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Recent questions tagged gateme-2015-set1
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GATE Mechanical 2015 Set 1 | GA Question: 9
if $a^2+b^2+c^2=1$ then $ab+bc+ac$ lies in the interval $[1,2/3]$ $[-1/2,1]$ $[-1,1/2]$ $[2,-4]$
Arjun
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Quantitative Aptitude
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set1
numerical-ability
algebra
0
answers
0
votes
GATE Mechanical 2015 Set 1 | GA Question: 8
A tiger is $50$ leaps of its own behind a tree.The tiger takes $5$ leaps per minute to the deer's $4$. If the tiger and the deer covers $8$ meter and $5$ meter per leap respectively,what distance in meters will the tiger have to run before it catches the deer?
Arjun
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in
Quantitative Aptitude
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set1
numerical-answers
numerical-ability
speed-time-distance
0
answers
0
votes
GATE Mechanical 2015 Set 1 | GA Question: 7
Given below are two statements followed by two conclusions.Assuming these statements to be true,decide which one logically follows Statements: All film stars are playback singers. All film directors are film stars Conclusions: All film ... conclusion I follows Only conclusion II follows Neither conclusion I nor II follows both conclusion I nor II follows
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Analytical Aptitude
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set1
analytical-aptitude
logical-reasoning
statements-follow
0
answers
0
votes
GATE Mechanical 2015 Set 1 | GA Question: 6
In the following sentence certain parts are underlined and marked P,Q and R.One of the parts may contain certain error or may not be acceptable in standard written communication.select the part containing an error.choose D as your answer if there is no error. ... $P$ $Q$ $R$ no error
Arjun
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Verbal Aptitude
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set1
verbal-ability
english-grammar
0
answers
0
votes
GATE Mechanical 2015 Set 1 | GA Question: 5
Ram and Ramesh appeared in an interview for two vacancies in the same department.The probability of Ram's selection is $1/6$ and of Ramesh is $1/8$.What is the pobabilty that only one of them will be selected? $47/48$ $1/4$ $13/48$ $35/48$
Arjun
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in
Quantitative Aptitude
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set1
numerical-ability
probability
0
answers
0
votes
GATE Mechanical 2015 Set 1 | GA Question: 4
An electric bulb has onboard instruments that report the total electricity consumed since the start of the trip as well as the total distance covered.During a single day of operation,the bus travels on stretches M,N,O,and P, in that order.The cumulative ... $km$ is minimum is $M$ $N$ $O$ $P$
Arjun
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Quantitative Aptitude
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set1
numerical-ability
data-interpretation
tabular-data
1
answer
0
votes
GATE Mechanical 2015 Set 1 | GA Question: 3
What is the adverb for the given word below? Misogynous Misogynousness Misogynity Misogynously Misogynous
Arjun
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in
Verbal Aptitude
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set1
verbal-ability
english-grammar
1
answer
0
votes
GATE Mechanical 2015 Set 1 | GA Question: 2
Choose the word most similar in meaning to the given word Awkward Inept Graceful Suitable Dreadful
Arjun
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in
Verbal Aptitude
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set1
verbal-ability
word-meaning
0
answers
0
votes
GATE Mechanical 2015 Set 1 | GA Question: 10
