GATE PI 2017
GATE 2017 Previous Year
3 hDuration
43Total Marks
27Questions
11Sections
Instructions
General instructions for this test:
- Duration: 3 h. The timer starts as soon as you begin and cannot be paused.
- Total questions: 27 across 11 section(s); maximum marks: 43.
- You are allowed 1 attempt(s) at this test.
- Use the question palette on the right to navigate. Answered questions are highlighted in green; questions marked for review are highlighted in yellow.
- Each question's marking scheme (correct / wrong) is shown on the question card. Unanswered questions receive zero marks.
- Switching tabs, exiting full-screen, or attempting to copy text is monitored. Repeated tab-switching may auto-submit the test.
- Your answers autosave as you navigate. Click Submit Test when you are done. The test will be auto-submitted when the timer expires.
No exam-specific instructions were provided for this paper.
Paper Structure
Machine Tools And Machining
Machine Tools And Machining
Q1.
mcq single
+2 / 0.6
In a numerical control $$(NC)$$ machine positioning system, the measures of precision are expressed by considering a single axis as shown in the Figure.
If $$\sigma $$ is standard deviation of the error distribution, the $$L$$, $$M$$ and $$N$$ are
If $$\sigma $$ is standard deviation of the error distribution, the $$L$$, $$M$$ and $$N$$ are
Q2.
mcq single
+2 / 0.6
The preparatory and miscellaneous codes used in $$CNC$$ part programming and the functions are given in the Table
The correct combination of code and the respective function is
The correct combination of code and the respective function is
Q3.
mcq single
+2 / 0.6
The Merchant circle diagram showing various forces associated with a cutting process using a wedge shaped tool is given in the Figure
The coefficient of friction can be estimated from the ratio
The coefficient of friction can be estimated from the ratio
Q4.
numerical
+2 / 0
In a machining operation with turning tool, the tool life $$(T)$$ is related to cutting speed $$v$$ $$(m/s),$$ feed $$f(mm)$$ and depth of cut $$d(mm)$$ as
$$$T = C\,v{\,^{ - 2.5}}\,{f^{ - 0.9}}\,{d^{ - 0.15}}$$$
where, $$C$$ is a constant. The suggested values for the cutting parameters are: $$V=1.5$$ $$m/s,$$ $$f=0.25$$ $$mm$$ and $$d=3$$ $$mm$$ for normal rough turning. If the operation is performed at twice the cutting speed and the other parameters remain unchanged, the corresponding percentage change in tool life is ______________.
Q5.
mcq single
+2 / 0.6
A schematic diagram of peripheral milling is shown in the Figure.
If $$t$$ is the depth of cut and $$d$$ is the diameter of the milling cutter, then the length of approach $$\left( {la} \right)$$ is expressed as
If $$t$$ is the depth of cut and $$d$$ is the diameter of the milling cutter, then the length of approach $$\left( {la} \right)$$ is expressed as
Q6.
mcq single
+1 / 0.3
Turning, drilling, boring and milling are commonly used machining operations. Among these, the operation (s) performed by a single point cutting tool is (are)
Industrial Engineering
Industrial Engineering
Q1.
numerical
+2 / 0
In a project, tasks $$A, B, C, D, E, F, G, H, I$$ and $$J$$ are to be performed. The precedence relationships and the time required (in days) to complete the tasks are given in the Table.
The time required (in days) to complete the project along the critical path is ______________
The time required (in days) to complete the project along the critical path is ______________
Q2.
numerical
+2 / 0
The potential production alternatives for manufacturing a product along with their unit cost and monthly capacity are given in the Table.
The inventory at the end of july is $$100$$ units. If the demand for the month of August is $$620,$$ then the minimum total cost (in Rs.) to meet the demand is ______________
The inventory at the end of july is $$100$$ units. If the demand for the month of August is $$620,$$ then the minimum total cost (in Rs.) to meet the demand is ______________
Q3.
mcq single
+1 / 0.3
An electrical appliances showroom sells $$2,400$$ ceiling fans in one year ($$52$$ weeks). The holding cost is $$10\% $$ of the cost of the ceiling fan. The most of one ceiling fan is Rs. $$600$$. The cost incurred for placing an order is Rs. $$201.$$ There is a lead time of $$5$$ weeks. The economic order quantity $$(EOQ)$$ and the reorder level, respectively (rounded to the next higher integer) are
Q4.
numerical
+2 / 0
In a calendar year, the demand forecast of motorbikes for the month of june is $$200.$$ The actual demand of motorbikes for the month of June and July are $$300$$ and $$350,$$ respectively. If single exponential smoothing method with smoothing constant $$0.7$$ is used, then the demand forecast for the month of August is ___________.
Machine Design
Machine Design
Q1.
mcq single
+2 / 0.6
A pair of spur gears with $${20^ \circ }$$ full-depth involute teeth is used to transmit $$3.5$$ $$kW$$ of power. The pinion rotates at $$700$$ $$rpm$$ and has pitch circle diameter of $$100$$ $$mm.$$ Assuming a single pair of teeth in contact, the total force acting on a gear tooth (in $$kN$$) is
Q2.
mcq single
+2 / 0.6
A solid circular shaft is subjected to a bending moment $$M$$ and torque $$T$$ simultaneously. Neglecting the effects of stress concentration, the equivalent bending moment is expressed as
Metrology
Metrology
Q1.
mcq single
+1 / 0.3
Accuracy of a measuring instrument is expressed as
Q2.
mcq single
+1 / 0.3
A machined surface with standard symbols indicating the surface texture is shown in the Figure. (ALL dimensions in the Figure are in micrometer).
