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A square coil of 10 cm side and with 100 turns is rotated at a uniform speed of 1000 rpm about an axis at right angles to a uniform field having a flux density of 0.5 T. Calculate the instantaneous value of induced emf when the plane of the coil is (a) at to the field, and (b) in the plane of the field.

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Q.48) A water treatment plant of capacity, 1 m^3/s has filter boxes of dimensions 6 m × 10 m. Loading rate to the filters is 120 m^3/day/m^2. -gate civil 2017

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Stress path equation for tri-axial test upon application of deviatoric stress is, q root10 3 root 0.5 p . The respective values of cohesion, c (in kPa) and angle of internal friction, fiy are: - gate civil 2017

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A pile of diameter 0.4 m is fully embedded in a clay stratum having 5 layers, each 5 m thick as shown in the figure below. Assume a constant unit weight of soil as 18 kN/m3 for all the layers. Using -method ( = 0.15 for 25 m embedment length) and neglecting the end bearing component, the ultimate pile capacity (in kN) is ________________. - gate civil 2017

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A 4 m thick layer of normally consolidated clay has an average void ratio of 1.30. Its compression index is 0.6 and coefficient of consolidation is 1 m2 /yr. - gate civil 2017

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A 588 cm3 volume of moist sand weighs 1010 gm. Its dry weight is 918 gm and specific gravity of solids, G is 2.67. - gate civil 2017

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A fixed end beam is subjected to a load, W at 1/3rd span from the left support as shown in the figure. The collapse load of the beam is: - gate civil 2017

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A simply supported beam AB of span, L = 24 m is subjected to two wheel loads acting at a distance, d = 5 m apart as shown in the figure below. Each wheel transmits a load, P = 3 kN and may occupy any position along the beam. If the beam is an I-section having section modulus, S = 16.2 cm 3 , the maximum bending stress (in GPa) due to the wheel loads is _______________________. - gate civil 2017

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A steel strip of length, L = 200 mm is fixed at end A and rests at B on a vertical spring of stiffness, k = 2 N/mm. The steel strip is 5 mm wide and 10 mm thick. A vertical load, P = 50 N is applied at B, as shown in the figure. Considering E = 200 GPa, the force (in N) developed in the spring is __________. - gate civil 2017

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A linear double stranded DNA of length 8 kbp has three restriction sites. Each of these can either be a BamHI or a HaeIII site.-gate biotech 2015

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Biomass is being produced in a continuous stirred tank bioreactor of 750 L capacity-gate biotech 2015

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Q.65) Instruction execution in a processor is divided into 5 stages. Instruction Fetch(IF), Instruction Decode (ID), Operand Fetch(OF), Execute(EX), and Write Back(WB), These stages take 5,4,20, 10 and 3 nanoseconds (ns) respectively. A pipelined implementation of the processor requires buffering between each pair of consecutive stages with a delay of 2 ns . -gate computer science 2017

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Q.64) The output of executing the following C program is ________. -gate computer science 2017

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Samples of bacterial culture taken at 5 PM and then the next day at 5 AM were found to have 10^4 and 10^7 cells∙mL^-1, respectively-gate biotech 2015

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Q.63) Recall that Belady’s anomaly is that the pages-fault rate may increase as the number of allocated frames increases. Now consider the following statements: -gate computer science 2017

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Q.62) Let A and B be infinite alphabets and let # be a symbol outside both A and B. Let f be a total functional from A* to B* .We say f is computable if there exists a Turning machine M which given an input x in A*, always halts with f(x) on its tape. Let Lf denotes the language {x#f(x)|x∈A*}. Which of the following statements is true? -gate computer science 2017

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Cytoplasmic extract from the wild type strain of a bacterium has the ability to convert a colorless substrate (S) to a colored product (P) via three colorless intermediates X, Y and Z, in that order.-gate biotech 2015

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Which one of the following gives the simplified sum of products expression for the Boolean function

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Q.61) Let u and v be two vectors in R2 whose Euclidean norms satisfy |u| = 2|v|. What is the value α such that w = u + αv bisects the angle between u and v ? -gate computer science 2017

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In a fed-batch culture, 200 g ∙ L^-1 glucose solution is added at a flow rate of 50 L∙h^-1 . The initial culture volume (at quasi steady state) and the initial cell concentration are 600 L and 20 g ∙ L^-1 ,respectively. The yield coefficient (Yx/s) is 0.5 g cell mass∙g substrate^-1. The cell concentration (g ∙ L ^-1) at quasi steady state at t=8 h is -gate biotech 2015

