find the value

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find the value

by fiza gupta » Sat Nov 12, 2016 12:11 am
If 10^a*3^b*5^c = 450, what is the value of c?
(1) a = 1
(2) b = 2

OA:E
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by GMATGuruNY » Sat Nov 12, 2016 4:24 am
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by MartyMurray » Mon Nov 28, 2016 6:20 am
Hi Fiza.

As you wrote the question, the correct answer is C.

However, you have left out a key detail. 450 is supposed to be 450�.

With that detail added, even considering both statements, one can find many values for c that work.

Therefore, the correct answer is E.
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by Matt@VeritasPrep » Thu Dec 08, 2016 9:38 pm
To expand on that, if we have

10 * 6 * 5ᶜ = 450�

we can divide both sides by 30 to find

5ᶜ * 2 = 15 * 450��¹

Since c doesn't have to be an integer, there can be any number of solutions.