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

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If a^2=b, is the value of a between 0 and 1? [#permalink]  30 Nov 2012, 23:37
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33% (02:12) correct 67% (01:10) wrong based on 80 sessions
If a^2=b, is the value of a between 0 and 1?

(1) b is between 0 and 1
(2) a>b
[Reveal] Spoiler: OA

Last edited by Bunuel on 01 Dec 2012, 04:59, edited 1 time in total.
Edited the question.
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Re: If a*a=b, is the value of a between 0 and 1? [#permalink]  01 Dec 2012, 03:15
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/Given B is between 0 and 1.
a= 0.5 then b = 0.25 ; a is in between 0 and 1
a = -0.5 then b = 0.25 ; a is NOT between 0 and 1.
InSufficient

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

Last edited by Jp27 on 01 Dec 2012, 06:23, edited 2 times in total.
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Kudos [?]: 940 [0], given: 116

Re: If a*a=b, is the value of a between 0 and 1? [#permalink]  01 Dec 2012, 05:18
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 ...
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Senior Manager
Joined: 22 Dec 2011
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Re: If a*a=b, is the value of a between 0 and 1? [#permalink]  01 Dec 2012, 05:45
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.

So D it is....

Cheers

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

I will edit my response...!
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Joined: 02 Sep 2009
Posts: 29153
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Kudos [?]: 49850 [0], given: 7501

Re: If a^2=b, is the value of a between 0 and 1? [#permalink]  01 Dec 2012, 05:54
Expert's post
If a^2=b, is the value of a between 0 and 1?

$$a^2=b$$ --> $$a=-\sqrt{b}$$ or $$a=\sqrt{b}$$.

(1) b is between 0 and 1. If $$b=\frac{1}{4}$$, then $$a$$ could be $$-\frac{1}{2}$$ (answer NO) or $$\frac{1}{2}$$ (answer YES). Not sufficient.

(2) a>b --> $$a=\sqrt{b}$$ --> $$0<b<1$$. Sufficient.

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Re: If a^2=b, is the value of a between 0 and 1? [#permalink]  05 Feb 2015, 00:05
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Re: If a^2=b, is the value of a between 0 and 1?   [#permalink] 05 Feb 2015, 00:05
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