The PYQ practice room

GATE ME 2015 Set 2

All 65 solved GATE ME 2015 Set 2 questions in exam order. Open a question, commit to an answer, and learn from the step-by-step solution. One question at a time.

Attempt before revealInstant answer feedbackExplore questions

Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.

Questions

Paper marks

100

Question formats

MCQ · NAT

Revision mode

Self-paced

No timer. Focus on understanding.

Difficulty mixEasy 35Medium 29Hard 1

Explore the questions

65 of 65 questions

Question typeDifficultyYour progress

Mechanical Engineering

11
Q11MCQ1 markEasy
At least one eigenvalue of a singular matrix is
Think it through. Then check your answer.
Question
$At least one eigenvalue of a singular matrix is$
Your answer
Choose one option, then check your answer.
A. $positive$ B. $zero$ C. $negative$ D. $imaginary$
Restoring your progress…
The solution stays hidden until you check.
$\|A\| = \prod \lambda_i$
Open question page
12
Q12MCQ1 markEasy
At $x = 0$ , the function $f(x) = |x|$ has
Think it through. Then check your answer.
Question
$x = 0$
Your answer
Choose one option, then check your answer.
A. $a minimum$ B. $a maximum$ C. $a point of inflexion$ D. $neither a maximum nor minimum$
Restoring your progress…
The solution stays hidden until you check.
$f(x) = |x|$
Open question page
13
Q13MCQ1 markEasy
Curl of vector $\mathbf{V}(x, y, z) = 2x^2\mathbf{i} + 3z^2\mathbf{j} + y^3\mathbf{k}$ at $x = y = z = 1$ is
Think it through. Then check your answer.
Question
$\mathbf{V}(x, y, z) = 2x^2\mathbf{i} + 3z^2\mathbf{j} + y^3\mathbf{k}$
Your answer
Choose one option, then check your answer.
A. $-3\mathbf{i}$ B. $3\mathbf{i}$ C. $3\mathbf{i} - 4\mathbf{j}$ D. $3\mathbf{i} - 6\mathbf{k}$
Restoring your progress…
The solution stays hidden until you check.
$\mathbf{V} = V_x\mathbf{i} + V_y\mathbf{j} + V_z\mathbf{k}$
Open question page
14
Q14MCQ1 markEasy
The Laplace transform of $e^{i5t}$ where $i = \sqrt{-1}$ , is
Think it through. Then check your answer.
Question
$e^{i5t}$
Your answer
Choose one option, then check your answer.
A. $\frac{s - 5i}{s^2 - 25}$ B. $\frac{s + 5i}{s^2 + 25}$ C. $\frac{s + 5i}{s^2 - 25}$ D. $\frac{s - 5i}{s^2 + 25}$
Restoring your progress…
The solution stays hidden until you check.
$\mathcal{L}\{e^{at}\} = \frac{1}{s - a}$
Open question page
15
Q15NAT1 markEasy
Three vendors were asked to supply a very high precision component. The respective probabilities of their meeting the strict design specifications are 0.8, 0.7 and 0.5. Each…
Think it through. Then check your answer.
Question
$Three vendors were asked to supply a very high precision component. The respective probabilities of their meeting the strict design specifications are 0.8, 0.7 and 0.5. Each vendor supplies one component. The probability that out of total three components supplied by the vendors, at least one will meet the design specification is________$
Your answer
Enter a number. Decimals, negative values and scientific notation are accepted.
Numerical answer
Restoring your progress…
The solution stays hidden until you check.
$P(A) = 0.8 \implies P(\bar{A}) = 1 - 0.8 = 0.2$
Open question page
16
Q16NAT1 markMedium
A small ball of mass $1$ kg moving with a velocity of $12$ m/s undergoes a direct central impact with a stationary ball of mass $2$ kg. The impact is perfectly elastic. The speed…
Think it through. Then check your answer.
Question
$1$
Your answer
Enter a number. Decimals, negative values and scientific notation are accepted.
Numerical answer
Restoring your progress…
The solution stays hidden until you check.
$m_1 = 1$
Open question page
17
Q17NAT1 markMedium
A rod is subjected to a uni-axial load within linear elastic limit. When the change in the stress is $200$ MPa, the change in the strain is $0.001$ . If the Poisson’s ratio of the…
Think it through. Then check your answer.
Question
$200$
Your answer
Enter a number. Decimals, negative values and scientific notation are accepted.
Numerical answer
Restoring your progress…
The solution stays hidden until you check.
$\Delta \sigma = 200$
Open question page
18
Q18MCQ1 markMedium
A gas is stored in a cylindrical tank of inner radius $7$ m and wall thickness $50$ mm. The gage pressure of the gas is $2$ MPa. The maximum shear stress (in MPa) in the wall is
Think it through. Then check your answer.
Question
$7$
Your answer
Choose one option, then check your answer.
A. $35$ B. $70$ C. $140$ D. $280$
Restoring your progress…
The solution stays hidden until you check.
$r = 7$
Open question page
19
Q19MCQ1 markMedium
The number of degrees of freedom of the planetary gear train shown in the figure is [figure]
Think it through. Then check your answer.
Question
$The number of degrees of freedom of the planetary gear train shown in the figure is$
Your answer
