JEE MAINS PRACTICE · Mathematics
Basic of Mathematics
155 practice questions for JEE Mains Practice — 83 easy · 70 medium · 2 hard. Every question is graded instantly with a step-by-step solution when you miss it.
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MCQ
The GCD of 364 and 462 is
MCQ
If $3^x+2^{2 x} \geq 5^x$, then the solution set for $x$ is
MCQ
If $x=\frac{2 \sqrt{2}-\sqrt{7}}{2 \sqrt{2}+\sqrt{7}}$, then $x+x^{-1}$ is equal to
MCQ
$\left|\frac{x}{2}-1\right| \lt 3$ implies that $x$ lies in the interval
MCQ
If $a \lt b$, then $a \lt \frac{a+b}{2} \lt \ldots$.
MCQ
$\frac{3 \sqrt{2}}{\sqrt{6}+\sqrt{3}}-\frac{4 \sqrt{3}}{\sqrt{6}+\sqrt{2}}+\frac{\sqrt{6}}{\sqrt{3}+\sqrt{2}}$ is equal to
MCQ
If $x=\frac{\sqrt{5}+\sqrt{2}}{\sqrt{5}-\sqrt{2}}, y=\frac{\sqrt{5}-\sqrt{2}}{\sqrt{5}+\sqrt{2}}$, then $3 x^2+4 x y-3 y^2$ is equal to
MCQ
If $9^{-x}=\frac{1}{27 \sqrt{27}}=(81)^{-y}$, then $(x, y)$ is equal to
MCQ
$\frac{5^{\frac{3}{2}}-2^{\frac{3}{2}}}{\sqrt{5}-\sqrt{2}}+\frac{5^{\frac{3}{2}}+2^{\frac{3}{2}}}{\sqrt{5}+\sqrt{2}}$
MCQ
The square root of $\sqrt{50}+\sqrt{48}$ is
MCQ
If $x^{4 / 3}+x^{-1 / 3}=1, x^5+3 x^2-x$ is equal to
MCQ
The number of integral solution of $\frac{x+1}{x^2+2}\gt\frac{1}{4}$ is