Page 1 GATE 2018 General Aptitude (GA) Set-4 GA 1/2 Q. 1 – Q. 5 carry one mark each. Q.1 “When she fell down the _______, she received many _______ but little help. ” The words that best fill the blanks in the above sentence are (A) stairs, stares (B) stairs, stairs (C) stares, stairs (D) stares, stares Q.2 “In spite of being warned repeatedly, he failed to correct his _________ behaviour. ” The word that best fills the blank in the above sentence is (A) rational (B) reasonable (C) errant (D) good Q.3 For 0 = ?? = 2 ?? , sin ?? and cos ?? are both decreasing functions in the interval ________. (A) ( 0 , ?? 2 ) (B) ( ?? 2 , ?? ) (C) (?? , 3 ?? 2 ) (D) ( 3 ?? 2 , 2 ?? ) Q.4 The area of an equilateral triangle is v 3. What is the perimeter of the triangle? (A) 2 (B) 4 (C) 6 (D) 8 Q.5 Arrange the following three-dimensional objects in the descending order of their volumes: (i) A cuboid with dimensions 10 cm, 8 cm and 6 cm (ii) A cube of side 8 cm (iii) A cylinder with base radius 7 cm and height 7 cm (iv) A sphere of radius 7 cm (A) (i), (ii), (iii), (iv) (B) (ii), (i), (iv), (iii) (C) (iii), (ii), (i), (iv) (D) (iv), (iii), (ii), (i) Q. 6 – Q. 10 carry two marks each. Q.6 An automobile travels from city A to city B and returns to city A by the same route. The speed of the vehicle during the onward and return journeys were constant at 60 km/h and 90 km/h, respectively. What is the average speed in km/h for the entire journey? (A) 72 (B) 73 (C) 74 (D) 75 Page 2 GATE 2018 General Aptitude (GA) Set-4 GA 1/2 Q. 1 – Q. 5 carry one mark each. Q.1 “When she fell down the _______, she received many _______ but little help. ” The words that best fill the blanks in the above sentence are (A) stairs, stares (B) stairs, stairs (C) stares, stairs (D) stares, stares Q.2 “In spite of being warned repeatedly, he failed to correct his _________ behaviour. ” The word that best fills the blank in the above sentence is (A) rational (B) reasonable (C) errant (D) good Q.3 For 0 = ?? = 2 ?? , sin ?? and cos ?? are both decreasing functions in the interval ________. (A) ( 0 , ?? 2 ) (B) ( ?? 2 , ?? ) (C) (?? , 3 ?? 2 ) (D) ( 3 ?? 2 , 2 ?? ) Q.4 The area of an equilateral triangle is v 3. What is the perimeter of the triangle? (A) 2 (B) 4 (C) 6 (D) 8 Q.5 Arrange the following three-dimensional objects in the descending order of their volumes: (i) A cuboid with dimensions 10 cm, 8 cm and 6 cm (ii) A cube of side 8 cm (iii) A cylinder with base radius 7 cm and height 7 cm (iv) A sphere of radius 7 cm (A) (i), (ii), (iii), (iv) (B) (ii), (i), (iv), (iii) (C) (iii), (ii), (i), (iv) (D) (iv), (iii), (ii), (i) Q. 6 – Q. 10 carry two marks each. Q.6 An automobile travels from city A to city B and returns to city A by the same route. The speed of the vehicle during the onward and return journeys were constant at 60 km/h and 90 km/h, respectively. What is the average speed in km/h for the entire journey? (A) 72 (B) 73 (C) 74 (D) 75 GATE 2018 General Aptitude (GA) Set-4 GA 2/2 Q.7 A set of 4 parallel lines intersect with another set of 5 parallel lines. How many parallelograms are formed? (A) 20 (B) 48 (C) 60 (D) 72 Q.8 To pass a test, a candidate needs to answer at least 2 out of 3 questions correctly. A total of 6,30,000 candidates appeared for the test. Question A was correctly answered by 3,30,000 candidates. Question B was answered correctly by 2,50,000 candidates. Question C was answered correctly by 2,60,000 candidates. Both questions A and B were answered correctly by 1,00,000 candidates. Both questions B and C were answered correctly by 90,000 candidates. Both questions A and C were answered correctly by 80,000 candidates. If the number of students answering all questions correctly is the same as the number answering none, how many candidates failed to clear the test? (A) 30,000 (B) 2,70,000 (C) 3,90,000 (D) 4,20,000 Q.9 If ?? 