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\(p^a\cdot q^b\cdot r^c\cdot s^d=x,\) where \(x\) is a perfect square. If \(p, q, r,\) and \(s\) are prime integers, are

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by M7MBA » Fri Feb 19, 2021 7:28 am

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\(p^a\cdot q^b\cdot r^c\cdot s^d=x,\) where \(x\) is a perfect square. If \(p, q, r,\) and \(s\) are prime integers, are they distinct?

(1) \(18\) is a factor of \(ab\) and \(cd.\)
(2) \(4\) is not a factor of \(ab\) and \(cd.\)

Answer: B

Source: Manhattan GMAT
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