Well what I need to know is if a 9 digit number consists of each digit from 1 to 9 and the 9 digit number is divisible by 9. If you remove the rightmost digit, the remaining 8 digit number will be divisible by eight. If you remove the next rightmost digit, the remaining 7 digit number will be divisible by 7. If you remove the next rightmost digit, the remaining 6 digit number will be divisible by 6. This process continues to one. What is the original nine-digit number?

Well what I need to know is if a 9 digit number consists of each digit from 1 to 9 and the 9 digit number is divisible by 9. If you remove the rightmost digit, the remaining 8 digit number will be divisible by eight. If you remove the next rightmost digit, the remaining 7 digit number will be divisible by 7. If you remove the next rightmost digit, the remaining 6 digit number will be divisible by 6. This process continues to one. What is the original nine-digit number?

let the first digit be a1, second a2 . . .
1) You know a2, a4, a6 and a8 are even
2) So you know a1, a3, a5, a7 and a9 are odd.

3) You know a5 = 5.

Now because of 2), you know 4 divides 10 * a3 +a5. So a4 is 2 or 6. Similarly, a8 is 2 or 6. So a2 is 4 or 8 and a6 is 4 or 8.

3 divides 100* a7 + 10 * a8 + a9 (why?) and from this you can deduce a7 is 3, 7 or 9 (not 1).

3 divides 100* a4 + 10 * a5 + a6 (why) so those numbers are
258 or 654

Playing around you get the first three numbers (a1-a3) are one of
147
381
387
741
783
789
981
987

the second three are one of
258
654

The final three are
321
327
723
729
963

Now since these numbers have to be unique, (one of each) you can eliminate some of them. For example, the first three cannot be 387 (why) or 783 (why)

So picking combination where we do not have repeats, the possible numbers are
147258963 (fails division by 7)
381654729
741258963 (fails division by 7)
789654321 (fails division by 7)
981654327 (fails division by 7)
987654321 (fails division by 7)

Well what I need to know is if a 9 digit number consists of each digit from 1 to 9 and the 9 digit number is divisible by 9. If you remove the rightmost digit, the remaining 8 digit number will be divisible by eight. If you remove the next rightmost digit, the remaining 7 digit number will be divisible by 7. If you remove the next rightmost digit, the remaining 6 digit number will be divisible by 6. This process continues to one. What is the original nine-digit number?

let the first digit be a1, second a2 . . .
1) You know a2, a4, a6 and a8 are even
2) So you know a1, a3, a5, a7 and a9 are odd.

3) You know a5 = 5.

Now because of 2), you know 4 divides 10 * a3 +a5. So a4 is 2 or 6. Similarly, a8 is 2 or 6. So a2 is 4 or 8 and a6 is 4 or 8.

3 divides 100* a7 + 10 * a8 + a9 (why?) and from this you can deduce a7 is 3, 7 or 9 (not 1).

3 divides 100* a4 + 10 * a5 + a6 (why) so those numbers are
258 or 654

Playing around you get the first three numbers (a1-a3) are one of
147
381
387
741
783
789
981
987

the second three are one of
258
654

The final three are
321
327
723
729
963

Now since these numbers have to be unique, (one of each) you can eliminate some of them. For example, the first three cannot be 387 (why) or 783 (why)

So picking combination where we do not have repeats, the possible numbers are
147258963 (fails division by 7)
381654729
741258963 (fails division by 7)
789654321 (fails division by 7)
981654327 (fails division by 7)
987654321 (fails division by 7)

[COLOR="red"]A hedge fund is an investment fund open to a limited range of investors that is permitted by regulators to undertake a wider range of investment and trading activities than other investment funds, and that, in general, pays a performance fee to its investment manager. Every hedge fund has its own investment strategy that determines the type of investments and the methods of investment it undertakes. Hedge funds, as a class, invest in a broad range of investments including shares, debt and commodities.

^^That advice has cost you £300. If you do not pay me within a week I will send the bailiffs round.^^[/COLOR]

let the first digit be a1, second a2 . . .
1) You know a2, a4, a6 and a8 are even
2) So you know a1, a3, a5, a7 and a9 are odd.