2 + ?? - 1 = 0 what is the value of ?? 4 + 1 ?? 4 ? (A) 1 (B) 5 (C) 7 (D) 9 Q.10 In a detailed study of annual crow births in India, it was found that there was relatively no growth during the period 2002 to 2004 and a sudden spike from 2004 to 2005. In another unrelated study, it was found that the revenue from cracker sales in India which remained fairly flat from 2002 to 2004, saw a sudden spike in 2005 before declining again in 2006. The solid line in the graph below refers to annual sale of crackers and the dashed line refers to the annual crow births in India. Choose the most appropriate inference from the above data. (A) There is a strong correlation between crow birth and cracker sales. (B) Cracker usage increases crow birth rate. (C) If cracker sale declines, crow birth will decline. (D) Increased birth rate of crows will cause an increase in the sale of crackers. END OF THE QUESTION PAPER Page 3 GATE 2018 General Aptitude (GA) Set-4 GA 1/2 Q. 1 – Q. 5 carry one mark each. Q.1 “When she fell down the _______, she received many _______ but little help. ” The words that best fill the blanks in the above sentence are (A) stairs, stares (B) stairs, stairs (C) stares, stairs (D) stares, stares Q.2 “In spite of being warned repeatedly, he failed to correct his _________ behaviour. ” The word that best fills the blank in the above sentence is (A) rational (B) reasonable (C) errant (D) good Q.3 For 0 = ?? = 2 ?? , sin ?? and cos ?? are both decreasing functions in the interval ________. (A) ( 0 , ?? 2 ) (B) ( ?? 2 , ?? ) (C) (?? , 3 ?? 2 ) (D) ( 3 ?? 2 , 2 ?? ) Q.4 The area of an equilateral triangle is v 3. What is the perimeter of the triangle? (A) 2 (B) 4 (C) 6 (D) 8 Q.5 Arrange the following three-dimensional objects in the descending order of their volumes: (i) A cuboid with dimensions 10 cm, 8 cm and 6 cm (ii) A cube of side 8 cm (iii) A cylinder with base radius 7 cm and height 7 cm (iv) A sphere of radius 7 cm (A) (i), (ii), (iii), (iv) (B) (ii), (i), (iv), (iii) (C) (iii), (ii), (i), (iv) (D) (iv), (iii), (ii), (i) Q. 6 – Q. 10 carry two marks each. Q.6 An automobile travels from city A to city B and returns to city A by the same route. The speed of the vehicle during the onward and return journeys were constant at 60 km/h and 90 km/h, respectively. What is the average speed in km/h for the entire journey? (A) 72 (B) 73 (C) 74 (D) 75 GATE 2018 General Aptitude (GA) Set-4 GA 2/2 Q.7 A set of 4 parallel lines intersect with another set of 5 parallel lines. How many parallelograms are formed? (A) 20 (B) 48 (C) 60 (D) 72 Q.8 To pass a test, a candidate needs to answer at least 2 out of 3 questions correctly. A total of 6,30,000 candidates appeared for the test. Question A was correctly answered by 3,30,000 candidates. Question B was answered correctly by 2,50,000 candidates. Question C was answered correctly by 2,60,000 candidates. Both questions A and B were answered correctly by 1,00,000 candidates. Both questions B and C were answered correctly by 90,000 candidates. Both questions A and C were answered correctly by 80,000 candidates. If the number of students answering all questions correctly is the same as the number answering none, how many candidates failed to clear the test? (A) 30,000 (B) 2,70,000 (C) 3,90,000 (D) 4,20,000 Q.9 If ?? 