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# Which of the following is the greatest?

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 9018
GMAT 1: 760 Q51 V42
GPA: 3.82
Which of the following is the greatest?  [#permalink]

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Updated on: 28 Mar 2018, 01:00
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45% (medium)

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88% (01:18) correct 13% (01:14) wrong based on 78 sessions

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[GMAT math practice question]

Which of the following is the greatest?

$$A. (1+2)^5$$
$$B. 10^3$$
$$C. (1^2+2^2)^4$$
$$D. (2^2+2^2+2^2)^3$$
$$E. (2^2+2^2+2^2+2^2)^2$$

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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" Originally posted by MathRevolution on 25 Mar 2018, 23:56. Last edited by MathRevolution on 28 Mar 2018, 01:00, edited 2 times in total. Senior PS Moderator Status: It always seems impossible until it's done. Joined: 16 Sep 2016 Posts: 719 GMAT 1: 740 Q50 V40 GMAT 2: 770 Q51 V42 Re: Which of the following is the greatest? [#permalink] ### Show Tags Updated on: 26 Mar 2018, 03:53 1 MathRevolution wrote: [GMAT math practice question] Which of the following is the greatest? $$A. (1+2)^5$$ $$B. 10^3$$ $$C. (1^2+2^2)^4$$ $$D. (2^2+2^2+2^2)^3$$ $$E. (2^2+2^2+2^2+2^2)^2$$ Hi MathRevolution, I think the OA provided is incorrect. $$A. (1+2)^5 = 3^5 = (3^3)*(3^2) = 27*9 <1000$$ $$B. 10^3 = 1000$$ $$C. (1^2+2^2)^4 = ( 1 + 4)^4 = 5^4 = 625 < 1000$$ $$D. (2^2+2^2+2^2)^3 = ( 4 + 4 + 4)^3 = 12^3 = (12^2)*12 = 144*12 > 1000$$ $$E. (2^2+2^2+2^2+2^2)^2 = ( 4 + 4 + 4 + 4)^2 = 16^2 = 256$$ Hence Option (D) seems to be the greatest, whereas OA = C. Please look into it... Best, Gladi _________________ Regards, Gladi “Do. Or do not. There is no try.” - Yoda (The Empire Strikes Back) Originally posted by Gladiator59 on 26 Mar 2018, 00:15. Last edited by Gladiator59 on 26 Mar 2018, 03:53, edited 1 time in total. Director Affiliations: IIT Dhanbad Joined: 13 Mar 2017 Posts: 717 Location: India Concentration: General Management, Entrepreneurship GPA: 3.8 WE: Engineering (Energy and Utilities) Re: Which of the following is the greatest? [#permalink] ### Show Tags 26 Mar 2018, 02:20 MathRevolution wrote: [GMAT math practice question] Which of the following is the greatest? $$A. (1+2)^5$$ $$B. 10^3$$ $$C. (1^2+2^2)^4$$ $$D. (2^2+2^2+2^2)^3$$ $$E. (2^2+2^2+2^2+2^2)^2$$ $$A. (1+2)^5 = 3^5$$ $$B. 10^3= 5^3*2^3 = 8*5^3$$ $$C. (1^2+2^2)^4 = 5^4$$ $$D. (2^2+2^2+2^2)^3= 12^3$$ $$E. (2^2+2^2+2^2+2^2)^2 = 16^2 = 4^4$$ 4^4 <5^4 < 8*5^3 = 10^3 < 12^3 Also 3^5 = 243 < 4^4 = 256 A. < E. < C. < B. < D. Answer D Senior Manager Joined: 22 Feb 2018 Posts: 404 Re: Which of the following is the greatest? [#permalink] ### Show Tags 26 Mar 2018, 03:22 MathRevolution wrote: [GMAT math practice question] Which of the following is the greatest? $$A. (1+2)^5$$ $$B. 10^3$$ $$C. (1^2+2^2)^4$$ $$D. (2^2+2^2+2^2)^3$$ $$E. (2^2+2^2+2^2+2^2)^2$$ OA should be D. MathRevolution Please correct it. Option A : $$(1+2)^5$$ = 3^5 =243 Option B : $$10^3$$ = 1000 Option C :$$(1^2+2^2)^4$$ = $$5^4$$=625 Option D :$$(2^2+2^2+2^2)^3$$ = $$12^3$$=1728 Option E :$$(2^2+2^2+2^2+2^2)^2$$ = $$16^2$$ = 256 We can put it more clearly Option A: 243 Option B: 1000 Option C: 625 Option D: 1728 Option E: 256 Senior Manager Joined: 22 Feb 2018 Posts: 404 Re: Which of the following is the greatest? [#permalink] ### Show Tags 26 Mar 2018, 03:34 1 Gladiator59 wrote: