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QJEE Main 2021
The number of 4-digit numbers which are neither multiple of 7 nor multiple of 3 is ______.
JEE MainMathematicsHard
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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 MainMathematicsEasy
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QJEE 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 MainMathematicsEasy
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QJEE 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 MainMathematicsMedium
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QJEE 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 MainMathematicsMedium
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QJEE MAIN 2021
The mean of 10 numbers
$$
7 \times 8,10 \times 10,13 \times 12,16 \times 14, \ldots . \text { is }
$$
JEE MainMathematicsEasy
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QJEE 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 MainMathematicsMedium
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QJEE 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 MainMathematicsEasy
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QJEE 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 MainPhysicsMedium
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QJEE 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 $\_\_\_\_$...
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