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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: 3
If q, r, s and t are positive, does s = t?  [#permalink]

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18 Dec 2010, 12:01
00:00

Difficulty:

25% (medium)

Question Stats:

84% (01:39) correct 16% (01:55) wrong based on 53 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: 87
Re: If q, r, s and t are positive, does s = t?  [#permalink]

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18 Dec 2010, 21:29
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: 1855
Concentration: General Management, Nonprofit
Re: If q, r, s and t are positive, does s = t?  [#permalink]

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19 Dec 2010, 00:23
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.

Non-Human User
Joined: 09 Sep 2013
Posts: 9207
Re: If q, r, s and t are positive, does s = t?  [#permalink]

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26 Jul 2018, 07:45
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: If q, r, s and t are positive, does s = t? &nbs [#permalink] 26 Jul 2018, 07:45
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