IAT (IISER) 2024

Which of the following is NOT derived from the epidermal cell layer in plants?

Which one of the following statements is correct?

Polymerase chain reaction (PCR) is used to amplify a gene of interest (GOI). If, after 30 cycles of PCR, 1 billion copies of GOI are produced, approximately how many copies of GOI were present at the end of the $20^{\text {th }}$ cycle?

Which of the following plasmid vectors can be used for cloning of a gene, with restriction enzymes BamHI and EcoRI, and ampicillin-containing nutrient agar for selection? [Ori - origin of replication; $\mathrm{Amp}^R$ - gene for ampicillin ...

Which of the following statements is correct about the oxygen $\left(\mathrm{O}_2\right)$ dissociation curves A and C relative to curve B ?

Which of the following statements about meiosis in sexually reproducing plants is INCORRECT?

\(\text { Match the enzymes in Column I with the cellular compartments in Column II. }\)








Column I



Column II





P

Succinate dehydrogenase

i

Cytoplasm





Q

Pyruvate dehydrogenase

ii

Inner mitochondrial membrane





R

...

Which of the following is routinely performed to detect typhoid?

\(\text { Match the list of conditions with the list of affected physiological processes. }\)


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.tg td{border-color:black;border-style:solid;border-width:1px;font-family:Arial, sans-serif...

Which of the following proteins plays a direct role in muscle contraction?

What will be the sequence of RNA synthesized using the following DNA template strand?
$5^{\prime}$-GTCTAGGCTTCTC- $3^{\prime}$

A population with $N=400$ in asymptote at $K=500$ individuals, $K$ being the carrying capacity. Assuming the intrinsic rate of natural increase $(r)$ to be 0.01 , what would be the population browth rate ( $\mathrm{dN} / \mathrm{dt}$ )?

Which of the following graphs represents the correct relationship between light intensity (Xaxis) and the rate of photosynthesis ( $Y$-axis)?

The following pedigree diagram shows the inheritance of a rare genetic disorder (filled shapes depict affected individuals).

Which of the following is the most likely pattern of inheritance of the disorder?

Two species of a flowering plant, $P(2 n=20$ chromosomes) and $Q$ ( $2 n=30$ chromosomes) are reciprocally crossed with each other as male or female as shown below to produce F1 seeds. Which of the following seed tissues from both the F1 se...

The minimum energy needed to remove an electron from a metal corresponds to a wavelength of 500 nm . What is the total kinetic energy of all the photoelectrons ejected per second when the entire radiation from a 100 Watt bulb with a wavelen...

Which one of the following statements is correct about $\mathrm{N}_2, \mathrm{CO}$, and $\mathrm{NO}^{+}$?

According to the VSEPR theory, what are the most stable shapes of $X_4 F_4$ and $\mathrm{SF}_4$, respectively?

For a reaction $R \rightarrow P$ with a rate constant of $3 \times 10^{-3} \mathrm{~mol} \mathrm{~L}^{-1} \mathrm{~s}^{-1}$, which one of the following plots is correct? (Given [R] $]_0$ is the initial concentration of $R$ and $[R]$ is the ...

\(\text { What are the products } \mathrm{N} \text { and } \mathrm{Q} \text { in the following reaction sequences? }\)

Which of the following complexes exhibit(s) magnetic moment close to 2 BM ?

$$
\left[\mathrm{Fe}\left(\mathrm{H}_2 \mathrm{O}\right)_6\right]\left(\mathrm{NO}_3\right)_2, \mathrm{~K}_2\left[\mathrm{MnCl}_4\right], \mathrm{K}_4\left[\mathrm...

The following complex ions absorb in the ultraviolet-visible region of light. Which one of these shows violet colour?
$$ \left[\mathrm{CoCl}\left(\mathrm{NH}_3\right)_5\right]^{2+},\left[\mathrm{Co}\left(\mathrm{H}_2 \mathrm{O}\right)\left(...

Consider the following data for KCl solution at a particular temperature. What is the value of the limiting molar conductivity?


$$ \begin{array}{|c|c|} \hline \text { Concentration }\left(\mathrm{mol} \mathrm{~L}^{-1}\right) & \text { Mol...

\(\text { What is the correct order of acidity for the following compounds? }\)

\(\text { What are } X \text { and } Z \text { in the following sequence of reactions? }\)

\(\text { What are the correct structural descriptions for } M \text { and } N \text { ? }\)

\(\text { What is the relationship between the structures depicted below? }\)

Which one of these plots correctly describes the variation of osmotic pressure ( $\Pi$ ) of a fixed amount of a solute against the volume $(\mathrm{V})$ of the solution at a fixed temperature?

If an element with $Z=120$ is discovered, then which group of elements will it belong to?

