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GATE20144GA10
A five digit number is formed using the digits $1,3,5,7$ and $9$ without repeating any of them. What is the sum of all such possible five digit numbers? $6666660$ $6666600$ $6666666$ $6666606$
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GATE20144GA9
A firm producing air purifiers sold $200$ units in $2012$. The following pie chart presents the share of raw material, labour, energy, plant & machinery, and transportation costs in the total manufacturing cost of the firm in $2012$. The expenditure on labour ... % and all other expenses increased by $20$%. What is the percentage increase in total cost for the company in $2013$?
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GATE20144GA8
Industrial consumption of power doubled from $2000$$2001$ to $2010$$2011$. Find the annual rate of increase in percent assuming it to be uniform over the years. $5.6$ $7.2$ $10.0$ $12.2$
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GATE20144GA7
If ‘KCLFTSB’ stands for ‘best of luck’ and ‘SHSWDG’ stands for ‘good wishes’, which of the following indicates ‘ace the exam’? MCHTX MXHTC XMHCT XMHTC
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GATE20144GA6
Find the next term in the sequence: $13M, 17Q, 19S$, ___ $21W$ $21V$ $23W$ $23V$
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GATE20144GA5
In a sequence of $12$ consecutive odd numbers, the sum of the first $5$ numbers is $425$. What is the sum of the last $5$ numbers in the sequence?
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GATE20144GA4
Let $f(x,y)=x^n y^m=P$ If $x$ is doubled and $y$ is halved, the new value of $f$ is $2^{nm}P$ $2^{mn}P$ $2(nm)P$ $2(mn)P$
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GATE20144GA3
While receiving the award, the scientist said, "I feel vindicated". Which of the following is closest in meaning to the word ‘vindicated’? punished substantiated appreciated chastened
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GATE20144GA2
After the discussion, Tom said to me, 'Please revert!'. He expects me to _________. retract get back to him move in reverse retreat
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GATE20144GA1
Which of the following options is the closest in meaning to the word underlined in the sentence below? In a democracy, everybody has the freedom to disagree with the government. dissent descent decent decadent
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GATE2014452
A GONo GO plug gauge is to be designed for measuring a hole of nominal diameter $25$ $mm$ with a hole tolerance of $ $ $0.015$ $mm$. Considering $10$% of work tolerance to be the gauge tolerance and no wear condition, the dimension (in $mm$) of the GO plug gauge as per the unilateral tolerance ... $25.015^{+0.000 \\ 0.006 }$ $24.985^{+0.03 \\ 0.03}$ $24.985^{+0.003 \\ 0.000}$
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GATE2014455
A butt weld joint is developed on steel plates having yield and ultimate tensile strength of $500$ $MPa$ and $700$ $MPa$, respectively. The thickness of the plates is $8$ $mm$ and width is $20$ $mm$. Improper selection of welding parameters caused an ... $mm$ depth along the weld. The maximum transverse tensile load (in $kN$) carrying capacity of the developed weld joint is _______
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GATE2014454
A cast iron block of $200$ $mm$ length is being shaped in a shaping machine with a depth of cut of $4$ $mm$, feed of $0.25$ $mm$/stroke and the tool principal cutting edge angle of $30^o$. Number of cutting strokes per minute is $60$. Using specific energy for cutting as $1.49$ $J/mm^3$, the average power consumption (in watt) is _______
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GATE2014453
A cylindrical riser of $6$ $cm$ diameter and $6$ $cm$ height has to be designed for a sand casting mould for producing a steel rectangular plate casting of $7$ $cm$ × $10$ $cm$ × $2$ $cm$ dimensions having the total solidification time of $1.36$ minute. The total solidification time (in minute) of the riser is _______
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GATE2014443
