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basic question

by fruti_yum » Thu Aug 06, 2009 1:44 pm
how would i find the sq root of 0.345???

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
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by ithoughtshewas18 » Thu Aug 06, 2009 1:50 pm
You dont have to bud
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 ?

R. Is .345, it wont change

S is .345 ^ 2. a fraction times itself will result in the number being smaller than it originally was. So R > S

With that said, the sqrt of .345 has to be bigger becuase, the answer squared will have to equal .345, which as I just mentioned will make the principal number smaller.

So its T > R > S
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by truplayer256 » Thu Aug 06, 2009 1:52 pm
r=0.345

s=(0.345)^(2)=(0.345)(0.345). In this case, you're decreasing 0.345 by some percentage, so s will always be less than 0.345.

t=sqrt(0.345)=Whenever you're taking the square root of some decimal less than one, the square root will always be bigger than the fraction.

So, t>r>s.

D
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Re: basic question

by shahdevine » Thu Aug 06, 2009 2:59 pm
fruti_yum wrote:how would i find the sq root of 0.345???

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
hey fruti,

this is a classic problem where you create your own values for unknowns that are more manageable than the one the gmat gives. GMAT testmakers are devious, they want you wasting your time.

in this case, i would make r=1/4 s=the square of 1/4 which is 1/16, and t=square root of 1/4 which is 1/2

1/2>1/4>1/16 therefore t>r>s

D.

you got this, man!
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by Charles2010 » Fri Oct 08, 2010 12:00 pm
fruti_yum wrote:how would i find the sq root of 0.345???

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


Please keep in mind that regardless of the ordering r will be in the middle of the ordering.
The quickest way to answer this question especially if you were running out of time during the actual GMAT test is to use an integer property which would state that if r, s and t were positive integers with each greater than 1, then the ordering would have been t < r < s.
But since r, s, t < 1, then the ordering would be the other way around => s < r < t.
Answer D : s < r < t
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by Yanat » Fri Oct 08, 2010 10:10 pm
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

I dont think we need to calculate the exact value of sqrt 0.345 or (0.345)^2. We can use approximations here.

.3^2 = .09 and so .345^2 you can think how that would be

sqrt (.36) = .6 and so you can imagine how sqrt 0.345 would be

If you use that logic r = 0.345 s is something like .012389 and t is something little less than .6 but greater than .5 and lets assume it is .58.

So we have D i.e. s < r < t

Can someone send the correct answer
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