2 + ?? - 1 = 0 what is the value of ?? 4 + 1 ?? 4 ? (A) 1 (B) 5 (C) 7 (D) 9 Q.10 In a detailed study of annual crow births in India, it was found that there was relatively no growth during the period 2002 to 2004 and a sudden spike from 2004 to 2005. In another unrelated study, it was found that the revenue from cracker sales in India which remained fairly flat from 2002 to 2004, saw a sudden spike in 2005 before declining again in 2006. The solid line in the graph below refers to annual sale of crackers and the dashed line refers to the annual crow births in India. Choose the most appropriate inference from the above data. (A) There is a strong correlation between crow birth and cracker sales. (B) Cracker usage increases crow birth rate. (C) If cracker sale declines, crow birth will decline. (D) Increased birth rate of crows will cause an increase in the sale of crackers. END OF THE QUESTION PAPER GATE 2018 Metallurgical Engineering MT 1/22 Q. 1 – Q. 25 carry one mark each. Q.1 For a laminar flow of a liquid metal over a flat plate, the thicknesses of the velocity and thermal boundary layers are ?? ?? and ?? ?? respectively. Kinematic viscosity (viscosity/density) of liquid metal is significantly lower than its thermal diffusivity [thermal conductivity / (density × specific heat)]. Based on this information, pick the correct option. (Note: The temperature of the liquid metal is different from that of the plate). (A) ?? ?? < ?? ?? (B) ?? ?? > ?? ?? (C) ?? ?? = ?? ?? (D) Information insufficient Q.2 What is the most-abundant anion in a 2CaO.SiO 2 melt? (A) (SiO 4 ) 4 ? (B) (Si 2 O 7 ) 6 ? (C) (Si 3 O 10 ) 8 ? (D) (Si 4 O 14 ) 10 ? Q.3 Analysis of a flow phenomenon in a system requires the following variables: i. Pressure [M L ? 1 T ?2 ] ii. Velocity of the fluid [L T ?1 ] iii. Size of the system [L] iv. Density of the fluid [M L ?3 ] v. Viscosity of the fluid [M L ?1 T ?1 ] According to Buckingham Pi theorem (dimensional analysis) what is the number of independent DIMENSIONLESS variables needed to describe this system? (A) 2 (B) 3 (C) 4 (D) 5 Page 4 GATE 2018 General Aptitude (GA) Set-4 GA 1/2 Q. 1 – Q. 5 carry one mark each. Q.1 “When she fell down the _______, she received many _______ but little help. ” The words that best fill the blanks in the above sentence are (A) stairs, stares (B) stairs, stairs (C) stares, stairs (D) stares, stares Q.2 “In spite of being warned repeatedly, he failed to correct his _________ behaviour. ” The word that best fills the blank in the above sentence is (A) rational (B) reasonable (C) errant (D) good Q.3 For 0 = ?? = 2 ?? , sin ?? and cos ?? are both decreasing functions in the interval ________. (A) ( 0 , ?? 2 ) (B) ( ?? 2 , ?? ) (C) (?? , 3 ?? 2 ) (D) ( 3 ?? 