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# If q, r, s and t are positive, does s = t?

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Intern
Joined: 04 Jun 2010
Posts: 5
If q, r, s and t are positive, does s = t?  [#permalink]

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18 Dec 2010, 13:01
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Question Stats:

80% (01:23) correct 20% (01:30) wrong based on 50 sessions

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If q, r, s and t are positive, does s = t?

(1) $$\frac{0.9qs}{0.18\sqrt{q}} = 5\sqrt{q}rt$$
(2) r = 1
Manager
Joined: 25 Jun 2010
Posts: 88
Re: If q, r, s and t are positive, does s = t?  [#permalink]

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18 Dec 2010, 22:29
1
Runirish wrote:
This is my first post. For whatever reason, the explanation makes no sense to me.

If q,r,s and t are positive, does s = t?

1. $$\frac{0.9qs}{0.18\sqrt{q}} = 5\sqrt{q}rt$$
2. r = 1

s = t?

Statement 1:
0.9qs = 0.18*5*qrt
=> s = rt - Insufficient

Statement 2 :
r =1 - clearly Insufficient

Combining :

s = rt = 1*t = t ---> sufficient

SVP
Status: Three Down.
Joined: 09 Jun 2010
Posts: 1868
Concentration: General Management, Nonprofit
Re: If q, r, s and t are positive, does s = t?  [#permalink]

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19 Dec 2010, 01:23
2
1
Runirish wrote:
This is my first post. For whatever reason, the explanation makes no sense to me.

If q,r,s and t are positive, does s = t?

1. $$\frac{0.9qs}{0.18\sqrt{q}} = 5\sqrt{q}rt$$
2. r = 1

$$\frac{0.9qs}{0.18\sqrt{q}} = 5\sqrt{q}rt$$ means that $$5\sqrt{q}s = 5\sqrt{q}rt$$. This means that s = rt. But we are asked if s = t, and hence INSUFFICIENT.

Statement 2 says r = 1, which is insufficient by itself. If you combine the two, then you get s = t. Sufficient.

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Joined: 09 Sep 2013
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Re: If q, r, s and t are positive, does s = t?  [#permalink]

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26 Jul 2018, 08:45
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Re: If q, r, s and t are positive, does s = t? &nbs [#permalink] 26 Jul 2018, 08:45
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