Questions by Arjun / GO Mechanical

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GATE Mechanical 2014 Set 2 | GA Question: 5
Fill in the missing number in the series. $2$ $3$ $6$ $15$ __________ $157.5$ $630$

Fill in the missing number in the series.$2$ $3$ $6$ $15$ __________ $157.5$ $630$

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | GA Question: 6
Find the odd one in the following group: $\begin{array}{llll} Q,W,Z,B & B,H,K,M & W,C,G,J & M,S,V,X \end{array}$ $Q,W,Z,B$ $B,H,K,M$ $W,C,G,J$ $M,S,V,X$

Find the odd one in the following group:$\begin{array}{llll} Q,W,Z,B & B,H,K,M & W,C,G,J & M,S,V,X \end{array}$$Q,W,Z,B$$B,H,K,M$$W,C,G,J$$M,S,V,X$

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | GA Question: 7
Lights of four colors (red, blue, green, yellow) are hung on a ladder. On every step of the ladder there are two lights. If one of the lights is red, the other light on that step will always be blue. If one of the lights on a step ... sum of the yellow and blue lights The sum of the red and blue lights is equal to the sum of the green and yellow lights

Lights of four colors (red, blue, green, yellow) are hung on a ladder. On every step of the ladder there are two lights. If one of the lights is red, the other light on t...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | GA Question: 8
The sum of eight consecutive odd numbers is $656$. The average of four consecutive even numbers is $87$. What is the sum of the smallest odd number and second largest even number?

The sum of eight consecutive odd numbers is $656$. The average of four consecutive even numbers is $87$. What is the sum of the smallest odd number and second largest eve...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | GA Question: 9
The total exports and revenues from the exports of a country are given in the two charts shown below. The pie chart for exports shows the quantity of each item exported as a percentage of the total quantity of exports. The pie chart for the revenues ... among the following has generated the maximum revenue per $kg$? Item $2$ Item $3$ Item $6$ Item $5$

The total exports and revenues from the exports of a country are given in the two charts shown below. The pie chart for exports shows the quantity of each item exported a...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | GA Question: 10
It takes $30$ minutes to empty a half-full tank by draining it at a constant rate. It is decided to simultaneously pump water into the half-full tank while draining it. What is the rate at which water has to be pumped in so that it gets ... $4$ times the draining rate $3$ times the draining rate $2.5$ times the draining rate $2$ times the draining rate

It takes $30$ minutes to empty a half-full tank by draining it at a constant rate. It is decided to simultaneously pump water into the half-full tank while draining it. W...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | GA Question: 1
Choose the most appropriate word from the options given below to complete the following sentence. Communication and interpersonal skills are__________ important in their own ways. each both all either

Choose the most appropriate word from the options given below to complete the following sentence.Communication and interpersonal skills are__________ important in their o...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | GA Question: 2
Which of the options given below best completes the following sentence? She will feel much better if she ________________. will get some rest gets some rest will be getting some rest is getting some rest

Which of the options given below best completes the following sentence?She will feel much better if she ________________.will get some restgets some restwill be getting s...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | GA Question: 3
Choose the most appropriate pair of words from the options given below to complete the following sentence. She could not _____ the thought of _________ the election to her bitter rival. bear, loosing bare, loosing bear, losing bare, losing

Choose the most appropriate pair of words from the options given below to complete the following sentence.She could not _____ the thought of _________ the election to her...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | GA Question: 4
A regular die has six sides with numbers $1$ to $6$ marked on its sides. If a very large number of throws show the following frequencies of occurrence: $1 \rightarrow 0.167; 2 \rightarrow 0.167; 3\rightarrow 0.152; 4 \rightarrow 0.166; 5\rightarrow 0.168; 6\rightarrow 0.180$. We call this die irregular biased Gaussian insufficient

A regular die has six sides with numbers $1$ to $6$ marked on its sides. If a very large number of throws show the following frequencies of occurrence: $1 \rightarrow 0....

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | Question: 55
A rectangular hole of size $100$ $mm \times 50$ $mm$ is to be made on a $5$ $mm$ thick sheet of steel having ultimate tensile strength and shear strength of $500$ $MPa$ and $300$ $MPa$, respectively. The hole is made by punching process. Neglecting the effect of clearance, the punching force (in $kN$) is $300$ $450$ $600$ $750$

A rectangular hole of size $100$ $mm \times 50$ $mm$ is to be made on a $5$ $mm$ thick sheet of steel having ultimate tensile strength and shear strength of $500$ $MPa$ a...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | Question: 42
A hemispherical furnace of $1$ m radius has the inner surface (emissivity, $\varepsilon =1$) of its roof maintained at $800$ $K$, while its floor ($\varepsilon =5.0$) is kept at $600 K$. Stefan-Boltzmann constant is $5.668 \times 10^−8$ $W / m^2$.$K^4$. The net radiative heat transfer (in $kW$) from the roof to the floor is _______

