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phy | JEE Adv 2016 Paper 1 | B | 1 | MCQ | In a historical experiment to determine Planck's constant, a metal surface was irradiated with light of different wavelengths. The emitted photoelectron energies were measured by applying a stopping potential. The relevant data for the wavelength $(\lambda)$ of incident light and the corresponding stopping potential $\... | English | en | english_source |
phy | JEE Adv 2016 Paper 1 | D | 2 | MCQ | A uniform wooden stick of mass $1.6 \mathrm{~kg}$ and length $l$ rests in an inclined manner on a smooth, vertical wall of height $h(<l)$ such that a small portion of the stick extends beyond the wall. The reaction force of the wall on the stick is perpendicular to the stick. The stick makes an angle of $30^{\circ}$ wi... | English | en | english_source |
phy | JEE Adv 2016 Paper 1 | ABD | 6 | MCQ(multiple) | Highly excited states for hydrogen-like atoms (also called Rydberg states) with nuclear charge $Z e$ are defined by their principal quantum number $n$, where $n \gg 1$. Which of the following statement(s) is(are) true?
(A) Relative change in the radii of two consecutive orbitals does not depend on $Z$
(B) Relative ch... | English | en | english_source |
phy | JEE Adv 2016 Paper 1 | CD | 8 | MCQ(multiple) | An incandescent bulb has a thin filament of tungsten that is heated to high temperature by passing an electric current. The hot filament emits black-body radiation. The filament is observed to break up at random locations after a sufficiently long time of operation due to non-uniform evaporation of tungsten from the fi... | English | en | english_source |
phy | JEE Adv 2016 Paper 1 | AD | 9 | MCQ(multiple) | A plano-convex lens is made of a material of refractive index $n$. When a small object is placed $30 \mathrm{~cm}$ away in front of the curved surface of the lens, an image of double the size of the object is produced. Due to reflection from the convex surface of the lens, another faint image is observed at a distance ... | English | en | english_source |
phy | JEE Adv 2016 Paper 1 | BD | 10 | MCQ(multiple) | A length-scale $(l)$ depends on the permittivity $(\varepsilon)$ of a dielectric material, Boltzmann constant $\left(k_{B}\right)$, the absolute temperature $(T)$, the number per unit volume $(n)$ of certain charged particles, and the charge $(q)$ carried by each of the particles. Which of the following expression(s) f... | English | en | english_source |
phy | JEE Adv 2016 Paper 1 | ABD | 12 | MCQ(multiple) | The position vector $\vec{r}$ of a particle of mass $m$ is given by the following equation
\[
\vec{r}(t)=\alpha t^{3} \hat{i}+\beta t^{2} \hat{j}
\]
where $\alpha=10 / 3 \mathrm{~m} \mathrm{~s}^{-3}, \beta=5 \mathrm{~m} \mathrm{~s}^{-2}$ and $m=0.1 \mathrm{~kg}$. At $t=1 \mathrm{~s}$, which of the following statement... | English | en | english_source |
phy | JEE Adv 2016 Paper 1 | 9 | 14 | Integer | A metal is heated in a furnace where a sensor is kept above the metal surface to read the power radiated $(P)$ by the metal. The sensor has a scale that displays $\log _{2}\left(P / P_{0}\right)$, where $P_{0}$ is a constant. When the metal surface is at a temperature of $487^{\circ} \mathrm{C}$, the sensor shows a val... | English | en | english_source |
phy | JEE Adv 2016 Paper 1 | 9 | 15 | Integer | The isotope ${ }_{5}^{12} \mathrm{~B}$ having a mass 12.014 u undergoes $\beta$-decay to ${ }_{6}^{12} \mathrm{C}$. ${ }_{6}^{12} \mathrm{C}$ has an excited state of the nucleus $\left({ }_{6}^{12} \mathrm{C}^{*}\right)$ at $4.041 \mathrm{MeV}$ above its ground state. If ${ }_{5}^{12} \mathrm{~B}$ decays to ${ }_{6}^{1... | English | en | english_source |
phy | JEE Adv 2016 Paper 1 | 6 | 16 | Integer | A hydrogen atom in its ground state is irradiated by light of wavelength 970 A. Taking $h c / e=1.237 \times 10^{-6} \mathrm{eV} \mathrm{m}$ and the ground state energy of hydrogen atom as $-13.6 \mathrm{eV}$, what is the number of lines present in the emission spectrum? | English | en | english_source |
phy | JEE Adv 2016 Paper 1 | 3 | 17 | Integer | Consider two solid spheres $\mathrm{P}$ and $\mathrm{Q}$ each of density $8 \mathrm{gm} \mathrm{cm}^{-3}$ and diameters $1 \mathrm{~cm}$ and $0.5 \mathrm{~cm}$, respectively. Sphere $P$ is dropped into a liquid of density $0.8 \mathrm{gm} \mathrm{cm}^{-3}$ and viscosity $\eta=3$ poiseulles. Sphere $Q$ is dropped into a... | English | en | english_source |
phy | JEE Adv 2016 Paper 1 | 8 | 18 | Integer | Two inductors $L_{1}$ (inductance $1 \mathrm{mH}$, internal resistance $3 \Omega$ ) and $L_{2}$ (inductance $2 \mathrm{mH}$, internal resistance $4 \Omega$ ), and a resistor $R$ (resistance $12 \Omega$ ) are all connected in parallel across a $5 \mathrm{~V}$ battery. The circuit is switched on at time $t=0$. What is th... | English | en | english_source |
chem | JEE Adv 2016 Paper 1 | C | 20 | MCQ | One mole of an ideal gas at $300 \mathrm{~K}$ in thermal contact with surroundings expands isothermally from $1.0 \mathrm{~L}$ to $2.0 \mathrm{~L}$ against a constant pressure of $3.0 \mathrm{~atm}$. In this process, the change in entropy of surroundings $\left(\Delta S_{\text {surr }}\right)$ in $\mathrm{J} \mathrm{K}... | English | en | english_source |
chem | JEE Adv 2016 Paper 1 | B | 21 | MCQ | The increasing order of atomic radii of the following Group 13 elements is
(A) $\mathrm{Al}<\mathrm{Ga}<\mathrm{In}<\mathrm{Tl}$
(B) $\mathrm{Ga}<\mathrm{Al}<\mathrm{In}<\mathrm{Tl}$
(C) $\mathrm{Al}<\mathrm{In}<\mathrm{Ga}<\mathrm{Tl}$
(D) $\mathrm{Al}<\mathrm{Ga}<\mathrm{Tl}<\mathrm{In}$ | English | en | english_source |
chem | JEE Adv 2016 Paper 1 | B | 22 | MCQ | Among $[\mathrm{Ni(CO)}_{4}]$, $[\mathrm{NiCl}_{4}]^{2-}$, $[\mathrm{Co(NH_3)_{4}Cl_2}]\mathrm{Cl}$, $\mathrm{Na_3}[\mathrm{CoF_6}]$, $\mathrm{Na_2O_2}$ and $\mathrm{CsO_2}$ number of paramagnetic compounds is
(A) 2
(B) 3
(C) 4
(D) 5 | English | en | english_source |
chem | JEE Adv 2016 Paper 1 | A | 23 | MCQ | On complete hydrogenation, natural rubber produces
(A) ethylene-propylene copolymer
(B) vulcanised rubber
(C) polypropylene
(D) polybutylene | English | en | english_source |
chem | JEE Adv 2016 Paper 1 | BCD | 24 | MCQ(multiple) | According to the Arrhenius equation,
(A) a high activation energy usually implies a fast reaction.
