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GATE ME 2014 Set 4

All 65 solved GATE ME 2014 Set 4 questions in exam order. Open a question, commit to an answer, and learn from the step-by-step solution. One question at a time.

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100

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MECHANICAL – ME

11
Q11MCQ1 markEasy
Which one of the following equations is a correct identity for arbitrary $3 \times 3$ real matrices $P, Q$ and $R$ ?
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Question
$3 \times 3$
Your answer
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A. $P(Q + R) = PQ + RP$ B. $(P - Q)^2 = P^2 - 2PQ + Q^2$ C. $\det (P + Q) = \det P + \det Q$ D. $(P + Q)^2 = P^2 + PQ + QP + Q^2$
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$P(Q + R) = PQ + PR$
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12
Q12MCQ1 markEasy
The value of the integral $\int_{0}^{2} \frac{(x - 1)^2 \sin(x - 1)}{(x - 1)^2 + \cos(x - 1)} dx$ is
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Question
$\int_{0}^{2} \frac{(x - 1)^2 \sin(x - 1)}{(x - 1)^2 + \cos(x - 1)} dx$
Your answer
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A. $3$ B. $0$ C. $-1$ D. $-2$
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$t = x - 1$
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13
Q13MCQ1 markEasy
The solution of the initial value problem $\frac{dy}{dx} = -2xy; y(0) = 2$ is
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Question
$\frac{dy}{dx} = -2xy; y(0) = 2$
Your answer
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A. $1 + e^{-x^2}$ B. $2 e^{-x^2}$ C. $1 + e^{x^2}$ D. $2 e^{x^2}$
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$\frac{dy}{y} = -2x dx$
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14
Q14NAT1 markEasy
A nationalized bank has found that the daily balance available in its savings accounts follows a normal distribution with a mean of Rs. $500$ and a standard deviation of Rs. $50$ .…
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Question
$500$
Your answer
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Numerical answer
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$X$
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15
Q15MCQ1 markEasy
Laplace transform of $\cos(\omega t)$ is $\frac{s}{s^2 + \omega^2}$ . The Laplace transform of $e^{-2t} \cos(4t)$ is
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Question
$\cos(\omega t)$
Your answer
Choose one option, then check your answer.
A. $\frac{s-2}{(s-2)^2 + 16}$ B. $\frac{s+2}{(s-2)^2 + 16}$ C. $\frac{s-2}{(s+2)^2 + 16}$ D. $\frac{s+2}{(s+2)^2 + 16}$
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$L\{\cos(\omega t)\} = \frac{s}{s^2 + \omega^2}$
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16
Q16MCQ1 markEasy
In a statically determinate plane truss, the number of joints ( $j$ ) and the number of members ( $m$ ) are related by
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Question
$j$
Your answer
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A. $j = 2m - 3$ B. $m = 2j + 1$ C. $m = 2j - 3$ D. $m = 2j - 1$
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$m$
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17
Q17NAT1 markEasy
If the Poisson's ratio of an elastic material is $0.4$ , the ratio of modulus of rigidity to Young's modulus is _______
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Question
$0.4$
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$E$
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18
Q18MCQ1 markEasy
Which one of the following is used to convert a rotational motion into a translational motion?
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Question
$Which one of the following is used to convert a rotational motion into a translational motion?$
Your answer
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A. $Bevel gears$ B. $Double helical gears$ C. $Worm gears$ D. $Rack and pinion gears$
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$Correct answer (D) Rack and pinion gears Step-by-step solution Rack and pinion gears are specifically designed to convert rotational motion (from the pinion) into linear/translational motion (of the rack). Bevel gears are used to transmit power between intersecting shafts. Helical and worm gears are used to transmit power between parallel or non-parallel shafts, maintaining rotational motion. Turn this into a strength. Explore AI-powered practice and doubt support with Success Tracker.$
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19
Q19NAT1 markEasy
The number of independent elastic constants required to define the stress-strain relationship for an isotropic elastic solid is _______
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Question
$The number of independent elastic constants required to define the stress-strain relationship for an isotropic elastic solid is_______$
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$E$
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20
Q20NAT1 markEasy
A point mass is executing simple harmonic motion with an amplitude of 10 mm and frequency of 4 Hz. The maximum acceleration ( $m/s^2$ ) of the mass is _______
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Question
$m/s^2$
Your answer
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$A = 10$
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21
Q21NAT1 markMedium
Ball bearings are rated by a manufacturer for a life of $10^6$ revolutions. The catalogue rating of a particular bearing is 16 kN. If the design load is 2 kN, the life of the…
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Question
$10^6$
Your answer
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$C$
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22
Q22MCQ1 markEasy
As the temperature increases, the thermal conductivity of a gas
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Question
$As the temperature increases, the thermal conductivity of a gas$
Your answer
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A. $increases$ B. $decreases$ C. $remains constant$ D. $increases up to a certain temperature and then decreases$
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$k$
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23
Q23NAT1 markEasy
A reversed Carnot cycle refrigerator maintains a temperature of –5° C. The ambient air temperature is 35°C. The heat gained by the refrigerator at a continuous rate is 2.5 kJ/s.…
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Question
$A reversed Carnot cycle refrigerator maintains a temperature of -5° C. The ambient air temperature is 35°C. The heat gained by the refrigerator at a continuous rate is 2.5 kJ/s. The power (in watt) required to pump this heat out continuously is__________$
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$T_L = -5^\circ \text{C} = -5 + 273 = 268$
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24
Q24MCQ1 markEasy
A flow field which has only convective acceleration is
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Question
$A flow field which has only convective acceleration is$
Your answer
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A. $a steady uniform flow$ B. $an unsteady uniform flow$ C. $a steady non-uniform flow$ D. $an unsteady non-uniform flow$
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$\vec{V}$
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Q25MCQ1 markEasy

