Binomial Theorem Question 15
Question 15 - 30 January - Shift 2
$50^{\text{th }}$ 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________
Show Answer
Answer: 23
Solution:
Formula: Binomial Theorem
$x+y=12^{50}+18^{50}=(150-6)^{25}+(325-1)^{25}$
$x+y=25 K-(6^{25}+1)=25 K-((5+1)^{25}+1)$
$x+y=25 K_1-2 \quad$
Remainder $=23$
