Trick to find squares of numbers which have 5 as their last digit

Scorching goIITian

Posted on
12 Nov 2011 13:26:15 IST
Posts: 233
12 Nov 2011 13:26:15 IST
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Trick to find squares of numbers which have 5 as their last digit
Engineering Entrance , JEE Main , JEE Main & Advanced , Mathematics , academic , Miscellaneous

Here is an Easy way to find Squares of numbers which contain 5 as their last digit..

Consider the digits written before 5 as a single number and multiply it be its succcessor and then write it and put 25 as the last two digits of it...

For example:

to find square of 15::  (1*2)=2 and then write 25 at the end ,ie. 225

similarly to find square of 25:: (2*3)=6 and then write 25 at the end i.e, 625

for finding square of 105:: (10*11)=110 and then write 25 at the end ,i.e, 11025

PLS RATE IT IF YOU LIKE IT !!

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Comments (19)


New kid on the Block

Joined: 6 Nov 2011 22:43:36 IST
Posts: 1
13 Nov 2011 11:57:53 IST
0 people liked this

niceeeeee...!!

Scorching goIITian

Joined: 3 Nov 2011 11:32:20 IST
Posts: 233
13 Nov 2011 13:45:51 IST
0 people liked this

thnks!!!

Scorching goIITian

Joined: 3 Nov 2011 11:32:20 IST
Posts: 233
14 Nov 2011 10:45:21 IST
0 people liked this

isnt it gud guys???

Scorching goIITian

Joined: 3 Nov 2011 11:32:20 IST
Posts: 233
22 Feb 2012 18:11:41 IST
0 people liked this

???

Scorching goIITian

Joined: 3 Nov 2011 11:32:20 IST
Posts: 233
16 Mar 2012 12:31:43 IST
0 people liked this

????

Scorching goIITian

Joined: 3 Nov 2011 11:32:20 IST
Posts: 233
19 Mar 2012 11:39:03 IST
0 people liked this

thnks 4 d lyks...

New kid on the Block

Joined: 29 Sep 2011 16:25:58 IST
Posts: 18
19 Mar 2012 14:34:47 IST
0 people liked this

ya...its nicee....

Scorching goIITian

Joined: 3 Nov 2011 11:32:20 IST
Posts: 233
19 Mar 2012 19:18:58 IST
0 people liked this

thnks

Scorching goIITian

Joined: 3 Nov 2011 11:32:20 IST
Posts: 233
19 Mar 2012 19:25:01 IST
0 people liked this

n do rate it..

Blazing goIITian

Joined: 27 Dec 2010 11:39:18 IST
Posts: 1508
20 Mar 2012 12:41:17 IST
2 people liked this

i will show how it works.

the numbers are of the form 10n + 5.

(10n+5)^2 = 100n^2 + 100n + 25.

or, 100n(n+1) + 25.

since we are multiplying by 100, at least 2 zeroes must be at the end , so adding 25 will result in the last two digits be 25.

n(n+1) is also justified.

 

 


Scorching goIITian

Joined: 3 Nov 2011 11:32:20 IST
Posts: 233
1 May 2012 21:08:27 IST
1 people liked this

rite....

Cool goIITian

Joined: 26 Apr 2012 22:36:43 IST
Posts: 60
1 May 2012 21:46:35 IST
0 people liked this

good work rishabh

Cool goIITian

Joined: 26 Apr 2012 22:36:43 IST
Posts: 60
1 May 2012 21:46:59 IST
0 people liked this

it's awesome

New kid on the Block

Joined: 25 Mar 2012 11:59:21 IST
Posts: 28
2 May 2012 09:05:54 IST
0 people liked this

 its very nice


Scorching goIITian

Joined: 3 Nov 2011 11:32:20 IST
Posts: 233
2 May 2012 10:01:45 IST
0 people liked this

thnks guys....

New kid on the Block

Joined: 5 May 2012 17:48:37 IST
Posts: 3
5 May 2012 18:35:55 IST
0 people liked this

very nice

Scorching goIITian

Joined: 3 Nov 2011 11:32:20 IST
Posts: 233
6 May 2012 12:30:17 IST
0 people liked this

hit like then....

New kid on the Block

Joined: 15 May 2011 14:07:49 IST
Posts: 6
10 May 2012 09:18:53 IST
0 people liked this

gr8 man. please post some more of these kinda shortcuts. plz...

Scorching goIITian

Joined: 3 Nov 2011 11:32:20 IST
Posts: 233
10 May 2012 10:35:55 IST
0 people liked this

hit like buddy....



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