Match Group A with Group B | Group A | Group B | |:--------|:--------| | P: Biot number | 1: Ratio of buoyancy to viscous force | | Q: Grashof number | 2: Ratio of inertia force…

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Question

Match Group A with Group B Group A Group B P: Biot number 1: Ratio of buoyancy to viscous force Q: Grashof number 2: Ratio of inertia force to viscous force R: Prandtl number 3: Ratio of momentum to thermal diffusivities S: Reynolds number 4: Ratio of internal thermal resistance to boundary layer thermal resistance

Group A	Group B
P: Biot number	1: Ratio of buoyancy to viscous force
Q: Grashof number	2: Ratio of inertia force to viscous force
R: Prandtl number	3: Ratio of momentum to thermal diffusivities
S: Reynolds number	4: Ratio of internal thermal resistance to boundary layer thermal resistance

Correct answer (A) P-4, Q-1, R-3, S-2 Step-by-step solution Let's match the dimensionless numbers in Group A with their definitions in Group B: P: Biot number (Bi) The Biot number is a dimensionless quantity used in heat transfer calculations. It is the ratio of the heat transfer resistance inside a body to the heat transfer resistance at the surface of the body. More precisely, it is the ratio of internal thermal resistance to boundary layer thermal resistance. So, P-4 . Q: Grashof number (Gr) The Grashof number is a dimensionless number in fluid dynamics and heat transfer that approximates the ratio of the buoyancy force to the viscous force acting on a fluid. It is often used in natural convection problems. So, Q-1 . R: Prandtl number (Pr) The Prandtl number is a dimensionless number, approximately the ratio of momentum diffusivity (kinematic viscosity) to thermal diffusivity. It relates the relative thickness of the hydrodynamic and thermal boundary layers. So, R-3 . S: Reynolds number (Re) The Reynolds number is a dimensionless quantity that is used to predict flow patterns in different fluid flow situations. It is the ratio of inertia forces to viscous forces. So, S-2 . Combining these matches: P-4 Q-1 R-3 S-2 This corresponds to option (A). Turn this into a strength. Explore AI-powered practice and doubt support with Success Tracker.

