We need to blow open a safe to get the beer out.
SOMEBODY forgot the explosives, so we need to crack the combination
lock. Here's what we know:
*All digits from 0 to 9 are used exactly once.
*The sum of the 2nd, 5th, 6th and 8th digits is a single digit number.
*The 4th digit is a perfect square.
*The 3rd digit is 1.
*The sum of the 4th and 7th digits is a perfect square.
*The value of the 10th digit is twice that of the 2nd.
*The product of the 4th and 6th digits is equal to that of the 10th
and 2nd digits.
*The 5 is next to the 6 but not the 4.
Who's in?
-Zz
On Feb 5, 7:19=A0am, [email protected] (Doug Miller) wrote:
> In article <[email protected]=
.com>, allen476 <[email protected]> wrote:
>
> >On Feb 4, 9:22=3DA0pm, Zz Yzx <[email protected]> wrote:
> [...]
> >> *The 4th digit is a perfect square.
> >9
>
> 0, 1, and 4 are also perfect squares
> [...]
>
>
>
> >> *The sum of the 4th and 7th digits is a perfect square.
>
> >9&7
>
> 9+0 is also a perfect square
I miscounted, my mistake. I figured out the puzzle on paper before I
typed my answer, so as not to take up a lot of time. When I looked at
it, it seemed (at the time) that 3 numbers could get inverted thus
leaving 4 answers. (I know that it is 6, but 2 were disqualified).
The 9+0 reference wouldn't work as 0 has been used already in the
first equation and would have to be one of those numbers.
My bad, I shouldn't do these late at night.....
Allen
On Feb 4, 10:42=A0pm, allen476 <[email protected]> wrote:
> On Feb 4, 9:22=A0pm, Zz Yzx <[email protected]> wrote:
>
> > We need to blow open a safe to get the beer out.
>
> > SOMEBODY forgot the explosives, so we need =A0to crack the combination
> > lock. =A0Here's what we know:
>
> > *All digits from 0 to 9 are used exactly once.
>
> > *The sum of the 2nd, 5th, 6th and 8th digits is a single digit number.
>
> Any order for now 4,3,2,0
>
>
>
> > *The 4th digit is a perfect square.
>
> 9
>
>
>
> > *The 3rd digit is 1.
>
> Ok
>
>
>
> > *The sum of the 4th and 7th digits is a perfect square.
>
> 9&7
>
>
>
> > *The value of the 10th digit is twice that of the 2nd.
>
> 6&3
>
>
>
> > *The product of the 4th and 6th digits is equal to that of the 10th
> > and 2nd digits.
>
> 9&2 =A0 =A06&3
>
> > *The 5 is next to the 6 but not the 4.
>
> > Who's in?
>
> > -Zz
>
> 8 3 1 9 4 2 7 0 5 6
> or
> 8 3 1 9 2 4 7 0 5 6
> or
> 8 3 1 9 0 4 7 2 5 6
> or
> 8 3 1 9 4 0 7 2 5 6
>
> Allen
I think that your first answer is the correct one. The others fail
for the product of the 4th & 6th equal to the 2nd and 10th digits. I
repeated 7s in my answer, so I goofed.
On Feb 4, 9:59=A0pm, "Denis G." <[email protected]> wrote:
> On Feb 4, 8:22=A0pm, Zz Yzx <[email protected]> wrote:
>
>
>
>
>
> > We need to blow open a safe to get the beer out.
>
> > SOMEBODY forgot the explosives, so we need =A0to crack the combination
> > lock. =A0Here's what we know:
>
> > *All digits from 0 to 9 are used exactly once.
>
> > *The sum of the 2nd, 5th, 6th and 8th digits is a single digit number.
>
> > *The 4th digit is a perfect square.
>
> > *The 3rd digit is 1.
>
> > *The sum of the 4th and 7th digits is a perfect square.
>
> > *The value of the 10th digit is twice that of the 2nd.
>
> > *The product of the 4th and 6th digits is equal to that of the 10th
> > and 2nd digits.
>
> > *The 5 is next to the 6 but not the 4.
>
> > Who's in?
>
> > -Zz
>
> 7, 3, 1, 0, 4, 2, 7, 0, 5, 6- Hide quoted text -
>
> - Show quoted text -
Oops, I mistyped, it should be:
7, 3, 1, 9, 4, 2, 7, 0, 5, 6
On Feb 4, 8:22=A0pm, Zz Yzx <[email protected]> wrote:
> We need to blow open a safe to get the beer out.
