Aptitude - Square Root and Cube Root - Discussion

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"In the middle of difficulty lies opportunity."

- Albert Einstein

15.

The square root of 64009 is:

[A].	253	[B].	347
[C].	363	[D].	803

Answer: Option C

Explanation:

   2|64009( 253
    |4
    |----------
  45|240
    |225
    |----------
 503|  1509
    |  1509
    |----------
    |     X
    |----------

64009 = 253.

Yuvaraj said: (Tue, Jul 27, 2010 05:26:55 PM)

How 45 and 503 came in this problem please add more similar problems with explanation?

Sarath said: (Fri, Oct 15, 2010 05:11:30 AM)

Please explain the step by step procedure of finding square root of a number that solves above.

Harigaran said: (Thu, Dec 30, 2010 04:59:22 AM)

Please explain this problem step by step.

Deepan said: (Fri, Jan 28, 2011 01:19:43 PM)

In this problem, we take first three digit i mean 640 the well before the square no is 625 which is 25 square. Then the last digit is 9, clearly ending 9 reveals that it is 3 or 7. For clarifying this do square of 255 we get 75025. It obviously tells that the answer is 253.

Dilip said: (Sun, Feb 13, 2011 03:59:29 AM)

How 45 and 503 came in this problem please add more similar problems with explanation?

Sakshi said: (Thu, Mar 3, 2011 02:28:44 AM)

Another way to solve it.. get the L.C.M of 64009 it will be 11112323=64009 11 square 23square = 64009 so, the square root of 64009= 11*23=253

Amar said: (Sun, Jul 31, 2011 10:49:52 AM)

Add the previous no (2+2=4) and den guess for the a no to divide 240 (ie 5, 45 * 5 = 225); Add the previous no (45 + 5 =50) and den guess for the a no to divide 1509 (ie 3, 503 * 3 = 1509).

Google said: (Fri, Dec 30, 2011 01:18:28 PM)

Easy way to solve this problem is use the all hints and multiply them 2 times you get the answer. Example =====253*253=64009.

C.M.Rafeek said: (Thu, Feb 9, 2012 10:06:33 PM)

@ Amar In the same way how we can find the square root of 737881 ? What number we will take into first consideration ? 7 or 73 ? If 7 it will be 2 (22). -> leads to mistake. if 73 it will be 8 (88) -> leads to correct answer.

Khairu. said: (Fri, Feb 10, 2012 04:53:59 PM)

@Rafeek Count the digits of the given number. If it is odd take only the first number, If it is even take first and second number for first consideration. In this example the number 64009 is a 5 digit number. 5 is odd number. So take only 6 for first consideration.