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# Which of the following expressions is equal to 2^{32}-2^{31}-2^{30}?

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
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Which of the following expressions is equal to 2^{32}-2^{31}-2^{30}?  [#permalink]

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14 Feb 2019, 02:05
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91% (00:41) correct 9% (00:35) wrong based on 43 sessions

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[GMAT math practice question]

Which of the following expressions is equal to $$2^{32}-2^{31}-2^{30}$$?

$$A. 3*2^{29}$$
$$B. 5*2^{29}$$
$$C. 2^{30}$$
$$D. 3*2^{30}$$
$$E. 2^{31}$$

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MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
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"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 Status: GMATINSIGHT Tutor Joined: 08 Jul 2010 Posts: 2978 Location: India GMAT: INSIGHT Schools: Darden '21 WE: Education (Education) Re: Which of the following expressions is equal to 2^{32}-2^{31}-2^{30}? [#permalink] ### Show Tags 14 Feb 2019, 04:30 MathRevolution wrote: [GMAT math practice question] Which of the following expressions is equal to $$2^{32}-2^{31}-2^{30}$$? $$A. 3*2^{29}$$ $$B. 5*2^{29}$$ $$C. 2^{30}$$ $$D. 3*2^{30}$$ $$E. 2^{31}$$ $$2^{32}-2^{31}-2^{30} = 2^{30}(2^2-2-1) = 2^{30}$$ Answer: Option C _________________ Prosper!!! GMATinsight Bhoopendra Singh and Dr.Sushma Jha e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772 Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi http://www.GMATinsight.com/testimonials.html ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 8017 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: Which of the following expressions is equal to 2^{32}-2^{31}-2^{30}? [#permalink] ### Show Tags 17 Feb 2019, 18:35 => $$2^{32}-2^{31}-2^{30}?$$ $$= (2^2)(2^{30})- (2^1)(2^{30})-2^{30}$$ $$= 4(2^{30})- 2(2^{30})-2^{30}$$ $$= (4-2-1)(2^{30})$$ $$=1(2^{30})=2^{30}$$ Therefore, the answer is C. Answer: C _________________ 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"
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Re: Which of the following expressions is equal to 2^{32}-2^{31}-2^{30}?   [#permalink] 17 Feb 2019, 18:35
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