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Solve in 15 seconds

Expert replies
by dtweah » Sat May 23, 2009 3:44 am
1) Which of the following is equal to 955^2

A. 900025

B. 912025

C. 925525

D. 935025

E. 950255
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Source: — Problem Solving |

Re: Solve in 15 seconds

by Vemuri » Sat May 23, 2009 4:50 am
955^2 ==> (1000-45)^2 ==> 1000000 + 45^2 - 90000 ==> 910000 + 45^2. So, the answer should be just above 910000. The only answer closest is B.
Note: We don't need to find the square of 45^2.
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Re: Solve in 15 seconds

by dtweah » Sat May 23, 2009 8:42 am
Vemuri wrote:955^2 ==> (1000-45)^2 ==> 1000000 + 45^2 - 90000 ==> 910000 + 45^2. So, the answer should be just above 910000. The only answer closest is B.
Note: We don't need to find the square of 45^2.
Nice try Vemuri but risky. Here is a trick for squaring numbers that end in 5.

If 2 digits, such as 15^2 multiply the tenth digit and 1+tenth digit and add 25 to the end.
(1) (2) =2 just add 25 to end 225. If more than 2 digits treat rest of digits as tenth and do the same trick.

So 95 96 and add 25 to end of product. But

95 ( 95+1)

95^2 +95 ( you have another sqare invoing 5 at end)

9 x 10= 90 add 25 to end 9025 +95=9120 don't forget to add the 25 from original problem

912025.

So Never waste time on traditionally muliplying any square that ends in 5

Numbers like 45^2 75^2 85^2 may kill some time on GMAT when solving problems plus a liitle error and you are done.
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by dumb.doofus » Sat May 23, 2009 7:12 pm
true.. its vedic mathematics.. quite simple stuff.. thanks for sharing..

https://www.vedicmaths.org/Introduction/ ... #tutorial5
One love, one blood, one life. You got to do what you should.
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by ssmiles08 » Sun May 24, 2009 6:25 am
dumb.doofus wrote:true.. its vedic mathematics.. quite simple stuff.. thanks for sharing..

https://www.vedicmaths.org/Introduction/ ... #tutorial5
That is an awesome link! Thanks!
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by GMAT12 » Tue May 26, 2009 8:19 am
Thanks for the links. :D
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