2 , 2 ?? ) Q.4 The area of an equilateral triangle is v 3. What is the perimeter of the triangle? (A) 2 (B) 4 (C) 6 (D) 8 Q.5 Arrange the following three-dimensional objects in the descending order of their volumes: (i) A cuboid with dimensions 10 cm, 8 cm and 6 cm (ii) A cube of side 8 cm (iii) A cylinder with base radius 7 cm and height 7 cm (iv) A sphere of radius 7 cm (A) (i), (ii), (iii), (iv) (B) (ii), (i), (iv), (iii) (C) (iii), (ii), (i), (iv) (D) (iv), (iii), (ii), (i) Q. 6 – Q. 10 carry two marks each. Q.6 An automobile travels from city A to city B and returns to city A by the same route. The speed of the vehicle during the onward and return journeys were constant at 60 km/h and 90 km/h, respectively. What is the average speed in km/h for the entire journey? (A) 72 (B) 73 (C) 74 (D) 75 GATE 2018 General Aptitude (GA) Set-4 GA 2/2 Q.7 A set of 4 parallel lines intersect with another set of 5 parallel lines. How many parallelograms are formed? (A) 20 (B) 48 (C) 60 (D) 72 Q.8 To pass a test, a candidate needs to answer at least 2 out of 3 questions correctly. A total of 6,30,000 candidates appeared for the test. Question A was correctly answered by 3,30,000 candidates. Question B was answered correctly by 2,50,000 candidates. Question C was answered correctly by 2,60,000 candidates. Both questions A and B were answered correctly by 1,00,000 candidates. Both questions B and C were answered correctly by 90,000 candidates. Both questions A and C were answered correctly by 80,000 candidates. If the number of students answering all questions correctly is the same as the number answering none, how many candidates failed to clear the test? (A) 30,000 (B) 2,70,000 (C) 3,90,000 (D) 4,20,000 Q.9 If ?? 2 + ?? - 1 = 0 what is the value of ?? 4 + 1 ?? 4 ? (A) 1 (B) 5 (C) 7 (D) 9 Q.10 In a detailed study of annual crow births in India, it was found that there was relatively no growth during the period 2002 to 2004 and a sudden spike from 2004 to 2005. In another unrelated study, it was found that the revenue from cracker sales in India which remained fairly flat from 2002 to 2004, saw a sudden spike in 2005 before declining again in 2006. The solid line in the graph below refers to annual sale of crackers and the dashed line refers to the annual crow births in India. Choose the most appropriate inference from the above data. (A) There is a strong correlation between crow birth and cracker sales. (B) Cracker usage increases crow birth rate. (C) If cracker sale declines, crow birth will decline. (D) Increased birth rate of crows will cause an increase in the sale of crackers. END OF THE QUESTION PAPER GATE 2018 Metallurgical Engineering MT 1/22 Q. 1 – Q. 25 carry one mark each. Q.1 For a laminar flow of a liquid metal over a flat plate, the thicknesses of the velocity and thermal boundary layers are ?? ?? and ?? ?? respectively. Kinematic viscosity (viscosity/density) of liquid metal is significantly lower than its thermal diffusivity [thermal conductivity / (density × specific heat)]. Based on this information, pick the correct option. (Note: The temperature of the liquid metal is different from that of the plate). (A) ?? ?? < ?? ?? (B) ?? ?? > ?? ?? (C) ?? ?? = ?? ?? (D) Information insufficient Q.2 What is the most-abundant anion in a 2CaO.SiO 2 melt? (A) (SiO 4 ) 4 ? (B) (Si 2 O 7 ) 6 ? (C) (Si 3 O 10 ) 8 ? (D) (Si 4 O 14 ) 10 ? Q.3 Analysis of a flow phenomenon in a system requires the following variables: i. Pressure [M L ? 