3) You know a5 = 5.

Now because of 2), you know 4 divides 10 * a3 +a5. So a4 is 2 or 6. Similarly, a8 is 2 or 6. So a2 is 4 or 8 and a6 is 4 or 8.

3 divides 100* a7 + 10 * a8 + a9 (why?) and from this you can deduce a7 is 3, 7 or 9 (not 1).

3 divides 100* a4 + 10 * a5 + a6 (why) so those numbers are
258 or 654

Playing around you get the first three numbers (a1-a3) are one of
147
381
387
741
783
789
981
987

the second three are one of
258
654

The final three are
321
327
723
729
963

Now since these numbers have to be unique, (one of each) you can eliminate some of them. For example, the first three cannot be 387 (why) or 783 (why)

So picking combination where we do not have repeats, the possible numbers are
147258963 (fails division by 7)
381654729
741258963 (fails division by 7)
789654321 (fails division by 7)
981654327 (fails division by 7)
987654321 (fails division by 7)

let the first digit be a1, second a2 . . .
1) You know a2, a4, a6 and a8 are even
2) So you know a1, a3, a5, a7 and a9 are odd.

3) You know a5 = 5.

Now because of 2), you know 4 divides 10 * a3 +a5. So a4 is 2 or 6. Similarly, a8 is 2 or 6. So a2 is 4 or 8 and a6 is 4 or 8.

3 divides 100* a7 + 10 * a8 + a9 (why?) and from this you can deduce a7 is 3, 7 or 9 (not 1).

3 divides 100* a4 + 10 * a5 + a6 (why) so those numbers are
258 or 654

Playing around you get the first three numbers (a1-a3) are one of
147
381
387
741
783
789
981
987

the second three are one of
258
654

The final three are
321
327
723
729
963

Now since these numbers have to be unique, (one of each) you can eliminate some of them. For example, the first three cannot be 387 (why) or 783 (why)

So picking combination where we do not have repeats, the possible numbers are
147258963 (fails division by 7)
381654729
741258963 (fails division by 7)
789654321 (fails division by 7)
981654327 (fails division by 7)
987654321 (fails division by 7)

[COLOR="red"]A hedge fund is an investment fund open to a limited range of investors that is permitted by regulators to undertake a wider range of investment and trading activities than other investment funds, and that, in general, pays a performance fee to its investment manager. Every hedge fund has its own investment strategy that determines the type of investments and the methods of investment it undertakes. Hedge funds, as a class, invest in a broad range of investments including shares, debt and commodities.
^^That advice has cost you £300. If you do not pay me within a week I will send the bailiffs round.^^[/COLOR]

[COLOR=red]You pretend to work for the police.[/COLOR]
correct
[COLOR=red]I pay for your benefits.[/COLOR]
correct
[COLOR=red]Wow, you are at the bottom of the food chain.[/COLOR]

correct..you have me there .. but you tell lies .. :thumbsup: HTH cheers harvie your so spot on with your observations

A hedge fund is an investment fund open to a limited range of investors that is permitted by regulators to undertake a wider range of investment and trading activities than other investment funds, and that, in general, pays a performance fee to its investment manager. Every hedge fund has its own investment strategy that determines the type of investments and the methods of investment it undertakes. Hedge funds, as a class, invest in a broad range of investments including shares, debt and commodities.

^^That advice has cost you £300. If you do not pay me within a week I will send the bailiffs round.^^

technically that wasnt advice all you did was answer a simple question with a fact, not really advice is it :roll:

## All Comments

(306) Jump to unreadLockedgood thread mate, you invested in anything lately? I brought 35k worth of steel as a future investment.let the first digit be a1, second a2 . . .

1) You know a2, a4, a6 and a8 are even

2) So you know a1, a3, a5, a7 and a9 are odd.

3) You know a5 = 5.

