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Recent questions tagged gate2018

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GATE2018-GA-9
If $x^2 + x – 1 = 0$ what is the value of $x^4 + \dfrac{1}{x^4}$? $1$ $5$ $7$ $9$
If $x^2 + x – 1 = 0$ what is the value of $x^4 + \dfrac{1}{x^4}$?$1$$5$$7$$9$
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GATE2018-GA-7
A set of $4$ parallel lines intersect with another set of $5$ parallel lines. How many parallelograms are formed? $2$0$ $48$ $60$ $72$
A set of $4$ parallel lines intersect with another set of $5$ parallel lines. How many parallelograms are formed?$2$0$$48$$60$$72$
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GATE2018-GA-3
For $0 \leq x \leq 2\pi$, $\sin x$ and $\cos x$ are both decreasing functions in the interval __________. $\bigg( 0, \dfrac{\pi}{2} \bigg) \\$ $\bigg( \dfrac{\pi}{2}, \pi \bigg) \\$ $\bigg( \pi, \dfrac{3\pi}{2} \bigg) \\$ $\bigg(\dfrac{3 \pi}{2}, 2 \pi \bigg)$
For $0 \leq x \leq 2\pi$, $\sin x$ and $\cos x$ are both decreasing functions in the interval __________.$\bigg( 0, \dfrac{\pi}{2} \bigg) \\$$\bigg( \dfrac{\pi}{2}, \pi ...
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GATE2018-GA-4
The area of an equilateral triangle is $\sqrt{3}$. What is the perimeter of the triangle? $2$ $4$ $6$ $8$
The area of an equilateral triangle is $\sqrt{3}$. What is the perimeter of the triangle?$2$$4$$6$$8$
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GATE2018-GA-2
In spite of being warned repeatedly, he failed to correct his _________ behaviour." The word that best fills the blank in the above sentence is rational reasonable errant good
In spite of being warned repeatedly, he failed to correct his _________ behaviour."The word that best fills the blank in the above sentence isrationalreasonableerrantgood...
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GATE2018-GA-1
"When she fell down the __________, she received many __________ but little help." The words that best fill the blanks in the above sentence are stairs, stares stairs, stairs stares, stairs stares, stares
"When she fell down the __________, she received many __________ but little help."The words that best fill the blanks in the above sentence arestairs, staresstairs, stair...
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GATE2018-50
At the end of a batch culture, glucose solution is added at a flow rate of $200 \: ml/h$. If the culture volume after $2$ h of glucose addition is $1000$ ml, the initial culture volume (in ml) is _________
At the end of a batch culture, glucose solution is added at a flow rate of $200 \: ml/h$. If the culture volume after $2$ h of glucose addition is $1000$ ml, the initial ...
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GATE2018-49
Yeast converts glucose to ethanol and carbon dioxide by glycolysis as per the following reaction: $C_6H_{12}O_6 \to 2C_2H_5OH + 2CO_2$Assuming complete conversion, the amount of ethanol produced (in $g$) from $200 \: g$ of glucose is (up to two decimal places) ____________
Yeast converts glucose to ethanol and carbon dioxide by glycolysis as per the following reaction: $$C_6H_{12}O_6 \to 2C_2H_5OH + 2CO_2$$Assuming complete conversion, the ...
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GATE2018-48
Mammalian cells in active growth phase were seeded at a density of $1 \times 10^5$ cells/ml. After $72$ hours, $1 \times 10^6$ cells/ml were obtained. The population doubling time of the cells in hours is (up to two decimal places) ________________
Mammalian cells in active growth phase were seeded at a density of $1 \times 10^5$ cells/ml. After $72$ hours, $1 \times 10^6$ cells/ml were obtained. The population doub...
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GATE2018-43
If $1+r + r^2+ r^3 +\dots \infty = 1.5$, then, $1 + 2r + 3r^2 + 4r^3 + \dots \infty = $ (up to two dcimal places) ________
If $1+r + r^2+ r^3 +\dots \infty = 1.5$, then, $1 + 2r + 3r^2 + 4r^3 + \dots \infty = $ (up to two dcimal places) ________
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GATE2018-41
Calculate the following integral (up to two decimal places) $\displaystyle \int_0^1 (x + 3)(x + 1)dx = \text{ ___________}$
Calculate the following integral (up to two decimal places)$$\displaystyle \int_0^1 (x + 3)(x + 1)dx = \text{ ___________}$$
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GATE2018-45
An aqueous solution containing $6.8$ mg/L of an antibiotic is extracted with amyl acetate. If the partition coefficient of the antibiotic is $170$ and the ratio of water to solvent is $85$, then the extraction factor is ________
An aqueous solution containing $6.8$ mg/L of an antibiotic is extracted with amyl acetate. If the partition coefficient of the antibiotic is $170$ and the ratio of water ...
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GATE2018-39
Match the industrial products mentioned in Group I with their producer organisms in Group II ... $\text{P-2, Q- 1, R- 4, S-3}$ $\text{P- 3, Q- 1, R- 4, S-2}$
Match the industrial products mentioned in Group I with their producer organisms in Group II$\begin{array}{|l|l|l|l|} \hline & \textbf{Group I} && \textbf{Group II} \\ \h...
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GATE2018-38
A pedigree of an inheritable disease is shown below. What type of inheritance does the disease follow? Autosomal dominant X-linked dominant X-linked recessive Autosomal recessive
A pedigree of an inheritable disease is shown below.What type of inheritance does the disease follow?Autosomal dominantX-linked dominantX-linked recessiveAutosomal recess...
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GATE2018-34
Which of the following are true about bacterial superoxide dismutase? Present in obligate aerobes Present in facultative anaerobes Present in aerotolerant anaerobes Absent in obligate aerobes P and Q only P, Q and R only P and R only Q and S only
Which of the following are true about bacterial superoxide dismutase?Present in obligate aerobesPresent in facultative anaerobesPresent in aerotolerant anaerobesAbsent in...
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GATE2018-30
Which one of the following amino acids is catalyzed by activated macrophages to produce reactive nitrogen species? Arginine Asparagine Cysteine Histidine
Which one of the following amino acids is catalyzed by activated macrophages to produce reactive nitrogen species?ArginineAsparagineCysteineHistidine
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GATE2018-28
Match the classes of RNA molecules in $\text{Group I}$ with their functions in $\text{Group II}$ ... $\text{P-1, Q-4, R-5, S-2}$ $\text{P-4, Q-1, R-2, S-5}$
Match the classes of RNA molecules in $\text{Group I}$ with their functions in $\text{Group II}$.$\begin{array}{|l|l|l|l|} \hline & \text{Group I} && \text{Group II} \\ ...
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GATE2018-22
The variable $z$ has a standard normal distribution. If $P(0 \leq z \leq 1)= 0.34$ then $P(z^2 > 1)$ is equal to (up to two decimal places) ____________
The variable $z$ has a standard normal distribution. If $P(0 \leq z \leq 1)= 0.34$ then $P(z^2 1)$ is equal to (up to two decimal places) ____________
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GATE2018-21
The determinant of the matrix $\begin{pmatrix} 4 & -6 \\ -3 & 2 \end{pmatrix}$ is _________
The determinant of the matrix $\begin{pmatrix} 4 & -6 \\ -3 & 2 \end{pmatrix}$ is _________
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