>
> SOMEBODY forgot the explosives, so we need =A0to crack the combination
> lock. =A0Here's what we know:
>
> *All digits from 0 to 9 are used exactly once.
>
> *The sum of the 2nd, 5th, 6th and 8th digits is a single digit number.
>
> *The 4th digit is a perfect square.
>
> *The 3rd digit is 1.
>
> *The sum of the 4th and 7th digits is a perfect square.
>
> *The value of the 10th digit is twice that of the 2nd.
>
> *The product of the 4th and 6th digits is equal to that of the 10th
> and 2nd digits.
>
> *The 5 is next to the 6 but not the 4.
>
> Who's in?
>
> -Zz
7, 3, 1, 0, 4, 2, 7, 0, 5, 6
On Feb 4, 9:22=A0pm, Zz Yzx <[email protected]> wrote:
> We need to blow open a safe to get the beer out.
>
> SOMEBODY forgot the explosives, so we need =A0to crack the combination
> lock. =A0Here's what we know:
>
> *All digits from 0 to 9 are used exactly once.
>
> *The sum of the 2nd, 5th, 6th and 8th digits is a single digit number.
Any order for now 4,3,2,0
>
> *The 4th digit is a perfect square.
9
>
> *The 3rd digit is 1.
Ok
>
> *The sum of the 4th and 7th digits is a perfect square.
9&7
>
> *The value of the 10th digit is twice that of the 2nd.
6&3
>
> *The product of the 4th and 6th digits is equal to that of the 10th
> and 2nd digits.
>
9&2 6&3
> *The 5 is next to the 6 but not the 4.
>
> Who's in?
>
> -Zz
8 3 1 9 4 2 7 0 5 6
or
8 3 1 9 2 4 7 0 5 6
or
8 3 1 9 0 4 7 2 5 6
or
8 3 1 9 4 0 7 2 5 6
Allen
In article <[email protected]>, Zz Yzx <[email protected]> wrote:
>We need to blow open a safe to get the beer out.
>
>SOMEBODY forgot the explosives, so we need to crack the combination
>lock. Here's what we know:
>
>
>*All digits from 0 to 9 are used exactly once.
>
>*The sum of the 2nd, 5th, 6th and 8th digits is a single digit number.
>
>*The 4th digit is a perfect square.
>
>*The 3rd digit is 1.
>
>*The sum of the 4th and 7th digits is a perfect square.
>
>*The value of the 10th digit is twice that of the 2nd.
>
>*The product of the 4th and 6th digits is equal to that of the 10th
>and 2nd digits.
>
>*The 5 is next to the 6 but not the 4.
>
>Who's in?
>
>-Zz
Spoiler
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
8 3 1 9 4 2 7 0 5 6
In article <5b36dd0e-6862-46e4-91d3-6fd0c4c5701b@m16g2000yqc.googlegroups.com>, "Denis G." <[email protected]> wrote:
>On Feb 4, 9:59=A0pm, "Denis G." <[email protected]> wrote:
>>
>> 7, 3, 1, 0, 4, 2, 7, 0, 5, 6
>
>Oops, I mistyped, it should be:
>7, 3, 1, 9, 4, 2, 7, 0, 5, 6
Try again. You have two 7s and no 8.
In article <f578a27e-f644-477e-be13-522e354345ae@v36g2000vbs.googlegroups.com>, allen476 <[email protected]> wrote:
>On Feb 4, 9:22=A0pm, Zz Yzx <[email protected]> wrote:
[...]
>> *The 4th digit is a perfect square.
>9
0, 1, and 4 are also perfect squares
[...]
>>
>> *The sum of the 4th and 7th digits is a perfect square.
>
>9&7
9+0 is also a perfect square
Zz Yzx wrote:
> We need to blow open a safe to get the beer out.
>
> SOMEBODY forgot the explosives, so we need to crack the combination
> lock. Here's what we know:
>
>
> *All digits from 0 to 9 are used exactly once.
>
> *The sum of the 2nd, 5th, 6th and 8th digits is a single digit number.
>
> *The 4th digit is a perfect square.
>
> *The 3rd digit is 1.
>
> *The sum of the 4th and 7th digits is a perfect square.
>
> *The value of the 10th digit is twice that of the 2nd.
>
> *The product of the 4th and 6th digits is equal to that of the 10th
> and 2nd digits.
>
> *The 5 is next to the 6 but not the 4.
>
> Who's in?
>
> -Zz
While you're at it I'll just amble down to the EZ-Mart and get some.
--
Gerald Ross
Cochran, GA
Dawn: The time when men of reason go
to bed.