Choose one option, then check your answer.
A. $0$ B. $1$ C. $2$ D. $3$
Restoring your progress…
The solution stays hidden until you check.
$F = 3(n - 1) - 2j - h$
Open question page
20
Q20NAT1 markMedium
In a spring-mass system, the mass is $m$ and the spring constant is $k$ . The critical damping coefficient of the system is $0.1$ kg/s. In another spring-mass system, the mass is…
Think it through. Then check your answer.
Question
$m$
Your answer
Enter a number. Decimals, negative values and scientific notation are accepted.
Numerical answer
Restoring your progress…
The solution stays hidden until you check.
$c_c = 2\sqrt{mk}$
Open question page
21
Q21NAT1 markEasy
The uniaxial yield stress of a material is 300 MPa. According to von Mises criterion, the shear yield stress (in MPa) of the material is __________
Think it through. Then check your answer.
Question
$The uniaxial yield stress of a material is 300 MPa. According to von Mises criterion, the shear yield stress (in MPa) of the material is__________$
Your answer
Enter a number. Decimals, negative values and scientific notation are accepted.
Numerical answer
Restoring your progress…
The solution stays hidden until you check.
$\sigma_y$
Open question page
22
Q22MCQ1 markEasy
If the fluid velocity for a potential flow is given by $V(x, y) = u(x, y)\mathbf{i} + v(x, y)\mathbf{j}$ with usual notations, then the slope of the potential line at $(x, y)$ is
Think it through. Then check your answer.
Question
$V(x, y) = u(x, y)\mathbf{i} + v(x, y)\mathbf{j}$
Your answer
Choose one option, then check your answer.
A. $\frac{v}{u}$ B. $-\frac{u}{v}$ C. $\frac{v^2}{u^2}$ D. $\frac{u}{v}$
Restoring your progress…
The solution stays hidden until you check.
$\phi(x, y)$
Open question page
23
Q23MCQ1 markEasy
Which of the following statements regarding a Rankine cycle with reheating are TRUE? (i) increase in average temperature of heat addition (ii) reduction in thermal efficiency…
Think it through. Then check your answer.
Question
$Which of the following statements regarding a Rankine cycle with reheating are TRUE ? (i) increase in average temperature of heat addition (ii) reduction in thermal efficiency (iii) drier steam at the turbine exit$
Your answer
Choose one option, then check your answer.
A. $only (i) and (ii) are correct$ B. $only (ii) and (iii) are correct$ C. $only (i) and (iii) are correct$ D. $(i), (ii) and (iii) are correct$
Restoring your progress…
The solution stays hidden until you check.
$Correct answer(C) only (i) and (iii) are correctStep-by-step solutionReheating in a Rankine cycle has the following effects:(i) TRUE: It increases the average temperature of heat addition, which generally leads to an increase in thermal efficiency.(ii) FALSE: Reheating is designed to increase thermal efficiency and work output, not reduce it.(iii) TRUE: By reheating the steam after partial expansion, the expansion in the low-pressure turbine ends at a higher dryness fraction, resulting in drier steam at the exit and protecting turbine blades from erosion.Therefore, statements (i) and (iii) are correct.Turn this into a strength.Explore AI-powered practice and doubt support with Success Tracker.$
Open question page
24
Q24MCQ1 markEasy
Within a boundary layer for a steady incompressible flow, the Bernoulli equation
Think it through. Then check your answer.
Question
$Within a boundary layer for a steady incompressible flow, the Bernoulli equation$
Your answer
Choose one option, then check your answer.
A. $holds because the flow is steady$ B. $holds because the flow is incompressible$ C. $holds because the flow is transitional$ D. $does not hold because the flow is frictional$
Restoring your progress…
The solution stays hidden until you check.
$Correct answer (D) does not hold because the flow is frictional Step-by-step solution Bernoulli's equation is derived from Euler's equation, which assumes inviscid (frictionless) flow. Inside a boundary layer, viscous (frictional) forces are significant and cannot be neglected. Therefore, the Bernoulli equation does not hold within the boundary layer. Turn this into a strength. Explore AI-powered practice and doubt support with Success Tracker.$
Open question page
25
Q25NAT1 markEasy
If a foam insulation is added to a $4\text{ cm}$ outer diameter pipe as shown in the figure, the critical radius of insulation (in cm) is ___________
Think it through. Then check your answer.
Question
$4\text{ cm}$
Your answer
Enter a number. Decimals, negative values and scientific notation are accepted.
Numerical answer
Restoring your progress…
The solution stays hidden until you check.
$r_c = \frac{k}{h_o}$
Open question page
26
Q26MCQ1 markEasy
In the laminar flow of air ( $Pr = 0.7$ ) over a heated plate, if $\delta$ and $\delta_T$ denote, respectively, the hydrodynamic and thermal boundary layer thicknesses, then
