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If a^2=b, is the value of a between 0 and 1? [#permalink]

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03 Sep 2015, 04:49

1

This post received KUDOS

Expert's post

Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and equations ensures a solution.

If a^2=b, is the value of a between 0 and 1?

(1) b is between 0 and 1 (2) a>b

There is nothing to transform in the original condition and the question. WE have 2 variable (a,b) and 1 equation (a^2=b), thus we need 1 more to match the number of variables and equations. Since there is 1 each in 1) and 2), D is likely the answer.

In case of 1), if b=0.04 then the answer is no if a=-0.2 and yes if a=0.2 Thus it is not sufficient. In case of 2), a>b=a^2, a>a^2, 0>a^2-a, 0>a(a-1), 0<a<1, therefore the answer is yes. Thus the answer is B. _________________

Re: If a*a=b, is the value of a between 0 and 1? [#permalink]

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01 Dec 2012, 06:18

Jp27 wrote:

cv3t3l1na wrote:

If a*a=b, is the value of a between 0 and 1? 1. b is between 0 and 1 2. a>b

Why 2. is not sufficient?

Huh? Inside the spoiler you have given OA as B?

I guess both a sufficient by itself to answer to question "is the value of a between 0 and 1?"

Question rephrase ->\(a*a = b ; a^2 = b ; a = \sqrt{b}\) Is \(0 < a < 1\)

Stat1/ If B is between 0 and 1. Root of any value between 0 and 1 will result in a value larger than B but will still be fraction between 0 and 1. Sufficient

Stat2/ If \(a > b & a =\sqrt{b}\)only values that would satisfy these equations would be value from 0 to 1. Sufficient.

So D it is....

Cheers

If a = -0.5, b =0.25 a = 0.5 , b = 0.25 ... _________________

Did you find this post helpful?... Please let me know through the Kudos button.

Re: If a*a=b, is the value of a between 0 and 1? [#permalink]

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01 Dec 2012, 06:45

MacFauz wrote:

Jp27 wrote:

cv3t3l1na wrote:

If a*a=b, is the value of a between 0 and 1? 1. b is between 0 and 1 2. a>b

Why 2. is not sufficient?

Huh? Inside the spoiler you have given OA as B?

I guess both a sufficient by itself to answer to question "is the value of a between 0 and 1?"

Question rephrase ->\(a*a = b ; a^2 = b ; a = \sqrt{b}\) Is \(0 < a < 1\)

Stat1/ If B is between 0 and 1. Root of any value between 0 and 1 will result in a value larger than B but will still be fraction between 0 and 1. Sufficient

Stat2/ If \(a > b & a =\sqrt{b}\)only values that would satisfy these equations would be value from 0 to 1. Sufficient.

Re: If a^2=b, is the value of a between 0 and 1? [#permalink]

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05 Feb 2015, 01:05

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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