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Q.

Find the square of the following number: 205.


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a

12045

b

42025

c

28255

d

40050 

answer is B.

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Detailed Solution

Concept- In order to solve this problem, we must first define the supplied number as the sum of two integers, each of whose square is easy to determine, and then expand the number in the appropriate way using the factorisation of the polynomial formula. Then, simplify it even further to obtain the outcome.
We know that
Question ImageQuestion ImageSplit the terms
Question ImageAccording to the formula
 We have  Question Image Substitute values
Question ImageQuestion ImageQuestion ImageThen, the square of 205 is 42025 .
Hence, the correct answer is option 2.
 
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