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Q.

Find the least six-digit number which is a perfect square.


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a

100489

b

100589

c

100689

d

100789 

answer is A.

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Detailed Solution

Concept- Locate the smallest six-digit number first next, determine its square root. Verify whether a square root is an integer or not after obtaining one. Find the nearest integer to the square root that is greater than the square-root itself if it is not an integer. You'll know the necessary response.
The least six-digit integer that is a perfect square must be found in this case. Therefore, we will start by identifying the smallest or least six-digit number. 100000 is the smallest six-digit number. In order to determine whether or not the square root of this smallest six-digit number is an integer, we must first find its square root.
Question ImageThe pairs of numbers are taken out from underneath the square-root since they are perfect squares.
Question ImageQuestion ImageQuestion ImageThe calculated square-root is not an integer like it is in decimal form. Therefore, we must locate the nearest number that is larger than the square root. Therefore, the obtained square-root is bigger than the nearest integer, 317, which is 316.23. Now, we shall multiply 317 by itself to determine the ideal square.
Question ImageHence, the correct answer is option 1.
 
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