(B) rate constant increases with increase in temperature. This is due to a greater number of collisions whose energy exceeds the activation energy. (C) higher the magnitude of activation energy, stronger is the temperat... | English | en | english_source |
chem | JEE Adv 2016 Paper 1 | BD | 25 | MCQ(multiple) | A plot of the number of neutrons $(N)$ against the number of protons $(P)$ of stable nuclei exhibits upward deviation from linearity for atomic number, $Z>20$. For an unstable nucleus having $N / P$ ratio less than 1 , the possible mode(s) of decay is(are)
(A) $\beta^{-}$-decay $(\beta$ emission)
(B) orbital or $K$-e... | English | en | english_source |
chem | JEE Adv 2016 Paper 1 | ACD | 26 | MCQ(multiple) | The crystalline form of borax has
(A) tetranuclear $\left[\mathrm{B}_{4} \mathrm{O}_{5}(\mathrm{OH})_{4}\right]^{2-}$ unit
(B) all boron atoms in the same plane
(C) equal number of $s p^{2}$ and $s p^{3}$ hybridized boron atoms
(D) one terminal hydroxide per boron atom | English | en | english_source |
chem | JEE Adv 2016 Paper 1 | BC | 27 | MCQ(multiple) | The compound(s) with TWO lone pairs of electrons on the central atom is(are)
(A) $\mathrm{BrF}_{5}$
(B) $\mathrm{ClF}_{3}$
(C) $\mathrm{XeF}_{4}$
(D) $\mathrm{SF}_{4}$ | English | en | english_source |
chem | JEE Adv 2016 Paper 1 | A | 28 | MCQ(multiple) | The reagent(s) that can selectively precipitate $\mathrm{S}^{2-}$ from a mixture of $\mathrm{S}^{2-}$ and $\mathrm{SO}_{4}^{2-}$ in aqueous solution is(are)
(A) $\mathrm{CuCl}_{2}$
(B) $\mathrm{BaCl}_{2}$
(C) $\mathrm{Pb}\left(\mathrm{OOCCH}_{3}\right)_{2}$
(D) $\mathrm{Na}_{2}\left[\mathrm{Fe}(\mathrm{CN})_{5} \ma... | English | en | english_source |
chem | JEE Adv 2016 Paper 1 | 9 | 32 | Integer | The mole fraction of a solute in a solution is 0.1 . At $298 \mathrm{~K}$, molarity of this solution is the same as its molality. Density of this solution at $298 \mathrm{~K}$ is $2.0 \mathrm{~g} \mathrm{~cm}^{-3}$. What is the ratio of the molecular weights of the solute and solvent, $\left(\frac{M W_{\text {solute }}... | English | en | english_source |
chem | JEE Adv 2016 Paper 1 | 4 | 33 | Integer | The diffusion coefficient of an ideal gas is proportional to its mean free path and mean speed. The absolute temperature of an ideal gas is increased 4 times and its pressure is increased 2 times. As a result, the diffusion coefficient of this gas increases $x$ times. What is the value of $x$? | English | en | english_source |
chem | JEE Adv 2016 Paper 1 | 6 | 34 | Integer | In neutral or faintly alkaline solution, 8 moles of permanganate anion quantitatively oxidize thiosulphate anions to produce $\mathbf{X}$ moles of a sulphur containing product. What is the magnitude of $\mathbf{X}$? | English | en | english_source |
math | JEE Adv 2016 Paper 1 | C | 37 | MCQ | Let $-\frac{\pi}{6}<\theta<-\frac{\pi}{12}$. Suppose $\alpha_{1}$ and $\beta_{1}$ are the roots of the equation $x^{2}-2 x \sec \theta+1=0$ and $\alpha_{2}$ and $\beta_{2}$ are the roots of the equation $x^{2}+2 x \tan \theta-1=0$. If $\alpha_{1}>\beta_{1}$ and $\alpha_{2}>\beta_{2}$, then $\alpha_{1}+\beta_{2}$ equals... | English | en | english_source |
math | JEE Adv 2016 Paper 1 | A | 38 | MCQ | A debate club consists of 6 girls and 4 boys. A team of 4 members is to be selected from this club including the selection of a captain (from among these 4 members) for the team. If the team has to include at most one boy, then the number of ways of selecting the team is
(A) 380
(B) 320
(C) 260
(D) 95 | English | en | english_source |
math | JEE Adv 2016 Paper 1 | C | 39 | MCQ | Let $S=\left\{x \in(-\pi, \pi): x \neq 0, \pm \frac{\pi}{2}\right\}$. The sum of all distinct solutions of the equation $\sqrt{3} \sec x+\operatorname{cosec} x+2(\tan x-\cot x)=0$ in the set $S$ is equal to
(A) $-\frac{7 \pi}{9}$
(B) $-\frac{2 \pi}{9}$
(C) 0
(D) $\frac{5 \pi}{9}$ | English | en | english_source |
math | JEE Adv 2016 Paper 1 | C | 40 | MCQ | A computer producing factory has only two plants $T_{1}$ and $T_{2}$. Plant $T_{1}$ produces $20 \%$ and plant $T_{2}$ produces $80 \%$ of the total computers produced. $7 \%$ of computers produced in the factory turn out to be defective. It is known that
$P$ (computer turns out to be defective given that it is produc... | English | en | english_source |
math | JEE Adv 2016 Paper 1 | C | 41 | MCQ | The least value of $\alpha \in \mathbb{R}$ for which $4 \alpha x^{2}+\frac{1}{x} \geq 1$, for all $x>0$, is
(A) $\frac{1}{64}$
(B) $\frac{1}{32}$
(C) $\frac{1}{27}$
(D) $\frac{1}{25}$ | English | en | english_source |