The waviness height (in micrometer) of the surface is
The waviness height (in micrometer) of the surface isMetal Forming
Metal Forming
Q1.
numerical
+1 / 0
A steel wire of $$2$$ $$mm$$ diameter is to be drawn from a wire of $$5mm$$ diameter. The value of true strain developed is _____________ (up to three decimal places)
Q2.
mcq single
+2 / 0.6
A metallic strip having a thickness of $$12$$ $$mm$$ is to be rolled using two steel rolls, each of $$800$$ $$mm$$ diameter. It is assumed that there is no change in width of the strip during rolling. In order to achieve $$10\% $$ reduction in cross-sectional area of the strip after rolling, the angle subtended (in degrees) by the deformation zone at the center of the roll is
Joining Of Materials
Joining Of Materials
Q1.
mcq single
+1 / 0.3
In gas tungsten arc welding process, the material coated on pure tungsten electrode to enhance its current carrying capacity is
Heat Transfer
Heat Transfer
Q1.
numerical
+1 / 0
A metallic cylindrical casing of an exhaust pipe has inner radius $$50$$ $$mm$$ and wall thickness $$7$$ $$mm.$$ If the thermal conductivity of the material of the casing is $$50$$ $$W/m$$-$$K,$$ then the thermal resistance of the casing in $$K/kW$$ is ________________ (up to three decimal places).
Thermodynamics
Thermodynamics
Q1.
numerical
+2 / 0
A reversible heat engine $$(E)$$ operating in a cycle interacts with three reservoirs $$1,$$ $$2$$ and $$3$$ maintained at temperature $${T_1} = 500K,$$ $${T_2} = 400K,$$ and $${T_3} = 300K,$$ respectively. The engine receives $$10$$ $$kJ$$ of heat from reservoir $$1$$ and rejects $$3$$ $$kJ$$ to reservoir $$3.$$ The net work output, $${W_{net}}$$ (in $$kJ$$) from the engine is
Fluid Mechanics
Fluid Mechanics
Q1.
numerical
+2 / 0
A pipeline with variable cross-section contains water with specific weight
$${10^4}\,\,N/{m^3}.$$ The flow conditions at two points $$1$$ and $$2$$ on the axis of the pipe are:
$$\eqalign{
& {P_1} = 3\,\,bar,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{V_1} = 10\,\,m/s \cr
& {P_2} = 1\,\,bar,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{V_2} = 20\,\,m/s \cr} $$
Consider frictional losses to be negligible. For no-flow condition between points $$1$$ and $$2$$ (as shown in Figure), if the height $${z_1}$$ from the datum is $$1$$ $$m,$$ then the height $${z_2}$$ (in $$m$$) is _____________ $$\left( {g = 9.81\,\,m/{s^2}} \right)$$
Q2.
numerical
+2 / 0
A manometer is used for the pressure measurement in a closed tank. The three fluids $$f1,f2$$ and $$f3$$ have specific weights $$\gamma ,$$ $$2\gamma ,$$ and $$0.5\gamma ,$$, respectively. The schematic arrangement with manometric readings and other dimensions are shown in the Figure. In order to ensure zero gauge pressure in the tank at the mid-height level $$(h/2),$$ the height of the tank $$h$$ (in $$m$$) is _________________.
Strength Of Materials
Strength Of Materials
Q1.
mcq single
+1 / 0.3
If $$E$$ is the modulus of elasticity in $$GPa$$, $$G$$ is the shear modulus in $$GPa$$ and $$v$$ is the Poisson's ratio of a linear elastic and isotropic material, the three terms are related as
Q2.
mcq single
+1 / 0.3
The inside and outside radii of a thick- walled cylindrical pressure vessel are denoted by $$a$$ and $$b,$$ respectively. If the vessel is subjected to an internal pressure $$P,$$ then the magnitude of the radial stress $${\sigma _{rr}}$$ is
Q3.
mcq single
+1 / 0.3
For a two dimensional state-of-stress defined as $${\sigma _{xx}} = {\sigma _{yy}} = {\tau _{xy}} = S,$$ the Mohr's circle of stress has
Q4.
numerical
+2 / 0
The simply-supported beam shown in the Figure is loaded symmetrically using two equal point loads $$P.$$ The radius of curvature of the deflection-curve is $$15$$ m for the portion of the beam that is subjected to pure bending. The vertical deflection (in mm) at point $$M,$$ equidistant from both the supports is _______ (up to two decimal places).
Casting
Casting
Q1.
mcq single
+2 / 0.6
Schematic diagram of pouring basin and sprue of a gating system is shown in the Figure. Depth of molten metal in the pouring basin is $$100$$ $$mm$$ and the height of the sprue is $$1,500$$ $$mm.$$
Considering the cross-section of the sprue is circular, the ratio $${d_1}:{d_2}$$ to avoid aspiration is
Considering the cross-section of the sprue is circular, the ratio $${d_1}:{d_2}$$ to avoid aspiration is
Q2.
mcq single
+1 / 0.3
In carbon dioxide molding process, the binder used is