Lamenting the gradual sidelining of the arts in school curricula, a group of prominent artists wrote to the chief minister last year, asking him to allocate more funds to support art education in schools. However, no such increase has been announced in this year's budget. ... these days (iii) and (iv) (i) and (ii) (i),(ii) and (iii) (i) and (ii)
Arjun
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Verbal Aptitude
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set1
verbal-ability
verbal-reasoning
passage-reading
0
answers
0
votes
GATE Mechanical 2015 Set 1 | GA Question: 1
Choose the appropriate word/phrase, out of the four options given below,to complete the following sentence: Dhoni,as well as the other team members of Indian team,______present on the occasion were was has have
Arjun
asked
in
Verbal Aptitude
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set1
verbal-ability
most-appropriate-word
0
answers
0
votes
GATE2015-1-49
The velocity field of an incompressible flow is given by $V=(a_1x+a_2y+a_3z)i+(b_1x+b_2y+b_3z)j+(c_1x+c_2y+c_3z)z$, where $a_1$ = $2$ and $c_3$ = − $4$. The value of $b_2$ is ___________
Arjun
asked
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Fluid Mechanics
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set1
numerical-answers
fluid-mechanics
velocity
0
answers
0
votes
GATE2015-1-55
Steam enters a well insulated turbine and expands isentropically throughout. At an intermediate pressure, $20$ percent of the mass is extracted for process heating and the remaining steam expands isentropically to $9 \: kPa$ ... If the flow rate of steam entering the turbine is $100$ $kg/s$, then the work output (in $MW$) is _________
Arjun
asked
in
Applications
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set1
numerical-answers
fluid-mechanics-and-thermal-science
applications
turbomachinery
0
answers
0
votes
GATE2015-1-54
A well insulated rigid container of volume $1 \: m^3$ contains $1.0 \: kg$ of an ideal gas $[C_p = 1000 \: J/(kg\cdot K)$ and $C_v=800 J/(kg \cdot K)]$ at a pressure of $105 \: Pa$. A stirrer is rotated at constant rpm in the container for $1000$ rotations and the applied torque is $100 \: N-m$. The final temperature of the gas (in $K$) is $500.0$ $773.0$ $785.4$ $1285.4$
Arjun
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in
Applications
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set1
numerical-answers
fluid-mechanics-and-thermal-science
applications
air-and-gas-compressors
0
answers
0
votes
GATE2015-1-53
Water $(\rho = 1000 \: kg/m^3)$ flows through a venturimeter with inlet diameter $80 \: mm$ and throat diameter $40 \: mm$. The inlet and throat gauge pressures are measured to be $400 \: kPa$ and $130 \: kPa$ respectively. Assuming the venturimeter to be horizontal and neglecting friction, the inlet velocity (in $m/s$) is _______
Arjun
asked
in
Fluid Mechanics
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set1
numerical-answers
fluid-mechanics-and-thermal-science
fluid-mechanics
flow-through-pipes
0
answers
0
votes
GATE2015-1-52
Air ($\rho$=$1.2 \: kg/m^3$ and kinematic viscosity, $V$ = $2 \times10^{−5}$ $m^2$/$s$) with a velocity of $2$ $m/s$ flows over the top surface of a flat plate of length $2.5$ $m$. If the average value of friction coefficient is $C_f=\dfrac{1.328}{\sqrt{Re_x}}$, the total drag force (in $N$) per unit width of the plate is _______
Arjun
asked
in
Applied Mechanics and Design
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set1
numerical-answers
applied-mechanics-and-design
engineering-mechanics
0
answers
0
votes
GATE2015-1-51
Temperature of nitrogen in a vessel of volume $2$ $m^3$ is $288$ $K$. A U-tube manometer connected to the vessel shows a reading of $70$ $cm$ of mercury (level higher in the end open to atmosphere). The universal gas constant is $8314$ $J$/$kmol$-$K$, atmospheric ... $m$/$s^2$ and density of mercury is $13600$ $kg$/$m^3$. The mass of nitrogen (in $kg$) in the vessel is _____________
