AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
Assertion: Hard water consumes more
soap. Reason: The ion responsible for cleansing action is precipitated out by
\( C a^{2+} \) or \( M g^{2+} \) ion.
A. Assertion is correct but Reason is wrong.
B. Assertion is correct but Reason is right
c. Both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
D. Both Assertion and Reason are correct but Reason is not the correct explanation of Assertion.
Subject: Maths
In a third order determinant, each
element of the first column consists of
sum of two terms, each element of the second column consists of sum of three
terms and each element of the
third column consists of sum of four
terms. Then it can be decomposed into n determinants, where n has the value
\( \mathbf{A} \cdot \mathbf{1} \)
B. 9
c. 16
D. 24
Subject: Maths
If \( \int e^{2 x} f^{\prime}(x) d x=g(x) \), then
\( \int_{\text {A }}\left(e^{2 x} f(x)+e^{2 x} f^{\prime}(x)\right) d x \)
\( \quad \frac{1}{2}\left[e^{2 x} f(x)-g(x)\right]+C \)
B \( \cdot \frac{1}{2}\left[e^{2 x} f(x)+g(x)\right]+C \)
c. \( \frac{1}{2}\left[e^{2 x} f(2 x)+g(x)\right]+C \)
D. \( \frac{1}{2}\left[e^{2 x} f^{\prime}(x)-g(x)\right]+C \)
Subject: Physics
A simple harmonic motion has an amplitude \( A \) and time period \( T . \) Find the time required by it to travel directly from \( \boldsymbol{x}=-\frac{\boldsymbol{A}}{\sqrt{\mathbf{2}}}, \) to \( \boldsymbol{x}=\frac{\boldsymbol{A}}{\sqrt{\mathbf{2}}} \)
Subject: Biology
Assertion
Enzymes lower down the activation energy of the reactant molecule to
make its transition into product easier
Reason

Enzymes are highly substrate specific catalysts.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect
Subject: Maths
Let \( \bar{x}, M \) and \( \sigma^{2} \) be respectively the
mean mode and variance of \( n \)
observations \( \boldsymbol{x}_{1}, \boldsymbol{x}_{2}, \ldots . ., \boldsymbol{x}_{\boldsymbol{n}} \) and \( \boldsymbol{d}_{\boldsymbol{i}}= \)
\( -\boldsymbol{x}_{1}-\boldsymbol{a}, \boldsymbol{i}=1,2, \ldots . ., \boldsymbol{n}, \) where a is any
number.
Statement I : Variance of \( \boldsymbol{d}_{1}, \boldsymbol{d}_{1}, \ldots . ., \boldsymbol{d}_{n} \) is
\( \sigma^{2} \)
Statement II : Mean and mode of
\( \boldsymbol{d}_{1}, \boldsymbol{d}_{2}, \dots, \boldsymbol{d}_{n} \) are \( -\overline{\boldsymbol{x}}-\boldsymbol{a} \) and \( -\boldsymbol{M}-\boldsymbol{a} \)
respectively
A. Statement I and Statement II are both false
B. Statement I and Statement II are both true
c. Statement I is true and Statement II is false
D. Statement I is false and Statement II is true
Subject: Chemistry
Which of the following is the correct
statement for the molecule, \( \boldsymbol{C} \boldsymbol{s} \boldsymbol{I}_{3} ? \)
A. It is a covalent molecule
B. It contains \( C s^{+} \) and \( I_{3}^{-} \)
c. It contains \( C s^{3+} \) and \( I^{-} \)
D. It contains \( C s^{+}, I_{3}^{-} \) and lattice \( I_{2} \) molecule
Subject: Physics
The ratio of molecular mass of two
radioactive substances is \( 3 / 2 \) and the ratio of their decay constant is \( 4 / 3 \) Then, the ratio of their initial activity per mole will be
A . 2
в. \( \frac{8}{9} \)