Consider an exothermic reaction: $2 \mathrm{~A}(\mathrm{~s}) \rightarrow \mathrm{B}(\mathrm{s})+\mathrm{C}(\mathrm{g})+\mathrm{D}(\mathrm{g})$. The correct statement about the reaction is

Let $f: \mathbf{R} \rightarrow \mathbf{R}$ be a strictly decreasing function with $|f(t)|<\pi / 2$ for all $t \in \mathbf{R}$. Let $g:[0, \pi] \rightarrow$ R be a function defined by $g(t)=\sin (f(t))$. Which one of the following statements...

What is the largest area of a rectangle, whose sides are parallel to the coordinate axes, that can be inscribed under the graph of the curve $y=1-x^2$ and above the $x$-axis?

What is the value of ${ }^{23} C_0+{ }^{23} C_2+{ }^{23} C_4+\cdots+{ }^{23} C_{22}$ ?

Consider the following subset of the $X Y$-plane.
\(S=\left\{\left(|z-\mathrm{i} z|,|z|^2\right): \quad z \text { is a complex number }\right\}\)
Which one of the following statements is correct?

Let $I=\int_{e^{-\pi / 2}}^{e^{\pi / 2}}\left(\sin ^2(\log (x))+\sin \left(\log \left(x^2\right)\right)\right) d x$. What is the value of $I$ ?

Consider the differential equation $\cos (y) \frac{d y}{d x}+\frac{1}{x} \sin (y)=x, \quad(x>0)$; given that, $y=\frac{\pi}{2}$ at $x=\sqrt{3}$. Which one of the following is the value of $y$ at $x=\sqrt{\frac{3}{2}}$ ?

Let $f: Q \rightarrow Q$ be a function such that $f(x+y)=f(x)+f(y)$ for all $x, y \in \mathbf{Q}$, and $f(1)=$ 10. Which one of the following statements is Correct?

Let $f, g: R \rightarrow R$ be functions. If $g$ is continuous, then which one of the following cases implies that $f$ is continuous?

A ship sets off on a voyage with three engines, labelled $A, B$, and $C$, which work independently. The ship can complete the voyage only if at least two of these engines keep working. The probability that engine $A$ breaks down is $1 / 4$,...

In the given figure, the angles $\angle B A Q=\angle C P Q=\angle C B Q=\frac{\pi}{2}$; and the lengths $Q A=3$ units, $A B=$ 4 units, and $B C=1$ unit. What is the length of $P Q$ ?

Let $a_1, a_2, a_3, \ldots$ be a sequence of real numbers. Let $s_n=a_1+a_2+\cdots+a_n$. If $2 s_n=$ $n\left(c+a_n\right)$ for some real number. for some real number $c$ and for all $n=1,2,3, \ldots$, then which one of the following stateme...

Let $M$ be the set of all $3 \times 3$ matrices with real entries. Consider the relation $R$ on $M$ given by $R=\{(A, B) \in M \times M: \operatorname{det}(A-B)$ is an integer $\}$. Which one of the following statements is Correct?

Let $A$ be the set of points in the $X Y$-plane which are equidistant from $P(-1,0)$ and $Q(1,0)$. Let $B$ be the set of points in the $X Y$-plane which are equidistant from $A$ and $Q$. If $(5, y)$ is a point in $B$, then what is the value...

Consider the following lines in the $X Y$-plane:
\(L_1: 5 x-2 y=1\)
$L_2$ : The line passing through $(0,1)$ and $(100,101)$,
$L_3$ : The line passing through $(1,11)$ and parallel to the vector $-\hat{\imath}+2 \hat{\jmath}$.
Let $A=\lef...

Consider the lines $L_1$ and $L_2$ given below:
$$ \begin{gathered} L 1: x=2+\lambda, y=3+2 \lambda, z=4+3 \lambda \\ L 2: x=4+\lambda, y=4, z=4+\lambda \end{gathered} $$
If $(2,3,4)$ is the point of $L_1$ that is closest to $L_2$, then whi...

Consider the circuit diagram as shown in the figure. The source has a voltage $V=V_0 \sin \omega t$. Both the resistors $A$ and $B$ have the same resistance. The capacitor and the inductor have capacitance $C$ and inductance $L$, respective...

Atomic masses of two oxygen isotopes ${ }_8^{16} \mathrm{O}$ and ${ }_8^{18} \mathrm{O}$ are 15.99491 u and 17.99916 u , respectively, where $u$ is the atomic mass unit. Masses of protom and neutron are given by 1.00727 u and I .00866 u , r...

Consider the shown circuit. The capacitors $C_1$ and $C_2$ have capacitances $2 \mu \mathrm{~F}$ and $8 \mu \mathrm{~F}$, respectively. The switch can connect point $X$ to either $Y$ or $Z$. Initially $X Y$ is connected until the capacitor ...

On a circular track, two cyclists, Abhijit and Vani, start moving in opposite directions from a point. Abhijit moves with a constant speed. Vani starts with a constant acceleration from rest. They meet again on the track with the same speed...

Two monochromatic sources emit light at wavelengths $\lambda$ and $\lambda / 2$. The stopping potentials for a photosensitive material using these two sources are found to be 1 V and 3 V , respectively. What is the work function of the mate...