1

JEE Main 2023 (Online) 1st February Morning Shift

Numerical

+4

-1

The remainder, when $$19^{200}+23^{200}$$ is divided by 49 , is ___________.

Your input ____

2

JEE Main 2023 (Online) 31st January Evening Shift

Numerical

+4

-1

The coefficient of $x^{-6}$, in the

expansion of $\left(\frac{4 x}{5}+\frac{5}{2 x^{2}}\right)^{9}$, is

expansion of $\left(\frac{4 x}{5}+\frac{5}{2 x^{2}}\right)^{9}$, is

Your input ____

3

JEE Main 2023 (Online) 31st January Evening Shift

Numerical

+4

-1

If the constant term in the binomial expansion of $\left(\frac{x^{\frac{5}{2}}}{2}-\frac{4}{x^{l}}\right)^{9}$ is $-84$ and the coefficient of $x^{-3 l}$ is
$2^{\alpha} \beta$, where $\beta<0$ is an odd number, then $|\alpha l-\beta|$ is equal to ________.

Your input ____

4

JEE Main 2023 (Online) 31st January Morning Shift

Numerical

+4

-1

The remainder on dividing $$5^{99}$$ by 11 is ____________.

Your input ____

Questions Asked from Mathematical Induction and Binomial Theorem (Numerical)

Number in Brackets after Paper Indicates No. of Questions

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