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1-0.000001=?

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 7618
GMAT 1: 760 Q51 V42
GPA: 3.82

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19 Apr 2017, 01:38
00:00

Difficulty:

35% (medium)

Question Stats:

68% (01:07) correct 32% (01:06) wrong based on 253 sessions

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1-0.000001=?

A. 1.001*0.999
B. 1.0001*0.9999
C. 1.001*0.9999
D. 1.0001*0.999
E. 1.01*0.99

DISCUSSED HERE: https://gmatclub.com/forum/1-271956.html

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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 $79 for 1 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" CEO Joined: 12 Sep 2015 Posts: 3857 Location: Canada Re: 1-0.000001=? [#permalink] Show Tags 19 Apr 2017, 06:11 3 Top Contributor 7 MathRevolution wrote: 1 - 0.000001=? A. 1.001 x 0.999 B. 1.0001 x 0.9999 C. 1.001 x 0.9999 D. 1.0001 x 0.999 E. 1.01 x 0.99 Notice that we have a difference of squares here: - = (a + b)(a - b) 1 = 1² and 0.000001 = 0.001² So, 1 - 0.000001 = - 0.001² = (1 + 0.001)(1 - 0.001) = (1.001)(0.999) Answer: RELATED VIDEO _________________ Test confidently with gmatprepnow.com Intern Joined: 14 Apr 2017 Posts: 1 Re: 1-0.000001=? [#permalink] Show Tags 19 Apr 2017, 07:06 3 I solved like this way, 1- 0.000001= 0.999999 since the answer has 6 decimal digits, the only possible choice is A Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 7618 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: 1-0.000001=? [#permalink] Show Tags 21 Apr 2017, 01:29 ==> You get $$a^2-b^2=(a+b)(a-b)$$, and thus $$1-0.000001=1^2-0.001^2=(1+0.001)(1-0.001)=1.001*0.999$$. The answer is A. Answer: A _________________ 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$79 for 1 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"
Math Expert
Joined: 02 Sep 2009
Posts: 56319

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19 Dec 2018, 21:46
MathRevolution wrote:
1-0.000001=?

A. 1.001*0.999
B. 1.0001*0.9999
C. 1.001*0.9999
D. 1.0001*0.999
E. 1.01*0.99

DISCUSSED HERE: https://gmatclub.com/forum/1-271956.html

DISCUSSED HERE: https://gmatclub.com/forum/1-271956.html
_________________
Re: 1-0.000001=?   [#permalink] 19 Dec 2018, 21:46
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