Page 1 GATE 2018 General Aptitude (GA) Set-1 GA 1/2 Q. 1 – Q. 5 carry one mark each. Q.1 “Going by the _________ that many hands make light work, the school _______ involved all the students in the task .” The words that best fill the blanks in the above sentence are (A) principle, principal (B) principal, principle (C) principle, principle (D) principal, principal Q.2 “Her _______ should not be confused with miserliness; she is ever willing to assist those in need. ” The word that best fills the blank in the above sentence is (A) cleanliness (B) punctuality (C) frugality (D) greatness Q.3 Seven machines take 7 minutes to make 7 identical toys. At the same rate, how many minutes would it take for 100 machines to make 100 toys? (A) 1 (B) 7 (C) 100 (D) 700 Q.4 A rectangle becomes a square when its length and breadth are reduced by 10 m and 5 m, respectively. During this process, the rectangle loses 650 m 2 of area. What is the area of the original rectangle in square meters? (A) 1125 (B) 2250 (C) 2924 (D) 4500 Q.5 A number consists of two digits. The sum of the digits is 9. If 45 is subtracted from the number, its digits are interchanged. What is the number? (A) 63 (B) 72 (C) 81 (D) 90 Q. 6 – Q. 10 carry two marks each. Q.6 For integers ?? , ?? and ?? , what would be the minimum and maximum values respectively of ?? + ?? + ?? if log |?? | + log |?? | + log |?? | = 0? (A) -3 and 3 (B) -1 and 1 (C) -1 and 3 (D) 1 and 3 Page 2 GATE 2018 General Aptitude (GA) Set-1 GA 1/2 Q. 1 – Q. 5 carry one mark each. Q.1 “Going by the _________ that many hands make light work, the school _______ involved all the students in the task .” The words that best fill the blanks in the above sentence are (A) principle, principal (B) principal, principle (C) principle, principle (D) principal, principal Q.2 “Her _______ should not be confused with miserliness; she is ever willing to assist those in need. ” The word that best fills the blank in the above sentence is (A) cleanliness (B) punctuality (C) frugality (D) greatness Q.3 Seven machines take 7 minutes to make 7 identical toys. At the same rate, how many minutes would it take for 100 machines to make 100 toys? (A) 1 (B) 7 (C) 100 (D) 700 Q.4 A rectangle becomes a square when its length and breadth are reduced by 10 m and 5 m, respectively. During this process, the rectangle loses 650 m 2 of area. What is the area of the original rectangle in square meters? (A) 1125 (B) 2250 (C) 2924 (D) 4500 Q.5 A number consists of two digits. The sum of the digits is 9. If 45 is subtracted from the number, its digits are interchanged. What is the number? (A) 63 (B) 72 (C) 81 (D) 90 Q. 6 – Q. 10 carry two marks each. Q.6 For integers ?? , ?? and ?? , what would be the minimum and maximum values respectively of ?? + ?? + ?? if log |?? | + log |?? | + log |?? | = 0? (A) -3 and 3 (B) -1 and 1 (C) -1 and 3 (D) 1 and 3 GATE 2018 General Aptitude (GA) Set-1 GA 2/2 Q.7 Given that ?? and ?? are integers and ?? + ?? 2 ?? 3 is odd, which one of the following statements is correct? (A) ?? and ?? are both odd (B) ?? and ?? are both even (C) ?? is even and ?? is odd (D) ?? is odd and ?? is even Q.8 From the time the front of a train enters a platform, it takes 25 seconds for the back of the train to leave the platform, while travelling at a constant speed of 54 km/h. At the same speed, it takes 14 seconds to pass a man running at 9 km/h in the same direction as the train. What is the length of the train and that of the platform in meters, respectively? (A) 210 and 140 (B) 162.5 and 187.5 (C) 245 and 130 (D) 175 and 200 Q.9 Which of the following