A hemispherical furnace of $1$ m radius has the inner surface (emissivity, $\varepsilon =1$) of its roof maintained at $800$ $K$, while its floor ($\varepsilon =5.0$) is...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | Question: 43
Water flows through a $10$ $mm$ diameter and $250$ $m$ long smooth pipe at an average velocity of $0.1 m/s$. The density and the viscosity of water are $997$ $kg/m^3$ and $855×10^−6$ $N.s/m^2$, respectively. Assuming fully-developed flow, the pressure drop (in $Pa$) in the pipe is _______

Water flows through a $10$ $mm$ diameter and $250$ $m$ long smooth pipe at an average velocity of $0.1 m/s$. The density and the viscosity of water are $997$ $kg/m^3$ and...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | Question: 44
A material P of thickness $1$ $mm$ is sandwiched between two steel slabs, as shown in the figure below. A heat flux $10$ $kW/m^2$ is supplied to one of the steel slabs as shown. The boundary temperatures of the slabs are indicated ... steady state heat conduction for the configuration, the thermal conductivity ($k$, in $W/m.K$) of material $P$ is _______

A material P of thickness $1$ $mm$ is sandwiched between two steel slabs, as shown in the figure below. A heat flux $10$ $kW/m^2$ is supplied to one of the steel slabs as...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | Question: 45
Consider laminar flow of water over a flat plate of length 1 m. If the boundary layer thickness at a distance of $0.25$ $m$ from the leading edge of the plate is $8$ $mm$, the boundary layer thickness (in $mm$), at a distance of $0.75$ $m$, is _______

Consider laminar flow of water over a flat plate of length 1 m. If the boundary layer thickness at a distance of $0.25$ $m$ from the leading edge of the plate is $8$ $mm$...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | Question: 46
In an ideal Brayton cycle, atmospheric air (ratio of specific heats, $c_p$/$c_v$ = $1.4$, specific heat at constant pressure = $1.005$ $kJ/kg.K$) at $1$ $bar$ and $300$ $K$ is compressed to $8$ $bar$. The maximum temperature in the cycle ... the heat is supplied at the rate of $80$ $MW$, the mass flow rate (in $kg/s$) of air required in the cycle is _______

In an ideal Brayton cycle, atmospheric air (ratio of specific heats, $c_p$/$c_v$ = $1.4$, specific heat at constant pressure = $1.005$ $kJ/kg.K$) at $1$ $bar$ and $300$ $...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | Question: 47
Steam at a velocity of $10$ $m/s$ enters the impulse turbine stage with symmetrical blading having blade angle $30^\circ $. The enthalpy drop in the stage is $100 kJ$. The nozzle angle is $20^\circ$. The maximum blade efficiency (in percent) is _______

Steam at a velocity of $10$ $m/s$ enters the impulse turbine stage with symmetrical blading having blade angle $30^\circ $. The enthalpy drop in the stage is $100 kJ$. Th...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | Question: 48
In a concentric counter flow heat exchanger, water flows through the inner tube at $25^\circ C$ and leaves at $42^\circ C$. The engine oil enters at $100^\circ C$ and flows in the annular flow passage. The exit temperature of the engine ... water and oil are $4178 J/kg.K$ and $2130 J/kg.K$, respectively. The effectiveness of this heat exchanger is _______

In a concentric counter flow heat exchanger, water flows through the inner tube at $25^\circ C$ and leaves at $42^\circ C$. The engine oil enters at $100^\circ C$ and flo...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | Question: 49
A heat pump with refrigerant $R22$ is used for space heating between temperature limits of $−20^\circ C$ and $25^ \circ C$. The heat required is $200 MJ/h$ ... $kJ/kg$) of the refrigerant at isentropic compressor discharge is _______

A heat pump with refrigerant $R22$ is used for space heating between temperature limits of $−20^\circ C$ and $25^ \circ C$. The heat required is $200 MJ/h$. Assume spec...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | Question: 50
A project has four activities $P, Q, R$ and $S$ ... $9$ days, the total cost (in Rupees) of the project is _______

A project has four activities $P, Q, R$ and $S$ as shown below.$$\begin{array}{|c|c|c|c|} \hline \text{Activity} & \text{Normal duration (days)} & \text{Predecessor} & \t...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | Question: 51
Consider the following data with reference to elementary deterministic economic order quantity model: ... The total number of economic orders per year to meet the annual demand is _______