Now because of 2), you know 4 divides 10 * a3 +a5. So a4 is 2 or 6. Similarly, a8 is 2 or 6. So a2 is 4 or 8 and a6 is 4 or 8.

3 divides 100* a7 + 10 * a8 + a9 (why?) and from this you can deduce a7 is 3, 7 or 9 (not 1).

3 divides 100* a4 + 10 * a5 + a6 (why) so those numbers are

258 or 654

Playing around you get the first three numbers (a1-a3) are one of

147

381

387

741

783

789

981

987

the second three are one of

258

654

The final three are

321

327

723

729

963

Now since these numbers have to be unique, (one of each) you can eliminate some of them. For example, the first three cannot be 387 (why) or 783 (why)

So picking combination where we do not have repeats, the possible numbers are

147258963 (fails division by 7)

381654729

741258963 (fails division by 7)

789654321 (fails division by 7)

981654327 (fails division by 7)

987654321 (fails division by 7)

So the answer is 381654729

HTH[COLOR="Red"]

I don't get pocket money.

I did earn £6K this week though.[/COLOR]

plus one

123456789?

[COLOR="Red"]Depends on your income, the amount of money you have, the value of the property etc.[/COLOR]

Copy and pasted, cos you can't type that quick and answer it that quick :p

[COLOR=red]I don't get pocket money.[/COLOR]

[COLOR=red]I did earn £6K this week though.[/COLOR]

6k is that all .. I made that in 24hrs .. pulled in 50k this week :thumbsup:

[COLOR="Red"]Depends.[/COLOR]

let the first digit be a1, second a2 . . .

1) You know a2, a4, a6 and a8 are even

2) So you know a1, a3, a5, a7 and a9 are odd.

3) You know a5 = 5.

Now because of 2), you know 4 divides 10 * a3 +a5. So a4 is 2 or 6. Similarly, a8 is 2 or 6. So a2 is 4 or 8 and a6 is 4 or 8.

3 divides 100* a7 + 10 * a8 + a9 (why?) and from this you can deduce a7 is 3, 7 or 9 (not 1).

3 divides 100* a4 + 10 * a5 + a6 (why) so those numbers are

258 or 654

Playing around you get the first three numbers (a1-a3) are one of

147

381

387

741

783

789

981

987

the second three are one of

258

654

The final three are

321

327

723

729

963

Now since these numbers have to be unique, (one of each) you can eliminate some of them. For example, the first three cannot be 387 (why) or 783 (why)

So picking combination where we do not have repeats, the possible numbers are

147258963 (fails division by 7)

381654729

741258963 (fails division by 7)

789654321 (fails division by 7)

981654327 (fails division by 7)

987654321 (fails division by 7)

So the answer is 381654729

HTHGoogle is definately your friend :lol:

[COLOR="Red"]No.[/COLOR]

[COLOR="Red"]Yes.[/COLOR]

good thread mate, you invested in anything lately? I brought 35k worth of steel as a future investment.[COLOR="Red"]Thanks, geeza.

I'm going to buy £30K worth of shares some time this week.[/COLOR]

wow. informative answers.

[COLOR="red"]A hedge fund is an investment fund open to a limited range of investors that is permitted by regulators to undertake a wider range of investment and trading activities than other investment funds, and that, in general, pays a performance fee to its investment manager. Every hedge fund has its own investment strategy that determines the type of investments and the methods of investment it undertakes. Hedge funds, as a class, invest in a broad range of investments including shares, debt and commodities.

^^That advice has cost you £300. If you do not pay me within a week I will send the bailiffs round.^^[/COLOR]

let the first digit be a1, second a2 . . .

1) You know a2, a4, a6 and a8 are even

2) So you know a1, a3, a5, a7 and a9 are odd.

3) You know a5 = 5.

Now because of 2), you know 4 divides 10 * a3 +a5. So a4 is 2 or 6. Similarly, a8 is 2 or 6. So a2 is 4 or 8 and a6 is 4 or 8.

3 divides 100* a7 + 10 * a8 + a9 (why?) and from this you can deduce a7 is 3, 7 or 9 (not 1).

