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Bunuel
Is \(q\) > \(r\)?

(1) \(qr\) = 32 --> if q = 32 and r = 1, the answer will be YES but if q = -32 and r = -11, the answer will be NO. Not sufficient.

(2) \(q^2\) > \(r^2\). This implies that |q| > |r|, so q is further from 0 than r is. Not sufficient.

(1)+(2) We can use examples from (1) again. Not sufficient.

Answer: E.


There is typo. it should be -1
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Bunuel
Is \(q\) > \(r\)?

(1) \(qr\) = 32 --> if q = 32 and r = 1, the answer will be YES but if q = -32 and r = -11, the answer will be NO. Not sufficient.

(2) \(q^2\) > \(r^2\). This implies that |q| > |r|, so q is further from 0 than r is. Not sufficient.

(1)+(2) We can use examples from (1) again. Not sufficient.

Answer: E.


There is typo. it should be -1

Thank you. Edited.
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Thank you it was actually really useful!
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Bunuel
Is \(q\) > \(r\)?

(1) \(qr\) = 32 --> if q = 32 and r = 1, the answer will be YES but if q = -32 and r = -1, the answer will be NO. Not sufficient.

(2) \(q^2\) > \(r^2\). This implies that |q| > |r|, so q is further from 0 than r is. Not sufficient.

(1)+(2) We can use examples from (1) again. Not sufficient.

Answer: E.

Bunuel, What if (2) \(q^{2} > r^{2}\) , \(q^{2}-r^{2} > 0\) , \((q-r)(q+r) > 0\) , \(q-r > 0\) , \(q > r\)?
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ziyuenlau
Bunuel
Is \(q\) > \(r\)?

(1) \(qr\) = 32 --> if q = 32 and r = 1, the answer will be YES but if q = -32 and r = -1, the answer will be NO. Not sufficient.

(2) \(q^2\) > \(r^2\). This implies that |q| > |r|, so q is further from 0 than r is. Not sufficient.

(1)+(2) We can use examples from (1) again. Not sufficient.

Answer: E.

Bunuel, What if (2) \(q^{2} > r^{2}\) , \(q^{2}-r^{2} > 0\) , \((q-r)(q+r) > 0\) , \(q-r > 0\) , \(q > r\)?

How did you get \(q-r > 0\) from \((q-r)(q+r) > 0\)? That's not correct. You cannot reduce by q+r because you don't know its sign.
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