<\frac{x}{y+1}\)
(2) It tells us that x and y have same sign
x > y
x/y > 1 (same sign)
Use sample set from statement 1.
Not sufficient.
Combining both;
Use sample set from statement 1.
Not Sufficient.
Ans: "E"