Think it through. Then check your answer.
Question
$Pr = 0.7$
Your answer
Choose one option, then check your answer.
A. $\delta = \delta_T$ B. $\delta > \delta_T$ C. $\delta < \delta_T$ D. $\delta = 0$
Restoring your progress…
The solution stays hidden until you check.
$\delta$
Open question page
27
Q27NAT1 markEasy
The COP of a Carnot heat pump operating between $6^\circ\text{C}$ and $37^\circ\text{C}$ is ___________
Think it through. Then check your answer.
Question
$6^\circ\text{C}$
Your answer
Enter a number. Decimals, negative values and scientific notation are accepted.
Numerical answer
Restoring your progress…
The solution stays hidden until you check.
$COP_{HP} = \frac{T_H}{T_H - T_L}$
Open question page
28
Q28MCQ1 markMedium
The Van der Waals equation of state is $(p + \frac{a}{v^2})(v - b) = RT$ , where $p$ is pressure, $v$ is specific volume, $T$ is temperature and $R$ is characteristic gas constant.…
Think it through. Then check your answer.
Question
$(p + \frac{a}{v^2})(v - b) = RT$
Your answer
Choose one option, then check your answer.
A. $J/kg-K$ B. $m^3/kg$ C. $m^5/kg-s^2$ D. $Pa/kg$
Restoring your progress…
The solution stays hidden until you check.
$(p + \frac{a}{v^2})(v - b) = RT$
Open question page
29
Q29NAT1 markEasy
A rope-brake dynamometer attached to the crank shaft of an I.C. engine measures a brake power of 10 kW when the speed of rotation of the shaft is 400 rad/s. The shaft torque (in…
Think it through. Then check your answer.
Question
$A rope-brake dynamometer attached to the crank shaft of an I.C. engine measures a brake power of 10 kW when the speed of rotation of the shaft is 400 rad/s. The shaft torque (in N-m) sensed by the dynamometer is________$
Your answer
Enter a number. Decimals, negative values and scientific notation are accepted.
Numerical answer
Restoring your progress…
The solution stays hidden until you check.
$P$
Open question page
30
Q30NAT1 markEasy
The atomic packing factor for a material with body centered cubic structure is ________
Think it through. Then check your answer.
Question
$The atomic packing factor for a material with body centered cubic structure is________$
Your answer
Enter a number. Decimals, negative values and scientific notation are accepted.
Numerical answer
Restoring your progress…
The solution stays hidden until you check.
$n$
Open question page
31
Q31MCQ1 markEasy
The primary mechanism of material removal in electrochemical machining (ECM) is
Think it through. Then check your answer.
Question
$The primary mechanism of material removal in electrochemical machining (ECM) is$
Your answer
Choose one option, then check your answer.
A. $chemical corrosion$ B. $etching$ C. $ionic dissolution$ D. $spark erosion$
Restoring your progress…
The solution stays hidden until you check.
$Correct answer (C) ionic dissolution Step-by-step solution Electrochemical Machining (ECM) is based on the principle of Faraday's laws of electrolysis. In this process, the workpiece acts as the anode and the tool as the cathode in an electrolytic cell. Material is removed from the workpiece by anodic dissolution at the atomic level, which is essentially ionic dissolution . Chemical corrosion is a spontaneous process, not controlled machining. Etching is a chemical process used in chemical machining, not electrochemical. Spark erosion is the mechanism for Electrical Discharge Machining (EDM). Turn this into a strength. Explore AI-powered practice and doubt support with Success Tracker.$
Open question page
32
Q32MCQ1 markEasy
Which one of the following statements is TRUE?
Think it through. Then check your answer.
Question
$Which one of the following statements is TRUE?$
Your answer
Choose one option, then check your answer.
A. $The 'GO' gage controls the upper limit of a hole$ B. $The 'NO GO' gage controls the lower limit of a shaft$ C. $The 'GO' gage controls the lower limit of a hole$ D. $The 'NO GO' gage controls the lower limit of a hole$
Restoring your progress…
The solution stays hidden until you check.
$Correct answer (C) The 'GO' gage controls the lower limit of a hole Step-by-step solution In limit gauging, the 'GO' and 'NO GO' gages are designed based on the Maximum Material Condition (MMC) and Least Material Condition (LMC): 1. For a Hole: MMC is the minimum diameter (lower limit). The 'GO' gage must be able to enter the hole at its smallest allowable size. Thus, the 'GO' gage controls the lower limit of a hole. LMC is the maximum diameter (upper limit). The 'NO GO' gage should not be able to enter the hole. Thus, the 'NO GO' gage controls the upper limit of a hole. 2. For a Shaft: MMC is the maximum diameter (upper limit). The 'GO' gage (ring or snap) must pass over the shaft. Thus, 'GO' controls the upper limit of a shaft. LMC is the minimum diameter (lower limit). The 'NO GO' gage should not pass. Thus, 'NO GO' controls the lower limit of a shaft. Therefore, statement (C) is the only true statement. Turn this into a strength. Explore AI-powered practice and doubt support with Success Tracker.$
