GATE Production and Industrial test series paper 5
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Question 1 of 16
Each axis of NC machine is driven by a stepper motor drive with a lead screw. The pitch of lead screw is p mm. The step angle of stepper motor per pulse input is w degrees/pulse. The ratio of gear drive in stepper motor drive is g (number of turns of the motor for each single turn of the lead screw). The number of pulses required to achieve a linear movement of x mm isCorrect
Question 2 of 16
A CNC instruction G91G01X30Y40F100 commands the movement of tool along the path at a feed rate of 100 mm/min (G91- incremental format and G01- linear interpolation). The feed rate of the tool (in mm/min) along the X axis will beCorrect
Question 3 of 16
Elastic moduli of a fibre reinforced plastic composite and fibres are 200 GPa and 400 GPa, respectively. The longitudinal fibres are taking up 50% of the load. Assuming the area fraction equal to the volume fraction, the volume fraction of the fibres will beCorrect
Question 4 of 16
The annual requirement of a raw material item is 10,000 units. The holding cost of inventory for the item is 80 paise per unit per year and the ordering cost is Rs. 40 per order. The order quantity presently is 800 units per order. Assume that there are no other costs. Which one of the following observations is CORRECT?Correct
Question 5 of 16
In a single-server queuing system, arrivals are Poisson distributed with a mean of 16 per hour and the exponential service time is 3 minutes per person on the average. What would be the expected number of persons in the queue (Lq) for the queue disciplines of First-come-first-serve (FCFS) and Last-come-first serve (LCFS)?Correct
Question 6 of 16
Marks obtained by 100 students in an examination are given in the table.
Sl. No. Marks Obtained Number of Students
1. 25 20
2. 30 20
3. 35 40
4. 40 20
What would be the mean, median, and mode of the marks obtained by the students?Correct
Question 7 of 16
In a given day in the rainy season, it may rain 70% of the time. If it rains, chance that a village fair will make a loss on that day is 80%. However, if it does not rain, chance that the fair will make a loss on that day is only 10%. If the fair has not made a loss on a given day in the rainy season, what
is the probability that it has not rained on that day?Correct
Question 8 of 16
For the linear programming problem given below, find the number of feasible corner point solutions. Is the optimal solution degenerate?
Maximize z = 2×1 + 3×2
Subject to: x1 + 2×2 ≤ 60;
2×1 + x2 ≤ 30;
x1 – x2 ≥ – 10;
x1 ≥ 0; x2 ≥ 0Correct
Question 9 of 16
A manufacturing company must select a process for its new product, VS-5, from among two alternatives. The following cost data have been gathered.
Cost Process X Process Y
Fixed Rs. 10,000 Rs. 40,000
Variable Rs. 5/unit Rs. 2/unit
If the objective is to select a process with the least total cost for a given demand, which one of the following is the most appropriate choice?Correct
Question 10 of 16
The following data refers to a manufacturing plant.
Current Year Previous Year
Revenue generated (in Rs.) 200,000 220,000
Number of units produced 1000 1200
Piece rate of workers (in Rs.) 22 18
Assuming the previous year to be the base year, the labor productivity index for this plant isCorrect
Question 11 of 16
A manufacturing company producing ball bearings has conducted a time study for 10 cycles of a job consisting of three elements. The details are shown in the table below.
Job elements Average elemental time
Performance rating factor
1 0.12 0.8
2 0.34 1.1
3 0.48 1.2
If the permissible allowance is 15%, then the standard time (in minutes) is _______Correct
Question 12 of 16
A control chart for number of non-conformities per unit is to be constructed for a manufacturing process. Sixteen non-conformities were recorded while inspecting 30 units. How should the Upper Control Limit (UCL) and the Lower Control Limit (LCL) be set for this control chart?Correct
Question 13 of 16
For a given volume of a riser, if the solidification time of the molten metal in riser needs to be quadrupled, the surface area of the riser should be madeCorrect
Question 14 of 16
A 80 mm thick steel plate with 400 mm width is rolled to 40 mm thickness in 4 passes with equal reduction in each pass, by using rolls of 800 mm diameter. Assuming the plane-strain deformation, what is the minimum coefficient of friction required for unaided rolling to be possible?Correct
Question 15 of 16
In an arc welding operation, carried out with a power source maintained at 40 volts and 400 amperes, the consumable electrode melts and just fills the gap between the metal plates to be butt-welded. The heat transfer efficiency for the process is 0.8, melting efficiency is 0.3 and the heat required to melt the electrode is 20 J/mm3. If the travel speed of the electrode is 4 mm/s, the cross-sectional area, in mm2, of the weld joint is (read mm3 as millimeter cube and mm2 as millimeter square)Correct
Question 16 of 16
An HSS drill of 20 mm diameter with 5 mm cone height is used to drill a through hole in a steel work-piece of 50 mm thickness. Cutting speed of 10 m/min and feed rate of 0.3 mm/rev are used. The drilling time, in seconds, neglecting the approach and over travel, is _______Correct