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When n = 100x + 10y + z, function f is defined as f(n) =

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When n = 100x + 10y + z, function f is defined as f(n) = [#permalink] New post 06 Dec 2005, 06:56
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When n = 100x + 10y + z, function f is defined as f(n) = (2^x)(3^y)(5^z).

If f(v) = 9f(u), what is v minus u?

(Answer choices not available)
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Re: PS - Function [#permalink] New post 06 Dec 2005, 07:16
gamjatang wrote:
When n = 100x + 10y + z, function f is defined as f(n) = (2^x)(3^y)(5^z).

If f(v) = 9f(u), what is v minus u?

(Answer choices not available)


notice 9= 3^2 --> the only possible difference between f(v) and f(t) is of 3^y ....f(v) contains 3^(y+2) ...powers of 2 and 5 in both functions f() are the same

----> u= 100x+10y+z and v= 100x+10(y+2) +z
----> v-u= 10*2= 20
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Re: PS - Function [#permalink] New post 06 Dec 2005, 07:54
laxieqv wrote:
gamjatang wrote:
When n = 100x + 10y + z, function f is defined as f(n) = (2^x)(3^y)(5^z).

If f(v) = 9f(u), what is v minus u?

(Answer choices not available)


notice 9= 3^2 --> the only possible difference between f(v) and f(t) is of 3^y ....f(v) contains 3^(y+2) ...powers of 2 and 5 in both functions f() are the same

----> u= 100x+10y+z and v= 100x+10(y+2) +z
----> v-u= 10*2= 20


:cool
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Re: PS - Function [#permalink] New post 07 Dec 2005, 07:05
bewakoof wrote:
laxieqv wrote:
gamjatang wrote:
When n = 100x + 10y + z, function f is defined as f(n) = (2^x)(3^y)(5^z).

If f(v) = 9f(u), what is v minus u?

(Answer choices not available)


notice 9= 3^2 --> the only possible difference between f(v) and f(t) is of 3^y ....f(v) contains 3^(y+2) ...powers of 2 and 5 in both functions f() are the same

----> u= 100x+10y+z and v= 100x+10(y+2) +z
----> v-u= 10*2= 20


u are GENIIUS!


Yes she is.

The OA is 20.
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 [#permalink] New post 07 Dec 2005, 07:38
crap, I could never get that.
Would this be considered medium difficulty or hard?
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 [#permalink] New post 08 Dec 2005, 11:04
Got 20 as well. Only way to increase 9 fold is using 3^2 which means y has increased by 2 and 10*2 = 20.
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 [#permalink] New post 09 Dec 2005, 09:38
stretchad wrote:
crap, I could never get that.
Would this be considered medium difficulty or hard?


I'd say, this question falls in the "super hard" category.
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 [#permalink] New post 09 Dec 2005, 10:17
gamjatang wrote:
stretchad wrote:
crap, I could never get that.
Would this be considered medium difficulty or hard?


I'd say, this question falls in the "super hard" category.


Do you get this type of questions in the real test.
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  [#permalink] 09 Dec 2005, 10:17
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