New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Binomial Theorem question

2023 · 30 Jan · Shift 2 · Q44

Guest · try one question or challengeGuest · try one question or challenge

PYQ Library
JEE Main
Mathematics
Binomial Theorem
2023 · 30 Jan · Shift 2 · Q44

Binomial Theorem question

2023 · 30 Jan · Shift 2 · Q44

JEE MainMathematicsBinomial TheoremNumerical+4 / −1

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

\underline{\hspace{2cm}}

.

Numerical answer

More from Binomial Theorem

The remainder on dividing $5^{99}$ by 11 is .2023 · Numerical
Let $α > 0$ , be the smallest number such that the expansion of $(x^{\frac{2}{3}} + \frac{2}{x ^{3}})^{30}$ has a term $β x^{- α}, β \in N$ . Then $α$ is equal to .2023 · Numerical
The coefficient of $x^{- 6}$ , in the expansion of $(\frac{4 x}{5} + \frac{5}{2 x ^{2}})^{9}$ , is2023 · Numerical
If the constant term in the binomial expansion of $(\frac{x ^{\frac{5}{2}}}{2} - \frac{4}{x ^{l}})^{9}$ is $- 84$ and the coefficient of $x^{- 3 l}$ is $2^{α} β$ , where $β < 0$ is an odd number, then $∣ α l - β ∣$ …2023 · Numerical
The remainder when 32022 is divided by 5 is :2022 · MCQ
The remainder on dividing 1 + 3 + 32 + 33 + ..... + 32021 by 50 is .2022 · Numerical
If the maximum value of the term independent of $t$ in the expansion of $(t^{2} x^{\frac{1}{5}} + \frac{( 1 - x ) ^{\frac{1}{10}}}{t})^{15}, x ⩾ 0$ , is $K$ , then $8 K$ is equal to …2022 · Numerical
The remainder when $(11)^{1011} + (1011)^{11}$ is divided by 9 is2022 · MCQ