A gardener has $1000$ plants. He wants to plants to plant these in such a way that the number of rows and the number of columns remain same. Find the minimum number of plants he needs more for this.

see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.

An Intiative by Sri Chaitanya

answer is B.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Given that a gardener has 1000 plants.
If the number of rows and number of columns are to be equal, then the total number of trees will be in the form of

x^{2}

, which is nothing but a perfect square.
As 1000 is not a perfect square, you need to check for a perfect square above and nearest to 1000.
It's 1024, which is square of 32.
So, he needs to add 24 more trees to get 1024.
Therefore, option (2) is correct.

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 Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

Ready to Test Your Skills?

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

Take Free Test