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Correct answer (A) P-4, Q-1, R-3, S-2 Step-by-step solution Let's match the dimensionless numbers in Group A with their definitions in Group B: P: Biot number (Bi) The Biot number is a dimensionless quantity used in heat transfer calculations. It is the ratio of the heat transfer resistance inside a body to the heat transfer resistance at the surface of the body. More precisely, it is the ratio of internal thermal resistance to boundary layer thermal resistance. So, P-4 . Q: Grashof number (Gr) The Grashof number is a dimensionless number in fluid dynamics and heat transfer that approximates the ratio of the buoyancy force to the viscous force acting on a fluid. It is often used in natural convection problems. So, Q-1 . R: Prandtl number (Pr) The Prandtl number is a dimensionless number, approximately the ratio of momentum diffusivity (kinematic viscosity) to thermal diffusivity. It relates the relative thickness of the hydrodynamic and thermal boundary layers. So, R-3 . S: Reynolds number (Re) The Reynolds number is a dimensionless quantity that is used to predict flow patterns in different fluid flow situations. It is the ratio of inertia forces to viscous forces. So, S-2 . Combining these matches: P-4 Q-1 R-3 S-2 This corresponds to option (A).

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26
Q26MCQ1 markEasy
Kaplan water turbine is commonly used when the flow through its runner is
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Question
$Kaplan water turbine is commonly used when the flow through its runner is$
Your answer
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A. $axial and the head available is more than 100 m$ B. $axial and the head available is less than 10 m$ C. $radial and the head available is more than 100 m$ D. $mixed and the head available is about 50 m$
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$Correct answer (B) axial and the head available is less than 10 m Step-by-step solution Kaplan turbine is an axial flow reaction turbine. It is designed for low head and high discharge applications. Among the given options, axial flow with a head less than 10 m is the most appropriate characteristic for its typical operating range. Turn this into a strength. Explore AI-powered practice and doubt support with Success Tracker.$
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27
Q27MCQ1 markEasy
Moist air at $35^\circ\text{C}$ and $100\%$ relative humidity is entering a psychrometric device and leaving at $25^\circ\text{C}$ and $100\%$ relative humidity. The name of the…
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Question
$35^\circ\text{C}$
Your answer
Choose one option, then check your answer.
A. $Humidifier$ B. $Dehumidifier$ C. $Sensible heater$ D. $Sensible cooler$
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$35^\circ\text{C}$
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28
Q28MCQ1 markEasy
The total number of decision variables in the objective function of an assignment problem of size $n \times n$ ( $n$ jobs and $n$ machines) is
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Question
$n \times n$
Your answer
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A. $n^2$ B. $2n$ C. $2n - 1$ D. $n$
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$n \times n$
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29
Q29NAT1 markEasy
Demand during lead time with associated probabilities is shown below: | Demand | 50 | 70 | 75 | 80 | 85 | | :--- | :--- | :--- | :--- | :--- | :--- | | Probability | 0.15 | 0.14 |…
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Question
$Demand during lead time with associated probabilities is shown below: Demand 5070758085 Probability 0.15 0.14 0.21 0.20 0.30 Expected demand during lead time is_______$
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$E(D) = \sum_{i=1}^{n} D_i \cdot P(D_i)$
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30
Q30MCQ1 markEasy
Within the Heat Affected Zone (HAZ) in a fusion welding process, the work material undergoes
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Question
$Within the Heat Affected Zone (HAZ) in a fusion welding process, the work material undergoes$
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A. $microstructural changes but does not melt$ B. $neither melting nor microstructural changes$ C. $both melting and microstructural changes after solidification$ D. $melting and retains the original microstructure after solidification$
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$Correct answer (A) microstructural changes but does not melt Step-by-step solution The Heat Affected Zone (HAZ) is the area of base material which has had its microstructure and properties altered by intensive heat-induction during welding, but it is defined by the fact that it has not reached the melting temperature. Therefore, it undergoes microstructural changes without melting. Turn this into a strength. Explore AI-powered practice and doubt support with Success Tracker.$
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31
Q31NAT1 markMedium
Two separate slab milling operations, 1 and 2, are performed with identical milling cutters. The depth of cut in operation 2 is twice that in operation 1. The other cutting…
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Question
$Two separate slab milling operations, 1 and 2, are performed with identical milling cutters. The depth of cut in operation 2 is twice that in operation 1. The other cutting parameters are identical. The ratio of maximum uncut chip thicknesses in operations 1 and 2 is_______$
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$t_{max}$