Open question page
33
Q33MCQ1 markEasy
During the development of a product, an entirely new process plan is made based on design logic, examination of geometry and tolerance information. This type of process planning…
Think it through. Then check your answer.
Question
$During the development of a product, an entirely new process plan is made based on design logic, examination of geometry and tolerance information. This type of process planning is known as$
Your answer
Choose one option, then check your answer.
A. $retrieval$ B. $generative$ C. $variant$ D. $group technology based$
Restoring your progress…
The solution stays hidden until you check.
$Correct answer (B) generative Step-by-step solution Computer-Aided Process Planning (CAPP) is generally categorized into two types: 1. Retrieval (or Variant) Process Planning: This method uses a library of existing process plans for similar parts (often grouped using Group Technology). A plan for a new part is created by retrieving and modifying an existing plan. 2. Generative Process Planning: In this approach, an entirely new process plan is synthesized from scratch for each part. It uses design logic, geometric features, and manufacturing rules to automatically generate the sequence of operations without referring to existing plans. Since the question describes creating an entirely new plan based on design logic and geometry, it is generative process planning. Turn this into a strength. Explore AI-powered practice and doubt support with Success Tracker.$
Open question page
34
Q34NAT1 markEasy
Annual demand of a product is 50000 units and the ordering cost is Rs. 7000 per order. Considering the basic economic order quantity model, the economic order quantity is 10000…
Think it through. Then check your answer.
Question
$Annual demand of a product is 50000 units and the ordering cost is Rs. 7000 per order. Considering the basic economic order quantity model, the economic order quantity is 10000 units. When the annual inventory cost is minimized, the annual inventory holding cost (in Rs.) is________$
Your answer
Enter a number. Decimals, negative values and scientific notation are accepted.
Numerical answer
Restoring your progress…
The solution stays hidden until you check.
$\frac{D}{Q} \times S$
Open question page
35
Q35MCQ1 markMedium
Sales data of a product is given in the following table: | Month | January | February | March | April | May | | :--- | :--- | :--- | :--- | :--- | :--- | | Number of units sold |…
Think it through. Then check your answer.
Question
$Sales data of a product is given in the following table: Month January February March April May Number of units sold 1011161925 Regarding forecast for the month of June, which one of the following statements is TRUE ?$
Your answer
Choose one option, then check your answer.
A. $Moving average will forecast a higher value compared to regression.$ B. $N$ C. $Exponential smoothing will forecast a higher value compared to regression.$ D. $Regression will forecast a higher value compared to moving average.$
Restoring your progress…
The solution stays hidden until you check.
$n$
Open question page
36
Q36MCQ2 marksEasy
The chance of a student passing an exam is 20%. The chance of a student passing the exam and getting above 90% marks in it is 5%. GIVEN that a student passes the examination,…
Think it through. Then check your answer.
Question
$The chance of a student passing an exam is 20%. The chance of a student passing the exam and getting above 90% marks in it is 5%. GIVEN that a student passes the examination, the probability that the student gets above 90% marks is$
Your answer
Choose one option, then check your answer.
A. $\frac{1}{18}$ B. $\frac{1}{4}$ C. $\frac{2}{9}$ D. $\frac{5}{18}$
Restoring your progress…
The solution stays hidden until you check.
$P(A) = 20\% = 0.20$
Open question page
37
Q37NAT2 marksMedium
The surface integral $\iint_S \frac{1}{\pi} (9x\mathbf{i} - 3y\mathbf{j}) \cdot \mathbf{n} \, dS$ over the sphere given by $x^2 + y^2 + z^2 = 9$ is ________
Think it through. Then check your answer.
Question
$\iint_S \frac{1}{\pi} (9x\mathbf{i} - 3y\mathbf{j}) \cdot \mathbf{n} \, dS$
Your answer
Enter a number. Decimals, negative values and scientific notation are accepted.
Numerical answer
Restoring your progress…
The solution stays hidden until you check.
$\mathbf{F}$
Open question page
38
Q38MCQ2 marksEasy
Consider the following differential equation: $\frac{dy}{dt} = -5y; \text{ initial condition: } y = 2 \text{ at } t = 0.$ The value of $y$ at $t = 3$ is