1 T ?2 ] ii. Velocity of the fluid [L T ?1 ] iii. Size of the system [L] iv. Density of the fluid [M L ?3 ] v. Viscosity of the fluid [M L ?1 T ?1 ] According to Buckingham Pi theorem (dimensional analysis) what is the number of independent DIMENSIONLESS variables needed to describe this system? (A) 2 (B) 3 (C) 4 (D) 5 GATE 2018 Metallurgical Engineering MT 2/22 Q.4 In froth flotation, the primary purpose of adding collectors is to: (A) make the surface of the mineral hydrophobic. (B) make the surface of the mineral hydrophilic. (C) stabilize the froth. (D) adjust the pH. Q.5 Arrange the following in the correct sequence of operations in an integrated steel plant: i. Basic Oxygen Furnace (BOF) ii. Blast Furnace (BF) iii. Ruhrstahl Heraeus Degassing Process (RH) iv. Ladle Furnace Process (LF) (A) BOF ?BF ?LF ?RH (B) BF ?LF ?BOF ?RH (C) RH ?LF ?BF ?BOF (D) BF ?BOF ?LF ?RH Q.6 During decarburization in a steel bath at 1550 o C, the compositions of dissolved C (wt.%C) and dissolved O (wt.%O) follow the relation: (wt.%C)(wt.%O) = K When the partial pressure of CO (?? ???? ) is 1 atm, K = 0.002. If ?? ???? = 0.1 atm, what is the value of K, at the same temperature? Note: Assume Henry’s law is applicable. (A) 0.06 (B) 0.002 (C) 0.02 (D) 0.0002 Page 5 GATE 2018 General Aptitude (GA) Set-4 GA 1/2 Q. 1 – Q. 5 carry one mark each. Q.1 “When she fell down the _______, she received many _______ but little help. ” The words that best fill the blanks in the above sentence are (A) stairs, stares (B) stairs, stairs (C) stares, stairs (D) stares, stares Q.2 “In spite of being warned repeatedly, he failed to correct his _________ behaviour. ” The word that best fills the blank in the above sentence is (A) rational (B) reasonable (C) errant (D) good Q.3 For 0 = ?? = 2 ?? , sin ?? and cos ?? are both decreasing functions in the interval ________. (A) ( 0 , ?? 2 ) (B) ( ?? 2 , ?? ) (C) (?? , 3 ?? 2 ) (D) ( 3 ?? 2 , 2 ?? ) Q.4 The area of an equilateral triangle is v 3. What is the perimeter of the triangle? (A) 2 (B) 4 (C) 6 (D) 8 Q.5 Arrange the following three-dimensional objects in the descending order of their volumes: (i) A cuboid with dimensions 10 cm, 8 cm and 6 cm (ii) A cube of side 8 cm (iii) A cylinder with base radius 7 cm and height 7 cm (iv) A sphere of radius 7 cm (A) (i), (ii), (iii), (iv) (B) (ii), (i), (iv), (iii) (C) (iii), (ii), (i), (iv) (D) (iv), (iii), (ii), (i) Q. 6 – Q. 10 carry two marks each. Q.6 An automobile travels from city A to city B and returns to city A by the same route. The speed of the vehicle during the onward and return journeys were constant at 60 km/h and 90 km/h, respectively. What is the average speed in km/h for the entire journey? (A) 72 (B) 73 (C) 74 (D) 75 GATE 2018 General Aptitude (GA) Set-4 GA 2/2 Q.7 A set of 4 parallel lines intersect with another set of 5 parallel lines. How many parallelograms are formed? (A) 20 (B) 48 (C) 60 (D) 72 Q.8 To pass a test, a candidate needs to answer at least 2 out of 3 questions correctly. A total of 6,30,000 candidates appeared for the test. Question A was correctly answered by 3,30,000 candidates. Question B was answered correctly by 2,50,000 candidates. Question C was answered correctly by 2,60,000 candidates. Both questions A and B were answered correctly by 1,00,000 candidates. Both questions B and C were answered correctly by 90,000 candidates. Both questions A and C were answered correctly by 80,000 candidates. If the number of students answering all questions correctly is the same as the number answering none, how many candidates failed to clear the test? (A) 30,000 (B) 2,70,000 (C) 3,90,000 (D) 4,20,000 Q.9 If ?? 2 + ?? - 1 = 0 what is the value of ?? 4 + 1 ?? 