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QJEE MAIN 2020
Let $f(x)=x \cdot\left[\frac{x}{2}\right]$ for $-10
JEE MainMathematicsEasy
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QJEE MAIN 2020
The number of words, with or without meaning, that can be formed by taking 4 letters at a time from the letters of the word...
JEE MainMathematicsEasy
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QJEE MAIN 2020
The natural number m , for which the coefficient of $x$ in the binomial expansion of $\left(x^m+\frac{1}{x^2}\right)^{22}$ is 1540 , is $\_\_\_\_$ .
JEE MainMathematicsMedium
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Q JEE MAIN 2020
If the line, $2 x-y+3=0$ is at a distance $\frac{1}{\sqrt{5}}$ and $\frac{2}{\sqrt{5}}$ from the lines $4 x-2 y+\alpha=0$ and $6 x-3 y+\beta=0$, respectively, then the...
JEE MainMathematicsEasy
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QJEE MAIN 2020
Four fair dice are thrown independently 27 times. Then the expected number of times, at least two dice show up a three or a five,...
JEE MainMathematicsMedium
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QJEE MAIN 2020
If the volume of a parallelopiped, whose coterminus edges are given by the vectors $\vec{a}=\hat{i}+\hat{j}+n \hat{k}, \vec{b}=2 \hat{i}+4 \hat{j}-n \hat{k}$ and $...
JEE MainMathematicsMedium
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QJEE MAIN 2020
If the point $P$ on the curve, $4 x^2+5 y^2=20$ is farthest from the point $\mathrm{Q}(0,-4)$, then $\mathrm{PQ}^2$ is equal to :
JEE MainMathematicsEasy
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QJEE MAIN 2020
The product of the roots of the equation $9 x^2-18 |x|+5=0$, is :
JEE MainMathematicsEasy
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Q JEE MAIN 2020
If $2^{10}+2^9 \cdot 3^1+2^8 \cdot 3^2+\ldots .+2 \cdot 3^9+3^{10}=S-2^{11}$, then $S$ is equal to:
JEE MainMathematicsEasy
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Q JEE MAIN 2020
A survey shows that 73% of the persons working in an office like coffee, whereas 65% like tea. If x denotes the percentage of them,...
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