MathRevolution wrote: [GMAT math practice question] Which of the following is the greatest? $$A. (1+2)^5$$ $$B. 10^3$$ $$C. (1^2+2^2)^4$$ $$D. (2^2+2^2+2^2)^3$$ $$E. (2^2+2^2+2^2+2^2)^2$$ Hi MathRevolution, I think the OA provided is incorrect. $$A. (1+2)^5 = 3^5 = (3^3)^2 = 27^2 <1000$$ $$B. 10^3 = 1000$$ $$C. (1^2+2^2)^4 = ( 1 + 4)^4 = 5^4 = 625 < 1000$$ $$D. (2^2+2^2+2^2)^3 = ( 4 + 4 + 4)^3 = 12^3 = (12^2)*12 = 144*12 > 1000$$ $$E. (2^2+2^2+2^2+2^2)^2 = ( 4 + 4 + 4 + 4)^2 = 16^2 = 256$$ Hence Option (D) seems to be the greatest, whereas OA = C. Please look into it... Best, Gladi Gladiator59 Hi Gladi I think that there is a mistake in calculation of option A. $$3^5$$ should be equal to $$3^3*3^2$$ as $$(3^3)^2$$= $$3^3$$*$$3^3$$=$$3^6$$ regards for pointing out mistake in OA Senior PS Moderator Status: It always seems impossible until it's done. Joined: 16 Sep 2016 Posts: 719 GMAT 1: 740 Q50 V40 GMAT 2: 770 Q51 V42 Re: Which of the following is the greatest? [#permalink] ### Show Tags 26 Mar 2018, 03:54 Princ wrote: Gladiator59 wrote: MathRevolution wrote: [GMAT math practice question] Which of the following is the greatest? $$A. (1+2)^5$$ $$B. 10^3$$ $$C. (1^2+2^2)^4$$ $$D. (2^2+2^2+2^2)^3$$ $$E. (2^2+2^2+2^2+2^2)^2$$ Hi MathRevolution, I think the OA provided is incorrect. $$A. (1+2)^5 = 3^5 = (3^3)^2 = 27^2 <1000$$ $$B. 10^3 = 1000$$ $$C. (1^2+2^2)^4 = ( 1 + 4)^4 = 5^4 = 625 < 1000$$ $$D. (2^2+2^2+2^2)^3 = ( 4 + 4 + 4)^3 = 12^3 = (12^2)*12 = 144*12 > 1000$$ $$E. (2^2+2^2+2^2+2^2)^2 = ( 4 + 4 + 4 + 4)^2 = 16^2 = 256$$ Hence Option (D) seems to be the greatest, whereas OA = C. Please look into it... Best, Gladi Gladiator59 Hi Gladi I think that there is a mistake in calculation of option A. $$3^5$$ should be equal to $$3^3*3^2$$ as $$(3^3)^2$$= $$3^3$$*$$3^3$$=$$3^6$$ regards for pointing out mistake in OA Thanks for pointing out Princ, Edited the post. Best, Gladi _________________ Regards, Gladi “Do. Or do not. There is no try.” - Yoda (The Empire Strikes Back) GMAT Club Legend Joined: 11 Sep 2015 Posts: 4886 Location: Canada GMAT 1: 770 Q49 V46 Re: Which of the following is the greatest? [#permalink] ### Show Tags 26 Mar 2018, 08:59 Top Contributor MathRevolution wrote: [GMAT math practice question] Which of the following is the greatest? $$A. (1+2)^5$$ $$B. 10^3$$ $$C. (1^2+2^2)^4$$ $$D. (2^2+2^2+2^2)^3$$ $$E. (2^2+2^2+2^2+2^2)^2$$ A. (1 + 2)^5 = (3)^5 = 243 B. 10^3 = 1,000 C. (1^2 + 2^2)^4 = (1 + 4)^4 = (5)^4 = 625 D. (2^2 + 2^2 + 2^2)^3 = (4 + 4 + 4)^3 = (12)^3 ASIDE: I won't bother evaluating this right now. We can already see that 12^3 is greater than 10^3 so, at the moment, D is the greatest value. E. (2^2 + 2^2 + 2^2 + 2^2)^2 = (4 + 4 + 4 + 4)^2 = (16)^2 = 256 Answer: D Cheers, Brent _________________ Test confidently with gmatprepnow.com Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 9018 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: Which of the following is the greatest? [#permalink] ### Show Tags 28 Mar 2018, 01:01 => $$A. (1+2)^5 = 3^5 = 243$$ $$B. 10^3 = 1000$$ $$C. (1^2+2^2)^4 = 5^4 = 625$$ $$D. (2^2+2^2+2^2)^3 = 12^3 = 1728$$ $$E. (2^2+2^2+2^2+2^2)^2 = 16^2 = 256$$ Therefore, D is the answer. Answer: D _________________ 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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"Unlimited Access to over 120 free video lessons - try it yourself"
Re: Which of the following is the greatest?   [#permalink] 28 Mar 2018, 01:01

# Which of the following is the greatest?

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