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Math Revolution GMAT Instructor V
Joined: 16 Aug 2015
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GMAT 1: 760 Q51 V42 GPA: 3.82
Which of the following expressions is equal to 2^{32}-2^{31}-2^{30}?  [#permalink]

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Question Stats: 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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Re: Which of the following expressions is equal to 2^{32}-2^{31}-2^{30}?  [#permalink]

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MathRevolution wrote:
[GMAT math practice question]

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

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

$$2^{32}-2^{31}-2^{30} = 2^{30}(2^2-2-1) = 2^{30}$$

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Math Revolution GMAT Instructor V
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]

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=>

$$2^{32}-2^{31}-2^{30}?$$
$$= (2^2)(2^{30})- (2^1)(2^{30})-2^{30}$$
$$= 4(2^{30})- 2(2^{30})-2^{30}$$
$$= (4-2-1)(2^{30})$$
$$=1(2^{30})=2^{30}$$

Therefore, the answer is C.
_________________ 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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Which of the following expressions is equal to 2^{32}-2^{31}-2^{30}?

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