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32
Q32MCQ1 markEasy
The principle of material removal in Electrochemical machining is
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Question
$The principle of material removal in Electrochemical machining is$
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A. $Fick's law$ B. $Faraday's laws$ C. $Kirchhoff'’s laws$ D. $Ohm’s law$
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$Correct answer (B) Faraday's laws Step-by-step solution Electrochemical machining (ECM) is based on Faraday's laws of electrolysis. It removes material by anodic dissolution in an electrolytic cell, where the workpiece acts as the anode and the tool as the cathode. Turn this into a strength. Explore AI-powered practice and doubt support with Success Tracker.$
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33
Q33MCQ1 markMedium
Better surface finish is obtained with a large rake angle because
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Question
$Better surface finish is obtained with a large rake angle because$
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A. $the area of shear plane decreases resulting in the decrease in shear force and cutting force$ B. $the tool becomes thinner and the cutting force is reduced$ C. $less heat is accumulated in the cutting zone$ D. $the friction between the chip and the tool is less$
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$Correct answer (A) the area of shear plane decreases resulting in the decrease in shear force and cutting force Step-by-step solution Increasing the rake angle reduces the shear plane area, which in turn reduces the cutting forces and power consumption. Lower cutting forces generally lead to reduced tool vibration and better surface finish on the workpiece. Turn this into a strength. Explore AI-powered practice and doubt support with Success Tracker.$
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34
Q34MCQ1 markEasy
Match the heat treatment processes (Group A) and their associated effects on properties (Group B) of medium carbon steel | Group A | Group B | | :--- | :--- | | P:…
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Question
$Match the heat treatment processes (Group A) and their associated effects on properties (Group B) of medium carbon steel Group A Group B P: Tempering I: Strengthening and grain refinement Q: Quenching II: Inducing toughness R: Annealing III: Hardening S: Normalizing IV: Softening$
Your answer
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A. $P-III, Q-IV, R-II, S-I$ B. $P-II, Q-III, R-IV, S-I$ C. $P-III, Q-II, R-IV, S-I$ D. $P-II, Q-III, R-I, S-IV$
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$Correct answer (B) P-II, Q-III, R-IV, S-I Step-by-step solution The correct matching is: Tempering (P) : Induces toughness and reduces brittleness (II). Quenching (Q) : Increases hardness by rapid cooling (III). Annealing (R) : Softens the material to improve machinability and ductility (IV). Normalizing (S) : Refines the grain structure and improves strength (I). Thus, the correct sequence is P-II, Q-III, R-IV, S-I. Turn this into a strength. Explore AI-powered practice and doubt support with Success Tracker.$
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35
Q35MCQ1 markEasy
In a rolling process, the maximum possible draft, defined as the difference between the initial and the final thickness of the metal sheet, mainly depends on which pair of the…
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Question
$In a rolling process, the maximum possible draft, defined as the difference between the initial and the final thickness of the metal sheet, mainly depends on which pair of the following parameters? P: Strain Q: Strength of the work material R: Roll diameter S: Roll velocity T: Coefficient of friction between roll and work$
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A. $Q, S$ B. $R, T$ C. $S, T$ D. $P, R$
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$\Delta h_{max} = \mu^2 R$
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36
Q36MCQ2 marksMedium
If $z$ is a complex variable, the value of $\int_5^{3i} \frac{dz}{z}$ is
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Question
$z$
Your answer
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A. $- 0.511 - 1.57i$ B. $- 0.511 + 1.57i$ C. $0.511 - 1.57i$ D. $0.511 + 1.57i$
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$I = \int_5^{3i} \frac{dz}{z}$
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37
Q37MCQ2 marksEasy
The value of the integral $\int_0^1 \int_0^x e^{x+y} dy dx$ is
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Question
$\int_0^1 \int_0^x e^{x+y} dy dx$
Your answer
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A. $\frac{1}{2}(e-1)$ B. $\frac{1}{2}(e-1)^2$ C. $\frac{1}{2}(e^2-e)$ D. $\frac{1}{2}(e-\frac{1}{e})^2$
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$\int_0^x e^{x+y} dy = e^x \int_0^x e^y dy = e^x [e^y]_0^x = e^x (e^x - 1) = e^{2x} - e^x$
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38
Q38MCQ2 marksMedium
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…
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Question
$The number of accidents occurring in a plant in a month follows Poisson distribution with mean as 5.2. The probability of occurrence of less than 2 accidents in the plant during a randomly selected month is$
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A. $0.029$ B. $0.034$ C. $0.039$ D. $0.044$
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$k$
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39
Q39MCQ2 marksMedium
