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81
GATE BT 2024 | Question: 53
The value of the limit $\lim _{x \rightarrow \infty} \frac{x}{2} \ln \left(1+\frac{2024}{x}\right)$ is $\_\_\_\_\_\_\_\_$.
The value of the limit $\lim _{x \rightarrow \infty} \frac{x}{2} \ln \left(1+\frac{2024}{x}\right)$ is $\_\_\_\_\_\_\_\_$.
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82
GATE BT 2024 | Question: 54
Let $y(x)=x^2 \ln x$ for $x>0$, be a solution of $x^2 \frac{d^2 y}{d x^2}+4 y=\alpha x \frac{d y}{d x}$. Then the value of $\alpha$ is $\_\_\_\_\_\_\_\_\_$.
Let $y(x)=x^2 \ln x$ for $x>0$, be a solution of $x^2 \frac{d^2 y}{d x^2}+4 y=\alpha x \frac{d y}{d x}$. Then the value of $\alpha$ is $\_\_\_\_\_\_\_\_\_$.
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83
GATE BT 2024 | Question: 55
The absolute relative error in evaluating the integral $\int_0^1 x^2 d x$ by the trapezoidal rule with the step size $0.25$ is $\%$ $\_\_\_\_\_\_\_\_$ (rounded off to $2$ decimal places).
The absolute relative error in evaluating the integral $\int_0^1 x^2 d x$ by the trapezoidal rule with the step size $0.25$ is $\%$ $\_\_\_\_\_\_\_\_$ (rounded off to $2$...
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85
GATE BT 2024 | GA Question: 2
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 $x$ and not on $y$ depends only on $y$ and not on $x$ is a constant
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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86
GATE BT 2024 | GA Question: 3
Consider the following sample of numbers: \[ 9,18,11,14,15,17,10,69,11,13 \] The median of the sample is $13.5$ $14$ $11$ $18.7$
Consider the following sample of numbers:\[9,18,11,14,15,17,10,69,11,13\]The median of the sample is$13.5$$14$$11$$18.7$
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87
GATE BT 2024 | GA Question: 4
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 ₹ $5$ coins is $21 \%$ $14 \frac{2}{7} \%$ $10 \%$ $30 \%$
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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88
GATE BT 2024 | GA Question: 5
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 $79$ $81$ $9$ $83$
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$$8...
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92
GATE BT 2024 | GA Question: 9
A rectangular paper of $20 \mathrm{~cm} \times 8 \mathrm{~cm}$ is folded $3$ times. Each fold is made along the line of symmetry, which is perpendicular to its long edge. The perimeter of the final folded sheet (in $\mathrm{cm})$ is $18$ $24$ $20$ $21$
A rectangular paper of $20 \mathrm{~cm} \times 8 \mathrm{~cm}$ is folded $3$ times. Each fold is made along the line of symmetry, which is perpendicular to its long edge....
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93
GATE BT 2024 | GA Question: 10
The least number of squares to be added in the figure to make AB a line of symmetry is $6$ $4$ $5$ $7$
The least number of squares to be added in the figure to make AB a line of symmetry is$6$$4$ $5$ $7$
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97
GATE BT 2023 | GA Question: 9
The coefficient of $x^{4}$ in the polynomial $(x-1)^{3}(x-2)^{3}$ is equal to __________. $33$ $-3$ $30$ $21$
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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101
GATE BT 2023 | Question: 5
C-value paradox refers to the lack of correlation between genome size and genetic complexity of an organism the presence of genetic sequences that propagate themselves within a genome the coexistence of multiple alleles at a genetic locus the concept that two or more genes may have the same function
C-value paradox refers tothe lack of correlation between genome size and genetic complexity of an organismthe presence of genetic sequences that propagate themselves with...
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103
GATE BT 2023 | Question: 8
Which one of the following is required for the development of B-cells in the bone marrow? Stromal cells Dendritic cells Kupffer cells NK cells
Which one of the following is required for the development of B-cells in the bone marrow?Stromal cellsDendritic cellsKupffer cellsNK cells
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104
GATE BT 2023 | Question: 9
Which one of the following statements is TRUE about leghemoglobin? It binds oxygen to protect nitrogenase It binds hemoglobin to protect oxygenase It binds oxygen to protect hydrogenase It binds oxygen to protect oxygenase
Which one of the following statements is TRUE about leghemoglobin?It binds oxygen to protect nitrogenaseIt binds hemoglobin to protect oxygenaseIt binds oxygen to protect...