4 ? (A) 1 (B) 5 (C) 7 (D) 9 Q.10 In a detailed study of annual crow births in India, it was found that there was relatively no growth during the period 2002 to 2004 and a sudden spike from 2004 to 2005. In another unrelated study, it was found that the revenue from cracker sales in India which remained fairly flat from 2002 to 2004, saw a sudden spike in 2005 before declining again in 2006. The solid line in the graph below refers to annual sale of crackers and the dashed line refers to the annual crow births in India. Choose the most appropriate inference from the above data. (A) There is a strong correlation between crow birth and cracker sales. (B) Cracker usage increases crow birth rate. (C) If cracker sale declines, crow birth will decline. (D) Increased birth rate of crows will cause an increase in the sale of crackers. END OF THE QUESTION PAPER GATE 2018 Metallurgical Engineering MT 1/22 Q. 1 – Q. 25 carry one mark each. Q.1 For a laminar flow of a liquid metal over a flat plate, the thicknesses of the velocity and thermal boundary layers are ?? ?? and ?? ?? respectively. Kinematic viscosity (viscosity/density) of liquid metal is significantly lower than its thermal diffusivity [thermal conductivity / (density × specific heat)]. Based on this information, pick the correct option. (Note: The temperature of the liquid metal is different from that of the plate). (A) ?? ?? < ?? ?? (B) ?? ?? > ?? ?? (C) ?? ?? = ?? ?? (D) Information insufficient Q.2 What is the most-abundant anion in a 2CaO.SiO 2 melt? (A) (SiO 4 ) 4 ? (B) (Si 2 O 7 ) 6 ? (C) (Si 3 O 10 ) 8 ? (D) (Si 4 O 14 ) 10 ? Q.3 Analysis of a flow phenomenon in a system requires the following variables: i. Pressure [M L ? 1 T ?2 ] ii. Velocity of the fluid [L T ?1 ] iii. Size of the system [L] iv. Density of the fluid [M L ?3 ] v. Viscosity of the fluid [M L ?1 T ?1 ] According to Buckingham Pi theorem (dimensional analysis) what is the number of independent DIMENSIONLESS variables needed to describe this system? (A) 2 (B) 3 (C) 4 (D) 5 GATE 2018 Metallurgical Engineering MT 2/22 Q.4 In froth flotation, the primary purpose of adding collectors is to: (A) make the surface of the mineral hydrophobic. (B) make the surface of the mineral hydrophilic. (C) stabilize the froth. (D) adjust the pH. Q.5 Arrange the following in the correct sequence of operations in an integrated steel plant: i. Basic Oxygen Furnace (BOF) ii. Blast Furnace (BF) iii. Ruhrstahl Heraeus Degassing Process (RH) iv. Ladle Furnace Process (LF) (A) BOF ?BF ?LF ?RH (B) BF ?LF ?BOF ?RH (C) RH ?LF ?BF ?BOF (D) BF ?BOF ?LF ?RH Q.6 During decarburization in a steel bath at 1550 o C, the compositions of dissolved C (wt.%C) and dissolved O (wt.%O) follow the relation: (wt.%C)(wt.%O) = K When the partial pressure of CO (?? ???? ) is 1 atm, K = 0.002. If ?? ???? = 0.1 atm, what is the value of K, at the same temperature? Note: Assume Henry’s law is applicable. (A) 0.06 (B) 0.002 (C) 0.02 (D) 0.0002 GATE 2018 Metallurgical Engineering MT 3/22 Q.7 During upset forging, and considering friction, which of the following profiles represents the axial compressive stress? Note: In these profiles, the absolute value of the axial compressive stress is plotted on the y-axis. (A) P (B) Q (C) R (D) S Q.8 Consider the following engineering components: P. Gas turbine blades Q. Tungsten-based heavy alloy penetrators R. Self-lubricating bearings S. Engine block of an automobile Which of the following two components are produced by powder metallurgy? (A) P & Q (B) Q & R (C) Q & S (D) P & SRead More

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