3 divides 100* a4 + 10 * a5 + a6 (why) so those numbers are

258 or 654

Playing around you get the first three numbers (a1-a3) are one of

147

381

387

741

783

789

981

987

the second three are one of

258

654

The final three are

321

327

723

729

963

Now since these numbers have to be unique, (one of each) you can eliminate some of them. For example, the first three cannot be 387 (why) or 783 (why)

So picking combination where we do not have repeats, the possible numbers are

147258963 (fails division by 7)

381654729

741258963 (fails division by 7)

789654321 (fails division by 7)

981654327 (fails division by 7)

987654321 (fails division by 7)

So the answer is 381654729

HTHCongratulations, you can Google! http://sg.answers.yahoo.com/question/index?qid=20070402124245AA4y4e7

I'm going to buy £30K worth of shares some time this week.[/COLOR]

sick brah, defo CEO'er there,I think i might invest in some shares too, i got 150k in the bank that i can play withwhats it matter, the person who asked the question got there answer, wow strong googling BG1 again, i guess my avi is true brah!

and btw I didnt google it :)

1) You know a2, a4, a6 and a8 are even

2) So you know a1, a3, a5, a7 and a9 are odd.

3) You know a5 = 5.

3 divides 100* a7 + 10 * a8 + a9 (why?) and from this you can deduce a7 is 3, 7 or 9 (not 1).

3 divides 100* a4 + 10 * a5 + a6 (why) so those numbers are

258 or 654

Playing around you get the first three numbers (a1-a3) are one of

147

381

387

741

783

789

981

987

the second three are one of

258

654

The final three are

321

327

723

729

963

So picking combination where we do not have repeats, the possible numbers are

147258963 (fails division by 7)

381654729

741258963 (fails division by 7)

789654321 (fails division by 7)

981654327 (fails division by 7)

987654321 (fails division by 7)

So the answer is 381654729

HTH[COLOR="Red"]^^Serious knowledge, geeza^^[/COLOR]

I'm going to buy £30K worth of shares some time this week.[/COLOR]

This a new type of Monopoly?

Thought you guys were still playing

Seriously you guys not investing in long term bonds? Surely property/land is the way forward?

I'm going to buy £30K worth of shares some time this week.[/COLOR]

get a job in tesco, they give out shares for free :p

Don't think mcdonalds do though, so you're outta luck :thumbsup:

good thread mate, you invested in anything lately? I brought 35k worth of steel as a future investment.COLOR]^^That advice has cost you £300. If you do not pay me within a week I will send the bailiffs round.^^[/

internet bayliffs

And there's you touting for free lego.

Shame on you and almost unbelieveable in your claims!!!

PM u tomorrow with the outcome.:thumbsup:

Financial question for kfj:

How much would it cost for me to buy this website in order to take over the admin and ban certain members??

Thanks.

[COLOR="Red"]

You pretend to work for the police.

I pay for your benefits.

Wow, you are at the bottom of the food chain.[/COLOR]

All that he can manage:lol:

Don't think mcdonalds do though, so you're outta luck :thumbsup:

[COLOR="Red"]Wow, Tescos. Not jealous.

BTW it's Dean that works in McDonalds.

I work for a medium/large marketing company. :thumbsup:[/COLOR]

[COLOR=red]You pretend to work for the police.[/COLOR]

correct

[COLOR=red]I pay for your benefits.[/COLOR]

correct

[COLOR=red]Wow, you are at the bottom of the food chain.[/COLOR]

correct..you have me there .. but you tell lies .. :thumbsup: HTH cheers harvie your so spot on with your observations

[COLOR=red]BTW it's Dean that works in McDonalds.[/COLOR]

[COLOR=red]I work for a medium/large marketing company. :thumbsup:[/COLOR]

When do you go to school then?

thanks brah, I dont earn 300k after tax a year without this sort of knowledge!^^

That advice has cost you £300. If you do not pay me within a week I will send the bailiffs round.^^technically that wasnt advice all you did was answer a simple question with a fact, not really advice is it :roll: