IAT (IISER) 2026

Which one of the following choices matches the organs in column I with their vascular system arrangement described in column II?Column IColumn IIP.Dicot rooti.Radial, open, diarch to tetrarchQ.Dicot stemii.Ring, conjoint, openR.Monocot root...

If cell wall was used as the only criterion for classifying organisms, then Mycoplasma would have belonged to which one of the following groups?

For which one of the following enzyme activity plots, will the $K_m$ of the enzyme for substrate 'S' be 20? [S] indicates substrate concentration.

Which one of the following molecules can be used for RNA interference?

The pBR322 cloning vector has genes coding for tetracycline and ampicillin resistance. A foreign DNA to be cloned is inserted into the tetracycline resistance gene and the recombinant plasmid is then transformed into E. coli cells. Which on...

In which one of the following cases, will an anti-Rh antibody treatment prevent erythroblastosis foetalis?

Which one of the following correctly describes the mode of action of Follicle Stimulating Hormone (FSH) and estrogen?

A female child is born with all the primary oocytes required during her lifetime. At which one of the following stages of cell division are these oocytes found at birth?

Which one of the following correctly describes the sequence of events leading to muscle contraction following acetylcholine release at the neuromuscular junction?

Which of the following schematics correctly depict a lac operon that can be negatively regulated?

Which one of the following is the correct sequence of the coding strand of the given gene?

The graphs below depict the number of individuals of two organisms, named P and Q, when grown independently, and together. Based on these growth patterns, which one of the following statements is correct?

Which of the following processes result in development of a proton gradient across the thylakoid membrane during photosynthesis?i. Release of protons into the lumen of the thylakoid by plastoquinoneii. Consumption of protons in the stroma d...

For which one of the following parents, their children will NOT have the same blood group phenotype as either of the parents?

The following pedigree diagram shows the inheritance of a rare genetic disorder in a family (filled shapes depict affected individuals). Which one of the following is the most likely pattern of inheritance of the disorder?

What are X and P in the following reaction sequence?

What is the ratio of the velocity of an electron in the fourth orbit of $\text{Be}^{3+}$ to the velocity of the electron in the second orbit of $\text{He}^+$?

What is the order of bond energy between C=S $&$ C=Te, and between Cl–Cl $&$ F–F?

Which one of the following molecules shows an increase in bond order after loss of an electron from the highest occupied molecular orbital?

The rate constant of a reaction at 600 K with an activation energy of $191.47$ kJ mol$^{-1}$ is $5.0 \times 10^{-5}$ s$^{-1}$. What is the temperature at which the half-life of the reaction becomes 152 s? [Consider pre-exponential factor an...

What is the order of $\text{p}K_b$ for the following molecules in an aqueous medium?

Metal-ligand $\pi$-bond formation in $\text{Mn}_2(\text{CO})_{10}$ and $[\text{MnO}_4]^-$ requires electron-pair donation between metal and ligand orbitals. Which one of the following represents the direction of electron-pair donation?

Which one of the following octahedral complexes has the highest spin-only magnetic moment?

Which one is an INCORRECT statement with regard to the following reaction?

Which one of the following molecules is chiral?

For two pure volatile liquids X and Y, attractive intermolecular interactions of both X-X and Y-Y are weaker than those of X-Y. The total vapour pressure of an equimolar solution of X and Y is $p_{total}$. The vapour pressure of pure X and ...

Consider the following silica-gel based thin-layer chromatogram of compounds A and B. Which one of the following statements is correct?

What are the numbers of protons ($\text{H}^+$) and electrons ($\text{e}^-$), respectively, required for the reduction of $[\text{Cr}_2\text{O}_7]^{2-}$ to $\text{Cr}^{3+}$ under an aqueous acidic condition?

100 mL of 1.0 M aqueous NaOH solution was diluted to 1.0 L by adding water. Half of this solution was discarded. A new 100 mL of 0.5 M aqueous NaOH solution was added to the remaining solution. What is the concentration of the final aqueous...

An ideal gas goes through a reversible isothermal expansion (solid line) followed by a reversible adiabatic expansion (dashed line). Which of the following diagram(s) closely depict(s) the entire process?

Let $n = 20^{26}$. What is the remainder when $49^n + 41^n + 10n$ is divided by 100?

Consider the following sets of points in the complex plane$A = \left\{ \cos\left(\dfrac{2n\pi}{5}\right) + i\sin\left(\dfrac{2n\pi}{5}\right) : n \in \mathbb{Z} \right\}$ and$B = \left\{ \cos\left(\dfrac{2n}{5}\right) + i\sin\left(\dfrac{2n...

What is the value of $\displaystyle\int_{-1}^{2} \min\{1 - x, 1 - x^3\}\, dx$?

Let $f : \mathbb{R} \rightarrow \mathbb{R}$ be the function given by$f(x) = |x - 2| + 3|x - 1| + ||x - 2| - 1|$.What is the number of points where $f$ is NOT differentiable?

For real numbers $a$ and $b$, consider the function $f : \mathbb{R} \rightarrow \mathbb{R}$ given by$f(x) = \begin{cases} -ax - b & \text{if } x < -1, \\ 5x + 1 & \text{if } -1 \leq x \leq 1, \\ a^2x + 3b & \text{if } x > 1. \end{cases}$How...

For a $2 \times 2$ matrix $A$, whose elements are real numbers, denote by $A^m$ the product $\underbrace{AA \cdots A}_{m \text{ times}}$, where $m$ is a positive integer. Define $x_0 = 0$, $x_1 = 1$, $x_n = x_{n-1} + x_{n-2}$, for all $n \g...

Let $r, l$ be two integers such that $r \geq l \geq 3$. What is the total number of functions$f : \{1, 2, \ldots, r\} \rightarrow \{1, 2, \ldots, r\}$such that $f(1), f(2), \ldots, f(l)$ are all distinct?

Suppose there are two boxes $B_1$ and $B_2$, each having 3 red and 4 black balls. One ball is drawn at random from $B_1$. If it is red, 4 red balls are put into $B_2$, otherwise 3 black balls are put into $B_2$. Then one ball is randomly dr...

Let $p(x)$ be a quadratic polynomial such that $p(1) = p(-1) = 0$. What is the coefficient of $x$ in $p(x)$?

Let $a_1, a_2, a_3, \ldots$ be a geometric progression of positive integers such that $a_1 = 3$ and $a_{n+2} - 2a_n = a_{n+1}$ for all positive integers $n$. What is the value of $a_1 + a_2 + a_3 + a_4 + a_5$?

Let $\mathcal{C}$ be the set of all the circles in a plane. If$\mathcal{R} = \{(C_1, C_2) \in \mathcal{C} \times \mathcal{C} \mid C_1 \text{ and } C_2 \text{ intersect}\}$,then which of the following statements is TRUE?

Consider the data of scores obtained by students in an examination. If the score of every student is increased by 2 marks, then which of the following statements is TRUE?

Let $l_1$ be the line joining $(1, 1, 1)$ and $(3, 1, 3)$ and let $l_2$ be the line joining $(0, 2, -1)$ and $(2, 0, 3)$. What is the angle between $l_1$ and $l_2$?

Consider the function $f : \mathbb{R} \rightarrow \mathbb{R}$ defined by $f(x) = \sin^2(7x) - \sin^2(5x)$. Which of the following statements is NOT TRUE?

Consider the points $A(4\hat{i} + \hat{j} + 3\hat{k})$, $B(2\hat{j})$ and $C(-4\hat{i} + 3\hat{j} - 3\hat{k})$. Which of the following statements is TRUE?

The three numbers: (number of protons, number of neutrons, the radius) characterize a nucleus. What is the value of $\dfrac{r_1}{r_2}$ for two nuclei characterized by $(1, 0, r_1)$ and $(4, 4, r_2)$?

An experimental study of the photoelectric effect involves a metal of work function $\phi_0$. What is the smallest wavelength of the incident photon to photoemit an electron of mass $m$ which has the same de Broglie wavelength as that of th...

Consider normal incidence of a monochromatic beam of photons of power $P$ on a flat surface. Of the incident beam, 10% gets absorbed, 10% gets transmitted, and the rest is reflected by the flat surface. If $c$ is the speed of light, what is...

An exotic spherical jellyfish has a bulk modulus $B$. Close to the surface of the sea (depth $d=0$), its radius is $R$. When it dives to a depth $d$ ($d \gg R$), its radius is reduced by $\Delta R > 0$. Given the density of the incompressib...

A long solenoid of initial radius $R_0$ is put in a region of uniform magnetic field $\mathbf{B}$ with the axis of the solenoid aligned along the magnetic field. The solenoid is a part of a closed circuit that has no initial current running...