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Q.58) The number of integers between 1 and 500 (both inclusive) that are divisible by 3 or 5 or 7 is ______. -gate computer science 2017

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Q.57) Let A be an array of 31 numbers consisting of a sequence of 0’s followed by a sequence of 1’s. The problem is to find the smallest index i such that A[i] is 1 by probing the minimum number of locations in A. The worst case number of probes performed by an optimal algorithm is________. -gate computer science 2017

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A three dimensional region R of finite volume is described by

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Three distinct antigens X, Y and Z were used to raise antibodies-gate biotech 2015

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Q.56) A cache memory unit with capacity of N words and block size of B words is to be designed. If it is designed as direct mapped cache, the length of the TAG field is 10 bits. If the cache unit is now designed as a 16-way set-associative cache, the length of the TAG field is ______ bits. -gate computer science 2017

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The Nyquist plot of the transfer function

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Sediments derived exclusively from the Deccan basalt are deposited on a high-energy beach and are lithified under shallow burial conditions. The sedimentary rock formed would be a/an -gate Geology & Geophysics 2017

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Q.55) Consider the following C program. -gate computer science 2017

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Which one of the following options correctly describes the locations of the roots of the equation

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Q.54) A multithreaded program P executes with x number of threads and uses y number of locks for ensuring mutual exclusion while operating on shared memory locations. -gate computer science 2017

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A linear time invariant (LTI) system with the transfer function

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The maximum velocity of the Indian Plate is observed in -gate Geology & Geophysics 2017

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An in vitro translation system can synthesize peptides in all three reading frames of the RNA template.-gate biotech 2015

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Q.53) Consider the following grammar: -gate computer science 2017

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In seismic exploration the dynamite source is generally considered to be a wavelet of-gate Geology & Geophysics 2017

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Consider the following statements for continuous-time linear time invariant (LTI) systems

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Q.52) Consider the following languages over the alphabet ∑= {a,b,c}. Let L1 = {an bncm | m, n >= 0 } and L2 = {ambncn| m, n >= 0}. -gate computer science 2017

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A synchronous culture containing 1.8 × 10^5 monkey kidney cells was seeded into three identical flasks-gate biotech 2015

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The Königsberger ratio, Qn, related to magnetization of rocks is very low (Qn<<1) for -gate Geology & Geophysics 2017

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Q.51) A computer network uses polynomial over GF(2) for error checking with 8 bits as information bits and uses x3 + x + 1 as the generator polynomial to generate the check bits. In this network, the message 01011011 is transmitted as -gate computer science 2017

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Assuming random distribution of nucleotides-gates biotech 2015

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Analysis of data from a 3-component broadband seismological station yields seismic velocities, Vp = 7.0 km/s and Vs = 3.87 km/s for the lower crust. The resulting Poisson’s ratio of the lower crustal rocks (rounded to two decimal places) is -gate Geology & Geophysics 2017

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In a digital communication system, the overall pulse shape p(t) at the receiver before the sampler has the Fourier transform P(f). If the symbols are transmitted at the rate of 2000 symbols per second, for which of the following cases is inter symbol interference zero?

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One kg of an ideal gas (gas constant R=287 J/kg.K) undergoes an irreversible process from state-1 (1 bar, 300 K) to state -2 (2 bar, 300 K). The change in specific entropy (s1-s2) of the gas (in J/kg.K) in the process is

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Q.50) Consider a 2-way set associative cache with 256 blocks and uses LRU replacement, Initially the cache is empty. Conflict misses are those misses which occur due the contention of multiple blocks for the same cache set. -gate computer science 2017

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The Bouguer anomaly obtained after applying all necessary corrections is due to -gate Geology & Geophysics 2017

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A heterozygous tall plant (Tt) was crossed with a homozygous dwarf plant (tt) -gate biotech 2015

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Consider the D-Latch shown in the figure, which is transparent when its clock input CK is high and has zero propagation delay. In the figure, the clock signal CLK1 has a 50% duty cycle and CLK2 is a one-fifth period delayed version of CLK1. The duty cycle at the output latch in percentage is ___________.

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A strip of 120 mm width and 8 mm thickness is rolled between two 300 mm-diameter rolls to get a strip of 120 mm width and 7.2 mm thickness. The speed of the strip at the exit is 30 m/min. There is no front or back tension. Assuming uniform roll pressure of 200 MPa in the roll bite and 100% mechanical efficiency, the minimum total power (in kW) required to drive the two roll is _______.