Arjun
asked
in
Applied Mechanics and Design
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set1
numerical-answers
applied-mechanics-and-design
0
answers
0
votes
GATE2015-1-50
A $10$ $mm$ diameter electrical conductor is covered by an insulation of $2\:mm$ thickness. The conductivity of the insulation is $0.08$ $W/m-K$ and the convection coefficient at the insulation surface is $10$ $W/m^2-K$. Addition of ... heat loss continuously increase heat loss to a maximum and then decrease heat loss decrease heat loss to a minimum and then increase heat loss
Arjun
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Heat Transfer
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set1
fluid-mechanics-and-thermal-science
heat-transfer
0
answers
0
votes
GATE2015-1-48
Match the following pairs: \begin{array}{|l|l|l|l|} \hline &\textbf{Equation} && \textbf{Physical Interpretation} \\ \hline P. & \nabla \times \overrightarrow{V}=0 & I. & \text{ Incompressible continuity equation} \\ \hline Q. & \nabla \bullet \overrightarrow{V}=0 & II. ... $P-IV, Q-III, R-I, S-II$ $P-III, Q-I, R-IV, S-II$ $P-III, Q-I, R-II, S-IV$
Arjun
asked
in
Fluid Mechanics
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set1
fluid-mechanics-and-thermal-science
fluid-mechanics
0
answers
0
votes
GATE2015-1-47
For flow through a pipe of radius $R$, the velocity and temperature distribution are as follows: $u(r,x)=C_1,$, and $T(r,x)=C_2[1- \left (\dfrac{r}{R} \right )^3]$ where $C_1$ and $C_2$ ... mean velocity of flow. The value of $T_m$ is $\dfrac{0.5C_2}{U_m} \\$ $0.5C_2 \\$ $0.6C_2 \\$ $\dfrac{0.6C_2}{U_m}$
Arjun
asked
in
Fluid Mechanics
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set1
fluid-mechanics-and-thermal-science
fluid-mechanics
flow-through-pipes
0
answers
0
votes
GATE2015-1-40
A ball of mass $0.1 \text{ kg}$, initially at rest, is dropped from height of $1$m. Ball hits the ground and bounces off the ground. Upon impact with the ground, the velocity reduces by $20 \%$. The height (in $m$) to which the ball will rise is _______
Arjun
asked
in
Fluid Mechanics
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set1
numerical-answers
fluid-mechanics
velocity
0
answers
0
votes
GATE2015-1-46
A horizontal plate has been joined to a vertical post using four rivets arranged as shown in the figure. The magnitude of the load on the worst loaded rivet (in $N$) is _______
Arjun
asked
in
Applied Mechanics and Design
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set1
numerical-answers
applied-mechanics-and-design
machine-design
rivited-and-welded-joints
0
answers
0
votes
GATE2015-1-45
A precision instrument package $(m = 1 \: kg)$ needs to be mounted on a surface vibrating at $60 \: Hz$. It is desired that only $5\%$ of the base surface vibration amplitude be transmitted to the instrument. Assume that the isolation is designed with its natural ... $N/m$) of the required mounting pad is _____
Arjun
asked
in
Applied Mechanics and Design
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set1
numerical-answers
applied-mechanics-and-design
vibrations
0
answers
0
votes
GATE2015-1-44
A cantilever beam with flexural rigidity of $200$ $N.m^2$ is loaded as shown in the figure. The deflection (in $mm$) at the tip of the beam is _______
Arjun
asked
in
Applied Mechanics and Design
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set1
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
deflection-of-beams
0
answers
0
votes
GATE2015-1-43
A machine element is subjected to the following bi-axial state of stress: $\sigma _x$ = $80$ $MPa$; $\sigma _y$ = 20 MPa; $\tau _{xy}$ = $40$ $MPa$. If the shear strength of the material is $100$ $MPa$, the factor of safety as per Tresca’s maximum shear stress theory is $1.0$ $2.0$ $2.5$ $3.3$
Arjun
asked
in
Applied Mechanics and Design
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set1