Consider the following statements regarding streamline$(s)$: It is a continuous line such that the tangent at any point on it shows the velocity vector at that point There is no flow across streamlines $\frac{dx}{u}=\frac{dy}{v}=\frac{dz}{w}$ is the differential equation of a streamline, where $u$, $v$ ... $(i), (ii), (iv)$ $(ii), (iii), (iv)$ $(i), (iii), (iv)$ $(i), (ii), (iii)$
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GATE2014450
The precedence relations and duration (in days) of activities of a project network are given in the table. The total float (in days) of activities $e$ and $f$ , respectively, are Activity Predecessors Duration (days) a  2 b  4 c a 2 d b 3 e c 2 f c 4 g d,e 5 $0$ and $4$ $1$ and $4$ $2$ and $3$ $3$ and $1$
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GATE2014451
At a work station, $5$ jobs arrive every minute. The mean time spent on each job in the work station is $1/8$ minute. The mean steady state number of jobs in the system is _______
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GATE2014449
In a compression ignition engine, the inlet air pressure is $1$ bar and the pressure at the end of isentropic compression is $32.42$ bar. The expansion ratio is $8$. Assuming ratio of specific heats $(γ)$ as $1.4$, the air standard efficiency (in percent) is _______
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GATE2014448
Two infinite parallel plates are placed at a certain distance apart. An infinite radiation shield is inserted between the plates without touching any of them to reduce heat exchange between the plates. Assume that the emissivities of plates and radiation shield are equal. The ratio of the net heat exchange between the plates with and without the shield is $1/2$ $1/3$ $1/4$ $1/8$
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GATE2014447
Steam with specific enthalpy $(h)$ $3214$ $kJ/kg$ enters an adiabatic turbine operating at steady state with a flow rate $10$ $kg/s$. As it expands, at a point where h is $2920$ $kJ/kg$, $1.5$ $kg/s$ is extracted for heating purposes. The remaining ... $h$ = $2374$ $kJ/kg$. Neglecting changes in kinetic and potential energies, the net power output (in $kW$) of the turbine is _______
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GATE2014446
Two identical metal blocks L and M (specific heat = $0.4$ $kJ/kg.K$), each having a mass of $5$ $kg$, are initially at $313$ $K$. A reversible refrigerator extracts heat from block L and rejects heat to block M until the temperature of block L reaches $293$ $K$. The final temperature (in $K$) of block M is _______
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GATE2014445
Water flows through a tube of diameter $25$ $mm$ at an average velocity of $1.0$ $m/s$. The properties of water are $\rho$=$1000$ $kg/m^3$, $\mu$=$7.25 ×10^{−4}$ $N.s/m^2$, $k$=$0.625$ $W/m.K$, $P_r$ = $4.85$. Using $N_\mu =0.023R_e^{0.8}P_r^{0.4}$ , the convective heat transfer coefficient (in $W/m^2.K$) is _______
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GATE2014444
Consider a velocity field $\overrightarrow{V}=k(y\hat{i}+x\hat{k})$ , where $K$ is a constant. The vorticity, $Ω_Z$ , is $K$ $K$ $K/2$ $K/2$
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GATE2014442
A plane wall has a thermal conductivity of $1.15$ $W/m.K$. If the inner surface is at $1100^o$ $C$ and the outer surface is at $350^o$ $C$, then the design thickness (in meter) of the wall to maintain a steady heat flux of $2500$ $W/m^2$ should be _______
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GATE2014441
A closed system contains $10$ $kg$ of saturated liquid ammonia at $10^o$ $C$. Heat addition required to convert the entire liquid into saturated vapour at a constant pressure is $16.2$ $MJ$. If the entropy of the saturated liquid is $0.88$ $kJ/kg.K$, the entropy (in $kJ/kg.K$) of saturated vapour is _______
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GATE2014440
A ladder AB of length $5$ $m$ and weight $(W)$ $600$ $N$ is resting against a wall. Assuming frictionless contact at the floor $(B)$ and the wall $(A)$, the magnitude of the force $P$ (in newton) required to maintain equilibrium of the ladder is _______
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gate20144
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GATE2014439
A single degree of freedom system has a mass of $2$ $kg$, stiffness $8$ $N/m$ and viscous damping ratio $0.02$. The dynamic magnification factor at an excitation frequency of $1.5$ $rad/s$ is _______
