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Can someone provide a good solution to this? This problem is pretty straightforward, but I'd definitely be confused if it got a lil more complex on the real GMAT... Any help will be greatly appreciated.

For, 0<x<1; the higher power of x always be smaller than lower power of x.

For x<0; it gets subtle because all even powers become +ve. Try some examples and see what you get. But, there too: consider 0>x>-1; x=-1; -1>x as three separate case. _________________

Re: If r = 0.345, s = (0.345)^2, and t = sqrt(0.345) , which of [#permalink]
26 Jul 2012, 02:58

Hi bunuel,

thanks for that example. I had solved it by keeping the fraction itself.

Thanks _________________

I've failed over and over and over again in my life and that is why I succeed--Michael Jordan Kudos drives a person to better himself every single time. So Pls give it generously Wont give up till i hit a 700+

Re: If r = 0.345, s = (0.345)^2, and t = sqrt(0.345) , which of [#permalink]
21 May 2014, 18:36

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Simplify the value of a to -0.3. So, b= 0.09 c = -0.027 d = 0.0081

So, the correct order will be Option C:

c<a<d<b

A Tip!

If a had been a difficult number like, say a= -0.784, then instead of simplifying it by rounding it off to -0.8, I suggest you simply take an easier negative decimal, say -0.2, and calculate the relationship between a,b,c,d for it. That relationship would hold true for any negative decimal between 0 and -1. This tip will save you time because calculating the cube and fourth power of 0.8 will be time-consuming. _________________

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Last edited by MavenQ on 22 May 2014, 03:25, edited 1 time in total.

Re: If r = 0.345, s = (0.345)^2, and t = sqrt(0.345) , which of [#permalink]
20 Jun 2015, 19:17

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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If r = 0.345, s = (0.345)^2, and t = sqrt(0.345) , which of [#permalink]
20 Jun 2015, 19:53

Expert's post

girikorat wrote:

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

CONCEPT:For solving any such question, One must know that

1) If 0<x<1, then the higher powers of x result in smaller numbers and lower powers of x result in a bigger number 2) If x>1, then the higher powers of x result in Bigger numbers and lower powers of x result in a Smaller number

Here since 0.345 is between 0 and 1 therefore

the number with the highest power i.e. s must be least and the number with the Lowest power i.e. t must be Biggest number

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