functions describe the graph shown in the below figure? (A) ?? = ||?? | + 1| - 2 (B) ?? = ||?? | - 1| - 1 (C) ?? = ||?? | + 1| - 1 (D) ?? = ||?? - 1| - 1| Q.10 Consider the following three statements: (i) Some roses are red. (ii) All red flowers fade quickly. (iii) Some roses fade quickly. Which of the following statements can be logically inferred from the above statements? (A) If (i) is true and (ii) is false, then (iii) is false. (B) If (i) is true and (ii) is false, then (iii) is true. (C) If (i) and (ii) are true, then (iii) is true. (D) If (i) and (ii) are false, then (iii) is false. END OF THE QUESTION PAPER Page 3 GATE 2018 General Aptitude (GA) Set-1 GA 1/2 Q. 1 – Q. 5 carry one mark each. Q.1 “Going by the _________ that many hands make light work, the school _______ involved all the students in the task .” The words that best fill the blanks in the above sentence are (A) principle, principal (B) principal, principle (C) principle, principle (D) principal, principal Q.2 “Her _______ should not be confused with miserliness; she is ever willing to assist those in need. ” The word that best fills the blank in the above sentence is (A) cleanliness (B) punctuality (C) frugality (D) greatness Q.3 Seven machines take 7 minutes to make 7 identical toys. At the same rate, how many minutes would it take for 100 machines to make 100 toys? (A) 1 (B) 7 (C) 100 (D) 700 Q.4 A rectangle becomes a square when its length and breadth are reduced by 10 m and 5 m, respectively. During this process, the rectangle loses 650 m 2 of area. What is the area of the original rectangle in square meters? (A) 1125 (B) 2250 (C) 2924 (D) 4500 Q.5 A number consists of two digits. The sum of the digits is 9. If 45 is subtracted from the number, its digits are interchanged. What is the number? (A) 63 (B) 72 (C) 81 (D) 90 Q. 6 – Q. 10 carry two marks each. Q.6 For integers ?? , ?? and ?? , what would be the minimum and maximum values respectively of ?? + ?? + ?? if log |?? | + log |?? | + log |?? | = 0? (A) -3 and 3 (B) -1 and 1 (C) -1 and 3 (D) 1 and 3 GATE 2018 General Aptitude (GA) Set-1 GA 2/2 Q.7 Given that ?? and ?? are integers and ?? + ?? 2 ?? 3 is odd, which one of the following statements is correct? (A) ?? and ?? are both odd (B) ?? and ?? are both even (C) ?? is even and ?? is odd (D) ?? is odd and ?? is even Q.8 From the time the front of a train enters a platform, it takes 25 seconds for the back of the train to leave the platform, while travelling at a constant speed of 54 km/h. At the same speed, it takes 14 seconds to pass a man running at 9 km/h in the same direction as the train. What is the length of the train and that of the platform in meters, respectively? (A) 210 and 140 (B) 162.5 and 187.5 (C) 245 and 130 (D) 175 and 200 Q.9 Which of the following functions describe the graph shown in the below figure? (A) ?? = ||?? | + 1| - 2 (B) ?? = ||?? | - 1| - 1 (C) ?? = ||?? | + 1| - 1 (D) ?? = ||?? - 1| - 1| Q.10 Consider the following three statements: (i) Some roses are red. (ii) All red flowers fade quickly. (iii) Some roses fade quickly. Which of the following statements can be logically inferred from the above statements? (A) If (i) is true and (ii) is false, then (iii) is false. (B) If (i) is true and (ii) is false, then (iii) is true. (C) If (i) and (ii) are true, then (iii) is true. (D) If (i) and (ii) are false, then (iii) is false. END OF THE QUESTION PAPER GATE 2018 Chemistry (COMPULSORY) – XL-P XL-P 1/3 XL-P: Q. 1 – Q. 5 carry one mark each & Q. 6 – Q. 15 carry two marks each Q.1 For the complete combustion of graphite and diamond in oxygen