Recent questions tagged gate2018

A set of $4$ parallel lines intersect with another set of $5$ parallel lines. How many parallelograms are formed?$20$$48$$60$$72$

If $x^2 + x – 1 = 0$ what is the value of $x^4 + \dfrac{1}{x^4}$?$1$$5$$7$$9$

To pass a test, a candidate needs to answer at least $2$ out of $3$ questions correctly. A total of $6,30,000$ candidates appeared for the test. Question A was correctly ...

An automobile travels from city A to city B and returns to city A by the same route. The speed of the vehicle during the onward and return journeys were constant at $60$ ...

In a detailed study of annual crow births in India, it was found that there was relatively no growth during the period $2002$ to $2004$ and a sudden spike from $2004$ to ...

Arrange the following three-dimensional objects in the descending order of their volumes:A cuboid with dimensions $10$ cm, $8$ cm and $6$ cmA cube of side $8$ cmA cylinde...

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 ...

The area of an equilateral triangle is $\sqrt{3}$. What is the perimeter of the triangle?$2$$4$$6$$8$

In spite of being warned repeatedly, he failed to correct his _________ behaviour."The word that best fills the blank in the above sentence isrationalreasonableerrantgood

"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...

A rod shaped bacterium has a length of $2 \: \mu m$, diameter of $1 \mu m$ and density the same as that of water. If proteins constitute $15 \%$ of the cell mass and the ...

The product of complete digestion of the plasmid shown below with EcoRI and HaeIII was purified and used as a template in a reaction containing Klenow fragment of DNA pol...

Consider a simple uni-substrate enzyme that follows Michaelis-Menten kinetics. When the enzyme catalyzed reaction was carried out in the presence of $10$ nM concentration...

First order deactivation rate constants for soluble and immobilized amyloglucosidase enzyme are $0.03 \text{ min}^{-1}$ and $0.005 \text{ min}^{-1}$, respectively. The ra...

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 ...

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...

In a chemostat, the feed flow rate and culture volume are $100$ ml/h and $1.0$ L, respectively. With glucose as substrate, the values of $\mu_{\text{max}}$ and $K_s$ are ...

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...

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) ________

The probability distribution for a discrete random variable $X$ is given below. $$\begin{array}{|c|c|c|c|c|} \hline X & 1 & 2 & 3 & 4 \\ \hline P(X) & 0.3 & 0.4 & 0.2 & 0...

Calculate the following integral (up to two decimal places)$$\displaystyle \int_0^1 (x + 3)(x + 1)dx = \text{ ___________}$$

A microbial strain is cultured in a $100$ L stirred fermenter for secondary metabolite production. If the specific rate of oxygen uptake is $0.4 \: h^{-1}$ and the oxygen...

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 ...

Moist heat sterilization of spores at $121 ^\circ C$ follows first order kinetics as per the expression: $$\dfrac{dN}{dt}=-k_dN$$ where, $N$ is the number of viable spore...

$5'$ capping of mRNA transcripts in eukaryotes involves the following events:Addition of GMP on the $5'$ endRemoval of $\gamma$-phosphate of the triphosphate on first bas...

Which of the following are true about bacterial superoxide dismutase?Present in obligate aerobesPresent in facultative anaerobesPresent in aerotolerant anaerobesAbsent in...

Which one of the following statements is true with regard to processing and presentation of protein antigens?In the class II MHC pathway, protein antigens in the cytosol ...

Which one of the combinations of the following statements is true about antibody structure?Limited proteolysis of rabbit IgG with the enzyme pepsin generates two antigen-...

Which one of the following amino acids is catalyzed by activated macrophages to produce reactive nitrogen species?ArginineAsparagineCysteineHistidine

Shear stress versus shear rate behavior of four different types of fluids (I, II, III and IV) are shown in the figure below.Which one of the following options is correct?...

Which of the following are true with regard to anaerobic respiration in bacteria?The final electron acceptor is an inorganic substance other than molecular oxygenThe numb...

Determine the correctness or otherwise of the following Assertion [a] and the Reason [r]:Assertion: The association constant in water for the G-C base pair is three times...

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} \\ ...

Which of the following cytokines are endogenous pylogens?Tumor necrosis factor-$\alpha$Interleukin-$1$Transforming growth factor-$\beta$Interleukin-$10$P and Q onlyP and ...

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) ____________