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Q.49) Consider the following two functions : -gate computer science 2017

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In frequency domain IP, which one of the following frequency ranges (in Hz) is used to measure apparent resistivity at DC and AC limits? -gate Geology & Geophysics 2017

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The rank of the matrix

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A calorically perfect gas (specific heat at constant pressure 1000 J/kg.K) enters and leaves a gas turbine with the same velocity. The temperatures of the gas at turbine entry and exit are 1100 K and 400 K, respectively. The power produced is 4.6 MW and heat escapes at the rate of 300 kJ/s through the turbine casing. The mass flow rate of the gas (in kg/s) through the turbine is

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The ki of the novel competitive inhibitor designed against an enzyme-gate biotech 2015

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Which one of the following statements is NOT CORRECT? -gate Geology & Geophysics 2017

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The values of parameters for the Stop-and – Wait ARQ protocol are as given below. -gate computer science 2017

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Consider the 5 × 5 matrix

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In the Rankine cycle for a steam power plant the turbine entry and exit enthalpies are 2803 kJ/kg and 1800 kJ/kg, respectively. The enthalpies of water at pump entry and exit are 121 kJ/kg and 124 kJ/kg, respectively. The specific steam consumption (in kg/k W.h) of the cycle is _______

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A clean, thick and hydrocarbon bearing sandstone bed can be identified through a combination of -gate Geology & Geophysics 2017

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Q.46) In a database system, unique time stamps are assigned to each transaction using Lamport’s logical clock. Let TS(T1) and TS(T2) be the time stamps of transactions T1 and T2 respectively. Besides, T1 holds a lock on the resource R, and T2 has requested a conflicting lock on the same resource R. The following algorithm is used to prevent deadlocks in the database assuming that a killed transaction is restarted with the same timestamp. -gate computer science 2017

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Consider the following statement about the linear dependence of the real valued functions

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A rod of length 20mm is stretched to make a rod of length 40 mm. Subsequently, it is compressed to make a rod of final length 10 mm. Consider the longitudinal tensile strain as positive and compressive strain as negative. The total true longitudinal strain in the rod is _______

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After migration, an anticline observed on an unmigrated seismic section becomes -gate Geology & Geophysics 2017

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In a counter-flow heat exchanger, water is heated at the rate of 1.5kg/s from 40°C to 80°C by an oil entering at 120°C and leaving at 60°C. The specific heats of water and oil are 4.2kJ/kg/K and 2kJ/kg.K respectively. The overall heat transfer coefficient is 400 W/m2 .K. The required heat transfer surface area (in m2) is

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In a RSA cryptosystem a particular A uses two prime numbers p = 13 and q =17 to generate her public and private keys. If the public key of Ais 35. Then the private key of A is ____________. -gate computer science 2017

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Consider a single input single output discrete-time system with x[n] as input and y[n] as output, where the two are related as

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Consider the following multiple sequence alignment of four DNA sequences.-gate biotech 2015

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In a counter-flow heat exchanger, water is heated at the rate of 1.5kg/s from 40°C to 80°C by an oil entering at 120°C and leaving at 60°C. The specific heats of water and oil are 4.2kJ/kg/K and 2kJ/kg.K respectively. The overall heat transfer coefficient is 400 W/m2 .K. The required heat transfer surface area (in m2) is

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In a RSA cryptosystem a particular A uses two prime numbers p = 13 and q =17 to generate her public and private keys. If the public key of Ais 35. Then the private key of A is ____________. -gate computer science 2017

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In an orthogonal machining with a tool of 9° orthogonal rake angle, the uncut chip thickness is 0.2mm. The chip thickness fluctuates between 0.25 mm and 0.4 mm. The ratio of the maximum shear angel to the minimum shear angle during machining is _________

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In the circuit shown, transistors Q1 and Q2 are biased at a collector current of 2.6mA. Assuming that transistor current gains are sufficiently large to assume collector current equal to emitter current and thermal voltage of 26 mV, the magnitude of voltage gain

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If G is grammar with productions S → SaS | aSb | bSa | SS | ∈ where S is the start variable, then which one of the following is not generated by G? -gate computer science 2017

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Given the atomic weight of Fe is 56 and that of C is 12, the weight percentage of carbon in cementite (Fe3C) is ________

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The deviation in the geographical locations of the magnetic poles from the geomagnetic poles of the Earth’s magnetic field is due to the -gate Geology & Geophysics 2017

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Standard air – filled rectangular waveguides of dimensions a = 2.29 cm and b= 1.02 cm are designed for radar applications. It is desired that these waveguides operate only in the dominatnt

