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Difficulty:
65%
(hard)
Question Stats:
37% (01:01) correct
63%
(00:41)
wrong
based on 317
sessions
History
Date
Time
Result
Not Attempted Yet
Is x negative?
(1) x^2 is a positive number
(2) x * |y| is not a positive number
(1) x^2 is a positive number
(2) x * |y| is not a positive number
02 Jun 2013, 04:45
Kudos
Bookmarks
Is x negative?
(i) x^2 is a positive number
\(x^2>0\), so \(x\neq{0}\), not sufficient to say that it is negative.
(ii) x * |y| is not a positive number
\(x*|y|\leq{0}\), so y could be 0 and x could have any value (positive, negative, or zero) and this would be respected
Not sufficient.
1+2)Still y could be 0, and in this case x, which now we know cannot be zero, could still equal a positive or negative number.
Example \(2*0\leq{0}\) this respects both conditions and x is positive, or \(-2*0\leq{0}\) here x is negative.
Not sufficient
E
(i) x^2 is a positive number
\(x^2>0\), so \(x\neq{0}\), not sufficient to say that it is negative.
(ii) x * |y| is not a positive number
\(x*|y|\leq{0}\), so y could be 0 and x could have any value (positive, negative, or zero) and this would be respected
Not sufficient.
1+2)Still y could be 0, and in this case x, which now we know cannot be zero, could still equal a positive or negative number.
Example \(2*0\leq{0}\) this respects both conditions and x is positive, or \(-2*0\leq{0}\) here x is negative.
Not sufficient
E
02 Jun 2013, 05:01
Kudos
Bookmarks
Zarrolou
Is x negative?
(i) x^2 is a positive number
\(x^2>0\), so \(x\neq{0}\), not sufficient to say that it is negative.
(ii) x * |y| is not a positive number
\(x*|y|\leq{0}\), so y could be 0 and x could have any value (positive, negative, or zero) and this would be respected
Not sufficient.
1+2)Still y could be 0, and in this case x, which now we know cannot be zero, could still equal a positive or negative number.
Example \(2*0\leq{0}\) this respects both conditions and x is positive, or \(-2*0\leq{0}\) here x is negative.
Not sufficient
E
(i) x^2 is a positive number
\(x^2>0\), so \(x\neq{0}\), not sufficient to say that it is negative.
(ii) x * |y| is not a positive number
\(x*|y|\leq{0}\), so y could be 0 and x could have any value (positive, negative, or zero) and this would be respected
Not sufficient.
1+2)Still y could be 0, and in this case x, which now we know cannot be zero, could still equal a positive or negative number.
Example \(2*0\leq{0}\) this respects both conditions and x is positive, or \(-2*0\leq{0}\) here x is negative.
Not sufficient
E
Hi Zarrolou,
I thought mod of Zero was illegal.
in (ii) x could be zero. But together we know x cannot be zero hence negative.