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106
GATE BT 2023 | Question: 11
Intracellular proteins are targeted for proteolytic degradation in proteasomes upon conjugation with ubiquitin integrin peptidase calreticulin
Intracellular proteins are targeted for proteolytic degradation in proteasomes upon conjugation with ubiquitinintegrinpeptidasecalreticulin
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107
GATE BT 2023 | Question: 12
In ELISA, which of the following enzymes are conjugated to antibodies for detection of the analyte? P. Alkaline phosphatase Q. Trypsinase R. Horseradish peroxidase S. Amylase $\mathrm{P}$ and $\mathrm{R}$ $\text{P}$ and $\text{Q}$ $\text{Q}$ and $\text{S}$ $\mathrm{R}$ and $\mathrm{S}$
In ELISA, which of the following enzymes are conjugated to antibodies for detection of the analyte?P. Alkaline phosphataseQ. TrypsinaseR. Horseradish peroxidaseS. Amylase...
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108
GATE BT 2023 | Question: 13
In hybridoma technology, which one of the following enzymes is absent in the myeloma cells that are used for monoclonal antibody production? Hypoxanthine-guanine phosphoribosyltransferase Alanine aminotransferase Triose phosphate isomerase Glycosyltransferase
In hybridoma technology, which one of the following enzymes is absent in the myeloma cells that are used for monoclonal antibody production?Hypoxanthine-guanine phosphori...
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109
GATE BT 2023 | Question: 14
Which of the following methods are used for detection of DNA and RNA, respectively? Southern and Northern blotting Southern and Western blotting Northern and Southern blotting Northern and Western blotting
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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111
GATE BT 2023 | Question: 16
Which one of the following programs is used for finding distantly related (or remote) protein homologs? BLASTN BLASTX PSI-BLAST TBLASTX
Which one of the following programs is used for finding distantly related (or remote) protein homologs?BLASTNBLASTXPSI-BLASTTBLASTX
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112
GATE BT 2023 | Question: 17
Which one of the following is used for global alignment of two protein sequences? Chou-Fasman method Garnier-Osguthorpe-Robson (GOR) method Needleman-Wunsch algorithm Smith-Waterman algorithm
Which one of the following is used for global alignment of two protein sequences?Chou-Fasman methodGarnier-Osguthorpe-Robson (GOR) methodNeedleman-Wunsch algorithmSmith-W...
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113
GATE BT 2023 | Question: 20
Fabry disease in humans is a X-linked disease. The probability (in percentage) for a phenotypically normal father and a carrier mother to have a son with Fabry disease is _________.
Fabry disease in humans is a X-linked disease. The probability (in percentage) for a phenotypically normal father and a carrier mother to have a son with Fabry disease is...
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114
GATE BT 2023 | Question: 21
The value of $\lim _{x \rightarrow 0}\left[\frac{\cos 2 x-\cos 4 x}{x^{2}}\right]$ is ___________.
The value of $\lim _{x \rightarrow 0}\left[\frac{\cos 2 x-\cos 4 x}{x^{2}}\right]$ is ___________.
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115
GATE BT 2023 | Question: 22
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 __________.
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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116
GATE BT 2023 | Question: 23
Two fair six-sided dice are thrown. The probability of getting $12$ as the product of the numbers on the dice (rounded off to two decimal places) is __________.
Two fair six-sided dice are thrown. The probability of getting $12$ as the product of the numbers on the dice (rounded off to two decimal places) is __________.
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117
GATE BT 2023 | Question: 24
If $7^{3 x}=216$, the value of $7^{-x}$ (rounded off to three decimal places) is _____________.
If $7^{3 x}=216$, the value of $7^{-x}$ (rounded off to three decimal places) is _____________.
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118
GATE BT 2023 | Question: 25
The distance between the two points of intersection of $x^{2}+y=7$ and $x+y=7$ (rounded off to two decimal places) is ___________.
The distance between the two points of intersection of $x^{2}+y=7$ and $x+y=7$ (rounded off to two decimal places) is ___________.
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