GATE

Q. The pair of natural fibres, belonging to the category of seed fibre, is              (A) Cotton and Sisal                      (B) Kenaf and Kapok                  (C) Cotton and Kenaf                    (D) Cotton and Kapok Ans: Cotton and Kapok

Q. Acrylic fibre is made from at least 85% by weight of (A) Acrylic acid (B) Acrylonitrile (C) Acrylamide (D) Methyl methacrylate Ans: Acrylonitrile

Q. For 𝑥 in [0, 𝜋], the maximum value of (sin 𝑥 + cos 𝑥) is Ans: Option C

Q. The layout for an AGV system is shown in figure. The loading time is 0.5 minutes and the unloading time is also 0.5 minutes. All distances are in meters. Considering a vehicle velocity of 50 m/min, availability of 0.95 and traffic factor of       0.9,      the         number of vehicles required to satisfy a demand of 50 delivery/hour is      Ans:

Q. The sales data of a product for 5 years are   Year   2014   2015   2016   2017   2018   Sales (units) 280 268 259 270 287 Assume the forecast for the year 2014 as 260 units. Using an exponential smoothing method with smoothing constant α = 0.5, the sales forecast

Q. A PERT project network consists of 5 activities A to E. The time estimates of these activities follow Beta-distribution. The predecessor–successor (P-S) relationships between the nodes and time estimates of activities are given in table Activity P-S Optimistic time (days) Most likely time (days) Pessimistic time (days) A 1 – 2 2 4 6

Q. A monitoring system has seven components. The reliability of each component is shown in the figure. The system reliability is  ___________(round off to 2 decimal places) Ans: 0.16-0.18 Sol: Rs = R1 × Rs3 × R7 Rs = 0.5 × 0.87 × 0.4 = 0.174

Q. A process which is in a state of statistical control (within ± 3s ) has an estimate of standard deviation (s) 2 mm. The specification limits for the corresponding product are 120 ± 8 mm. When process mean shifts from 118 mm to 122 mm with no change in process standard deviation, the difference

Q. A CO2 laser in continuous mode is used for drilling a plate. The process parameters and their values are Laser power intensity 1×108 W/mm2 Vaporization energy 5×106 J/mm3 Efficiency of the process 15 % Laser spot diameter 200 micrometer Ans: 6 Sol:

Q. During a turning operation of a specific work material having shear strength of 220 MPa under orthogonal cutting condition, the process parameters are Feed 0.2 mm/rev Depth of cut 1 mm Rake angle – 5˚ Given chip thickness ratio as 0.5, friction angle as 49.2˚ and shear angle as 25.4˚, the feed force (in