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05 Feb 2020, 03:01
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Difficulty:
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Question Stats:
63% (01:34) correct
37%
(01:42)
wrong
based on 108
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If p and q are not 0, what is the value of \(p^3*q^3\) ?
(1) \(p^2 – (\frac{4}{q})^2 = 0\)
(2) \(p^3 – (\frac{4}{q})^3 = 0\)
05 Feb 2020, 03:33
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If p and q are not 0, what is the value of \(p^3*q^3\) ?
(1) \(p^2 – (\frac{4}{q})^2 = 0\)
\(p^2 = (\frac{4}{q})^2 \)
\(p^2 * q^2 = 4^2 \)
Square roots both sides, we get -> \(p * q = +/- (2) \)
Insufficient because it will give the result of \(p^3*q^3\) = +8 / -8
A D / B C E
(2) \(p^3 – (\frac{4}{q})^3 = 0\)
\(p^3 = (\frac{4}{q})^3 \)
\(p^3 * q^3 = 4^3 \)
Sufficient
'B' is the winner
(1) \(p^2 – (\frac{4}{q})^2 = 0\)
\(p^2 = (\frac{4}{q})^2 \)
\(p^2 * q^2 = 4^2 \)
Square roots both sides, we get -> \(p * q = +/- (2) \)
Insufficient because it will give the result of \(p^3*q^3\) = +8 / -8
(2) \(p^3 – (\frac{4}{q})^3 = 0\)
\(p^3 = (\frac{4}{q})^3 \)
\(p^3 * q^3 = 4^3 \)
Sufficient
'B' is the winner
shameekv1989
05 Feb 2020, 03:52
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If p and q are not 0, what is the value of \(p3∗q3\) ?
(1) \(p^2\)-\((\frac{4}{q})^2\)=0
\((p+\frac{4}{q})*(p-\frac{4}{q})\)=0 -> \(p=\frac{4}{q}\); \(p=\frac{-4}{q}\)
-> pq = 4; pq=-4 -> \(p^3* q^3 \)=+-64 -> Not Sufficient
(2)\( p^3–(\frac{4}{q})^3\)=0 -> \(p^3 = (\frac{4}{q})^3\) -> \(p^3*q^3\) = \(4^3\) -> Clearly Sufficient
(1) \(p^2\)-\((\frac{4}{q})^2\)=0
\((p+\frac{4}{q})*(p-\frac{4}{q})\)=0 -> \(p=\frac{4}{q}\); \(p=\frac{-4}{q}\)
-> pq = 4; pq=-4 -> \(p^3* q^3 \)=+-64 -> Not Sufficient
(2)\( p^3–(\frac{4}{q})^3\)=0 -> \(p^3 = (\frac{4}{q})^3\) -> \(p^3*q^3\) = \(4^3\) -> Clearly Sufficient