Think it through. Then check your answer.
Question
$\frac{dy}{dt} = -5y; \text{ initial condition: } y = 2 \text{ at } t = 0.$
Your answer
Choose one option, then check your answer.
A. $-5e^{-10}$ B. $2e^{-10}$ C. $2e^{-15}$ D. $-15e^2$
Restoring your progress…
The solution stays hidden until you check.
$\frac{dy}{dt} = -5y$
Open question page
39
Q39NAT2 marksEasy
The values of function $f(x)$ at 5 discrete points are given below: | $x$ | 0 | 0.1 | 0.2 | 0.3 | 0.4 | |---|---|---|---|---|---| | $f(x)$ | 0 | 10 | 40 | 90 | 160 | Using…
Think it through. Then check your answer.
Question
$f(x)$
Your answer
Enter a number. Decimals, negative values and scientific notation are accepted.
Numerical answer
Restoring your progress…
The solution stays hidden until you check.
$I = \frac{h}{2} [y_0 + y_n + 2(y_1 + y_2 + \dots + y_{n-1})]$
Open question page
40
Q40NAT2 marksMedium
The initial velocity of an object is $40\text{ m/s}$ . The acceleration $a$ of the object is given by the following expression: $a = -0.1v,$ where $v$ is the instantaneous…
Think it through. Then check your answer.
Question
$40\text{ m/s}$
Your answer
Enter a number. Decimals, negative values and scientific notation are accepted.
Numerical answer
Restoring your progress…
The solution stays hidden until you check.
$a = \frac{dv}{dt} = -0.1v$
Open question page
41
Q41MCQ2 marksMedium
A cantilever beam OP is connected to another beam PQ with a pin joint as shown in the figure. A load of $10\text{ kN}$ is applied at the mid-point of PQ. The magnitude of bending…
Think it through. Then check your answer.
Question
$10\text{ kN}$
Your answer
Choose one option, then check your answer.
A. $2.5$ B. $5$ C. $10$ D. $25$
Restoring your progress…
The solution stays hidden until you check.
$10\text{ kN}$
Open question page
42
Q42MCQ2 marksMedium
For the truss shown in the figure, the magnitude of the force (in $\text{kN}$ ) in the member SR is [figure]
Think it through. Then check your answer.
Question
$\text{kN}$
Your answer
Choose one option, then check your answer.
A. $10$ B. $14.14$ C. $20$ D. $28.28$
Restoring your progress…
The solution stays hidden until you check.
$\sum M_P = 0 \implies 30 \times 2 - R_Q \times 3 = 0 \implies R_Q = 20\text{ kN}.$
Open question page
43
Q43NAT2 marksMedium
A cantilever beam with square cross-section of $6\text{ mm}$ side is subjected to a load of $2\text{ kN}$ normal to the top surface as shown in the figure. The Young's modulus of…
Think it through. Then check your answer.
Question
$6\text{ mm}$
Your answer
Enter a number. Decimals, negative values and scientific notation are accepted.
Numerical answer
Restoring your progress…
The solution stays hidden until you check.
$a = 6\text{ mm}$
Open question page
44
Q44MCQ2 marksEasy
In a plane stress condition, the components of stress at a point are $\sigma_x = 20\text{ MPa}$ , $\sigma_y = 80\text{ MPa}$ and $\tau_{xy} = 40\text{ MPa}$ . The maximum shear…
Think it through. Then check your answer.
Question
$\sigma_x = 20\text{ MPa}$
Your answer
Choose one option, then check your answer.
A. $20$ B. $25$ C. $50$ D. $100$
Restoring your progress…
The solution stays hidden until you check.
$\tau_{max}$
Open question page
45
Q45NAT2 marksMedium
In a certain slider-crank mechanism, lengths of crank and connecting rod are equal. If the crank rotates with a uniform angular speed of $14\text{ rad/s}$ and the crank length is…
Think it through. Then check your answer.
Question
$14\text{ rad/s}$
Your answer
Enter a number. Decimals, negative values and scientific notation are accepted.
Numerical answer
Restoring your progress…
The solution stays hidden until you check.
$r = 300\text{ mm} = 0.3\text{ m}$
Open question page
46
Q46MCQ2 marksMedium
A single-degree-freedom spring-mass system is subjected to a sinusoidal force of $10\text{ N}$ amplitude and frequency $\omega$ along the axis of the spring. The stiffness of the…
Think it through. Then check your answer.
Question
$10\text{ N}$
Your answer
Choose one option, then check your answer.
A. $0.05$ B. $0.07$ C. $0.70$ D. $0.90$
Restoring your progress…
The solution stays hidden until you check.
$F_0 = 10\text{ N}$
Open question page
47
Q47NAT2 marksMedium
A hollow shaft of $1\text{ m}$ length is designed to transmit a power of $30\text{ kW}$ at $700\text{ rpm}$ . The maximum permissible angle of twist in the shaft is $1^\circ$ . The…
Think it through. Then check your answer.
Question
$1\text{ m}$
Your answer
Enter a number. Decimals, negative values and scientific notation are accepted.
Numerical answer
Restoring your progress…
The solution stays hidden until you check.
$L = 1\text{ m} = 1000\text{ mm}$
Open question page
48
Q48MCQ2 marksMedium
A hollow shaft ( $d_o = 2d_i$ where $d_o$ and $d_i$ are the outer and inner diameters respectively) needs to transmit $20\text{ kW}$ power at $3000\text{ RPM}$ . If the maximum…