math | JEE Adv 2016 Paper 1 | BCD | 42 | MCQ(multiple) | Consider a pyramid $O P Q R S$ located in the first octant $(x \geq 0, y \geq 0, z \geq 0)$ with $O$ as origin, and $O P$ and $O R$ along the $x$-axis and the $y$-axis, respectively. The base $O P Q R$ of the pyramid is a square with $O P=3$. The point $S$ is directly above the mid-point $T$ of diagonal $O Q$ such that... | English | en | english_source |
math | JEE Adv 2016 Paper 1 | A | 43 | MCQ(multiple) | Let $f:(0, \infty) \rightarrow \mathbb{R}$ be a differentiable function such that $f^{\prime}(x)=2-\frac{f(x)}{x}$ for all $x \in(0, \infty)$ and $f(1) \neq 1$. Then
(A) $\lim _{x \rightarrow 0+} f^{\prime}\left(\frac{1}{x}\right)=1$
(B) $\lim _{x \rightarrow 0+} x f\left(\frac{1}{x}\right)=2$
(C) $\lim _{x \rightar... | English | en | english_source |
math | JEE Adv 2016 Paper 1 | BC | 44 | MCQ(multiple) | Let $P=\left[\begin{array}{ccc}3 & -1 & -2 \\ 2 & 0 & \alpha \\ 3 & -5 & 0\end{array}\right]$, where $\alpha \in \mathbb{R}$. Suppose $Q=\left[q_{i j}\right]$ is a matrix such that $P Q=k I$, where $k \in \mathbb{R}, k \neq 0$ and $I$ is the identity matrix of order 3 . If $q_{23}=-\frac{k}{8}$ and $\operatorname{det}(... | English | en | english_source |
math | JEE Adv 2016 Paper 1 | ACD | 45 | MCQ(multiple) | In a triangle $X Y Z$, let $x, y, z$ be the lengths of sides opposite to the angles $X, Y, Z$, respectively, and $2 s=x+y+z$. If $\frac{s-x}{4}=\frac{s-y}{3}=\frac{s-z}{2}$ and area of incircle of the triangle $X Y Z$ is $\frac{8 \pi}{3}$, then
(A) area of the triangle $X Y Z$ is $6 \sqrt{6}$
(B) the radius of circum... | English | en | english_source |
math | JEE Adv 2016 Paper 1 | AD | 46 | MCQ(multiple) | A solution curve of the differential equation $\left(x^{2}+x y+4 x+2 y+4\right) \frac{d y}{d x}-y^{2}=0, x>0$, passes through the point $(1,3)$. Then the solution curve
(A) intersects $y=x+2$ exactly at one point
(B) intersects $y=x+2$ exactly at two points
(C) intersects $y=(x+2)^{2}$
(D) does NO'T intersect $y=(x... | English | en | english_source |
math | JEE Adv 2016 Paper 1 | BC | 47 | MCQ(multiple) | Let $f: \mathbb{R} \rightarrow \mathbb{R}, \quad g: \mathbb{R} \rightarrow \mathbb{R}$ and $h: \mathbb{R} \rightarrow \mathbb{R}$ be differentiable functions such that $f(x)=x^{3}+3 x+2, g(f(x))=x$ and $h(g(g(x)))=x$ for all $x \in \mathbb{R}$. Then
(A) $\quad g^{\prime}(2)=\frac{1}{15}$
(B) $h^{\prime}(1)=666$
(C) ... | English | en | english_source |
math | JEE Adv 2016 Paper 1 | ABC | 48 | MCQ(multiple) | The circle $C_{1}: x^{2}+y^{2}=3$, with centre at $O$, intersects the parabola $x^{2}=2 y$ at the point $P$ in the first quadrant. Let the tangent to the circle $C_{1}$ at $P$ touches other two circles $C_{2}$ and $C_{3}$ at $R_{2}$ and $R_{3}$, respectively. Suppose $C_{2}$ and $C_{3}$ have equal radii $2 \sqrt{3}$ an... | English | en | english_source |
math | JEE Adv 2016 Paper 1 | AC | 49 | MCQ(multiple) | Let $R S$ be the diameter of the circle $x^{2}+y^{2}=1$, where $S$ is the point $(1,0)$. Let $P$ be a variable point (other than $R$ and $S$ ) on the circle and tangents to the circle at $S$ and $P$ meet at the point $Q$. The normal to the circle at $P$ intersects a line drawn through $Q$ parallel to $R S$ at point $E$... | English | en | english_source |
math | JEE Adv 2016 Paper 1 | 2 | 50 | Integer | What is the total number of distinct $x \in \mathbb{R}$ for which $\left|\begin{array}{ccc}x & x^{2} & 1+x^{3} \\ 2 x & 4 x^{2} & 1+8 x^{3} \\ 3 x & 9 x^{2} & 1+27 x^{3}\end{array}\right|=10$? | English | en | english_source |
math | JEE Adv 2016 Paper 1 | 5 | 51 | Integer | Let $m$ be the smallest positive integer such that the coefficient of $x^{2}$ in the expansion of $(1+x)^{2}+(1+x)^{3}+\cdots+(1+x)^{49}+(1+m x)^{50}$ is $(3 n+1){ }^{51} C_{3}$ for some positive integer $n$. Then what is the value of $n$? | English | en | english_source |
math | JEE Adv 2016 Paper 1 | 1 | 52 | Integer | What is the total number of distinct $x \in[0,1]$ for which $\int_{0}^{x} \frac{t^{2}}{1+t^{4}} d t=2 x-1$? | English | en | english_source |
math | JEE Adv 2016 Paper 1 | 7 | 53 | Integer | Let $\alpha, \beta \in \mathbb{R}$ be such that $\lim _{x \rightarrow 0} \frac{x^{2} \sin (\beta x)}{\alpha x-\sin x}=1$.Then what is the value of $6(\alpha+\beta)$? | English | en | english_source |
math | JEE Adv 2016 Paper 1 | 1 | 54 | Integer | Let $z=\frac{-1+\sqrt{3} i}{2}$, where $i=\sqrt{-1}$, and $r, s \in\{1,2,3\}$. Let $P=\left[\begin{array}{cc}(-z)^{r} & z^{2 s} \\ z^{2 s} & z^{r}\end{array}\right]$ and $I$ be the identity matrix of order 2 . Then what is the total number of ordered pairs $(r, s)$ for which $P^{2}=-I$? | English | en | english_source |
phy | JEE Adv 2016 Paper 2 | C | 1 | MCQ | The electrostatic energy of $Z$ protons uniformly distributed throughout a spherical nucleus of radius $R$ is given by
\[
