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QJEE Main 2021
Let $a_1, a_2, a 3, \ldots$ be an A.P. If $\frac{a_1+a_2+\ldots+a_{10}}{a_1+a_2+\ldots+a_p}=\frac{100}{p^2}, p \neq 10$, then $\frac{a_{11}}{a_{10}}$ is equal to :
JEE MainMathematicsEasy
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QJEE MAIN 2021
When 5.1 g of solid $\mathrm{NH}_4 \mathrm{HS}$ is introduced into a two litre evacuated flask at $27^{\circ} \mathrm{C}, 20 \%$ of the solid decomposes into...
JEE MainChemistryMedium
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QJEE MAIN 2021
The integral $\int \frac{1}{\sqrt[4]{(x-1)^3(x+2)^5}} d x$ is equal to :
JEE MainMathematicsEasy
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QJEE Main 2021
If $z$ is a complex number such that $\frac{z-1}{z-1}$ is purely imaginary, then the minimum value of $|z-(3+3 i)|$ is :
JEE MainMathematicsMedium
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QJEE MAIN 2021
The number of photons emitted by a monochromatic (single frequency) infrared range finder of power 1 mW and wavelength of 1000 nm , in 0.1...
JEE MainChemistryEasy
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QJEE MAIN 2019
A uniform cable of mass ‘M’ and length ‘L’ is placed on a horizontal surface such that its $\left(\frac{1}{n}\right)^{t h}$ part is hanging below the...
JEE MainPhysicsMedium
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QJEE MAIN 2021
The resistance of a conductivity cell with cell constant $1.14 \mathrm{~cm}^{-1}$, containing 0.001 M KCl at 298 K is $1500 \Omega$. The molar conductivity of...
JEE MainChemistryEasy
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QJEE Main 2021
\text { The sum of the roots of the equation } x+1-2 \log _2\left(3+2^x\right)+2 \log _4\left(10-2^{-x}\right)=0 \text {, is: }
JEE MainMathematicsMedium
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QJEE MAIN 2021
40 g of glucose (Molar mass $=180$ ) is mixed with 200 mL of water. The freezing point of solution is $\_\_\_\_$ K. (Nearest integer)...
JEE MainChemistryEasy
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QJEE MAIN 2021
Which of the following is not correct for relation R on the set of real numbers ?
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