\( c \cdot \frac{4}{3} \)
D. \( \frac{9}{8} \)
Subject: Chemistry
The quantum numbers of most energetic electron in Ar atom when it is in first excited state is:
A \( \cdot_{2,1,0, \pm} \frac{1}{2} \)
в. \( _{4,1,1, \pm} \frac{1}{2} \)
c. \( _{4,0,0, \pm} \frac{1}{2} \)
D. \( _{4,1,0, \pm} \frac{1}{2} \)
Subject: Maths
Solve \( : \frac{2}{x}+\frac{2}{3 y}=\frac{1}{6} \) and \( \frac{3}{x}+\frac{2}{y}=0 \)
Hence, find ' \( m^{\prime} \) for which \( y=m x-4 \)
A \( . x=3 ; y=-5 \) and \( m=2 \)
B. \( x=6 ; y=-4 \) and \( m=0 \)
c. \( x=2 ; y=-3 \) and \( m=0 \)
D. \( x=4 ; y=-4 \) and \( m=2 \)
Subject: Chemistry
The smog is essentially caused by the
presence of
\( \mathbf{A} \cdot \mathrm{O}_{2} \) and \( \mathrm{O}_{3} \)
B. \( O_{3} \) and \( N_{2} \)
C. Oxides of sulphur and nitrogen
\( D \cdot O_{2} \) and \( N_{2} \)
Subject: Chemistry
(i) Write down the IUPAC name of the
following complex:
\( \left[\boldsymbol{C r}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)_{2} \boldsymbol{C l}_{2}(\boldsymbol{e n})\right] \boldsymbol{C l} \)
(en=ethylenediamine)
(ii) Write the formula for the following complex:
Pentaamminentrito-o-cobalt (III)
Subject: Maths
A geometric sequence can be written as
A \( \cdot a r, a r^{2}, a r^{4}, a r^{6} \dots a r^{n} \)
B . \( a, a r^{2}, a r^{3}, a r^{4} \ldots a r^{n} \)
C. \( a, a r, a r^{1}, a r^{3}, a r^{4} \dots a r^{n} \)
D. \( a, a r, a r^{2}, a r^{3}, a r^{4} \dots a r^{n} \)
Subject: Physics
Work done in splitting a drop of water of
1 mm radius into 64 droplets is
(surface tension of water \( 72 \times \)
\( \left.10^{-3} J / m^{2}\right) \)
A . \( 2.0 \times 10^{-6} J \)
в. \( 2.4 \times 10^{-6} J \)
C \( .4 \times 10^{-6} J \)
D. \( 5.4 \times 10^{-6} J \)
Subject: Chemistry
\( \boldsymbol{R} \boldsymbol{X}+\boldsymbol{2} \boldsymbol{N} \boldsymbol{a}+\boldsymbol{X} \boldsymbol{R} \rightarrow \boldsymbol{R}-\boldsymbol{R}+\boldsymbol{2} \boldsymbol{N} \boldsymbol{a} \boldsymbol{X} \)
Role of Na and name of the reaction
mentioned above is:
A. Reducing agent and Kolbe's reaction
B. Oxidising agent and Wurtz reaction
c. Reducing agent and Wurtz reaction
D. Oxidising agent and Kolbe's reaction
Subject: Physics
A convex lens of focal length \( ^{\prime} f^{\prime} \) cut into
parts first horizontally and then
vertically. Find the focal length of part \( \mathbf{A} \)
of the lens, as shown
A \( . f / 2 \)
B. \( f \)
c. \( 4 f \)
D. \( 2 f \)
Subject: Physics
A pair of stationary and infinitely long bent wires is placed in the \( x \) -y plane as shown in figure. Each wire carries
current of \( 10 A . \) Segments \( L \) and \( M \) are
along the x-axis.Segments \( P \) and \( Q \) are
parallel to the y-axis such that \( O S= \)
\( O R=0.02 m . \) Find the magnitude and
direction of the magnetic induction at
origin \( O \) in the form of \( x \times 10^{-4} \). What
is \( x \)
Subject: Physics
The energy of electron in the ground state of hydrogen atom is \( -13.6 \mathrm{eV} \). The energy required for the transition from
\( \boldsymbol{n}=\mathbf{2} \) to \( \boldsymbol{n}=\mathbf{3} \) will be
A \( .2 e V \)
в. \( 4 e V \)
c. \( 1.89 e V \)
D. \( 2.89 e V \)