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Algebra

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24 Feb 2009 13:08:21 IST

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if x = 2+22+222+2222+...+222...222(3000 terms) find the thousand, hundred tens and unit digits of x.

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if x = 2+22+222+2222+...+222...222(3000 terms) find the thousand, hundred tens and unit digits of x..

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venkat

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Joined: 30 Nov 2008

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24 Feb 2009 15:59:57 IST

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the units digit is 0(becuase there are 3000 terms and if you add 2 for 3000 times we are going to get 6000 in which 0 is brought down and 600 is carried forward).

now you are adding 2 for 2999 times.So it would result 5998 to which you are adding 600.

so the tens place is 8.

now try for thousand's place.

unit's place - 0

ten's place - 8

all the best of your exams.

please reply me.

Asmita Bhattacharya

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24 Feb 2009 19:12:55 IST

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for unit's digit::::::2 x 3000= 600 0.... i.e. unit digit of x is 0

ten's digit::::::2 x 2999+600 = 659 8.... ten's digit z 8

100's digit::::::2 x 2998+659= 665 5 ........ 100's digit z 5

1000's digit::::::2 x 2997+665 = 665 9....... 1000's digit z 9

chirag gagrani

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24 Feb 2009 20:25:12 IST

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Hey,anirudh,this question was asked in 11th NSO.If you gave it,then do you remember the 4th question?I clearly do not remember the figures in it.

Anirudh Kumar

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25 Feb 2009 08:27:51 IST

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sorry i don't if you give more clue to what was the question?

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