applied-mechanics-and-design
mechanics-of-materials
shear-stress
0
answers
0
votes
GATE2015-1-42
A mobile phone has a small motor with an eccentric mass used for vibrator mode. The location of the eccentric mass on motor with respect to center of gravity (CG) of the mobile and the rest of the dimensions of the mobile phone are shown. The mobile is kept on a ... RPM for which the mobile will get just lifted off the ground at the end $Q$ is approximately $3000$ $3500$ $4000$ $4500$
Arjun
asked
in
Applied Mechanics and Design
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set1
applied-mechanics-and-design
0
answers
0
votes
GATE2015-1-41
A pinion with radius $r_1$, and inertia $I_1$ is driving a gear with radius $r_2$ and inertia $I_2$. Torque $\tau _1$ is applied on pinion. The following are free body diagrams of pinion and gear showing important forces ($F_1$ and $F_2$) of interaction. Which of the following ... $F_2=I_2\dfrac{1}{r_2}\ddot{\theta _1};$
Arjun
asked
in
Applied Mechanics and Design
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set1
applied-mechanics-and-design
theory-of-machines
gears-and-gear-trains
0
answers
0
votes
GATE2015-1-39
For the truss shown in figure, the magnitude of the force in member PR and the support reaction at R are respectively $122.47$ $kN$ and $50$ $kN$ $70.71$ $kN$ and $100$ $kN$ $70.71$ $kN$ and $50$ $kN$ $81.65$ $kN$ and $100$ $kN$
Arjun
asked
in
Applied Mechanics and Design
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set1
applied-mechanics-and-design
engineering-mechanics
trusses
0
answers
0
votes
GATE2015-1-38
Considering massless rigid rod and small oscillations, the natural frequency (in $rad/s$) of vibration of the system shown in the figure is $\sqrt{\dfrac{400}{1}} \\$ $\sqrt{\dfrac{400}{2}} \\$ $\sqrt{\dfrac{400}{3}} \\$ $\sqrt{\dfrac{400}{4}} $
Arjun
asked
in
Applied Mechanics and Design
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set1
applied-mechanics-and-design
vibrations
vibration-isolation
0
answers
0
votes
GATE2015-1-37
In a slab rolling operation, the maximum thickness reduction $(Δℎ_{max}$) is given by $Δ_{max}$ = $\mu^2R$ , where $R$ is the radius of the roll and $\mu$ is the coefficient of friction between the roll and the sheet. If $\mu$ = $0.1$, the maximum angle subtended by the deformation zone at the centre of the roll (bite angle in degrees) is _______
Arjun
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in
Applied Mechanics and Design
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set1
numerical-answers
rolling
applied-mechanics-and-design
0
answers
0
votes
GATE2015-1-36
The solidification time of a casting is proportional to $\left( \dfrac{V}{A} \right )^2$, where $V$ is the volume of the casting and $A$ is the total casting surface area losing heat. Two cubes of same material and size are cast using sand casting process. The top face of one of ... insulated to that of the other cube is $\dfrac{25}{36} \\$ $\dfrac{36}{25} \\$ $1 \\$ $\dfrac{6}{5}$
Arjun
asked
in
Materials, Manufacturing and Industrial Engineering
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set1
materials-manufacturing-and-industrial-engineering
casting-forming-and-joining-process
different-types-of-casting
0
answers
0
votes
GATE2015-1-35
An orthogonal turning operation is carried out under the following conditions: rake angle = $5^{\circ}$; spindle rotational speed = $400 \text{ rpm}$; axial feed = $0.4 \text{ m/min}$ and radial depth of cut = $5 \text{ mm}$. The chip thickness, $t_c$, is found to be $3 \text{ mm}$. The shear angle (in degrees) in this turning process is_____
Arjun
asked
in
Materials, Manufacturing and Industrial Engineering
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set1
numerical-answers
materials-manufacturing-and-industrial-engineering
machining-and-machine-tools-operations
0
answers
0
votes
GATE2015-1-29