E=\frac{3}{5} \frac{Z(Z-1) e^{2}}{4 \pi \varepsilon_{0} R}
\]
The measured masses of the neutron, ${ }_{1}^{1} \mathrm{H},{ }_{7}^{15} \mathrm{~N}$ and ${ }_{8}^{15} \mathrm{O}$ are $1.008665 \mat... | English | en | english_source |
phy | JEE Adv 2016 Paper 2 | C | 2 | MCQ | An accident in a nuclear laboratory resulted in deposition of a certain amount of radioactive material of half-life 18 days inside the laboratory. Tests revealed that the radiation was 64 times more than the permissible level required for safe operation of the laboratory. What is the minimum number of days after which ... | English | en | english_source |
phy | JEE Adv 2016 Paper 2 | C | 3 | MCQ | A gas is enclosed in a cylinder with a movable frictionless piston. Its initial thermodynamic state at pressure $P_{i}=10^{5} \mathrm{~Pa}$ and volume $V_{i}=10^{-3} \mathrm{~m}^{3}$ changes to a final state at $P_{f}=(1 / 32) \times 10^{5} \mathrm{~Pa}$ and $V_{f}=8 \times 10^{-3} \mathrm{~m}^{3}$ in an adiabatic quas... | English | en | english_source |
phy | JEE Adv 2016 Paper 2 | A | 4 | MCQ | The ends $\mathrm{Q}$ and $\mathrm{R}$ of two thin wires, $\mathrm{PQ}$ and RS, are soldered (joined) together. Initially each of the wires has a length of $1 \mathrm{~m}$ at $10^{\circ} \mathrm{C}$. Now the end $P$ is maintained at $10^{\circ} \mathrm{C}$, while the end $\mathrm{S}$ is heated and maintained at $400^{\... | English | en | english_source |
phy | JEE Adv 2016 Paper 2 | ABD | 9 | MCQ(multiple) | In an experiment to determine the acceleration due to gravity $g$, the formula used for the time period of a periodic motion is $T=2 \pi \sqrt{\frac{7(R-r)}{5 g}}$. The values of $R$ and $r$ are measured to be $(60 \pm 1) \mathrm{mm}$ and $(10 \pm 1) \mathrm{mm}$, respectively. In five successive measurements, the time... | English | en | english_source |
phy | JEE Adv 2016 Paper 2 | BC | 10 | MCQ(multiple) | Consider two identical galvanometers and two identical resistors with resistance $R$. If the internal resistance of the galvanometers $R_{\mathrm{C}}<R / 2$, which of the following statement(s) about any one of the galvanometers is(are) true?
(A) The maximum voltage range is obtained when all the components are connec... | English | en | english_source |
phy | JEE Adv 2016 Paper 2 | ABD | 12 | MCQ(multiple) | A block with mass $M$ is connected by a massless spring with stiffness constant $k$ to a rigid wall and moves without friction on a horizontal surface. The block oscillates with small amplitude $A$ about an equilibrium position $x_{0}$. Consider two cases: (i) when the block is at $x_{0}$; and (ii) when the block is at... | English | en | english_source |
chem | JEE Adv 2016 Paper 2 | D | 19 | MCQ | For the following electrochemical cell at $298 \mathrm{~K}$,
$\mathrm{Pt}(s) \mid \mathrm{H}_{2}(g, 1$ bar $)\left|\mathrm{H}^{+}(aq, 1 \mathrm{M}) \| \mathrm{M}^{4+}(aq), \mathrm{M}^{2+}(aq)\right| \operatorname{Pt}(s)$
$E_{\text {cell }}=0.092 \mathrm{~V}$ when $\frac{\left[\mathrm{M}^{2+}(aq)\right]}{\left[M^{4+}(... | English | en | english_source |
chem | JEE Adv 2016 Paper 2 | A | 22 | MCQ | The geometries of the ammonia complexes of $\mathrm{Ni}^{2+}, \mathrm{Pt}^{2+}$ and $\mathrm{Zn}^{2+}$, respectively, are
(A) octahedral, square planar and tetrahedral
(B) square planar, octahedral and tetrahedral
(C) tetrahedral, square planar and octahedral
(D) octahedral, tetrahedral and square planar | English | en | english_source |
chem | JEE Adv 2016 Paper 2 | AC | 25 | MCQ(multiple) | According to Molecular Orbital Theory,
(A) $\mathrm{C}_{2}^{2-}$ is expected to be diamagnetic
(B) $\mathrm{O}_{2}^{2+}$ is expected to have a longer bond length than $\mathrm{O}_{2}$
(C) $\mathrm{N}_{2}^{+}$and $\mathrm{N}_{2}^{-}$have the same bond order
(D) $\mathrm{He}_{2}^{+}$has the same energy as two isolate... | English | en | english_source |
chem | JEE Adv 2016 Paper 2 | AB | 26 | MCQ(multiple) | Mixture(s) showing positive deviation from Raoult's law at $35^{\circ} \mathrm{C}$ is(are)
(A) carbon tetrachloride + methanol
(B) carbon disulphide + acetone
(C) benzene + toluene
(D) phenol + aniline | English | en | english_source |
chem | JEE Adv 2016 Paper 2 | BCD | 27 | MCQ(multiple) | The CORRECT statement(s) for cubic close packed (ccp) three dimensional structure is(are)
(A) The number of the nearest neighbours of an atom present in the topmost layer is 12
(B) The efficiency of atom packing is $74 \%$
(C) The number of octahedral and tetrahedral voids per atom are 1 and 2 , respectively
(D) Th... | English | en | english_source |
chem | JEE Adv 2016 Paper 2 | ABC | 28 | MCQ(multiple) | Extraction of copper from copper pyrite $\left(\mathrm{CuFeS}_{2}\right)$ involves
(A) crushing followed by concentration of the ore by froth-flotation
