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7569211222: Newbie | Next Rank: 10 Posts; Posts: 3; Joined: Tue May 17, 2011 7:09 am

by 7569211222 » Tue May 24, 2011 12:53 am

a^x=b^y=c^z=64 then xyz is eual to what value i got this question on my gmat exam can anyone help me in that
x=y=z=6 then x*Y*Z=X^3=6 then x=cube root of 6 but i didnt find the answer in my options

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Source: Beat The GMAT — Data Sufficiency | Tue May 24, 2011 12:53 am

baladon99: Senior | Next Rank: 100 Posts; Posts: 66; Joined: Wed Jul 07, 2010 11:06 am; Thanked: 1 times

by baladon99 » Tue May 24, 2011 3:10 am

I guess the answer is 18. Did u have that among your ans choices?

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Frankenstein: Legendary Member; Posts: 1448; Joined: Tue May 17, 2011 9:55 amFollowed by: 53 members; Location: India; Thanked: 375 times

by Frankenstein » Tue May 24, 2011 4:47 am

7569211222 wrote:a^x=b^y=c^z=64 then xyz is eual to what value i got this question on my gmat exam can anyone help me in that
x=y=z=6 then x*Y*Z=X^3=6 then x=cube root of 6 but i didnt find the answer in my options

Hi,
He must have given more conditions like all the numbers are integers, none of them is equal to 1, all are single digit numbers, something like that. Because, based on your wording, there can be more than 1 solution.
E.g-1.) 2^6=4^3=8^2 = 64. So, xyz is 6.3.2 = 36
E.g-2.) 2^6=4^3=64^1 = 64. So, xyz is 6.3.1 = 18
E.g-3.) 2^6=8^2=64^1 = 64. So, xyz is 6.2.1 = 12
E.g-4.) 4^3=8^2=64^1 = 64. So, xyz is 3.2.1 = 6

Cheers!

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cans: Legendary Member; Posts: 1309; Joined: Mon Apr 04, 2011 5:34 amFollowed by: 123 members; Location: India; Thanked: 310 times; GMAT Score:750

by cans » Fri May 27, 2011 5:11 pm

This is DS question
So there must be 2 options that provide extra data...
Can you please provide that..

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7569211222: Newbie | Next Rank: 10 Posts; Posts: 3; Joined: Tue May 17, 2011 7:09 am

by 7569211222 » Mon May 30, 2011 1:44 am

7569211222 wrote:a^x=b^y=c^z=64 then xyz is eual to what value i got this question on my gmat exam can anyone help me in that
x=y=z=6 then x*Y*Z=X^3=6 then x=cube root of 6 but i didnt find the answer in my options

no in that question there is no constraints.x and y and z are integers thats it.can u plz help me what is the correct answer.how can i slove that.

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SoCan: Senior | Next Rank: 100 Posts; Posts: 97; Joined: Sun May 15, 2011 9:19 amFollowed by: 1 member; Thanked: 18 times

by SoCan » Mon May 30, 2011 7:57 am

7569211222 wrote:
7569211222 wrote:a^x=b^y=c^z=64 then xyz is eual to what value i got this question on my gmat exam can anyone help me in that
x=y=z=6 then x*Y*Z=X^3=6 then x=cube root of 6 but i didnt find the answer in my options
no in that question there is no constraints.x and y and z are integers thats it.can u plz help me what is the correct answer.how can i slove that.

Frankenstein showed different solutions.

If they gave no further constraints, my guess is that the question asked something like "which of the following numbers is possible for xyz".

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