The probability of obtaining at least two “SIX” in throwing a fair dice $4$ times is $425/432$ $19/144$ $13/144$ $125/432$
Arjun
asked
in
Probability and Statistics
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set1
probability-and-statistics
probability
0
answers
0
votes
GATE2015-1-28
Find the solution of $\dfrac{d^2y}{dx^2}=Y$ which passes through the origin and the point $\left(\ln 2,\dfrac{3}{4}\right)$ $y=\dfrac{1}{2}e^x-e^{-x} $ $y=\dfrac{1}{2}(e^x+e^{-x}) $ $y=\dfrac{1}{2}(e^x-e^{-x}) $ $y=\dfrac{1}{2}e^x+e^{-x} $
Arjun
asked
in
Differential Equations
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set1
differential-equations
0
answers
0
votes
GATE2015-1-27
Consider an ant crawling along the curve $(x-2)^2+y^2=4$ , where $x$ and $y$ are in meters. The ant starts at the point $(4, 0)$ and moves counter-clockwise with a speed of $1.57$ meters per second. The time taken by the ant to reach the point $(2, 2)$ is (in seconds) ____________
Arjun
asked
in
Calculus
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set1
numerical-answers
calculus
curves
0
answers
0
votes
GATE2015-1-26
Consider a spatial curve in three-dimensional space given in parametric form by $x(t)= \cos t, \:y(t)=\sin t, z(t)=\dfrac{2}{\pi } t \: 0\leq t\leq \dfrac{\pi }{2}$ The length of the curve is _______
Arjun
asked
in
Calculus
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set1
numerical-answers
calculus
curves
0
answers
0
votes
GATE2015-1-34
For a canteen, the actual demand for disposable cups was $500$ units in January and $600$ units in February. The forecast for the month of January was $400$ units. The forecast for the month of March considering smoothing coefficient as $0.75$ is ________
Arjun
asked
in
Materials, Manufacturing and Industrial Engineering
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set1
numerical-answers
materials-manufacturing-and-industrial-engineering
operations-research
0
answers
0
votes
GATE2015-1-33
Following data refers to the activities of a project, where, node $1$ refers to the start and node $5$ ... (CP) in the network is $1$-$2$-$3$-$5$ $1$-$4$-$3$-$5$ $1$-$2$-$3$-$4$-$5$ $1$-$4$-$5$
Arjun
asked
in
Materials, Manufacturing and Industrial Engineering
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set1
materials-manufacturing-and-industrial-engineering
operations-research
network-flow-models
0
answers
0
votes
GATE2015-1-32
A triangular facet in a CAD model has vertices: $P1(0,0,0)$; $P2(1,1,0)$ and $P3(1,1,1)$. The area of the facet is $0.500$ $0.707$ $1.414$ $1.732$
Arjun
asked
in
Materials, Manufacturing and Industrial Engineering
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set1
materials-manufacturing-and-industrial-engineering
computer-integrated-manufacturing
0
answers
0
votes
GATE2015-1-31
A DC welding power source has a linear voltage-current ($V$-$I$) characteristic with open circuit voltage of $80$ $V$ and a short circuit current of $300$ $A$. For maximum arc power, the current (in Amperes) should be set as_________
Arjun
asked
in
Materials, Manufacturing and Industrial Engineering
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set1
numerical-answers
materials-manufacturing-and-industrial-engineering
casting-forming-and-joining-process
principles-of-welding
0
answers
0
votes
GATE2015-1-30
In the assembly shown below, the part dimensions are: $L_1 = 22.0^{\pm 0.01} \: mm$, $L_2 = L_3$ = $10.0^{\pm 0.005} \: mm$. Assuming the normal distribution of part dimensions, the dimension $L_4$ in $mm$ for assembly condition would be: $2 .0^{\pm 0.008}$ $2 .0^{\pm 0.012}$ $2 .0^{\pm 0.016}$ $2 .0^{\pm 0.020}$
Arjun
asked
in
Materials, Manufacturing and Industrial Engineering
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set1
materials-manufacturing-and-industrial-engineering
metrology-and-inspection
limits
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