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please show me the right method

Expert replies
by raunekk » Fri May 30, 2008 4:12 am
hey guys ..do u have a specific method for solving this kinda questions...??


q)
The function f is defined for each positive three-digit integer n by f(n) = 2x3y5z, where x, y and z
are the hundreds, tens, and units digits of n, respectively. If m and v are three-digit positive
integers such that f(m) = 9f(v), then m-v = ?
A. 8
B. 9
C. 18
D. 20
E. 80
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Source: — Problem Solving |

by keepsmilinyaar » Fri May 30, 2008 6:50 am
no offense but are you sure you got the question correct??
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by egybs » Fri May 30, 2008 9:03 am
agreed.. the question, as asked, is impossible.
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by aatech » Fri May 30, 2008 9:15 am
six digits no multiplied by 9 resulting into another 6 digit no.... weird
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its like tis

by raunekk » Fri May 30, 2008 10:01 am
Its nt 6 digits......its 2^x3^y5^z...
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by silvia928 » Fri May 30, 2008 10:08 am
i think the question states correctly cuz I run into an exactly same question and having problem with....
can anyone help...the answer should be 20.
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by egybs » Fri May 30, 2008 10:14 am
How can 2xxxxx *9 = 2xxxxx??

Something was mixed up in the question... it's probably something subtle.. but i'm fairly certain it's there.
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Re: its like tis

by egybs » Fri May 30, 2008 10:21 am
raunekk wrote:Its nt 6 digits......its 2^x3^y5^z...
Ahh there you go... In that case it's fairly easy.

let's assume that V = 111

So we get 2^1*3^1*5^1 = 2*3*5 = 30

f(V) = 30
Therefore F(M) = 270

If we factor 270, we find 3*3*3*5*2 which is equal to 2^1*3^3*5^1

Therefore M = 131

131-111 = 20

Or alternatively you could just give it some thought. Since we know f(m) has to be 9 times bigger than f(v), and 9 = 3^2.. we know that there will always be two more 3s in the factor of f(m) than f(v). Which leads you to the answer of 20.
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thanks

by raunekk » Fri May 30, 2008 9:29 pm
thanks egybs...i made an assumption tat x,y, and z cant be equal.. but as such i tried wit x=1,y=2 n z=3.. and got d answer... thanks:)




btw can u give me some advice as to how to improve my score in quant.. i m a bit weak at it..i dont seem 2 develop tat logic.!!can u suggest me some good books.. i am weak at permutation combination,number system and word problems...pls advice
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