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JEE MAIN 2025
23-01-2025 SHIFT-2
Question
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Select the correct option:
A
Statement I is false but Statement II is true
B
Both Statement I and Statement II are true
C
Statement I is true but Statement II is false
D
Both Statement I and Statement II are false
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
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Chemistry
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Showing 18 questions
Q JEE MAIN 20262026
Given below are two statements
Statement I: $\mathrm{H}_2 \mathrm{O}$ molecules move from the chamber 1 to chamber 2 .
Statement II:...
JEE MainChemistryMedium
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QJEE MAIN 20232023
Let $A, B, C$ be $3 \times 3$ matrices such that $A$ is symmetric and $B$ and $C$ are skew-symmetric....
JEE MainMathematicsEasy
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QJEE MAIN 20232023
Let $f: R \rightarrow R$ be a function defined by $f(x)=\log _{\sqrt{m}}\{\sqrt{2}(\sin x-\cos x)+m-2\}$, for some $m$, such that the...
JEE MainMathematicsEasy
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QJEE MAIN 20232023
The equations of two sides of a variable triangle are $x=0$ and $y=3$, and its third side is a tangent...
JEE MainMathematicsEasy
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QJEE MAIN 20232023
The number of functions $f:\{1,2,3,4\} \rightarrow\{a \in Z:|a| \leq 8\}$ satisfying $f(n)+\frac{1}{n} f(n+1)=1, \forall n \in\{1,2,3\}$ is
JEE MainMathematicsEasy
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QJEE MAIN 20232023
The number of numbers, strictly between 5000 and 10000 can be formed using the digits 1, 3, 5, 7, 9...
JEE MainMathematicsEasy
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QJEE MAIN 20232023
\text { Let } \Delta, \nabla \in\{\wedge, \vee\} \text { be such that }(p \rightarrow q) \Delta(p \nabla q) \text...
JEE MainMathematicsEasy
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QJEE MAIN 20232023
Let $A=\left[\begin{array}{cc}\frac{1}{\sqrt{10}} & \frac{3}{\sqrt{10}} \\ \frac{-3}{\sqrt{10}} & \frac{1}{\sqrt{10}}\end{array}\right]$ and $B=\left[\begin{array}{cc}1 & -i \\ 0 & 1\end{array}\right]$, where $i=\sqrt{-1}$. If $...
JEE MainMathematicsEasy
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QJEE MAIN 20232023
If the four points, whose position vectors are $3 \hat{i}-4 \hat{j}+2 \hat{k}, \hat{i}+2 \hat{j}-\hat{k},-2 \hat{i}-\hat{j}+3 \hat{k}$ and $...
JEE MainMathematicsEasy
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QJEE MAIN 20232023
Let $f(x)=2 x^n+\lambda, \lambda \in R, n \in N$, and $f(4)=133, f(5)=255$. Then the sum of all the positive integer...
JEE MainMathematicsEasy
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QJEE MAIN 20212021
Reaction of Grignard reagent, $\mathrm{C}_2 \mathrm{H}_5 \mathrm{MgBr}$ with $\mathrm{C}_8 \mathrm{H}_8 \mathrm{O}$ followed by hydrolysis gives compound " A " which...
JEE MainChemistryEasy
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QJEE MAIN 20262026
\text { If } \alpha=\int_0^{2 \sqrt{3}} \log _2\left(x^2+4\right) \mathrm{d} x+\int_2^4 \sqrt{2^x-4} \mathrm{~d} x \text {, then } \alpha^2 \text {...
JEE MainMathematicsMedium
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QJEE MAIN 20262026
Let a circle C have its centre in the first quadrant, intersect the coordinate axes at exactly three points and...
JEE MainMathematicsMedium
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QJEE MAIN 20262026
Let $\mathrm{a}, \mathrm{b}, \mathrm{c} \in\{1,2,3,4\}$. If the probability, that $\mathrm{a} x^2+2 \sqrt{2} \mathrm{~b} x+\mathrm{c}>0$ for all $x \in \mathbf{R}$, is...
JEE MainMathematicsEasy
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QJEE MAIN 20262026
If $\sum_{k=1}^n a_k=6 n^3$, then $\sum_{k=1}^6\left(\frac{a_{k+1}-a_k}{36}\right)^2$ is equal to $\_\_\_\_$ .
JEE MainMathematicsEasy
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QJEE MAIN 20262026
If the domain of the function $f(x)=\sqrt{\log _{(0.6)}\left(\left|\frac{2 x-5}{x^2-4}\right|\right)}$ is $(-\infty, a] \cup\{b\} \cup[c, d) \cup(e, \infty)$, then the value...
JEE MainMathematicsMedium
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QJEE MAIN 20262026
Let $y=y(x)$ be the solution curve of the differential equation $(1+\sin x) \frac{\mathrm{d} y}{\mathrm{~d} x}+(y+1) \cos x=0, y(0)=0$. If the...
JEE MainMathematicsEasy
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QJEE MAIN 20262026
\text { Let }[\cdot] \text { denote the greatest integer function. Then the value of } \int_0^3\left(\frac{\mathrm{e}^x+\mathrm{e}^{-x}}{[x]!}\right) \mathrm{d} x
JEE MainMathematicsMedium
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