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For numbers p, q, and r, (p × q × r) < 0
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02 Dec 2018, 09:59
02 Dec 2018, 09:59
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Question Stats:
61% (00:48) correct
38% (00:55) wrong based on 180 sessions
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For numbers \(p\), \(q\), and \(r\), \((p * q * r) < 0\) and \(\frac{(p * q)^2}{r} < 0\)
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given
Quantity A |
Quantity B |
\(p * q\) |
\(0\) |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given
Re: For numbers p, q, and r, (p × q × r) < 0 and Magoosh; Lele,
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02 Dec 2018, 20:36
02 Dec 2018, 20:36
Answer: A
We have (p*q)^2 / r < 0. Since anything in power of 2 or any even is positive then as this expression is negative we can construe that r must be negative.
We have p*q*r <0 so either one or 3 of them are negative.
We know that r is negative. Two approaches are possible either r is negative and p&q are positive, then (p*q) is positive and The answer is A. Or the two of p&q are negative then (p*q) is again positive and bigger than 0, So, the answer is A.
We have (p*q)^2 / r < 0. Since anything in power of 2 or any even is positive then as this expression is negative we can construe that r must be negative.
We have p*q*r <0 so either one or 3 of them are negative.
We know that r is negative. Two approaches are possible either r is negative and p&q are positive, then (p*q) is positive and The answer is A. Or the two of p&q are negative then (p*q) is again positive and bigger than 0, So, the answer is A.
Re: For numbers p, q, and r, (p × q × r) < 0 and Magoosh; Lele,
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03 Dec 2018, 02:19
03 Dec 2018, 02:19
1
Expert Reply
Carcass wrote:
For numbers \(p\), \(q\), and \(r\), \((p * q * r) < 0\) and \(\frac{(p * q)^2}{r} < 0\)
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given
Quantity A |
Quantity B |
\(p * q\) |
\(0\) |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given
\(\frac{(p * q)^2}{r} < 0\)..
since \((p*q)^2\) is positive, r<0...
Now \(p*q*r<0.....(p*q)*r<0\)..
As we know r<0, \(p*q>0.....A>B\)
A
