NCHMCT JEE 2021 Question Paper with solutions for online practice

Question : 89 of 200

Marks: +1, -0

A number when divided by 6 leaves remainder 3 . When the square of the same number is divided by 6 , the remainder is

Solution:

Number

=6 P+3

Square of number

=(6 P+3)^{2}

=36 P^{2}+9+36 P

=36 P^{2}+36 P+6+3

=6(6 P^{2}+6 P+1)+3

Square of number is divided by 6 , we get 3 remainder.

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