Question

$50^{\text {th }}$ root of a number $x$ is 12 and $50^{\text {th }}$ root of another number $y$ is 18 Then the remainder obtained on dividing $(x+y)$ by 25 is_____

Answer 1

x+y=1250+1850=(150−6)25+(325−1)25
=25K−(625+1)=25K−((5+1)25+1)
=25K1​−2
Remainder =23
So , the correct answer is 23.