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# Is a=b?

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 6804
GMAT 1: 760 Q51 V42
GPA: 3.82

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Updated on: 24 Feb 2017, 07:01
1
1
00:00

Difficulty:

15% (low)

Question Stats:

91% (00:37) correct 9% (00:43) wrong based on 52 sessions

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Is a=b?

1) $$a^2=b^2$$
2) $$a=2$$

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MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $149 for 3 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Originally posted by MathRevolution on 24 Feb 2017, 01:15. Last edited by Bunuel on 24 Feb 2017, 07:01, edited 1 time in total. Edited the OA. Current Student Joined: 27 May 2014 Posts: 525 GMAT 1: 730 Q49 V41 Re: Is a=b? [#permalink] ### Show Tags 24 Feb 2017, 02:48 (1) a^2 = b^2; Suppose, a = 2, and b = 2, Therefore, a = b; Again, suppose a= 2 and b = -2; In this case also a^2 = b^2 is true, but a ≠ b; Hence, Insufficient. (2) a = 2; Insufficient; (1) And (2) together, Insufficient; Answer E. _________________ Director Joined: 06 Jan 2015 Posts: 562 Location: India Concentration: Operations, Finance GPA: 3.35 WE: Information Technology (Computer Software) Re: Is a=b? [#permalink] ### Show Tags 24 Feb 2017, 06:45 MathRevolution wrote: Is a=b? 1) $$a^2=b^2$$ 2) $$a=2$$ Hi Bunuel Can throw some light on this question Seems like ans is E. Can you validate. _________________ आत्मनॊ मोक्षार्थम् जगद्धिताय च Resource: GMATPrep RCs With Solution Intern Joined: 24 Feb 2017 Posts: 2 Re: Is a=b? [#permalink] ### Show Tags 24 Feb 2017, 06:50 MathRevolution wrote: Is a=b? 1) $$a^2=b^2$$ 2) $$a=2$$ In statement 1, If a^2 = b^2, then b can be equal to a or b can be equal to -a because a^2 is also equal to (-a)^2. Hence insufficient In statement 2, a = 2, but there is no information of b. Hence, insufficient By combining, if a = 2, then a^2 is 4. But b can be 2 or -2 because 2^2 = 4 and (-2)^2 is also 4. Hence, together also insufficient. Thanks, Anant Saraogi CEO Joined: 11 Sep 2015 Posts: 3319 Location: Canada Re: Is a=b? [#permalink] ### Show Tags 24 Feb 2017, 06:53 Top Contributor NandishSS wrote: MathRevolution wrote: Is a=b? 1) $$a^2=b^2$$ 2) $$a=2$$ Hi Bunuel Can throw some light on this question Seems like ans is E. Can you validate. You're right; the correct answer is E Statements 1 and 2 combined Case a: a = 2 and b = 2, in which case a EQUALS b Case b: a = 2 and b = -2, in which case a DOES NOT EQUAL b Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT Cheers, Brent _________________ Test confidently with gmatprepnow.com Director Joined: 06 Jan 2015 Posts: 562 Location: India Concentration: Operations, Finance GPA: 3.35 WE: Information Technology (Computer Software) Re: Is a=b? [#permalink] ### Show Tags 24 Feb 2017, 17:34 GMATPrepNow wrote: NandishSS wrote: MathRevolution wrote: Is a=b? 1) $$a^2=b^2$$ 2) $$a=2$$ Hi Bunuel Can throw some light on this question Seems like ans is E. Can you validate. You're right; the correct answer is E Statements 1 and 2 combined Case a: a = 2 and b = 2, in which case a EQUALS b Case b: a = 2 and b = -2, in which case a DOES NOT EQUAL b Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT Cheers, Brent Thank you Brent Sent from my AO5510 using GMAT Club Forum mobile app _________________ आत्मनॊ मोक्षार्थम् जगद्धिताय च Resource: GMATPrep RCs With Solution Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 6804 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: Is a=b? [#permalink] ### Show Tags 26 Feb 2017, 20:32 ==> In the original condition, there are 2 variables (a,b) and in order to match the number of variables to the number of equations, there must be 2 equations. Since there is 1 for con 1) and 1 for con 2), C is most likely to be the answer. By solving con 1) and con 2), from a=2, you get $$b^2=2^2=4$$, then b=±2. Thus, (a,b)=(2,2) yes but (a,b)=(2,-2) no, hence it is not sufficient. The answer is E. Answer: E _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$149 for 3 month Online Course"
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Re: Is a=b? &nbs [#permalink] 26 Feb 2017, 20:32
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