JEE Mains 2025 January 23 Shift 1 Question Paper with Solution ( Memory Based Questions)
The following comprises of memory based questions from JEE Main 23 Jan Shift 1 Exam:
Q.1 Which of the following element doesn't lie on same period
(a) Osmium
(b) Iridium
(c) Palladium
(d) Platinum
Q.2
Which of the following pair of ions are same coloured?
$
\begin{aligned}
& 1 \mathrm{Ti}^{4+}, \mathrm{V}^{3+} \\
& 2 \mathrm{Cr}^{2+}, \mathrm{Cu}^{2+} \\
& 3 \mathrm{Cr}^{3+}, \mathrm{Ni}^{2+} \\
& 4 \mathrm{Mn}^{3+}, \mathrm{Fe}^{2+}
\end{aligned}
$
Q.3 Which of the following react with Hinsberg reagent?
(A) Aniline
(B) $\mathrm{N}, \mathrm{N}$-Dimethyl aniline
(C) Methyl amine
(D) $\mathrm{C}_6 \mathrm{H}_5 \mathrm{NHC}_6 \mathrm{H}_5$
. A only
. A and C only
. $A, C$ and $D$
. A and B only
Q.4
$
\mathrm{CH}_3 \mathrm{CH}_2 \mathrm{CH}=0 \xrightarrow[\text { Excess }]{\mathrm{HCHO}}[\mathrm{~A}]
$
Major product $[A]$ will be:
Q.5
Statement 1: Fructose can give tollens test even though it does not have aldehyde group
Statement 2: When reacted with base fructose can undergo rearrangement to produce aldehyde group
(1) If both Statement 1 and Statement 2 are true and the Statement 2 is the correct explanation of the assertion.
(2) If both Statement 1 and Statement 2 are true but Statement $\mathbf{2}$ is not the correct explanation of the assertion.
(3) If Statement 1 is true but Statement 2 is false.
(4) If the Statement 1 and Statement 2 both are false.
Q.6
Q)If for an arithmetic progression, if first term is $\mathbf{3}$ and sum of first four terms is equal to $\frac{1}{5}$ of the sum of next four terms, then the sum of first 20 terms is
(A) 1080
(B) 364
(C) $\mathbf{- 1 0 8 0}$
(D) -364
Q.7
If for the system of linear equations having infinite solutions
$
\begin{aligned}
& (\lambda-4) x+(\lambda-2) y+\lambda z=0 \\
& 2 x+3 y+5 z=0 \\
& x+2 y+6 z=0
\end{aligned}
$
then $\lambda^2+\lambda$ is
Q.8 Find the value of $\sin 70^{\circ}\left(\cot 10^{\circ} \cot 70^{\circ}-1\right)$
Q.9
The displacement of a particle as function of time is $x(t)=A(\sin )+B \cos ^2(t)+c t^2+D$. Find dimension of $\left(\frac{A B C}{D}\right)$
(A) $\mathrm{L}^2$
(B) $\mathrm{L}^{2 \mathrm{~T}} \mathrm{~T}^{-2}$
C $\mathrm{Lt}{ }^{-2}$
(D) $\mathrm{L}^3 \mathrm{~T}$
Q.10.Stat 1: hotter moves faster than cold water.
Stat 2: soap water have higher surface tension than fresh water
Q.11. Value of $\cos ^{-1}\left[\frac{12}{13} \cos x+\frac{5}{13} \sin x\right]$ is
$
\left(x \in\left[\frac{\pi}{2}, \pi\right]\right)
$
$1 \quad x+\tan ^{-1} \frac{12}{13}$
$2 x-\tan ^{-1} \frac{12}{13}$
$3 \quad x-\tan ^{-1} \frac{5}{12}$
$4 \quad x+\tan ^{-1}\left(\frac{4}{5}\right)$
Q.12 If angles of projection for two projectiles are $30^{\circ}$ and $60^{\circ}$ then the ratio of velocities at maximum height is.
Q.13 If $10^{21}$ molecules are removed from $\times \mathrm{mg}$ of $\mathrm{CO}_2(\mathrm{~g})$, then $2.4 \times 10^{-3}$ moles are left. Calculate the value of $x$
Q.14 Area of the larger region bounded by curves $y=|x-1|$ and $x^2+y^2=25$ is
Q.15
If $f(x)$ is continuous at $x=0$, where
$
f(x)=\left\{\begin{array}{cl}
\frac{2}{x}\left(\sin \left(k_1+1\right) x+\sin \left(k_2+1\right) x\right) & x<0 \\
\frac{4}{x} \log \left[\frac{k_2 x+1}{k_1 x+1}\right] & x=0 \\
& x>0
\end{array}\right.
$
Then $k_1^2+k_2^2$ is
Q.16 $q_1=3 \quad S_4=\frac{1}{4}\left(S_8-S_4\right)$ find $S_2=$ ?
Q.17 which of the following Can show face-mer Isomes
a) $\mathrm{Co}\left[(\mathrm{en})_2 \mathrm{Cl}_2\right]$
b) $\left[\mathrm{Co}\left(\mathrm{NH}_3\right)_4 \mathrm{Cl}_2\right]$
c) $\left[\mathrm{Co}\left(\mathrm{H}_2 \mathrm{O}\right)_6\right]_1 \mathrm{X}$
d) $\left[\mathrm{Co}\left(\mathrm{NH}_3\right)_3 \mathrm{Cl}_3\right]$



Previous Years Question Paper
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