It is currently 17 Oct 2017, 01:10

### 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 a^2 = b, is 1 > a > 0?

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 41872

Kudos [?]: 128493 [0], given: 12179

If a^2 = b, is 1 > a > 0? [#permalink]

### Show Tags

29 Jul 2015, 03:11
Expert's post
4
This post was
BOOKMARKED
00:00

Difficulty:

95% (hard)

Question Stats:

39% (01:14) correct 61% (01:12) wrong based on 141 sessions

### HideShow timer Statistics

If a^2 = b, is 1 > a > 0?

(1) 1 > b > 0
(2) a > b

Kudos for a correct solution.
[Reveal] Spoiler: OA

_________________

Kudos [?]: 128493 [0], given: 12179

Manager
Joined: 14 Mar 2014
Posts: 150

Kudos [?]: 166 [0], given: 124

GMAT 1: 710 Q50 V34
Re: If a^2 = b, is 1 > a > 0? [#permalink]

### Show Tags

29 Jul 2015, 03:46
Bunuel wrote:
If a^2 = b, is 1 > a > 0?

(1) 1 > b > 0
(2) a > b

Kudos for a correct solution.

IMO : B

Statement 1: 0< b< 1

if b lies in 0< b< 1 then
a can lie in 0< a< 1 or -1 < a< 0.
For eg: if b = 1/4 then a can be 1/2 or -1/2 .
Not suff

Statement 2: a > b
Given $$a^2 = b$$ i.e b >=0. And if a>b then a must also be >=0
If a>b then
for a>1 then $$a^2 > b$$. They cannot be equal
so a must be in interval 0<a<1

PS: a cannot be equal to "0" or "1" since it violates the statement 2: a>b
_________________

I'm happy, if I make math for you slightly clearer
And yes, I like kudos
¯\_(ツ)_/¯

Kudos [?]: 166 [0], given: 124

Verbal Forum Moderator
Joined: 29 Apr 2015
Posts: 894

Kudos [?]: 1798 [1], given: 302

Location: Switzerland
Concentration: Economics, Finance
Schools: LBS MIF '19
WE: Asset Management (Investment Banking)
Re: If a^2 = b, is 1 > a > 0? [#permalink]

### Show Tags

29 Jul 2015, 03:50
1
KUDOS
Bunuel wrote:
If a^2 = b, is 1 > a > 0?

(1) 1 > b > 0
(2) a > b

Kudos for a correct solution.

Statement 1:
If 1>b>0 and a^2 = b, >>> A must be a fraction e.g. 1/2^2 = 1/4 or -1/2^2=1/4. Resulting in Yes/No for the question above. IS.

Statement 2:
a > b tells us that, a is positive since a^2 = b (which must be positive). Therefore a must be a positive fraction e.g. 1/2, 3/4 ...

_________________

Saving was yesterday, heat up the gmatclub.forum's sentiment by spending KUDOS!

PS Please send me PM if I do not respond to your question within 24 hours.

Kudos [?]: 1798 [1], given: 302

Math Expert
Joined: 02 Sep 2009
Posts: 41872

Kudos [?]: 128493 [0], given: 12179

Re: If a^2 = b, is 1 > a > 0? [#permalink]

### Show Tags

17 Aug 2015, 09:31
Expert's post
1
This post was
BOOKMARKED
Bunuel wrote:
If a^2 = b, is 1 > a > 0?

(1) 1 > b > 0
(2) a > b

Kudos for a correct solution.

800score Official Solution:

Statement (1) tells us that b is between 0 and 1, so we also know that a² is between 0 and 1 since b = a². If a is any number between -1 and 1, then a² will be
between 0 and 1, so Statement (1) is insufficient.

Statement (2) tells us that a > b, and since a² = b, we know that a > a². This is only true for
numbers between 0 and 1. The square of any number that is larger than 1 or negative will be larger than the number itself. So Statement (2) is sufficient.

Since Statement (1) is insufficient and Statement (2) is sufficient, the correct answer is choice (B).
_________________

Kudos [?]: 128493 [0], given: 12179

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16767

Kudos [?]: 273 [0], given: 0

Re: If a^2 = b, is 1 > a > 0? [#permalink]

### Show Tags

15 Sep 2017, 00:33
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.
_________________

Kudos [?]: 273 [0], given: 0

Re: If a^2 = b, is 1 > a > 0?   [#permalink] 15 Sep 2017, 00:33
Display posts from previous: Sort by