Consider the following data with reference to elementary deterministic economic order quantity model:$$\begin{array}{|l |l|} \hline \text{Annual demand of an item} & 1000...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | Question: 52
For the CNC part programming, match Group A with Group B: ... $P-I, Q-III, R-II, S-IV$ $P-I, Q-IV, R-II, S-III$ $P-II, Q-I, R-III, S-IV$

For the CNC part programming, match Group A with Group B:$\begin{array}{|l|l|l|l|} \hline & \textbf{Group A} && \textbf{Group B} \\ \hline P: & \text{circular interpolati...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | Question: 53
A mild steel plate has to be rolled in one pass such that the final plate thickness is $2/3^{rd}$ of the initial thickness, with the entrance speed of $10 \: m/min$ and roll diameter of $500$ $mm$. If the plate widens by $2\%$ during rolling, the exit velocity (in $m/min$) is _______

A mild steel plate has to be rolled in one pass such that the final plate thickness is $2/3^{rd}$ of the initial thickness, with the entrance speed of $10 \: m/min$ and r...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | Question: 54
A hole of $20$ $mm$ diameter is to be drilled in a steel block of $40$ $mm$ thickness. The drilling is performed at rotational speed of $400$ $rpm$ and feed rate of $0.1$ $mm/rev$. The required approach and over run of the drill together is equal to the radius of drill. The drilling time (in minute) is $1.00$ $1.25$ $1.50$ $1.75$

A hole of $20$ $mm$ diameter is to be drilled in a steel block of $40$ $mm$ thickness. The drilling is performed at rotational speed of $400$ $rpm$ and feed rate of $0.1$...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | Question: 29
The value of $\int_{2.5}^{4} \ln(x)dx$ calculated using the Trapezoidal rule with five subintervals is _______

The value of $\int_{2.5}^{4} \ln(x)dx$ calculated using the Trapezoidal rule with five subintervals is _______

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | Question: 30
The flexural rigidity $(EI)$ of a cantilever beam is assumed to be constant over the length of the beam shown in figure. If a load $P$ and bending moment $PL/2$ ... $\dfrac{PL^2}{EI} \\$ $\dfrac{3}{2}\dfrac{PL^2}{EI} \\$ $\dfrac{5}{2}\dfrac{PL^2}{EI}$

The flexural rigidity $(EI)$ of a cantilever beam is assumed to be constant over the length of the beam shown in figure. If a load $P$ and bending moment $PL/2$ are appli...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | Question: 31
A cantilever beam of length, $L$, with uniform cross-section and flexural rigidity, $EI$, is loaded uniformly by a vertical load, $w$ per unit length. The maximum vertical deflection of the beam is given by $\dfrac{wL^4}{8EI} \\$ $\dfrac{wL^4}{16EI} \\$ $\dfrac{wL^4}{4EI} \\$ $\dfrac{wL^4}{24EI}$

A cantilever beam of length, $L$, with uniform cross-section and flexural rigidity, $EI$, is loaded uniformly by a vertical load, $w$ per unit length. The maximum vertica...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | Question: 32
For the three bolt system shown in the figure, the bolt material has shear yield strength of $200$ $MPa$. For a factor of safety of $2$, the minimum metric specification required for the bolt is $M8$ $M10$ $M12$ $M16$

For the three bolt system shown in the figure, the bolt material has shear yield strength of $200$ $MPa$. For a factor of safety of $2$, the minimum metric specification ...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | Question: 33
Consider a flywheel whose mass $M$ is distributed almost equally between a heavy, ring-like rim of radius $R$ and a concentric disk-like feature of radius $R/2$. Other parts of the flywheel, such as spokes, etc, have negligible mass. The best ... for $α$, if the moment of inertia of the flywheel about its axis of rotation is expressed as $αMR^2$, is _______

Consider a flywheel whose mass $M$ is distributed almost equally between a heavy, ring-like rim of radius $R$ and a concentric disk-like feature of radius $R/2$. Other pa...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | Question: 34
What is the natural frequency of the spring mass system shown below? The contact between the block and the inclined plane is frictionless. The mass of the block is denoted by m and the spring constants are denoted by $k_1$ and $k_2$ ... $\sqrt{\dfrac{k_1-k_2}{m}} \\$ $\sqrt{\dfrac{k_1+k_2}{m}}$

What is the natural frequency of the spring mass system shown below? The contact between the block and the inclined plane is frictionless. The mass of the block is denote...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | Question: 35
A disc clutch with a single friction surface has coefficient of friction equal to $0.3$. The maximum pressure which can be imposed on the friction material is $1.5$ $MPa$. The outer diameter of the clutch plate is $200$ $mm$ and its ... $mm$. Assuming uniform wear theory for the clutch plate, the maximum torque (in $N.m$) that can be transmitted is _______

