1
JEE Main 2023 (Online) 30th January Evening Shift
Numerical
+4
-1
Out of Syllabus
Change Language
The $8^{\text {th }}$ common term of the series

$$ \begin{aligned} & S_1=3+7+11+15+19+\ldots . . \\\\ & S_2=1+6+11+16+21+\ldots . . \end{aligned} $$

is :
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2
JEE Main 2023 (Online) 30th January Evening Shift
Numerical
+4
-1
Change Language
The number of seven digits odd numbers, that can be formed using all the

seven digits 1, 2, 2, 2, 3, 3, 5 is ____________.
Your input ____
3
JEE Main 2023 (Online) 30th January Evening Shift
Numerical
+4
-1
Change Language
Let $A$ be the area of the region

$\left\{(x, y): y \geq x^2, y \geq(1-x)^2, y \leq 2 x(1-x)\right\}$.

Then $540 \mathrm{~A}$ is equal to :
Your input ____
4
JEE Main 2023 (Online) 30th January Evening Shift
Numerical
+4
-1
Change Language
If the value of real number $a>0$ for which $x^2-5 a x+1=0$ and $x^2-a x-5=0$

have a common real root is $\frac{3}{\sqrt{2 \beta}}$ then $\beta$ is equal to ___________.
Your input ____
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