(B) removal of iron as slag
(C) self-reduction step to produce 'blister copper' following evolution of $\mathrm{SO}_{2}$
(D) refining of 'blister copper' by carbon ... | English | en | english_source |
chem | JEE Adv 2016 Paper 2 | BD | 29 | MCQ(multiple) | The nitrogen containing compound produced in the reaction of $\mathrm{HNO}_{3}$ with $\mathrm{P}_{4} \mathrm{O}_{10}$
(A) can also be prepared by reaction of $\mathrm{P}_{4}$ and $\mathrm{HNO}_{3}$
(B) is diamagnetic
(C) contains one $\mathrm{N}-\mathrm{N}$ bond
(D) reacts with $\mathrm{Na}$ metal producing a brown... | English | en | english_source |
chem | JEE Adv 2016 Paper 2 | BC | 30 | MCQ(multiple) | For 'invert sugar', the correct statement(s) is(are)
(Given: specific rotations of (+)-sucrose, (+)-maltose, L-(-)-glucose and L-(+)-fructose in aqueous solution are $+66^{\circ},+140^{\circ},-52^{\circ}$ and $+92^{\circ}$, respectively)
(A) 'invert sugar' is prepared by acid catalyzed hydrolysis of maltose
(B) 'inv... | English | en | english_source |
math | JEE Adv 2016 Paper 2 | B | 37 | MCQ | Let $P=\left[\begin{array}{ccc}1 & 0 & 0 \\ 4 & 1 & 0 \\ 16 & 4 & 1\end{array}\right]$ and $I$ be the identity matrix of order 3. If $Q=\left[q_{i j}\right]$ is a matrix such that $P^{50}-Q=I$, then $\frac{q_{31}+q_{32}}{q_{21}}$ equals
(A) 52
(B) 103
(C) 201
(D) 205 | English | en | english_source |
math | JEE Adv 2016 Paper 2 | B | 38 | MCQ | Let $b_{i}>1$ for $i=1,2, \ldots, 101$. Suppose $\log _{e} b_{1}, \log _{e} b_{2}, \ldots, \log _{e} b_{101}$ are in Arithmetic Progression (A.P.) with the common difference $\log _{e} 2$. Suppose $a_{1}, a_{2}, \ldots, a_{101}$ are in A.P. such that $a_{1}=b_{1}$ and $a_{51}=b_{51}$. If $t=b_{1}+b_{2}+\cdots+b_{51}$ a... | English | en | english_source |
math | JEE Adv 2016 Paper 2 | A | 40 | MCQ | The value of $\int_{-\frac{\pi}{2}}^{\frac{\pi}{2}} \frac{x^{2} \cos x}{1+e^{x}} d x$ is equal to
(A) $\frac{\pi^{2}}{4}-2$
(B) $\frac{\pi^{2}}{4}+2$
(C) $\pi^{2}-e^{\frac{\pi}{2}}$
(D) $\pi^{2}+e^{\frac{\pi}{2}}$ | English | en | english_source |
math | JEE Adv 2016 Paper 2 | C | 42 | MCQ | Let $P$ be the image of the point $(3,1,7)$ with respect to the plane $x-y+z=3$. Then the equation of the plane passing through $P$ and containing the straight line $\frac{x}{1}=\frac{y}{2}=\frac{z}{1}$ is
(A) $x+y-3 z=0$
(B) $3 x+z=0$
(C) $x-4 y+7 z=0$
(D) $2 x-y=0$ | English | en | english_source |
math | JEE Adv 2016 Paper 2 | AB | 44 | MCQ(multiple) | Let $a, b \in \mathbb{R}$ and $f: \mathbb{R} \rightarrow \mathbb{R}$ be defined by $f(x)=a \cos \left(\left|x^{3}-x\right|\right)+b|x| \sin \left(\left|x^{3}+x\right|\right)$. Then $f$ is
(A) differentiable at $x=0$ if $a=0$ and $b=1$
(B) differentiable at $x=1$ if $a=1$ and $b=0$
(C) NOT differentiable at $x=0$ if ... | English | en | english_source |
math | JEE Adv 2016 Paper 2 | AD | 45 | MCQ(multiple) | Let $f: \mathbb{R} \rightarrow(0, \infty)$ and $g: \mathbb{R} \rightarrow \mathbb{R}$ be twice differentiable functions such that $f^{\prime \prime}$ and $g^{\prime \prime}$ are continuous functions on $\mathbb{R}$. Suppose $f^{\prime}(2)=g(2)=0, f^{\prime \prime}(2) \neq 0$ and $g^{\prime}(2) \neq 0$. If $\lim _{x \ri... | English | en | english_source |
math | JEE Adv 2016 Paper 2 | BC | 46 | MCQ(multiple) | Let $f:\left[-\frac{1}{2}, 2\right] \rightarrow \mathbb{R}$ and $g:\left[-\frac{1}{2}, 2\right] \rightarrow \mathbb{R}$ be functions defined by $f(x)=\left[x^{2}-3\right]$ and $g(x)=|x| f(x)+|4 x-7| f(x)$, where $[y]$ denotes the greatest integer less than or equal to $y$ for $y \in \mathbb{R}$. Then
(A) $f$ is discon... | English | en | english_source |
math | JEE Adv 2016 Paper 2 | ACD | 47 | MCQ(multiple) | Let $a, b \in \mathbb{R}$ and $a^{2}+b^{2} \neq 0$. Suppose $S=\left\{z \in \mathbb{C}: z=\frac{1}{a+i b t}, t \in \mathbb{R}, t \neq 0\right\}$, where $i=\sqrt{-1}$. If $z=x+i y$ and $z \in S$, then $(x, y)$ lies on
(A) the circle with radius $\frac{1}{2 a}$ and centre $\left(\frac{1}{2 a}, 0\right)$ for $a>0, b \neq... | English | en | english_source |
math | JEE Adv 2016 Paper 2 | ACD | 48 | MCQ(multiple) | Let $P$ be the point on the parabola $y^{2}=4 x$ which is at the shortest distance from the center $S$ of the circle $x^{2}+y^{2}-4 x-16 y+64=0$. Let $Q$ be the point on the circle dividing the line segment $S P$ internally. Then
(A) $S P=2 \sqrt{5}$
(B) $S Q: Q P=(\sqrt{5}+1): 2$
(C) the $x$-intercept of the normal... | English | en | english_source |
math | JEE Adv 2016 Paper 2 | BCD | 49 | MCQ(multiple) | Let $a, \lambda, \mu \in \mathbb{R}$. Consider the system of linear equations
\[
\begin{aligned}
& a x+2 y=\lambda \\
& 3 x-2 y=\mu
\end{aligned}
\]
Which of the following statement(s) is(are) correct?
