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Math Revolution GMAT Instructor V
Joined: 16 Aug 2015
Posts: 7585
GMAT 1: 760 Q51 V42 GPA: 3.82
Which of the following is the greatest?  [#permalink]

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Difficulty:   45% (medium)

Question Stats: 88% (01:19) correct 12% (01:10) wrong based on 73 sessions

### HideShow timer Statistics [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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Originally posted by MathRevolution on 26 Mar 2018, 00:56.
Last edited by MathRevolution on 28 Mar 2018, 02:00, edited 2 times in total.
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GMAT 1: 740 Q50 V40 GMAT 2: 770 Q51 V42 Re: Which of the following is the greatest?  [#permalink]

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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.

Best,
_________________
Regards,

“Do. Or do not. There is no try.” - Yoda (The Empire Strikes Back)

Originally posted by Gladiator59 on 26 Mar 2018, 01:15.
Last edited by Gladiator59 on 26 Mar 2018, 04:53, edited 1 time in total.
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Re: Which of the following is the greatest?  [#permalink]

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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.

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Re: Which of the following is the greatest?  [#permalink]

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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.

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
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Senior Manager  V
Joined: 22 Feb 2018
Posts: 426
Re: Which of the following is the greatest?  [#permalink]

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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.

$$A. (1+2)^5 = 3^5 = (3^3)^2 = 27^2 <1000$$

$$B. 10^3 = 1000$$
$$C. (1^2+2^2)^4 = ( 1 + 4)^4 = 5^4 = 625 < 1000$$
$$D. (2^2+2^2+2^2)^3 = ( 4 + 4 + 4)^3 = 12^3 = (12^2)*12 = 144*12 > 1000$$
$$E. (2^2+2^2+2^2+2^2)^2 = ( 4 + 4 + 4 + 4)^2 = 16^2 = 256$$

Hence Option (D) seems to be the greatest, whereas OA = C.

Best,

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
_________________
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GMAT 1: 740 Q50 V40 GMAT 2: 770 Q51 V42 Re: Which of the following is the greatest?  [#permalink]

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Princ 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.

Best,

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,
_________________
Regards,

“Do. Or do not. There is no try.” - Yoda (The Empire Strikes Back)
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Posts: 3846
Re: Which of the following is the greatest?  [#permalink]

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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

Cheers,
Brent
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Math Revolution GMAT Instructor V
Joined: 16 Aug 2015
Posts: 7585
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Re: Which of the following is the greatest?  [#permalink]

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=>

$$A. (1+2)^5 = 3^5 = 243$$
$$B. 10^3 = 1000$$
$$C. (1^2+2^2)^4 = 5^4 = 625$$
$$D. (2^2+2^2+2^2)^3 = 12^3 = 1728$$
$$E. (2^2+2^2+2^2+2^2)^2 = 16^2 = 256$$

_________________ Re: Which of the following is the greatest?   [#permalink] 28 Mar 2018, 02:01
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