Think it through. Then check your answer.
Question
$d_o = 2d_i$
Your answer
Choose one option, then check your answer.
A. $11.29 mm$ B. $22.58 mm$ C. $33.87 mm$ D. $45.16 mm$
Restoring your progress…
The solution stays hidden until you check.
$d_o = 2d_i \implies k = \frac{d_i}{d_o} = 0.5$
Open question page
49
Q49MCQ2 marksEasy
The total emissive power of a surface is $500\text{ W/m}^2$ at a temperature $T_1$ and $1200\text{ W/m}^2$ at a temperature $T_2$ , where the temperatures are in Kelvin. Assuming…
Think it through. Then check your answer.
Question
$500\text{ W/m}^2$
Your answer
Choose one option, then check your answer.
A. $0.308$ B. $0.416$ C. $0.803$ D. $0.874$
Restoring your progress…
The solution stays hidden until you check.
$E$
Open question page
50
Q50MCQ2 marksMedium
The head loss for a laminar incompressible flow through a horizontal circular pipe is $h_1$ . Pipe length and fluid remaining the same, if the average flow velocity doubles and the…
Think it through. Then check your answer.
Question
$h_1$
Your answer
Choose one option, then check your answer.
A. $1$ B. $4$ C. $8$ D. $16$
Restoring your progress…
The solution stays hidden until you check.
$h_f$
Open question page
51
Q51NAT2 marksMedium
For a fully developed laminar flow of water (dynamic viscosity $0.001\text{ Pa-s}$ ) through a pipe of radius $5\text{ cm}$ , the axial pressure gradient is $-10\text{ Pa/m}$ . The…
Think it through. Then check your answer.
Question
$0.001\text{ Pa-s}$
Your answer
Enter a number. Decimals, negative values and scientific notation are accepted.
Numerical answer
Restoring your progress…
The solution stays hidden until you check.
$u(r)$
Open question page
52
Q52MCQ2 marksMedium
For the truss shown in the figure, the magnitude of the force (in kN) in the member SR is [figure]
Think it through. Then check your answer.
Question
$For the truss shown in the figure, the magnitude of the force (in kN) in the member SR is$
Your answer
Choose one option, then check your answer.
A. $10$ B. $14.14$ C. $20$ D. $28.28$
Restoring your progress…
The solution stays hidden until you check.
$\sum M_P = 0 \Rightarrow 30 \times 2 - R_Q \times 3 = 0 \Rightarrow R_Q = 20 \text{ kN}$
Open question page
53
Q53NAT2 marksMedium
A cantilever beam with square cross-section of 6 mm side is subjected to a load of 2 kN normal to the top surface as shown in the figure. The Young's modulus of elasticity of the…
Think it through. Then check your answer.
Question
$A cantilever beam with square cross-section of 6 mm side is subjected to a load of 2 kN normal to the top surface as shown in the figure. The Young's modulus of elasticity of the material of the beam is 210 GPa. The magnitude of slope (in radian) at Q (20 mm from the fixed end) is________$
Your answer
Enter a number. Decimals, negative values and scientific notation are accepted.
Numerical answer
Restoring your progress…
The solution stays hidden until you check.
$P = 2 \text{ kN} = 2000 \text{ N}$
Open question page
54
Q54MCQ2 marksEasy
In a plane stress condition, the components of stress at a point are $\sigma_x = 20$ MPa, $\sigma_y = 80$ MPa and $\tau_{xy} = 40$ MPa. The maximum shear stress (in MPa) at the…
Think it through. Then check your answer.
Question
$\sigma_x = 20$
Your answer
Choose one option, then check your answer.
A. $20$ B. $25$ C. $50$ D. $100$
Restoring your progress…
The solution stays hidden until you check.
$\tau_{max}$
Open question page
55
Q55NAT2 marksMedium
One kg of air ( $R = 287\text{ J/kg-K}$ ) undergoes an irreversible process between equilibrium state 1 ( $20\text{ }^\circ\text{C}, 0.9\text{ m}^3$ ) and equilibrium state 2…
Think it through. Then check your answer.
Question
$R = 287\text{ J/kg-K}$
Your answer
Enter a number. Decimals, negative values and scientific notation are accepted.
Numerical answer
Restoring your progress…
The solution stays hidden until you check.
$\Delta s = c_v \ln\left(\frac{T_2}{T_1}\right) + R \ln\left(\frac{v_2}{v_1}\right)$
Open question page
56
Q56MCQ2 marksMedium
For the same values of peak pressure, peak temperature and heat rejection, the correct order of efficiencies for Otto, Dual and Diesel cycles is
Think it through. Then check your answer.
Question
$For the same values of peak pressure, peak temperature and heat rejection, the correct order of efficiencies for Otto, Dual and Diesel cycles is$
Your answer
Choose one option, then check your answer.
A. $\eta_{\text{otto}} > \eta_{\text{Dual}} > \eta_{\text{Diesel}}$ B. $\eta_{\text{Diesel}} > \eta_{\text{Dual}} > \eta_{\text{otto}}$ C. $\eta_{\text{Dual}} > \eta_{\text{Diesel}} > \eta_{\text{otto}}$ D. $\eta_{\text{Diesel}} > \eta_{\text{otto}} > \eta_{\text{Dual}}$
Restoring your progress…