(A) If $a=-3$, then the system has infinitely many solutions for all values of $\lambda$ and $\mu$
(B) If $a \n... | English | en | english_source |
math | JEE Adv 2016 Paper 2 | BC | 50 | MCQ(multiple) | Let $\hat{u}=u_{1} \hat{i}+u_{2} \hat{j}+u_{3} \hat{k}$ be a unit vector in $\mathbb{R}^{3}$ and $\hat{w}=\frac{1}{\sqrt{6}}(\hat{i}+\hat{j}+2 \hat{k})$. Given that there exists a vector $\vec{v}$ in $\mathbb{R}^{3}$ such that $|\hat{u} \times \vec{v}|=1$ and $\hat{w} \cdot(\hat{u} \times \vec{v})=1$. Which of the foll... | English | en | english_source |
phy | JEE Adv 2017 Paper 1 | ABD | 1 | MCQ(multiple) | A flat plate is moving normal to its plane through a gas under the action of a constant force $F$. The gas is kept at a very low pressure. The speed of the plate $v$ is much less than the average speed $u$ of the gas molecules. Which of the following options is/are true?
[A] The pressure difference between the leading... | English | en | english_source |
phy | JEE Adv 2017 Paper 1 | C | 4 | MCQ(multiple) | A human body has a surface area of approximately $1 \mathrm{~m}^{2}$. The normal body temperature is $10 \mathrm{~K}$ above the surrounding room temperature $T_{0}$. Take the room temperature to be $T_{0}=300 \mathrm{~K}$. For $T_{0}=300 \mathrm{~K}$, the value of $\sigma T_{0}^{4}=460 \mathrm{Wm}^{-2}$ (where $\sigma$... | English | en | english_source |
phy | JEE Adv 2017 Paper 1 | ACD | 7 | MCQ(multiple) | For an isosceles prism of angle $A$ and refractive index $\mu$, it is found that the angle of minimum deviation $\delta_{m}=A$. Which of the following options is/are correct?
[A] For the angle of incidence $i_{1}=A$, the ray inside the prism is parallel to the base of the prism
[B] For this prism, the refractive inde... | English | en | english_source |
phy | JEE Adv 2017 Paper 1 | 6 | 8 | Integer | A drop of liquid of radius $\mathrm{R}=10^{-2} \mathrm{~m}$ having surface tension $\mathrm{S}=\frac{0.1}{4 \pi} \mathrm{Nm}^{-1}$ divides itself into $K$ identical drops. In this process the total change in the surface energy $\Delta U=10^{-3} \mathrm{~J}$. If $K=10^{\alpha}$ then what is the value of $\alpha$? | English | en | english_source |
phy | JEE Adv 2017 Paper 1 | 5 | 9 | Integer | An electron in a hydrogen atom undergoes a transition from an orbit with quantum number $n_{i}$ to another with quantum number $n_{f} . V_{i}$ and $V_{f}$ are respectively the initial and final potential energies of the electron. If $\frac{V_{i}}{V_{f}}=6.25$, then what is the smallest possible $n_{f}$? | English | en | english_source |
phy | JEE Adv 2017 Paper 1 | 6 | 11 | Integer | A stationary source emits sound of frequency $f_{0}=492 \mathrm{~Hz}$. The sound is reflected by a large car approaching the source with a speed of $2 \mathrm{~ms}^{-1}$. The reflected signal is received by the source and superposed with the original. What will be the beat frequency of the resulting signal in Hz? (Give... | English | en | english_source |
phy | JEE Adv 2017 Paper 1 | 5 | 12 | Integer | ${ }^{131} \mathrm{I}$ is an isotope of Iodine that $\beta$ decays to an isotope of Xenon with a half-life of 8 days. A small amount of a serum labelled with ${ }^{131} \mathrm{I}$ is injected into the blood of a person. The activity of the amount of ${ }^{131} \mathrm{I}$ injected was $2.4 \times 10^{5}$ Becquerel (Bq... | English | en | english_source |
chem | JEE Adv 2017 Paper 1 | ABC | 19 | MCQ(multiple) | An ideal gas is expanded from $\left(\mathrm{p}_{1}, \mathrm{~V}_{1}, \mathrm{~T}_{1}\right)$ to $\left(\mathrm{p}_{2}, \mathrm{~V}_{2}, \mathrm{~T}_{2}\right)$ under different conditions. The correct statement(s) among the following is(are)
[A] The work done on the gas is maximum when it is compressed irreversibly fr... | English | en | english_source |
chem | JEE Adv 2017 Paper 1 | ABD | 21 | MCQ(multiple) | The correct statement(s) about the oxoacids, $\mathrm{HClO}_{4}$ and $\mathrm{HClO}$, is(are)
[A] The central atom in both $\mathrm{HClO}_{4}$ and $\mathrm{HClO}$ is $s p^{3}$ hybridized
[B] $\mathrm{HClO}_{4}$ is more acidic than $\mathrm{HClO}$ because of the resonance stabilization of its anion
[C] $\mathrm{HClO}... | English | en | english_source |
chem | JEE Adv 2017 Paper 1 | CD | 22 | MCQ(multiple) | The colour of the $\mathrm{X}_{2}$ molecules of group 17 elements changes gradually from yellow to violet down the group. This is due to
[A] the physical state of $\mathrm{X}_{2}$ at room temperature changes from gas to solid down the group
[B] decrease in ionization energy down the group
[C] decrease in $\pi^{*}-\s... | English | en | english_source |
chem | JEE Adv 2017 Paper 1 | BCD | 23 | MCQ(multiple) | Addition of excess aqueous ammonia to a pink coloured aqueous solution of $\mathrm{MCl}_{2} \cdot 6 \mathrm{H}_{2} \mathrm{O}$ $(\mathbf{X})$ and $\mathrm{NH}_{4} \mathrm{Cl}$ gives an octahedral complex $\mathbf{Y}$ in the presence of air. In aqueous solution, complex $\mathbf{Y}$ behaves as 1:3 electrolyte. The react... | English | en | english_source |
chem | JEE Adv 2017 Paper 1 | 2 | 26 | Integer | A crystalline solid of a pure substance has a face-centred cubic structure with a cell edge of $400 \mathrm{pm}$. If the density of the substance in the crystal is $8 \mathrm{~g} \mathrm{~cm}^{-3}$, then the number of atoms present in $256 \mathrm{~g}$ of the crystal is $N \times 10^{24}$. What is the value of $N$? | English | en | english_source |
chem | JEE Adv 2017 Paper 1 | 6 | 27 | Integer | The conductance of a $0.0015 \mathrm{M}$ aqueous solution of a weak monobasic acid was determined by using a conductivity cell consisting of platinized Pt electrodes. The distance between the electrodes is $120 \mathrm{~cm}$ with an area of cross section of $1 \mathrm{~cm}^{2}$. The conductance of this solution was fou... | English | en | english_source |
chem | JEE Adv 2017 Paper 1 | 6 | 28 | Integer | What is the sum of the number of lone pairs of electrons on each central atom in the following species?
