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It's time again for another Veritas Prep Challenge Question. Once again you'll find that exponents will play a fairly significant role in this question. Stay tuned to the GMAT Tip of the Week post tomorrow for an explanation of this question and a quick checklist for everything you need to know about GMAT exponents.
For integers x, y, and z, if (3^x) (4^y) (5^z) = 3,276,800,000 and x + y + z = 15, what is the value of xy/z?
(A) undefined
(B) 0
(C) 3
(D) 5
(E) 15
Please submit your answers in the comments field, and check back tomorrow morning for an explanation and some critical exponent strategies.
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3 comments:
answer 0 since there is no mulitple of 3 in right part..to find we will check by divisibilty property of 3 ..now since x=0 so x*y/z=0
simple :)
thanx
regards
sandeep
Option B "0" is the answer since 3,276,800,000 is not a multiple of 3. Instead of working out the answer, we can check the divisibility of the number by the divisibility test of 3 (digits of the number should add up to a multiple of 3)
= > x = 0
= (x*y)/z = 0 (anything multiplied by 0 is zero)
Thanx
Cheers!
Nice work, everyone - just more proof that 0 is a number worth keeping top-of-mind on the GMAT. This question can be 'simple' as you say, Sandeep, if you're thinking about 0 (in which case there aren't really any calculations involved), but if you don't have that ready to go it could be a nightmare!
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