individually, the standard enthalpy change ( ?H o 298) values are ?393.5 kJ mol ?1 and ?395.4 kJ mol ?1 , respectively. Then, the ?H o 298 for the conversion of graphite into diamond is (A) +1.9 kJ mol ?1 (B) ?1.9 kJ mol ?1 (C) +3.8 kJ mol ?1 (D) ?3.8 kJ mol ?1 Q.2 For a 4s orbital of hydrogen atom, the magnetic quantum number (ml) is (A) 4 (B) 3 (C) 1 (D) 0 Q.3 Hybridization of xenon in XeF2 is (A) sp (B) sp 2 (C) sp 3 (D) sp 3 d Q.4 Two equivalents of P react with one equivalent of Q to produce a major product R. (C 6 H 5 ) 3 P P(C 6 H 5 ) 3 CH 3 CH 3 CHO CH 3 CH 3 CH 3 H 3 C P Q = = The number of double bonds present in the major product R is _______. Q.5 The total number of possible stereoisomers for the compound with the structural formula CH3CH(OH)CH=CHCH2CH3 is _______. Q.6 Among B ?H, C ?H, N ?H and Si ?H bonds in BH3, CH4, NH3 and SiH4, respectively, the polarity of the bond which is shown INCORRECTLY is (A) B ?+ ?H ? ? (B) C ? ? ?H ?+ (C) N ? ? ?H ?+ (D) Si ? ? ?H ?+ Q.7 Among the following statements, (i) [NiCl4] 2 ? (atomic number of Ni = 28) is diamagnetic (ii) Ethylamine is a weaker Lewis base compared to pyridine (iii) [NiCl2{P(C6H5)3}2] has two geometrical isomers (iv) Bond angle in H2O is greater than that in H2S, the CORRECT one is (A) (i) (B) (ii) (C) (iii) (D) (iv) Page 4 GATE 2018 General Aptitude (GA) Set-1 GA 1/2 Q. 1 – Q. 5 carry one mark each. Q.1 “Going by the _________ that many hands make light work, the school _______ involved all the students in the task .” The words that best fill the blanks in the above sentence are (A) principle, principal (B) principal, principle (C) principle, principle (D) principal, principal Q.2 “Her _______ should not be confused with miserliness; she is ever willing to assist those in need. ” The word that best fills the blank in the above sentence is (A) cleanliness (B) punctuality (C) frugality (D) greatness Q.3 Seven machines take 7 minutes to make 7 identical toys. At the same rate, how many minutes would it take for 100 machines to make 100 toys? (A) 1 (B) 7 (C) 100 (D) 700 Q.4 A rectangle becomes a square when its length and breadth are reduced by 10 m and 5 m, respectively. During this process, the rectangle loses 650 m 2 of area. What is the area of the original rectangle in square meters? (A) 1125 (B) 2250 (C) 2924 (D) 4500 Q.5 A number consists of two digits. The sum of the digits is 9. If 45 is subtracted from the number, its digits are interchanged. What is the number? (A) 63 (B) 72 (C) 81 (D) 90 Q. 6 – Q. 10 carry two marks each. Q.6 For integers ?? , ?? and ?? , what would be the minimum and maximum values respectively of ?? + ?? + ?? if log |?? | + log |?? | + log |?? | = 0? (A) -3 and 3 (B) -1 and 1 (C) -1 and 3 (D) 1 and 3 GATE 2018 General Aptitude (GA) Set-1 GA 2/2 Q.7 Given that ?? and ?? are integers and ?? + ?? 2 ?? 3 is odd, which one of the following statements is correct? (A) ?? and ?? are both odd (B) ?? and ?? are both even (C) ?? is even and ?? is odd (D) ?? is odd and ?? is even Q.8 From the time the front of a train enters a platform, it takes 25 seconds for the back of the train to leave the platform, while travelling at a constant speed of 54 km/h. At the same speed, it takes 14 seconds to pass a man running at 9 km/h in the same direction as the train. What is the length of the train and that of the platform in meters, respectively? (A) 210 and 140 (B) 162.5 and 187.5 (C) 245 and 130 (D) 175 and 200 Q.9 Which of the following functions describe the graph shown in the below figure? (A) ?? = ||?? | + 1| - 2 (B) ?? = ||?? | - 1| - 1 (C) ?? = ||?? | + 1| - 1 (D) ?? = ||?? - 