Consider an ordinary differential equation $\frac{dx}{dt} = 4t + 4$ . If $x = x_0$ at $t = 0$ , the increment in $x$ calculated using Runge-Kutta fourth order multi-step method with…
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Question
$\frac{dx}{dt} = 4t + 4$
Your answer
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A. $0.22$ B. $0.44$ C. $0.66$ D. $0.88$
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$\frac{dx}{dt} = f(t, x) = 4t + 4$
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40
Q40NAT2 marksMedium
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…
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$100$
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$\sigma_1 = \tau, \sigma_2 = -\tau, \sigma_3 = 0$
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41
Q41NAT2 marksMedium
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…
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$100$
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$r$
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42
Q42MCQ2 marksMedium
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 [figure] All dimensions are in m
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Question
$F_1$
Your answer
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A. $11.25 tension$ B. $11.25 compression$ C. $13.5 tension$ D. $13.5 compression$
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$T$
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43
Q43MCQ2 marksMedium
It is desired to avoid interference in a pair of spur gears having a 20° pressure angle. With increase in pinion to gear speed ratio, the minimum number of teeth on the pinion
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Question
$It is desired to avoid interference in a pair of spur gears having a 20° pressure angle. With increase in pinion to gear speed ratio, the minimum number of teeth on the pinion$
Your answer
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A. $increases$ B. $decreases$ C. $first increases and then decreases$ D. $remains unchanged$
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$T_p = \frac{2 A_w}{G \left[ \sqrt{1 + \frac{1}{G} \left( \frac{1}{G} + 2 \right) \sin^2 \phi} - 1 \right]}$
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44
Q44NAT2 marksMedium
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…
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$rad/s^2$
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$L = 8$
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45
Q45NAT2 marksMedium
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…
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$mm^2$
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$d = 12$
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46
Q46MCQ2 marksMedium
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…
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Question
$P$
Your answer
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A. $\frac{1}{3} \frac{PL^3}{EI}$ B. $\frac{2}{3} \frac{PL^3}{EI}$ C. $\frac{PL^3}{EI}$ D. $\frac{4}{3} \frac{PL^3}{EI}$
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$A$
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47
Q47MCQ2 marksMedium
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…
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Question
$Y-Y$
Your answer
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A. $490.5 and 0.5$ B. $981 and 0.5$ C. $1000.5 and 0.15$ D. $1000.5 and 0.25$
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$W = mg = 100 \times 9.81 = 981$
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48
Q48NAT2 marksHard
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 _______ [figure]
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$^2$
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$0 \le \theta \le \pi/2$
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49
Q49NAT2 marksMedium
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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Question
$A single degree of freedom system has a mass of 2 kg, stiffness 8 N/m and viscous damping ratio 0.02. The dynamic magnification factor at an excitation frequency of 1.5 rad/s is_______$
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$m = 2$
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50
Q50NAT2 marksMedium
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…
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$AB$
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$B$
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51
Q51NAT2 marksMedium
A closed system contains $10$ kg of saturated liquid ammonia at $10^\circ\text{C}$ . Heat addition required to convert the entire liquid into saturated vapour at a constant…
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$10$
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$\Delta S = m(s_g - s_f) = \frac{Q}{T}$
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52
Q52NAT2 marksEasy
A plane wall has a thermal conductivity of $1.15$ W/m.K. If the inner surface is at $1100^\circ\text{C}$ and the outer surface is at $350^\circ\text{C}$ , then the design thickness…
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$1.15$
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$q = k \frac{T_i - T_o}{L}$
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53
Q53MCQ2 marksEasy
Consider the following statements regarding streamline(s): (i) It is a continuous line such that the tangent at any point on it shows the velocity vector at that point (ii) There…
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$\frac{dx}{u} = \frac{dy}{v} = \frac{dz}{w}$
