Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 28 Jul 2015, 14:32

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# If r=0.345, s=(0.345)^2, and t=root(0.345), which of the

Author Message
TAGS:
Math Expert
Joined: 02 Sep 2009
Posts: 28731
Followers: 4576

Kudos [?]: 47178 [0], given: 7108

Re: If r=0.345, s=(0.345)^2, and t=root(0.345), which of the [#permalink]  06 May 2012, 08:47
Expert's post
1
This post was
BOOKMARKED
00:00

Difficulty:

25% (medium)

Question Stats:

70% (01:38) correct 30% (00:39) wrong based on 123 sessions
If $$r=0.345$$, $$s=0.345^2$$, and $$t=\sqrt{0.345}$$, which of the following is the correct ordering of $$r$$, $$s$$, and $$t$$ ?

A. r < s < t
B. r < t < s
C. s < t < r
D. s < r < t
E. t < r < s

If $$x$$ is in the range $$0<x<1$$ then: $$0<x^2<x<\sqrt{x}<1$$.

Consider the simpler example: if $$x=\frac{1}{4}$$ then $$0<\frac{1}{16}<\frac{1}{4}<\frac{1}{2}<1$$.

So, $$s<r<t$$.

[Reveal] Spoiler: OA

_________________
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 5672
Followers: 321

Kudos [?]: 61 [0], given: 0

Re: If r=0.345, s=(0.345)^2, and t=root(0.345), which of the [#permalink]  08 Jun 2015, 13:22
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).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
EMPOWERgmat Instructor
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 3005
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: 340 Q170 V170
Followers: 131

Kudos [?]: 835 [0], given: 53

Re: If r=0.345, s=(0.345)^2, and t=root(0.345), which of the [#permalink]  10 Jun 2015, 20:24
Expert's post
Hi All,

This prompt showcases some great Number Property rules that you're likely to face (in some way or another) on the Official GMAT.

Regardless of the actual numbers involved, IF you're dealing with a positive fraction (meaning a value that is greater than 0 and less than 1), then there are some rules to remember...

1) Squaring that fraction will make the result SMALLER
2) Square-rooting that fraction will make the result BIGGER

Here are some additional Number Property rules for NEGATIVE fractions (meaning a value that is less than 0 and greater than -1)....

1) Squaring that fraction will make the result BIGGER (since squaring a negative creates a positive) AND the result will be CLOSER to 0.
2) Cubing that fraction will make the result BIGGER (since the result will be closer to 0).

GMAT assassins aren't born, they're made,
Rich
_________________

Re: If r=0.345, s=(0.345)^2, and t=root(0.345), which of the   [#permalink] 10 Jun 2015, 20:24
Similar topics Replies Last post
Similar
Topics:
3 Which of the following lists the number of points at which a 4 15 Sep 2012, 07:39
4 which day??? 6 21 Jul 2010, 01:27
which is greater 1 07 Apr 2010, 07:44
64 Which of the following lists the number of points at which a 18 26 Jun 2007, 02:18
4 Which of the following describes all values of x for which 6 16 Aug 2008, 10:58
Display posts from previous: Sort by