GATE PAPER 1: GATE PAPER 1 1 / 65 1. 1.424 0.424 2.424 2 2 / 65 2. 432.3 318.6 355.6 314.3 3 / 65 3. 5.242 5 4.242 4 4 / 65 4. 4835 4700 4722 4811 5 / 65 5. 26.37 2624 2624.37 262 6 / 65 6. 1.1 1.184 2.184 1.18 7 / 65 7. 140 120 110 150 8 / 65 8. An assignment problem is solved to minimizethe total processing time of four jobs (1, 2, 3and 4) on four different machines such thateach job is processed exactly by one machineand each machine processes exactly one job.The minimum total processing time is foundto be 500 minutes. Due to a change in design,the processing time of Job 4 on each machinehas increased by 20 minutes. The revisedminimum total processing time will be_____________ minutes (in integer). 220 430 520 600 9 / 65 9. 10 10.695 11.69 9.5 10 / 65 10. 351 355 532 235 11 / 65 11. 41.416 31 31.416 41 12 / 65 12. 257.40 2573.40 273.40 253.40 13 / 65 13. 200 500 600 900 14 / 65 14. 0.06 1 -0.06 -1 15 / 65 15. 0 0.25 0.50 1 16 / 65 16. 5 6 6.46 5.76 17 / 65 17. 20 21 18 12 18 / 65 18. 8.32 7.43 6.56 8 19 / 65 19. 0.16 0.18 0.22 .12 20 / 65 20. A B C D 21 / 65 21. A B C D 22 / 65 22. 350𝜋 750π 1000π 3000 23 / 65 23. a b c d 24 / 65 24. a b c d 25 / 65 25. a b c d 26 / 65 26. a b c d 27 / 65 27. a b c d 28 / 65 28. a b c d 29 / 65 29. a b c d 30 / 65 30. a b c d 31 / 65 31. 218 318 812 831 32 / 65 32. 408 508.87 401.87 408.875 33 / 65 33. 28 28.54 30.05 31 34 / 65 34. 3.66 2.66 6.33 6.22 35 / 65 35. 10 11 12 13 36 / 65 36. a b c d 37 / 65 37. Which of the following methods can improve the fatigue strength of a circular mildsteel (MS) shaft? (A) Enhancing surface finish (B) Shot peening of the shaft (C) Increasing relative humidity (D) Reducing relative humidity 38 / 65 38. Which of the following additive manufacturing technique(s) can use a wire as afeedstock material? (A) Stereolithography (B) Fused deposition modeling (C) Selective laser sintering (D) Directed energy deposition processes 39 / 65 39. Which of the following heat treatment processes is/are used for surface hardeningof steels? (A) Carburizing (B) Cyaniding (C) Annealing (D) Carbonitriding 40 / 65 40. Assuming the material considered in each statement is homogeneous, isotropic, linearelastic, and the deformations are in the elastic range, which one or more of thefollowing statement(s) is/are TRUE? A body subjected to hydrostatic pressure has no shear stress. If a long solid steel rod is subjected to tensile load, then its volume increases. Maximum shear stress theory is suitable for failure analysis of brittle materials. If a portion of a beam has zero shear force, then the corresponding portion of the elastic curve of the beam is always straight. 41 / 65 41. Ratio of inertial force to viscous force Ratio of buoyancy force to viscous force. Viscous force per unit mass Buoyancy force per unit mass. 42 / 65 42. a b c d 43 / 65 43. The Clausius inequality holds good for (A) any process (B) any cycle (C) only reversible process (D) only reversible cycle 44 / 65 44. Which one of the following is NOT a form of inventory? Raw materials Work-in-process materials Finished goods CNC Milling Machines 45 / 65 45. In a linear programming problem, if a resource is not fully utilized, the shadowprice of that resource is positive negative zero infinity 46 / 65 46. a b c d 47 / 65 47. A CNC worktable is driven in a linear direction by a lead screw connecteddirectly to a stepper motor. The pitch of the lead screw is 5 mm. The steppermotor completes one full revolution upon receiving 600 pulses. If the worktablespeed is 5 m/minute and there is no missed pulse, then the pulse rate beingreceived by the stepper motor is 20 kHz 10 kHz 3 kHz 15 kHz 48 / 65 48. A square threaded screw is used to lift a load W by applying a force F. Efficiencyof square threaded screw is expressed as The ratio of work done by W per revolution to work done by F per revolution W / F F / W The ratio of work done by F per revolution to work done by W per revolution 49 / 65 49. a b c d 50 / 65 50. a b c d 51 / 65 51. a b c d 52 / 65 52. only sine terms only cosine terms both sine and cosine terms only sine terms and a non-zero constant 53 / 65 53. 