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

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

100489

100589

100689

100789

answer is A.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

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.

The pairs of numbers are taken out from underneath the square-root since they are perfect squares.

The 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.

Hence, the correct answer is option 1.

Watch 3-min video & get full concept clarity

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th