The solution stays hidden until you check.
$\eta = 1 - \frac{Q_{\text{out}}}{Q_{\text{in}}}$
Open question page
57
Q57NAT2 marksEasy
In a Rankine cycle, the enthalpies at turbine entry and outlet are $3159\text{ kJ/kg}$ and $2187\text{ kJ/kg}$ , respectively. If the specific pump work is $2\text{ kJ/kg}$ , the…
Think it through. Then check your answer.
Question
$3159\text{ kJ/kg}$
Your answer
Enter a number. Decimals, negative values and scientific notation are accepted.
Numerical answer
Restoring your progress…
The solution stays hidden until you check.
$W_t$
Open question page
58
Q58NAT2 marksMedium
A cube and a sphere made of cast iron (each of volume $1000\text{ cm}^3$ ) were cast under identical conditions. The time taken for solidifying the cube was $4\text{ s}$ . The…
Think it through. Then check your answer.
Question
$1000\text{ cm}^3$
Your answer
Enter a number. Decimals, negative values and scientific notation are accepted.
Numerical answer
Restoring your progress…
The solution stays hidden until you check.
$t_s$
Open question page
59
Q59MCQ2 marksEasy
In a two-stage wire drawing operation, the fractional reduction (ratio of change in cross-sectional area to initial cross-sectional area) in the first stage is $0.4$ . The…
Think it through. Then check your answer.
Question
$0.4$
Your answer
Choose one option, then check your answer.
A. $0.24$ B. $0.58$ C. $0.60$ D. $1.00$
Restoring your progress…
The solution stays hidden until you check.
$r$
Open question page
60
Q60NAT2 marksHard
The flow stress (in MPa) of a material is given by $\sigma = 500 \epsilon^{0.1}$ , where $\epsilon$ is true strain. The Young's modulus of elasticity of the material is…
Think it through. Then check your answer.
Question
$\sigma = 500 \epsilon^{0.1}$
Your answer
Enter a number. Decimals, negative values and scientific notation are accepted.
Numerical answer
Restoring your progress…
The solution stays hidden until you check.
$h_0 = 100\text{ mm}$
Open question page
61
Q61MCQ2 marksMedium
During a TIG welding process, the arc current and arc voltage were $50\text{ A}$ and $60\text{ V}$ , respectively, when the welding speed was $150\text{ mm/min}$ . In another…
Think it through. Then check your answer.
Question
$50\text{ A}$
Your answer
Choose one option, then check your answer.
A. $40.00$ B. $44.72$ C. $55.90$ D. $62.25$
Restoring your progress…
The solution stays hidden until you check.
$H = \frac{V \cdot I}{v}$
Open question page
62
Q62NAT2 marksMedium
A single point cutting tool with $0^\circ$ rake angle is used in an orthogonal machining process. At a cutting speed of $180\text{ m/min}$ , the thrust force is $490\text{ N}$ . If…
Think it through. Then check your answer.
Question
$0^\circ$
Your answer
Enter a number. Decimals, negative values and scientific notation are accepted.
Numerical answer
Restoring your progress…
The solution stays hidden until you check.
$\alpha = 0^\circ$
Open question page
63
Q63MCQ2 marksMedium
A resistance-capacitance relaxation circuit is used in an electrical discharge machining process. The discharge voltage is $100\text{ V}$ . At a spark cycle time of…
Think it through. Then check your answer.
Question
$100\text{ V}$
Your answer
Choose one option, then check your answer.
A. $2.5$ B. $5.0$ C. $7.5$ D. $10.0$
Restoring your progress…
The solution stays hidden until you check.
$E$
Open question page
64
Q64NAT2 marksEasy
A project consists of 7 activities. The network along with the time durations (in days) for various activities is shown in the figure. [figure] The minimum time (in days) for…
Think it through. Then check your answer.
Question
$A project consists of 7 activities. The network along with the time durations (in days) for various activities is shown in the figure. The minimum time (in days) for completion of the project is___________$
Your answer
Enter a number. Decimals, negative values and scientific notation are accepted.
Numerical answer
Restoring your progress…
The solution stays hidden until you check.
$1 \rightarrow 3$
Open question page
65
Q65NAT2 marksEasy
A manufacturer has the following data regarding a product: Fixed cost per month = Rs. 50000 Variable cost per unit = Rs. 200 Selling price per unit = Rs. 300 Production capacity =…
Think it through. Then check your answer.
Question
$A manufacturer has the following data regarding a product: Fixed cost per month = Rs. 50000 Variable cost per unit = Rs. 200 Selling price per unit = Rs. 300 Production capacity = 1500 units per month If the production is carried out at 80% of the rated capacity, then the monthly profit (in Rs.) is___________$
Your answer
Enter a number. Decimals, negative values and scientific notation are accepted.
Numerical answer
Restoring your progress…
The solution stays hidden until you check.
$Q$
Open question page

