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Algebra

Blazing goIITian

 Joined: 19 Mar 2012 Post: 421
28 Apr 2012 14:58:58 IST
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ALGEBRA
Engineering Entrance , JEE Main , JEE Main & Advanced , Mathematics , Algebra

find the units digit of 248^75

Blazing goIITian

Joined: 19 Mar 2012
Posts: 421
28 Apr 2012 15:55:48 IST
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Scorching goIITian

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28 Apr 2012 16:26:48 IST
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2

Blazing goIITian

Joined: 19 Mar 2012
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28 Apr 2012 17:39:44 IST
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how 2?

Scorching goIITian

Joined: 18 Mar 2010
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28 Apr 2012 17:45:56 IST
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248 = 23 * 31    => NOW 24875  =   2225 * (30+1)75

Now (30+1)75  ends with 1 (using binomial)  and  2225   ends with 2  (since after 4 powers of 2 the units place repeat i.e 22 =4 23 =8 ,24 =16 , 25 =32 and so on,...)

therfore there product ends with 2

Blazing goIITian

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28 Apr 2012 17:50:04 IST
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THANKSSS

Scorching goIITian

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28 Apr 2012 17:51:34 IST
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pls rate

Blazing goIITian

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28 Apr 2012 17:54:32 IST
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HOW TO RATE?????

Scorching goIITian

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28 Apr 2012 17:57:08 IST
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click on this(see image below) above my post to post to rate

New kid on the Block

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29 Apr 2012 10:48:16 IST
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ALGEBRA

New kid on the Block

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29 Apr 2012 10:48:17 IST
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ALGEBRA

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