Confusing DS

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Source: — Data Sufficiency |

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by Anurag@Gurome » Fri Jan 27, 2012 4:33 am
gilm wrote:if pqrst=4 , is p=1/q
stat 1) r=s=t
stat 2) three of pqrst are integers.
(1) r = s = t
pq * r^3 = 4
Now in case p = 1/q, then rst = 4 or r^3 = 4 or r = (4)^(1/3) but this is not confirmed as r may or may not be (4)^(1/3); NOT sufficient.

(2) Three of pqrst are integers implies if p = 2 then q = 1/2, not an integer.
If p = 1, then q = 1, an integer.
Still not confirmed if p = 1/q; NOT sufficient.

Combining (1) and (2), If r = s = t = 1, an integer, then pq * 1 = 4, which cannot be true if p = 1/q
If r = s = t = 2, then pq * 8 = 4, which is again not true if p = 1/q. So, p is not equal to 1/q; SUFFICIENT.

The correct answer is C.
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by gilm » Fri Jan 27, 2012 4:36 am
Thank you. Thats a really good explanation!!

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by Anurag@Gurome » Fri Jan 27, 2012 4:37 am
gilm wrote:Thank you. Thats a really good explanation!!
You are welcome.
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