Month	January	February	March	April	May
Number of units sold	10	11	16	19	25

$x$	0	0.1	0.2	0.3	0.4
$f(x)$	0	10	40	90	160

Your revision session

0 / 65

attempted

Correct

Incorrect

—

Accuracy

Saved in this browser only. Revision practice, not a timed score or account activity.

Success Tracker

AI-powered practice, built around you

Unlimited practice on eligible plans

Personalised practiceChoose topics and build confidence in your weaker areas.
AI doubt supportAsk follow-up questions when a solution does not click.
Progress that guides youTrack practice in your account and revisit mistakes.

Try GATE ME 2015 Set 2 as a timed test. Test access depends on your practice allowance.

Start with a free account View plans and allowances

Free practice and AI usage have limits. This page stays readable without an account. AI responses can be wrong; check the solution and source material.

Question navigator

CorrectIncorrectReview

Explore the questions

General Aptitude (GA)

Question

Correct answer

Step-by-step solution

Question

Correct answer

Step-by-step solution

Question

Correct answer

Step-by-step solution

Question

Correct answer

Step-by-step solution

Question

Correct answer

Step-by-step solution

Question

Correct answer

Step-by-step solution

Question

Correct answer

Step-by-step solution

Question

Correct answer

Step-by-step solution

Question

Correct answer

Step-by-step solution

Question

Correct answer

Step-by-step solution

Mechanical Engineering

Question

Correct answer

Step-by-step solution

Question

Correct answer

Step-by-step solution

Question

Correct answer

Step-by-step solution

Question

Correct answer

Step-by-step solution

Question

Correct answer

Step-by-step solution

Question

Correct answer

Step-by-step solution

Question

Correct answer

Step-by-step solution

Question

Correct answer

Step-by-step solution

Question

Correct answer

Step-by-step solution

Question

Correct answer

Step-by-step solution

Question

Correct answer

Step-by-step solution

Question

Correct answer

Step-by-step solution

Question

Correct answer

Step-by-step solution

Question

Correct answer

Step-by-step solution

Question

Correct answer

Step-by-step solution

Question

Correct answer