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Consider the following grammar over the alphabet {a,b,c} given below, S and T are non-terminals. -gate computer science 2017

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The crystal structure of aluminium is

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If A=mat 4 2 1 3-gate biotech 2015

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The state diagram of a finite state machine (FSM) designed to detect an overlapping sequence of three bits is shown in the figure. The FSM has an input In and an output Out. The initial

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The diameters of a large and a small vessel are 1.62 m and 16.2 cm, respectively. The vessels are geometrically similar and operated under similar volumetric agitated power input. The mixing time in the small vessel was found to be 15 s. Determine the mixing time (in seconds) in the large vessel.-gate biotech 2015

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The switch in the circuit, shown in the figure, was open for a long time and is closed at t = 0.

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The minimum value of the function

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Match the antibiotics in Group I with their modes of action in Group II-gate biotech 2015

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Let p, q, and r be the propositions and the expression (p -> q) -> r be a contradiction. Then, the expression (r -> p)-> q is : -gate computer science 2017

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If a mass of moist air contained in a closed metallic vessel is heated, then its

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Assuming that transistors M1 and M2 are identical and have a threshold voltage of 1V, the state of transistors M1 and M2 are respectively

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Consider the C functions foo and bar given below: -gate computer science 2017

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The frequency range (in Hz) that defines dead-band in magnetotelluric source signal is -gate Geology & Geophysics 2017

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Choose the CORRECT sequence of steps involved in cytoplast production.-gate biotech 2015

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The divergence of the vector −yi+xj______

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In any given signal, removal of all periods shorter than Nyquist period is achieved by -gate Geology & Geophysics 2017

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Consider the parallel combination of two LTI systems shown in the figure.

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Consider the expression (a-1) * ((( b + c ) / 3 )) + d)). Let X be the minimum number of registers required by an optimal code generation (without any register spill) algorithm for a load/store architecture, in which : -gate computer science 2017

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For the stability of a floating body the

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Saccharomyces cerevisiae produces ethanol by fermentation.-gate biotech 2015

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Consider the expression (a-1) * ((( b + c ) / 3 )) + d)). Let X be the minimum number of registers required by an optimal code generation (without any register spill) algorithm for a load/store architecture, in which : -gate computer science 2017

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Saccharomyces cerevisiae produces ethanol by fermentation.-gate biotech 2015

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An abrupt pn junction (located at x = 0) is uniformly doped on both p and n sides. The width of the depletion region is W and the electric field variation in the x-direction is E(x). Which of the following figures represents the electric field profile near the pn junction?

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For a single with Poisson arrival and exponential service time, the arrival rate is 12 per hour. Which one of the following service rates will provide a steady state finite queue length?

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Let G = (V, E) be any connected undirected edge-weighted graph. The weights of the edges in E are positive any distinct. Consider the following statements: -gate computer science 2017

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Match the reagent in Group I with their preferred cleavage site in Group II-gate biotech 2015

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Consider a binary memory less channel characterized by the transition probability diagram

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The heat loss from a fin in 6W. The effectiveness and efficiency of the fin are 3 and 0.75, respectively. The heat loss (in W) from the fin, keeping the entire fin surface at base temperature, is ________.

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Consider a database that has the relation schemas EMP (EmpId, EmpName, DepId), and DEPT(DeptName, DeptId). Note that the DepId can be permitted to be NULL in the relation EMP. Consider the following queries on the database expressed in tuple relational calculus. -gate computer science 2017

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In the estimation of magnetotelluric transfer function, the time-independent conservation of current at conductivity discontinuities will result in -gate Geology & Geophysics 2017

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When two 8-bit numbers A7 ... A0 and B7 ... B0 in 2s complement representation (with A0 and B0 as the least significant bits) are added using ripple-carry adder. the sum bits obtained are S7 ... S0 and the carry bits are C7 ... C0. An overflow is said to have occured if : -gate computer science 2017

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The values of the integrals

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When two 8-bit numbers A7 ... A0 and B7 ... B0 in 2s complement representation (with A0 and B0 as the least significant bits) are added using ripple-carry adder. the sum bits obtained are S7 ... S0 and the carry bits are C7 ... C0. An overflow is said to have occured if : -gate computer science 2017

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Which type of VES curve is obtained for a three-layered earth model consisting of wet shale (top layer), poorly water saturated sandstone (middle layer) and impermeable granite (bottom layer)? -gate Geology & Geophysics 2017

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It is desired to make a product having T-shaped cross-section from a rectangular aluminium block. Which one of the following processes is expected to provide the highest strength of the product?