$\left[\mathrm{TeBr}_{6}\right]^{2-},\left[\mathrm{BrF}_{2}\right]^{+}, \mathrm{SNF}_{3}$, and $\left[\mathrm{XeF}_{3}\right]^{-}$
(Atomic numbers: $\mathrm{N}=7, \mathrm{~F}=9, \mathrm{~S}=16, \mathrm{Br}=35, \mat... | English | en | english_source |
chem | JEE Adv 2017 Paper 1 | 5 | 29 | Integer | Among $\mathrm{H}_{2}, \mathrm{He}_{2}{ }^{+}, \mathrm{Li}_{2}, \mathrm{Be}_{2}, \mathrm{~B}_{2}, \mathrm{C}_{2}, \mathrm{~N}_{2}, \mathrm{O}_{2}^{-}$, and $\mathrm{F}_{2}$, what is the number of diamagnetic species? (Atomic numbers: $\mathrm{H}=1, \mathrm{He}=2, \mathrm{Li}=3, \mathrm{Be}=4, \mathrm{~B}=5, \mathrm{C}=... | English | en | english_source |
math | JEE Adv 2017 Paper 1 | ABC | 37 | MCQ(multiple) | If $2 x-y+1=0$ is a tangent to the hyperbola $\frac{x^{2}}{a^{2}}-\frac{y^{2}}{16}=1$, then which of the following CANNOT be sides of a right angled triangle?
[A] $a, 4,1$
[B] $a, 4,2$
[C] $2 a, 8,1$
[D] $2 a, 4,1$ | English | en | english_source |
math | JEE Adv 2017 Paper 1 | C | 38 | MCQ(multiple) | If a chord, which is not a tangent, of the parabola $y^{2}=16 x$ has the equation $2 x+y=p$, and midpoint $(h, k)$, then which of the following is(are) possible value(s) of $p, h$ and $k$ ?
[A] $p=-2, h=2, k=-4$
[B] $p=-1, h=1, k=-3$
[C] $p=2, h=3, k=-4$
[D] $p=5, h=4, k=-3$ | English | en | english_source |
math | JEE Adv 2017 Paper 1 | AB | 40 | MCQ(multiple) | Let $f: \mathbb{R} \rightarrow(0,1)$ be a continuous function. Then, which of the following function(s) has(have) the value zero at some point in the interval $(0,1)$ ?
[A] $x^{9}-f(x)$
[B] $x-\int_{0}^{\frac{\pi}{2}-x} f(t) \cos t d t$
[C] e^{x}-\int_{0}^{x} f(t) \sin t d t$
[D] f(x)+\int_{0}^{\frac{\pi}{2}} f(t) ... | English | en | english_source |
math | JEE Adv 2017 Paper 1 | BD | 41 | MCQ(multiple) | Which of the following is(are) NOT the square of a $3 \times 3$ matrix with real entries?
[A]$\left[\begin{array}{lll}1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1\end{array}\right]
[B]$\left[\begin{array}{ccc}1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & -1\end{array}\right]$
[C]$\left[\begin{array}{ccc}1 & 0 & 0 \\ 0 & -1 & 0 \\ 0 & 0 ... | English | en | english_source |
math | JEE Adv 2017 Paper 1 | AB | 42 | MCQ(multiple) | Let $a, b, x$ and $y$ be real numbers such that $a-b=1$ and $y \neq 0$. If the complex number $z=x+i y$ satisfies $\operatorname{Im}\left(\frac{a z+b}{z+1}\right)=\mathrm{y}$, then which of the following is(are) possible value(s) of $x ?$
[A]$-1+\sqrt{1-y^{2}}$
[B]$-1-\sqrt{1-y^{2}}$
[C]$1+\sqrt{1+y^{2}}$
[D]$1-\sq... | English | en | english_source |
math | JEE Adv 2017 Paper 1 | AB | 43 | MCQ(multiple) | Let $X$ and $Y$ be two events such that $P(X)=\frac{1}{3}, P(X \mid Y)=\frac{1}{2}$ and $P(Y \mid X)=\frac{2}{5}$. Then
[A] $P(Y)=\frac{4}{15}$
[B] $P\left(X^{\prime} \mid Y\right)=\frac{1}{2}$
[C] \quad P(X \cap Y)=\frac{1}{5}$
[D] $P(X \cup Y)=\frac{2}{5}$ | English | en | english_source |
math | JEE Adv 2017 Paper 1 | 2 | 44 | Integer | For how many values of $p$, the circle $x^{2}+y^{2}+2 x+4 y-p=0$ and the coordinate axes have exactly three common points? | English | en | english_source |
math | JEE Adv 2017 Paper 1 | 2 | 45 | Integer | Let $f: \mathbb{R} \rightarrow \mathbb{R}$ be a differentiable function such that $f(0)=0, f\left(\frac{\pi}{2}\right)=3$ and $f^{\prime}(0)=1$. If
\[
g(x)=\int_{x}^{\frac{\pi}{2}}\left[f^{\prime}(t) \operatorname{cosec} t-\cot t \operatorname{cosec} t f(t)\right] d t
\]
for $x \in\left(0, \frac{\pi}{2}\right]$, then... | English | en | english_source |
math | JEE Adv 2017 Paper 1 | 1 | 46 | Integer | For a real number $\alpha$, if the system
\[
\left[\begin{array}{ccc}
1 & \alpha & \alpha^{2} \\
\alpha & 1 & \alpha \\
\alpha^{2} & \alpha & 1
\end{array}\right]\left[\begin{array}{l}
x \\
y \\
z
\end{array}\right]=\left[\begin{array}{r}
1 \\
-1 \\
1
\end{array}\right]
\]
of linear equations, has infinit... | English | en | english_source |
math | JEE Adv 2017 Paper 1 | 5 | 47 | Integer | Words of length 10 are formed using the letters $A, B, C, D, E, F, G, H, I, J$. Let $x$ be the number of such words where no letter is repeated; and let $y$ be the number of such words where exactly one letter is repeated twice and no other letter is repeated. Then, what is the value of $\frac{y}{9 x}$? | English | en | english_source |
math | JEE Adv 2017 Paper 1 | 6 | 48 | Integer | The sides of a right angled triangle are in arithmetic progression. If the triangle has area 24, then what is the length of its smallest side? | English | en | english_source |
phy | JEE Adv 2017 Paper 2 | A | 1 | MCQ | Consider an expanding sphere of instantaneous radius $R$ whose total mass remains constant. The expansion is such that the instantaneous density $\rho$ remains uniform throughout the volume. The rate of fractional change in density $\left(\frac{1}{\rho} \frac{d \rho}{d t}\right)$ is constant. The velocity $v$ of any po... | English | en | english_source |
phy | JEE Adv 2017 Paper 2 | D | 3 | MCQ | A photoelectric material having work-function $\phi_{0}$ is illuminated with light of wavelength $\lambda\left(\lambda<\frac{h c}{\phi_{0}}\right)$. The fastest photoelectron has a de Broglie wavelength $\lambda_{d}$. A change in wavelength of the incident light by $\Delta \lambda$ results in a change $\Delta \lambda_{... | English | en | english_source |
phy | JEE Adv 2017 Paper 2 | B | 6 | MCQ | A rocket is launched normal to the surface of the Earth, away from the Sun, along the line joining the Sun and the Earth. The Sun is $3 \times 10^{5}$ times heavier than the Earth and is at a distance $2.5 \times 10^{4}$ times larger than the radius of the Earth. The escape velocity from Earth's gravitational field is ... | English | en | english_source |
phy | JEE Adv 2017 Paper 2 | B | 7 | MCQ | A person measures the depth of a well by measuring the time interval between dropping a stone and receiving the sound of impact with the bottom of the well. The error in his measurement of time is $\delta T=0.01$ seconds and he measures the depth of the well to be $L=20$ meters. Take the acceleration due to gravity $g=... | English | en | english_source |
phy | JEE Adv 2017 Paper 2 | AD | 9 | MCQ(multiple) | The instantaneous voltages at three terminals marked $X, Y$ and $Z$ are given by
\[
\begin{aligned}
& V_{X}=V_{0} \sin \omega t, \\
& V_{Y}=V_{0} \sin \left(\omega t+\frac{2 \pi}{3}\right) \text { and } \\
& V_{Z}=V_{0} \sin \left(\omega t+\frac{4 \pi}{3}\right) .
