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
Previous year's question papers play a crucial role in JEE Main preparation. By practising them, you can better understand the exam pattern and the type of questions that might appear in JEE Mains 2025. Reviewing past papers will help you become familiar with the format and difficulty level, enhancing your readiness for the upcoming exam. Make sure to check the previous year’s question papers here for valuable practice material.
