n less than 550

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n less than 550

by sanju09 » Thu Apr 09, 2009 1:57 am
Is the three-digit number n less than 550?

(1) The product of the digits in n is 30.

(2) The sum of the digits in n is 10.


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by sacx » Thu Apr 09, 2009 2:10 am
Stmt I

product of the digits = 30

the 3 digits number satisfying this condition can be - 235,532,325,651,516, 615..

Insuff

Stmt II

sum of the digit = 10

the 3 digits number satisfying this condition can be - 550,505,640,604,703,307,370...

Insuff

Stmt I & II

the only 3 digits that can satisfy both the statements are 2,3 and 5. the highest 3 digit number formed using these digits is 532 (<550)

[spoiler]Suff

C[/spoiler]
Last edited by sacx on Thu Apr 09, 2009 2:40 am, edited 1 time in total.
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by sanju09 » Thu Apr 09, 2009 2:35 am
sacx wrote
product of the digits = 30

the 3 digits number satisfying this condition can be - 235,532,325,650,506, 605..
according to this

6*5*0 = 5*0*6 = 6*0*5 = 30 :roll:
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by sacx » Thu Apr 09, 2009 2:41 am
I think I need a break and lots of alcohol :D

anyway I am off now for the long weekend to sunny Scotland :D

catch you guys soon!!
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by iamcste » Thu Apr 09, 2009 4:03 am
sanju09 wrote:sacx wrote
product of the digits = 30

the 3 digits number satisfying this condition can be - 235,532,325,650,506, 605..
according to this

6*5*0 = 5*0*6 = 6*0*5 = 30 :roll:

This wont but 651,516, 615 would work