4𝜋 3𝜋 4𝜋/3 0 54 / 65 54. T(𝑥, 𝑦) = 𝑥 − 𝑥𝑦 + 𝑦 𝑇(𝑥, 𝑦) = 𝑥 + y 𝑇(𝑥, 𝑦) = −𝑥 + y T(𝑥, 𝑦) = 𝑥 + 𝑥𝑦 + y 55 / 65 55. a b c d 56 / 65 56. In a 12-hour clock that runs correctly, how many times do the second, minute,and hour hands of the clock coincide, in a 12-hour duration from 3 PM in a dayto 3 AM the next day? 11 12 144 2 57 / 65 57. Given below are three conclusions drawn based on the following threestatements.Statement 1: All teachers are professors.Statement 2: No professor is a male.Statement 3: Some males are engineers.Conclusion I: No engineer is a professor.Conclusion II: Some engineers are professors.Conclusion III: No male is a teacher.Which one of the following options can be logically inferred? Only conclusion III is correct Only conclusion I and conclusion II are correct Only conclusion II and conclusion III are correct Only conclusion I and conclusion III are correct 58 / 65 58. a b c d 59 / 65 59. A rhombus is formed by joining the midpoints of the sides of a unit square.What is the diameter of the largest circle that can be inscribed within therhombus? 1 /√2 1/ 2√2 √2 2√2 60 / 65 60. Humans are naturally compassionate and honest. In a study using strategicallyplaced wallets that appear “lost”, it was found that wallets with money are morelikely to be returned than wallets without money. Similarly, wallets that had a keyand money are more likely to be returned than wallets with the same amount ofmoney alone. This suggests that the primary reason for this behavior iscompassion and empathy.Which one of the following is the CORRECT logical inference based on theinformation in the above passage? Wallets with a key are more likely to be returned because people do not care about money Wallets with a key are more likely to be returned because people relate to suffering of others Wallets used in experiments are more likely to be returned than wallets that are really lost Money is always more important than keys 61 / 65 61. a b c d 62 / 65 62. Four girls P, Q, R and S are studying languages in a University. P is learningFrench and Dutch. Q is learning Chinese and Japanese. R is learning Spanishand French. S is learning Dutch and Japanese.Given that: French is easier than Dutch; Chinese is harder than Japanese; Dutchis easier than Japanese, and Spanish is easier than French.Based on the above information, which girl is learning the most difficult pair oflanguages? p q r s 63 / 65 63. A person travelled 80 km in 6 hours. If the person travelled the first part with auniform speed of 10 kmph and the remaining part with a uniform speed of 18kmph.What percentage of the total distance is travelled at a uniform speedof 10 kmph? 28.25 37.25 43.75 50.00 64 / 65 64. The average of the monthly salaries of M, N and S is ₹ 4000. The average of themonthly salaries of N, S and P is ₹ 5000. The monthly salary of P is ₹ 6000.What is the monthly salary of M as a percentage of the monthly salary of P? 50% 70% 100% 125% 65 / 65 65. After playing _________ hours of tennis, I am feeling _________ tired to walkback. too / too too / two two / two two / too Your score isThe average score is 0% 0% Restart quiz