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GATE2014438
Torque and angular speed data over one cycle for a shaft carrying a flywheel are shown in the figures. The moment of inertia (in $kg.m^2$) of the flywheel is _______
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Feb 19, 2017
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gate20144
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GATE2014437
A wardrobe (mass $100$ $kg$, height $4$ $m$, width $2$ $m$, depth $1$ $m$), symmetric about the $Y$$Y$ axis, stands on a rough level floor as shown in the figure. A force $P$ is applied at midheight on the wardrobe so as to tip it about point $Q$ without slipping. ... the floor and the wardrobe, respectively? $490.5$ and $0.5$ $981$ and $0.5$ $1000.5$ and $0.15$ $1000.5$ and $0.25$
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GATE2014436
A frame is subjected to a load $P$ as shown in the figure. The frame has a constant flexural rigidity $EI$. The effect of axial load is neglected. The deflection at point $A$ due to the applied load $P$ is $\frac{1}{3}\frac{PL^3}{EI}$ $\frac{2}{3}\frac{PL^3}{EI}$ $\frac{PL^3}{EI}$ $\frac{4}{3}\frac{PL^3}{EI}$
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GATE2014435
A bolt of major diameter $12$ $mm$ is required to clamp two steel plates. Cross sectional area of the threaded portion of the bolt is $84.3$ $mm^2$. The length of the threaded portion in grip is $30$ $mm$, while the length of the unthreaded portion in grip ... $200$ $GPa$. The effective stiffness (in $MN/m$) of the bolt in the clamped zone is_______
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GATE2014434
A uniform slender rod ($8$ $m$ length and $3$ $kg$ mass) rotates in a vertical plane about a horizontal axis $1$ $m$ from its end as shown in the figure. The magnitude of the angular acceleration (in $rad/s^2$) of the rod at the position shown is _______
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GATE2014433
It is desired to avoid interference in a pair of spur gears having a $20^o$ pressure angle. With increase in pinion to gear speed ratio, the minimum number of teeth on the pinion increases decreases first increases and then decreases remains unchanged
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GATE2014432
For the truss shown in the figure, the forces $F_1$ and $F_2$ are $9$ $kN$ and $3$ $kN$, respectively. The force (in $kN$) in the member QS is $11.25$ tension $11.25$ compression $13.5$ tension $13.5$ compression
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GATE2014431
A thin gas cylinder with an internal radius of $100$ $mm$ is subject to an internal pressure of $10$ $MPa$. The maximum permissible working stress is restricted to $100$ $MPa$. The minimum cylinder wall thickness (in $mm$) for safe design must be _______
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GATE2014430
A shaft is subjected to pure torsional moment. The maximum shear stress developed in the shaft is $100$ $MPa$. The yield and ultimate strengths of the shaft material in tension are $300$ $MPa$ and $450$ $MPa$, respectively. The factor of safety using maximum distortion energy (vonMises) theory is _______
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GATE2014429
Consider an ordinary differential equation $\frac{dx}{dt}=4t+4$. If $x = x_0$ at $t = 0$, the increment in $x$ calculated using RungeKutta fourth order multistep method with a step size of $Δt = 0.2$ is $0.22$ $0.44$ $0.66$ $0.88$
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GATE2014428
The number of accidents occurring in a plant in a month follows Poisson distribution with mean as $5.2$. The probability of occurrence of less than $2$ accidents in the plant during a randomly selected month is $0.029$ $0.034$ $0.039$ $0.044$
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GATE2014427
The value of the integral $\int_{0}^{2}\int_{0}^{x}e^{x+y}dydx$ is $\frac{1}{2}(e1)$ $\frac{1}{2}(e^21)^2$ $\frac{1}{2}(e^2e)$ $\frac{1}{2}(e\frac{1}{e})^2$
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GATE2014426
If $z$ is a complex variable, the value of $\int_{5}^{3i}\frac{dz}{z}$ is $− 0.511−1.57i$ $− 0.511+1.57i$ $0.511− 1.57i$ $0.511+1.57i$
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