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1
The solution of the differential equation $\frac{d y}{d x}=y+e^{-x}$ that satisfies $y(0)=-\frac{1}{2}$ is $\_\_\_\_\_\_\_$.$-\frac{1}{2} e^{-\frac{x}{2}}$$-\frac{1}{2} e...
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2
During normal embryonic development of the mice paw, elimination of cells from the inter-digital space is due to $\_\_\_\_\_\_\_$.apoptosismeiosismutagenesisnecrosis
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4
If a denatured protein of human origin is injected into a rabbit, antibodies generated will recognize the $\_\_\_\_\_\_$ structure of the protein.primarysecondarytertiary...
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5
In adsorption chromatography, the adsorption of uncharged solute molecules onto a silica-based stationary phase is by $\_\_\_\_\_\_\_$.covalent bondselectrostatic interac...
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6
A value of $k$ for which the linear equations $(k-1) x+3 y=0$ and $2 x+k y=0$ have a non-zero solution is $\_\_\_\_\_\_\_$.$1$$2$$3$$4$
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7
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9
The decimal reduction time of a microbe during sterilization at $120{ }^{\circ} \mathrm{C}$ with a first order thermal death rate constant of $1 \mathrm{~min}^{-1}$ will ...
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10
The number of coins of ₹ $1$, ₹ $5$, and ₹ $10$ denominations that a person has are in the ratio $5: 3: 13$. Of the total amount, the percentage of money in ₹ $5$...
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14
If the rate at which E. coli divides is $0.5 \mathrm{~h}^{-1}$, then its doubling time is $\_\_\_\_\_\_\_$ $\text{h}$.
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15
The relationship that involves the exchange of nutrients between two different species for their mutual growth is called $\_\_\_\_\_\_\_\_$antagonismcommensalismparasitis...
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16
An element that is present in a nucleotide but not in a nucleoside is $\_\_\_\_\_\_\_$carbonnitrogenoxygenphosphorous
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17
If two distinct non-zero real variables $x$ and $y$ are such that $(x+y)$ is proportional to $(x-y)$ then the value of $\frac{x}{y}$depends on $x y$depends only on $x$ an...
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18
$2$-mercaptoethanol breaks the $\_\_\_\_\_\_\_$ covalent bond between light and heavy chains of an immunoglobulin molecule.$\text{C-N}$ $\text{N-O}$$\text{S-C}$$\text{S-S...
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19
Which one of the following bacteriophages has a genome composed of single stranded circular DNA?$\emptyset \text{X} 174$$\lambda$$\text{T}5$$\text{P}1$
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20
Krebs $\text{(TCA)}$ cycle is $\_\_\_\_\_\_$ pathway.only an anaboliconly a catabolic an amphibolica pyogenic
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21
All pseudogenes DO NOT code for a $\_\_\_\_\_\_\_$.protein with original functionprotein with altered functionRNA with coding sequenceRNA with regulatory function
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22
The evolution of wings in bats and insects is an example of $\_\_\_\_\_\_\_$ evolution.convergentdivergentneutralparallel
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26
The least number of squares to be added in the figure to make AB a line of symmetry is$6$$4$ $5$ $7$
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27
The transfer function of a process is $G(s)=\frac{K_{p}}{\tau_{p} s+1}$, where $K_{p}$ is the gain and $\tau_{p}$ is the time constant. This is a $\_\_\_\_\_\_$ process.f...
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28
Mendel's 'law of segregation' applies to the segregation of $\_\_\_\_\_\_\_\_$ during gamete formation.mitochondrial genesalleles of a genelinked genes on the same chromo...
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29
A rectangular paper of $20 \mathrm{~cm} \times 8 \mathrm{~cm}$ is folded $3$ times. Each fold is made along the line of symmetry, which is perpendicular to its long edge....
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31
The degree of reduction (reductance) for oxalic acid $\left(\mathrm{C}_2 \mathrm{H}_2 \mathrm{O}_4\right)$ is $\_\_\_\_\_\_$.
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32
Co-translational translocation of proteins is observed in $\_\_\_\_\_\_\_$.endoplasmic reticulumGolgi complexmitochondriaperoxisomes
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38
The value of the series $1+\sin x+\cos ^{2} x+\sin ^{3} x+\cdots$ at $x=\frac{\pi}{4}$ is $\_\_\_\_\_\_\_$.$\frac{1}{\sqrt{2}+1}$$\frac{\sqrt{2}}{\sqrt{2}+1}$$\frac{1}{\s...
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40
For positive non-zero real variables $p$ and $q$, if\[\log \left(p^{2}+q^{2}\right)=\log p+\log q+2 \log 3,\]then, the value of $\frac{p^{4}+q^{4}}{p^{2} q^{2}}$ is$79$$8...