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# The 7th digit of (202)^3 is 1) 2 2) 4 3) 8 4) 6

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CEO
Joined: 15 Aug 2003
Posts: 3454
The 7th digit of (202)^3 is 1) 2 2) 4 3) 8 4) 6  [#permalink]

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11 Oct 2003, 05:59
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The 7th digit of (202)^3 is

1) 2
2) 4
3) 8
4) 6

Intern
Joined: 03 May 2003
Posts: 28
Re: PS : 7th Digit [#permalink]

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11 Oct 2003, 13:27
praetorian123 wrote:
The 7th digit of (202)^3 is

1) 2
2) 4
3) 8
4) 6

Did it the cheap way -
202*202 = 40804
40804 * 202 = 8242408
7th digit is 8

Have another method?
CEO
Joined: 15 Aug 2003
Posts: 3454
Re: PS : 7th Digit [#permalink]

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13 Oct 2003, 01:26
exy18 wrote:
praetorian123 wrote:
The 7th digit of (202)^3 is

1) 2
2) 4
3) 8
4) 6

Did it the cheap way -
202*202 = 40804
40804 * 202 = 8242408
7th digit is 8

Have another method?

correct!

yes, i do

(202)^3 ~ (200)^3 = 8000000

Which is a 7 digit number.

Therefore, 7th digit is the last digit.

(202)^1 ends in 2;

(202)^2 ends in 4;

(202)^3 ends in 8;

Thanks
Praetorian
SVP
Joined: 03 Feb 2003
Posts: 1604

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13 Oct 2003, 01:52
my approach is quick calculation: 202┬│=(2*101)┬│=8*(100+1)┬│=8*(1 000 000 + 30 000 + 300 + 1)=8*1 030 301=8242408
13 Oct 2003, 01:52
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