\end{aligned}
\]
An ideal voltmeter is configured... | English | en | english_source |
chem | JEE Adv 2017 Paper 2 | B | 20 | MCQ | For the following cell,
\[
\mathrm{Zn}(s)\left|\mathrm{ZnSO}_{4}(a q) \| \mathrm{CuSO}_{4}(a q)\right| \mathrm{Cu}(s)
\]
when the concentration of $\mathrm{Zn}^{2+}$ is 10 times the concentration of $\mathrm{Cu}^{2+}$, the expression for $\Delta G\left(\right.$ in $\left.\mathrm{J} \mathrm{mol}^{-1}\right)$ is
[ $\m... | English | en | english_source |
End of preview. Expand in Data Studio
Multilingual JEE-Bench
JEE-Bench contains 515 challenging pre-engineering Mathematics, Physics, and Chemistry problems from JEE Advanced examinations held from 2016 through 2023. This multilingual release provides the complete English test set and every available translation from the supplied 14-language translation pipeline.
Dataset construction
The English rows and original schema come from
daman1209arora/jeebench.
Only question is translated. subject, description, gold, index, and
type remain exactly as in the official English row.
The official index repeats between examination papers. To map a translated
row unambiguously to the source, use the pair (description, index), which is
unique across all 515 rows. Configurations preserve official source order except
that an unavailable translation is omitted.
For every translated row, the highest correction round is published when one
exists; otherwise, the initial translation is published. The judge threshold is
98. A correction that remains below 98 is still included and marked
failed_after_correction_review_needed for human review.
Columns
subjectdescriptiongoldindextypequestionlanguagelanguage_codejudge_pass_stage
The last three columns are added by this multilingual release.
Configurations and coverage
| Config | Language | Published rows | Missing vs. English |
|---|---|---|---|
en |
English | 515 | 0 |
as |
Assamese | 515 | 0 |
bn |
Bengali | 515 | 0 |
gu |
Gujarati | 515 | 0 |
hi |
Hindi | 515 | 0 |
kn |
Kannada | 515 | 0 |
ml |
Malayalam | 515 | 0 |
mr |
Marathi | 515 | 0 |
ne |
Nepali | 515 | 0 |
or |
Odia | 514 | 1 |
pa |
Punjabi | 515 | 0 |
sa |
Sanskrit | 514 | 1 |
ta |
Tamil | 515 | 0 |
te |
Telugu | 515 | 0 |
ur |
Urdu | 515 | 0 |
Across all configurations, this repository contains 7,723 rows: 515 English rows and 7,208 translated rows. No missing translation was synthesized.
Missing translations
| Config | Language | Source position | Official identifier |
|---|---|---|---|
or |
Odia | source row 135 |
JEE Adv 2018 Paper 1 / question 30 |
sa |
Sanskrit | source row 439 |
JEE Adv 2022 Paper 2 / question 38 |
Translation review status by language
Counts below cover translated rows only. English rows use english_source.
| Status | as |
bn |
gu |
hi |
kn |
ml |
mr |
ne |
or |
pa |
sa |
ta |
te |
ur |
Total |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
first_judge_pass |
495 | 500 | 504 | 503 | 500 | 494 | 501 | 499 | 500 | 498 | 425 | 505 | 509 | 492 | 6925 |
passed_after_correction |
20 | 14 | 11 | 11 | 14 | 20 | 14 | 14 | 13 | 17 | 88 | 9 | 6 | 19 | 270 |
failed_after_correction_review_needed |
0 | 1 | 0 | 1 | 1 | 1 | 0 | 2 | 1 | 0 | 1 | 1 | 0 | 4 | 13 |
failed_first_judge_review_needed |
0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
not_judged_review_needed |
0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
Status meanings:
first_judge_pass: the initial translation scored at least 98 and needed no correction.passed_after_correction: the latest corrected translation scored at least 98.failed_after_correction_review_needed: the latest corrected translation remained below 98.failed_first_judge_review_needed: an uncorrected initial translation remained below 98.not_judged_review_needed: no usable judge score was available.
Source, license, and citation
- Original dataset: https://huggingface.co/datasets/daman1209arora/jeebench
- Official code and data: https://github.com/dair-iitd/jeebench
- Paper: https://aclanthology.org/2023.emnlp-main.468/
- License: MIT
Please cite the original JEE-Bench paper when using this dataset.
@inproceedings{arora-etal-2023-llms,
title = {Have LLMs Advanced Enough? A Challenging Problem Solving Benchmark For Large Language Models},
author = {Arora, Daman and Singh, Himanshu Gaurav and Mausam},
booktitle = {Proceedings of the 2023 Conference on Empirical Methods in Natural Language Processing},
year = {2023},
pages = {7527--7543},
doi = {10.18653/v1/2023.emnlp-main.468}
}
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