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plasmid dna -gate biotech 2015

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Consider the following context-free grammar over the alphabet ∑ = {a, b, c} with S as the start symbol: S → abScT | abcT T → bT | b -gate computer science 2017

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Consider the circuit shown in the figure. Assume base-to- emitter voltage

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Which one of the following statement is TRUE?

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The reflectance spectrum of solar energy by the hydrous molecules in plant leaves is best represented in an optical spectrometer in the wavelength range of -gate Geology & Geophysics 2017

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Match the microorganisms in Group I with their fermentation products in Group II.-gate biotech 2015

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Let T be a tree with 10 vertices. The sum of the degrees of all the vertices in T is _____. -gate computer science 2017

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The determinant of a 2x2 matrix is 50. If one eigenvalue of the matrix is 10, the other eigenvalue is

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Choose the CORRECT statement regarding coal.-gate Geology & Geophysics 2017

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The n-bit fixed-point representation of an unsigned real number X uses f bits for the fraction part. Let i = n - f. The range of decimal values for X in this representation is :- -gate computer science 2017

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The emissive power of a blackbody is P. If its absolute temperature is doubled, the emissive power becomes

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The output V0 of the diode circuit shown in the figure is connected to an averaging DC voltmeter. The reading on the DC voltmeter in Volts, neglecting the voltage drop across the diode, is ____________.

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Oxygen transfer was measured in a stirred tank bioreactor using dynamic method-gate biotech 2015

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Match the texture in Group I with its corresponding description in Group II. -gate Geology & Geophysics 2017

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Consider the language L given by the regular expression (a + b) *b(a +b) over the alphabet {a, b}. The smallest number of states needed in a deterministic finite-state automaton (DFA) accepting L is ______. -gate computer science 2017

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The general solution of the differential equation

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Match the cells in Group I with their corresponding entries in Group II.-gate biotech 2015

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Which one of the following statements is TRUE for the ultrasonic machining (USM) process?

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Consider the C code fragment given below. -gate computer science 2017

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A predominantly siliciclastic Mesozoic stratigraphic unit in mainland Kutch containing Trigonia and abundant plant fossils including Ptillophyllum is -gate Geology & Geophysics 2017

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Consider the following C code: -gate computer science 2017

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the limit of the function -gate biotech 2015

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P,Q, and R talk about S‟s car collection. P states that S has at least 3 cars. Q believes that S has less than 3 cars. R indicates that to his knowledge, S has at least one Car. Only one of P, Q and R is right the number cars owned by S is.

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Match the drugs-gate biotech 2015

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An LTI system with unit sample response

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Consider the C struct defines below: struct data { int marks [100] ; char grade; int cnumber; }; struct data student; -gate computer science 2017

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As the two speakers became increasingly agitated, the debate became __________.

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Which one of the following sedimentary structures CANNOT be identified in vertical sections? -gate Geology & Geophysics 2017

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Which one of the following sedimentary structures CANNOT be identified in vertical sections? -gate Geology & Geophysics 2017

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Which one of the following sedimentary structures CANNOT be identified in vertical sections? -gate Geology & Geophysics 2017

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For a discrete random variable X,ran(X)={0,1,2,3}and the cumulative probability F(X) is-gate biotech 2015

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The input x(t) and the output y (t) of a continuous-time system are related as

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Consider the following functions from positives integers to real numbers 10, √n, n, log2n, 100/n. The CORRECT arrangement of the above functions in increasing order of asymptotic complexity is: -gate computer science 2017

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Which one of the following sedimentary structures CANNOT be identified in vertical sections? -gate Geology & Geophysics 2017

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In a company with 100 employees, 45 earn Rs. 20,000 per month, 25 earn Rs. 30,000, 20 earn Rs. 40,000,8 earn Rs. 60,000, and 2 earn Rs. 150,000. The median of the salaries is

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Which one of the following sedimentary structures CANNOT be identified in vertical sections? -gate Geology & Geophysics 2017

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What are the eigenvalues of the following matrix?-gate biotech 2015

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Which one of the following sedimentary structures CANNOT be identified in vertical sections? -gate Geology & Geophysics 2017

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A block of length 200mm is machined by a slab milling cutter 34mm in diameter. The depth of cut and table feed are set at 2mm and 18mm/minute, respectively. Considering the approach and the over travel of the cutter to be same, the minimum estimated machining time per pass is _____________ minutes.

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Which one of the following sedimentary structures CANNOT be identified in vertical sections? -gate Geology & Geophysics 2017

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