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121
If $f(x)=\frac{\sin x+\cos x}{\sin x-\cos x}$, the value of $f^{\prime}(x)$ at $x=0$ is ___________.
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122
If $A=\left(\begin{array}{ll}1 & 2 \\ 3 & 5\end{array}\right)$, the value of $\left|A^{4}+3 A^{2}-5 A+6 I\right|$ is _____________.
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123
A series $(\mathrm{S})$ is given as $\mathrm{S}=1+3+5+7+9+\ldots \ldots$The sum of the first $50$ terms of $\mathrm{S}$ is __________.
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124
Which of the following methods are used for detection of DNA and RNA, respectively?Southern and Northern blotting Southern and Western blottingNorthern and Southern blott...
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125
If $f(2)=5$ and $(f(x))(f(x+1))=3$ for all real values of $x$, the value of $f(10)$ is ____________.
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126
If there are three unrooted trees for four protein sequences, the number of rooted trees for the same number of sequences is _______________.
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127
Which of the following statement(s) is(are) TRUE about induced pluripotent stem cells?They can self-renewThey require specific signals to maintain their stemnessThey cann...
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128
The coefficient of $x^{4}$ in the polynomial $(x-1)^{3}(x-2)^{3}$ is equal to __________.$33$$-3$$30$$21$
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130
If $7^{3 x}=216$, the value of $7^{-x}$ (rounded off to three decimal places) is _____________.
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1 answer
131
The degree of reduction of lactic acid $(\text{C}_{3} \text{H}_{6} \text{O}_{3})$ is __________.
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132
The type of nucleic acid present in $\lambda$-phage isDouble stranded $\text{DNA}$Single stranded circular $\text{DNA}$Single stranded $\text{DNA}$Single stranded $\text{...
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1 answer
133
The binding free energy of a ligand to its receptor protein is $-11.5 \; \text{kJ mol}^{-1}$ at $300 \; \text{K.}$ What is the value of the equilibrium binding constant?U...
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135
The specific growth rate of a yeast having a doubling time of $0.693 \; \text{h}$ (rounded off to nearest integer) is ________ $\text{h}^{-1}.$
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136
Assuming independent assortment and no recombination, the number of different combinations of maternal and paternal chromosomes in gametes of an organism with a diploid n...
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138
–1 votes
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143
For a pure species, the slope of the melting line$$\frac{dP}{dT} \; \text{at} \; -2 \; ^{\circ} \textrm{C} \; \text{is} -5.0665 \times 10^{6} \text{Pa K}^{-1}.$$The diff...
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146
What is the order of the differential equation given below?$\dfrac{d^{2}y}{dx^{2}} – 6x = 3x^{4} – 2x^{3} + 2$$1$$2$$3$$4$
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149
Match the media component used in mammalian cell culture (Column I) with its respective role (Column II).$$\begin{array} {lll} \textbf{Column I} & & \textbf{Column II} \\...
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150
The maximum value of the function $f(x) = 3x^{2} – 2x^{3}$ for $x>0$ is ________.
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152
The probability density function of a random variable $X$ is $p(x) = 2e^{-2x}.$ The probability $P(1 \leq X \leq 2)$ (rounded off to two decimal places) is _________.
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153
Match the media component (Column I) with its role (Column II).$$\begin{array} {ll} \textbf{Column I} & \textbf{Column I} \\ \text{P. Sucrose} & \text{1. Anti-foam agen...
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156
Which of the following is $\text{NOT}$ used for generating an optimal alignment of two nucleotide sequences?Gap penaltiesMatch scoresMismatch scoresNucleotide composition...
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159
Which of the following statements about reversible enzyme inhibitors are $\text{CORRECT}?$Uncompetitive inhibitors bind only to the enzyme-substrate complexNon-competitiv...