# Recent activity 1
For a discrete random variable $X$, $\textit{ran}(X)=\{0,1,2,3\}$ and the cumulative probability $F(X )$ is shown below: $\begin{array}{|c|c|c|c|c|} \hline X & 0 & 1 & 2 & 3 \\ \hline F(X) & 0.5 & 0.6 & 0.8 & 1.0 \\ \hline \end{array}$The mean value of $X$ is ___________
2
What are the eigenvalues of the following matrix? $\begin{bmatrix} 1 & 1 \\ -2 & 4 \end{bmatrix}$ $2$ and $3$ $-2$ and $3$ $2$ and $-3$ $-2$ and $-3$
3
Match the compounds in $\text{Group I}$ with the correct entries in $\text{Group II}$ ... $\text{P-5, Q-2, R-1, S-3}$ $\text{P-4, Q-2, R-1, S-3}$ $\text{P-4, Q-5, R-3, S-1}$
4
How many rooted and unrooted phylogenetic trees, respectively, are possible with four different sequences? $3$ and $15$ $15$ and $3$ $15$ and $12$ $12$ and $3$
5
An isolated population on an island has the following genotypic frequencies: $\begin{array}{|c|c|c|c|} \hline \textrm{Genotype} & AA & Aa & aa \\ \hline \textrm{Frequency} & 0.3 & 0.4 & 0.3 \\ \hline \end{array}$ Assuming that there are only two alleles ($A$ and $a$) for the gene, the genotypic frequency of $AA$ in the next generation will be __________
6
The interaction between an antigen $(Ag)$ and a single-chain antibody $(Ab)$ was studied using Scatchard analysis. The result is shown below. The affinity of interaction and the total concentration of antibody, respectively, can be determined from slope and $Y$-intercept $Y$-intercept and slope $X$-intercept and slope slope and $X$-intercept
7
$\begin{array}{cc} 2x_1+ x_2 = 35 \\ 5x_1 + bx_2 = 7.5 \end{array}$ The system of linear equations in two variables shown above will have infinite solutions, if and only if, $b$ is equal to _________
8
Consider the following infinite series: $1+ r+r^2 +r^3+ \dots \dots \infty$ If $r = 0.3$, then the sum of this infinite series is ____________
9
Choose the appropriate pair of primers to amplify the following DNA fragment by the polymerase chain reaction (PCR). $\textrm{5' - GACCTGTGG- - - - - - - - - - - - - - - - - - ATACGGGAT - 3'}$ $\textrm{3' - CTGGACACC - - - - - - - - - - - - - - - - - - TATGCCCTA - 5'}$ ... $P$ and $R$ $P$ and $S$ $Q$ and $R$ $Q$ and $S$
10
Which one of the following graphs represents uncompetitive inhibition?
11
Which one of the following amino acids has the highest probability to be found on the surface of a typical globular protein in aqueous environment? Ala Val Arg Ile
12
A single subunit enzyme converts $420$ $\mu$moles of substrate to product in one minute. The activity of the enzyme is ________ $\times 10^{-6}$ Kalal.
13
Which one of the following organisms is used for the determination of phenol coefficient of a disinfectant? Salmonella typhi Escherichia coli Candida albicans Bacillus psychrophilus
14
ABO blood group antigens in humans are differentiated from each other on the basis of sialic acid lipids spectrin glycoproteins
15
Anergy refers to nitochondrial dysfunction allergy to environmental antigens unresponsiveness to antigens a state of no energy
16
In DNA sequencing reactions using the chain termination method, the ratio of ddNTPs to dNTPs should be $0$ $< 1$ $1$ $>1$
17
How many different protein sequences of $100$ residues can be generated using $20$ standard amino acids? $100^{20}$ $100 \times 20$ $20^{100}$ $100! \times 20!$
18
How many $3$-tuples are possible for the following amino acid sequence? MADCMWDISEASE $4$ $5$ $11$ $12$
19
Which one of the following relations holds true for the specific growth rate $(\mu)$ of a microorganism in the death phase? $\mu=0$ $\mu<0$ $\mu=\mu_{\text{max}}$ $0<\mu<\mu_{\text{max}}$
20
Identify the file format given below: $>$P$1$; JMFD Protein X – Homo sapiens MKALTARQQEVFDLIRDHISRTLRQQGDWL GDE FASTA NBRF GCG
21
Which one of the following is INCORRECT about a typical apoptotic cell? Phosphatidylserine is presented on the outer cell surface Cytochrome c is released from mitochondria Mitochondrial membrane potential does not change Annexin-V binds to the cell surface
22
Production of monoclonal antibodies by hybridoma technology requires splenocytes osteocytes hepatocytes thymocytes
23
Which one of the following features is NOT required in a prokaryotic expression vector? $\textit{oriC}$ Selection marker CMV promoter Ribosome binding site
24
The determinant of the matrix $\begin{bmatrix} 3 & 0 & 0 \\ 2 & 5 & 0 \\ 6 & -8 & -4 \end{bmatrix}$ is __________
25
Which one of the following is NOT a product of denitrification in Pseuadomonas? $N_2$ $N_2O$ $NO_2^-$ $NH_4^+$
26
The Cytokinetic organelle in plant cells is centriole Phragmoplast proplastid chromoplastid
27
Based on the heavy chain, which one of the following antibodies has multiple subtypes? IgM IgD IgE IgG
28
Which one of the following is a second generation genetically engineered crop? Bt brinjal Roundup soyabean Golden rice Bt rice
29
Levinthal’s paradox is related to protein secretion protein degradation protein folding protein trafficking
30
Which one of the following complement proteins is the initiator of the membrane attack complex $C3a$ $C3b$ $C5a$ $C5b$
31
Humpty Dumpty sits on a all every day while having lunch. The wall sometimes breaks. A person sitting on the all falls if the wall breaks. Which one of the statements below is logically valid and can be inferred from the above sentences? Humpty Dumpty always ... sometimes while having lunch Humpty Dumpty never falls during dinner When Humpty Dumpty does not sit on the wall, the wall does not break
32
A cube of side $3$ units is formed using a set of smaller cubes of side $1$ unit. Find the proportion of the number of faces of the smaller cubes visible to those which are NOT visible. $1:4$ $1:3$ $1:2$ $2:3$
33
Fill in the missing value
34
Read the following paragraph and choose the correct statement. Climate change has reduced human security and threatened human well being. An ignored reality of human progress is that human security largely depends upon environmental security. ... contradictory to environmental security. Human security is contradictory to environmental security. Human progress depends upon environmental security.
35
The following question presents a sentence. part of which is underlined. Beneath the sentence you find four ways of phrasing the underlined part. Following the requirements of the standard written English, select the answer that produces the most effective sentence. Tuberculosis, together ... causes of death has the rank of one of the leading causes of death are one of the leading causes of death
36
If $\log_x (5/7) = -1/3$, then the value of $x$ is $343/125$ $125/343$ $-25/49$ $-49/25$
37
Operators $\square$, $\lozenge$ and $\rightarrow$ are defined by: $a \: \square \: b = \dfrac{a-b}{a+b}$; $a \: \lozenge \: b = \dfrac{a+b}{a-b}$; $a \rightarrow b = ab$. Find the value of $(66 \: \square \: 6) \rightarrow (66 \: \lozenge \: 6)$. $-2$ $-1$ $1$ $2$