A disc clutch with a single friction surface has coefficient of friction equal to $0.3$. The maximum pressure which can be imposed on the friction material is $1.5$ $MPa$...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | Question: 36
A truck accelerates up a $10^0$ incline with a crate of $100$ $kg$. Value of static coefficient of friction between the crate and the truck surface is $0.3$. The maximum value of acceleration (in $m$/$s^2$) of the truck such that the crate does not slide down is _______

A truck accelerates up a $10^0$ incline with a crate of $100$ $kg$. Value of static coefficient of friction between the crate and the truck surface is $0.3$. The maximum ...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | Question: 37
Maximum fluctuation of kinetic energy in an engine has been calculated to be $2600$ $J$. Assuming that the engine runs at an average speed of $200$ $rpm$, the polar mass moment of inertia (in $kg.m^2$) of a flywheel to keep the speed fluctuation within $±0.5$% of the average speed is _______

Maximum fluctuation of kinetic energy in an engine has been calculated to be $2600$ $J$. Assuming that the engine runs at an average speed of $200$ $rpm$, the polar mass ...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | Question: 38
Consider the two states of stress as shown in configurations I and II in the figure below. From the standpoint of distortion energy (von-Mises) criterion, which one of the following statements is true? $I$ yields after $II$ $II$ yields after $I$ Both yield simultaneously Nothing can be said about their relative yielding

Consider the two states of stress as shown in configurations I and II in the figure below. From the standpoint of distortion energy (von-Mises) criterion, which one of th...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | Question: 39
A rigid link $PQ$ of length $2$ $m$ rotates about the pinned end $Q$ with a constant angular acceleration of $12$ $rad$/$s^2$. When the angular velocity of the link is $4$ $rad$/$s$, the magnitude of the resultant acceleration (in $m$/$s^2$) of the end P is _______

A rigid link $PQ$ of length $2$ $m$ rotates about the pinned end $Q$ with a constant angular acceleration of $12$ $rad$/$s^2$. When the angular velocity of the link is $4...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | Question: 40
A spur pinion of pitch diameter $50$ $mm$ rotates at $200$ $rad/s$ and transmits $3 kW$ power. The pressure angle of the tooth of the pinion is $20^\circ$. Assuming that only one pair of the teeth is in contact, the total force (in newton) exerted by a tooth of the pinion on the tooth on a mating gear is _______

A spur pinion of pitch diameter $50$ $mm$ rotates at $200$ $rad/s$ and transmits $3 kW$ power. The pressure angle of the tooth of the pinion is $20^\circ$. Assuming that ...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | Question: 41
A spherical balloon with a diameter of $10 m$, shown in the figure below is used for advertisements. The balloon is filled with helium ($R_{He}$ = $2.08 \: kJ/kg.K$) at ambient conditions of $15^\circ C$ and $100 kPa$. Assuming no ... ) of balloon material and rope required to avoid the fall of the balloon ($R_{air} = 0.289$ $kJ/kg.K$) is _______

A spherical balloon with a diameter of $10 m$, shown in the figure below is used for advertisements. The balloon is filled with helium ($R_{He}$ = $2.08 \: kJ/kg.K$) at a...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | Question: 16
In a heat exchanger, it is observed that $ΔT_1$ = $ΔT_2$, where $ΔT_1$ is the temperature difference between the two single phase fluid streams at one end and $ΔT_2$ is the temperature difference at the other end. This heat exchanger is a condenser an evaporator a counter flow heat exchanger a parallel flow heat exchanger

In a heat exchanger, it is observed that $ΔT_1$ = $ΔT_2$, where $ΔT_1$ is the temperature difference between the two single phase fluid streams at one end and $ΔT_2$ ...

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | Question: 17
The difference in pressure (in $N/m^2$) across an air bubble of diameter $0.001$ $m$ immersed in water (surface tension $= 0.072$ $N/m$) is _______

The difference in pressure (in $N/m^2$) across an air bubble of diameter $0.001$ $m$ immersed in water (surface tension $= 0.072$ $N/m$) is _______

asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | Question: 18
If there are $m$ sources and $n$ destinations in a transportation matrix, the total number of basic variables in a basic feasible solution is $m + n$ $m + n + 1$ $m + n − 1$ $m$

If there are $m$ sources and $n$ destinations in a transportation matrix, the total number of basic variables in a basic feasible solution is$m + n$$m + n + 1$$m + n − ...

asked Feb 19, 2017