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A. $(i), (ii), (iv)$ B. $(ii), (iii), (iv)$ C. $(i), (iii), (iv)$ D. $(i), (ii), (iii)$
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$\vec{V} \times d\vec{r} = 0$
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54
Q54MCQ2 marksMedium
Consider a velocity field $\vec{V} = K(y\hat{i} + x\hat{k})$ , where $K$ is a constant. The vorticity, $\Omega_z$ , is
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Question
$\vec{V} = K(y\hat{i} + x\hat{k})$
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A. $-K$ B. $K$ C. $-K/2$ D. $K/2$
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$\vec{\Omega} = \nabla \times \vec{V}$
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55
Q55NAT2 marksMedium
Water flows through a tube of diameter $25\text{ mm}$ at an average velocity of $1.0\text{ m/s}$ . The properties of water are $\rho = 1000\text{ kg/m}^3$ ,…
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$25\text{ mm}$
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$h$
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56
Q56NAT2 marksMedium
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…
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$Two identical metal blocks L and M (specific heat = 0.4 kJ/kg.K), each having a mass of 5 kg, are initially at 313 K. A reversible refrigerator extracts heat from block L and rejects heat to block M until the temperature of block L reaches 293 K. The final temperature (in K) of block M is_______$
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$\Delta S_{total} = \Delta S_L + \Delta S_M = 0$
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57
Q57NAT2 marksMedium
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,…
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$h$
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$\dot{m}_1 = 10$
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58
Q58MCQ2 marksEasy
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…
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$Two infinite parallel plates are placed at a certain distance apart. An infinite radiation shield is inserted between the plates without touching any of them to reduce heat exchange between the plates. Assume that the emissivities of plates and radiation shield are equal. The ratio of the net heat exchange between the plates with and without the shield is$
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A. $1/2$ B. $1/3$ C. $1/4$ D. $1/8$
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$Q_{without} = \frac{\sigma(T_1^4 - T_2^4)}{\frac{1}{\epsilon_1} + \frac{1}{\epsilon_2} - 1}$
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59
Q59NAT2 marksMedium
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…
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$\gamma$
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$P_1 = 1$
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60
Q60MCQ2 marksMedium
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 |…
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$e$
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A. $0 and 4$ B. $1 and 4$ C. $2 and 3$ D. $3 and 1$
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$\rightarrow 2 + 2 + 2 + 5 = 11$
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61
Q61NAT2 marksMedium
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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Question
$At a work station, 5 jobs arrive every minute. The mean time spent on each job in the work station is 1/8 minute. The mean steady state number of jobs in the system is__________$
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$\lambda = 5$
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62
Q62MCQ2 marksMedium
A GO-No GO plug gauge is to be designed for measuring a hole of nominal diameter $25\text{ mm}$ with a hole tolerance of $\pm 0.015\text{ mm}$ . Considering $10\%$ of work…
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$25\text{ mm}$
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A. $24.985^{+0.003}_{-0.003}$ B. $25.015^{+0.000}_{-0.006}$ C. $24.985^{+0.03}_{-0.03}$ D. $24.985^{+0.003}_{-0.000}$
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$25\text{ mm}$
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63
Q63NAT2 marksMedium
A cylindrical riser of $6\text{ cm}$ diameter and $6\text{ cm}$ height has to be designed for a sand casting mould for producing a steel rectangular plate casting of…
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$6\text{ cm}$
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$t_s$
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64
Q64NAT2 marksMedium
A cast iron block of $200\text{ mm}$ length is being shaped in a shaping machine with a depth of cut of $4\text{ mm}$ , feed of $0.25\text{ mm/stroke}$ and the tool principal…
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$200\text{ mm}$
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$V_{stroke} = \text{Length} \times \text{Feed} \times \text{Depth of cut}$
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65
Q65NAT2 marksMedium
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…
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$500$
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$\sigma_y = 500$
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Demand	50	70	75	80	85
Probability	0.15	0.14	0.21	0.20	0.30

Group A	Group B
P: Tempering	I: Strengthening and grain refinement
Q: Quenching	II: Inducing toughness
R: Annealing	III: Hardening
S: Normalizing	IV: Softening

Activity	Predecessors	Duration (days)
a	-	2
b	-	4
c	a	2
d	b	3
e	c	2
f	c	4
g	d, e	5

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