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Intern Joined: 19 Feb 2017
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If a^3 + b^2 = 73, then which of the following are the possi [#permalink] 00:00

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If $$a^3$$ + $$b^2$$ = $$73$$, then which of the following are the possible answer choices?

1. a + b = 7

2. a − b = 2

3. ab = 12

4. 2a − 3b = −1

5. 3a + 5b − 6 = 21

6. $$a^2$$ − $$b^2$$ = 7

Last edited by Carcass on 08 Mar 2017, 11:05, edited 1 time in total.
Edited by Carcass
GRE Prep Club Legend  Joined: 07 Jun 2014
Posts: 4809
GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
Followers: 123

Kudos [?]: 1975 , given: 397

Expert's post
Please share the source of this question. Something seems to be missing here.
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Sandy
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Intern Joined: 23 Jun 2017
Posts: 6
Followers: 0

Kudos [?]: 5 , given: 4

Re: If a^3 + b^2 = 73, then which of the following are the possi [#permalink]
a=4, b=3
Director Joined: 03 Sep 2017
Posts: 520
Followers: 1

Kudos [?]: 363 , given: 66

Re: If a^3 + b^2 = 73, then which of the following are the possi [#permalink]
Is there a faster way than trying to substitute numbers to solve this one? I got the answer but it took some time GRE Prep Club Legend  Joined: 07 Jun 2014
Posts: 4809
GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
Followers: 123

Kudos [?]: 1975  , given: 397

Re: If a^3 + b^2 = 73, then which of the following are the possi [#permalink]
1
KUDOS
Expert's post
IlCreatore wrote:
Is there a faster way than trying to substitute numbers to solve this one? I got the answer but it took some time

This is not a GRE question. Ideally in this case we have to find numbers which sattisfy this equation and the uderlying assuption seems to be that this is a natural number.

So we take a= 1, 2, 3, ..... and see where we get a natural number for b.

At a=4 we have b=3.

However its not mentioned a and b are natural numbers so this equation can have many soutions.
_________________

Sandy
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Try our free Online GRE Test Re: If a^3 + b^2 = 73, then which of the following are the possi   [#permalink] 01 Oct 2017, 05:38
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