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2021 JEE PYQ

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE Main 2021
The number of 4-digit numbers which are neither multiple of 7 nor multiple of 3 is ______.
JEE Main Mathematics Hard
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Q JEE MAIN 2021
If $x \phi(\mathrm{x})=\int_5^x\left(3 t^2-2 \phi^{\prime}(\mathrm{t})\right) d t, x>-2$, and $\phi(0)=4$, then $\phi(2)$ is
JEE Main Mathematics Easy
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Q JEE MAIN 2021
The number of six letter words (with or without meaning), formed using all the letters of the word 'VOWELS', so that all the consonants never...
JEE Main Mathematics Easy
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Q JEE MAIN 2021
If the variable line $3 x+4 y=\alpha$ lies between the two circles $(x-1)^2+(y-1)^2=1$ and $(x-9)^2+(y-1)^2=4$, without intercepting a chord on either circle, then the sum...
JEE Main Mathematics Medium
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Q JEE Main 2021
If the coefficient of $a^7 b^8$ in the expansion of $(a+2 b+4 a b)^{10}$ is $K .2^{16}$, then $K$ is equal to $\_\_\_\_$ .
JEE Main Mathematics Medium
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Q JEE MAIN 2021
The mean of 10 numbers $$ 7 \times 8,10 \times 10,13 \times 12,16 \times 14, \ldots . \text { is } $$
JEE Main Mathematics Easy
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Q JEE Main 2021
The mean and variance of 7 observations are 8 and 16 respectively. If two observations are 6 and 8, then the variance of the remaining...
JEE Main Mathematics Medium
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Q JEE MAIN 2021
If ' $R$ ' is the least value of ' $a$ ' such that the function $f(x)=x^2+a x+1$ is increasing on $[1,2]$ and ' $S$...
JEE Main Mathematics Easy
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Q JEE MAIN 2019
The pressure wave, P = 0.01sin $[1000 t-3 \times] \mathrm{Nm}^{-2}$ , corresponds to the sound produced by a vibrating blade on a day when atmospheric...
JEE Main Physics Medium
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Q JEE MAIN 2021
The square of the distance of the point of intersection of the line $\frac{x-1}{2}=\frac{y-2}{3}=\frac{z+1}{6}$ and the plane $2 x-y+z=6$ from the point $(-1,-1,2)$ is $\_\_\_\_$...
JEE Main Mathematics Easy
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