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JEE Main 2025 (24 Jan Shift 1)
JEE Main 2025 (24 Jan Shift 1)
70 Questions •
75 Minutes •
2025
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Q41
The carbohydrate 'Ribose' present in DNA, is A. A pentose sugar B. present in pyranose from C. in 'D' configuration D. a reducing sugar, when free E. in $\alpha$-anomeric form. Choose the correct answer from the options given below:
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Q42
Which of the following arrangements with respect to their reactivity in nucleophilic addition reaction is correct?
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Q43
Let us consider an endothermic reaction which is non-spontaneous at the freezing point of water. However, the reaction is spontaneous at boiling point of water. Choose the correct option.
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Q44
Preparation of potassium permanganate from $\text{MnO}_2$ involves two step process in which the 1st step is a reaction with KOH and $\text{KNO}_3$ to produce
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Q45
For a reaction, $\text{N}_2\text{O}_{5(g)}\to2\text{NO}_{2(g)}+\frac12\text{O}_{2(g)}$ in a constant volume container, no products were present initially. The final pressure of the system when $50\%$ of reaction gets completed is
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Q46
One mole of the octahedral complex compound $\text{Co(NH}_3)_5\text{Cl}_3$ gives 3 moles of ions on dissolution in water. One mole of the same complex reacts with excess of $\text{AgNO}_3$ solution to yield two moles of $\text{AgCl}_{(s)}$. The structure of the complex is:
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Q47
Which of the following ions is the strongest oxidizing agent? (Atomic Number of Ce = 58, Eu = 63, Tb = 65, Lu = 71)
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Q48
$K_{sp}$ for $\text{Cr(OH)}_3$ is $1.6\times10^{-30}$. What is the molar solubility of this salt in water?
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Q49
Which of the following statements are NOT true about the periodic table? A. The properties of elements are function of atomic weights. B. The properties of elements are function of atomic numbers. C. Elements having similar outer electronic configurations are arranged in same period. D. An element's location reflects the quantum numbers of the last filled orbital. E. The number of elements in a period is same as the number of atomic orbitals available in energy level that is being filled. Choose the correct answer from the options given below:
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Q50
Given below are two statements I and II. Statement I: Dumas method is used for estimation of 'Nitrogen' in an organic compound. Statement II: Dumas method involves the formation of ammonium sulphate by heating the organic compound with conc $\text{H}_2\text{SO}_4$. In the light of the above statements, choose the correct answer from the options given below
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Q51
Which of the following statement is true with respect to $\text{H}_2\text{O},\text{NH}_3$ and $\text{CH}_4$? A. The central atoms of all the molecules are $sp^3$ hybridized. B. The $\text{H-O-H},\text{H-N-H}$ and $\text{H-C-H}$ angles in the above molecules are $104.5^\circ,107.5^\circ$ and $109.5^\circ$, respectively. C. The increasing order of dipole moment is $\text{CH}_4<\text{NH}_3<\text{H}_2\text{O}$. D. Both $\text{H}_2\text{O}$ and $\text{NH}_3$ are Lewis acids and $\text{CH}_4$ is a Lewis base. E. A solution of $\text{NH}_3$ in $\text{H}_2\text{O}$ is basic. In this solution $\text{NH}_3$ and $\text{H}_2\text{O}$ act as Lowry-Bronsted acid and base respectively. Choose the correct answer from the options given below:
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Q52
Which one of the carbocations from the following is most stable?
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Q53
For the given cell $\text{Fe}^{2+}_{(aq)}+\text{Ag}^+_{(aq)}\to\text{Fe}^{3+}_{(aq)}+\text{Ag}_{(s)}$ The standard cell potential of the reaction is. Given: $\text{Ag}^++e^-\to\text{Ag}$ $E^\theta=xV$; $\text{Fe}^{2+}+2e^-\to\text{Fe}$ $E^\theta=yV$; $\text{Fe}^{3+}+3e^-\to\text{Fe}$ $E^\theta=zV$
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Q54
The large difference between the melting and boiling points of oxygen and sulphur may be explained on the basis of
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Q55
Consider the given plots of vapour pressure (VP) vs temperature (T/K). Which amongst the following options is correct graphical representation showing $\Delta T_f$, depression in the freezing point of a solvent in a solution?
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Q56
Which of the following linear combination of atomic orbitals will lead to formation of molecular orbitals in homonuclear diatomic molecules [internuclear axis in $z$-direction]? A. $2p_z$ and $2p_x$ B. $2s$ and $2p_x$ C. $3d_{xy}$ and $3d_{x^2-y^2}$ D. $2s$ and $2p_z$ E. $2p_z$ and $3d_{x^2-y^2}$ Choose the correct answer from the options given below:
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Q57
Let $S=\{p_1,p_2,\dots,p_{10}\}$ be the set of first ten prime numbers. Let $A=S\cup P$, where $P$ is the set of all possible products of distinct elements of $S$. Then the number of all ordered pairs $(x,y)$, $x\in S$, $y\in A$, such that $x$ divides $y$, is ______.
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Q58
If for some $\alpha,\beta;\ \alpha\le\beta,\ \alpha+\beta=8$ and $\sec^2(\tan^{-1}\alpha)+\operatorname{cosec}^2(\cot^{-1}\beta)=36$, then $\alpha^2+\beta$ is ______.
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Q59
Let $A$ be a $3\times3$ matrix such that $X^TAX=O$ for all nonzero $3\times1$ matrices $X=\begin{bmatrix}x\\y\\z\end{bmatrix}$. If $A\begin{bmatrix}1\\1\\1\end{bmatrix}=\begin{bmatrix}1\\4\\-5\end{bmatrix}$, $A\begin{bmatrix}1\\2\\1\end{bmatrix}=\begin{bmatrix}0\\4\\-8\end{bmatrix}$, and $\det(\operatorname{adj}(2(A+I)))=2^\alpha3^\beta5^\gamma$, $\alpha,\beta,\gamma\in N$, then $\alpha^2+\beta^2+\gamma^2$ is ______.
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Q60
Let $f$ be a differentiable function such that $2(x+2)^2f(x)-3(x+2)^2=10\int_0^x(t+2)f(t)\,dt,\ x\ge0$. Then $f(2)$ is equal to ______.
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Paper Info
Exam:
JEE
Year:
2025
Questions:
70
Duration:
75 mins
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