1| - 1| Q.10 Consider the following three statements: (i) Some roses are red. (ii) All red flowers fade quickly. (iii) Some roses fade quickly. Which of the following statements can be logically inferred from the above statements? (A) If (i) is true and (ii) is false, then (iii) is false. (B) If (i) is true and (ii) is false, then (iii) is true. (C) If (i) and (ii) are true, then (iii) is true. (D) If (i) and (ii) are false, then (iii) is false. END OF THE QUESTION PAPER GATE 2018 Chemistry (COMPULSORY) – XL-P XL-P 1/3 XL-P: Q. 1 – Q. 5 carry one mark each & Q. 6 – Q. 15 carry two marks each Q.1 For the complete combustion of graphite and diamond in oxygen individually, the standard enthalpy change ( ?H o 298) values are ?393.5 kJ mol ?1 and ?395.4 kJ mol ?1 , respectively. Then, the ?H o 298 for the conversion of graphite into diamond is (A) +1.9 kJ mol ?1 (B) ?1.9 kJ mol ?1 (C) +3.8 kJ mol ?1 (D) ?3.8 kJ mol ?1 Q.2 For a 4s orbital of hydrogen atom, the magnetic quantum number (ml) is (A) 4 (B) 3 (C) 1 (D) 0 Q.3 Hybridization of xenon in XeF2 is (A) sp (B) sp 2 (C) sp 3 (D) sp 3 d Q.4 Two equivalents of P react with one equivalent of Q to produce a major product R. (C 6 H 5 ) 3 P P(C 6 H 5 ) 3 CH 3 CH 3 CHO CH 3 CH 3 CH 3 H 3 C P Q = = The number of double bonds present in the major product R is _______. Q.5 The total number of possible stereoisomers for the compound with the structural formula CH3CH(OH)CH=CHCH2CH3 is _______. Q.6 Among B ?H, C ?H, N ?H and Si ?H bonds in BH3, CH4, NH3 and SiH4, respectively, the polarity of the bond which is shown INCORRECTLY is (A) B ?+ ?H ? ? (B) C ? ? ?H ?+ (C) N ? ? ?H ?+ (D) Si ? ? ?H ?+ Q.7 Among the following statements, (i) [NiCl4] 2 ? (atomic number of Ni = 28) is diamagnetic (ii) Ethylamine is a weaker Lewis base compared to pyridine (iii) [NiCl2{P(C6H5)3}2] has two geometrical isomers (iv) Bond angle in H2O is greater than that in H2S, the CORRECT one is (A) (i) (B) (ii) (C) (iii) (D) (iv) GATE 2018 Chemistry (COMPULSORY) – XL-P XL-P 2/3 Q.8 In [Mn(H2O)6] 2+ (atomic number of Mn = 25), the d-d transitions according to crystal field theory (CFT) are (A) Laporte forbidden and spin forbidden (B) Laporte allowed and spin allowed (C) Laporte forbidden and spin allowed (D) Laporte allowed and spin forbidden Q.9 The major product M in the reaction M (i) O 3 (ii) Zn, AcOH + CH 2 O CH 3 CH 2 H 3 C is (A) CH 3 O O O H H 3 C (B) H CH 3 O O O CH 3 (C) H 3 C H O O O CH 3 (D) H 3 C CH 3 O O O H Q.10 The two major products of the reaction CH 3 NHCH 2 CH 3 (i) excess CH 3 I (ii) Ag 2 O, H 2 O, are (A) CH 3 N(CH 3 ) 2 and CH 2 =CH 2 (B) CH 3 and N(CH 3 ) 2 CH 2 CH 3 (C) CH 3 and N(CH 3 ) 2 CH 2 CH 3 (D) CH 3 and HN(CH 3 )CH 2 CH 3 Page 5 GATE 2018 General Aptitude (GA) Set-1 GA 1/2 Q. 1 – Q. 5 carry one mark each. Q.1 “Going by the _________ that many hands make light work, the school _______ involved all the students in the task .” The words that best fill the blanks in the above sentence are (A) principle, principal (B) principal, principle (C) principle, principle (D) principal, principal Q.2 “Her _______ should not be confused with miserliness; she is ever willing to assist those in need. ” The word that best fills the blank in the above sentence is (A) cleanliness (B) punctuality (C) frugality (D) greatness Q.3 Seven machines take 7 minutes to make 7 identical toys. At the same rate, how many minutes would it take for 100 machines to make 100 toys? (A) 1 (B) 7 (C) 100 (D) 700 Q.4 A rectangle becomes a square when its length and breadth are reduced by 10 m and 5 m, respectively. During this process, the rectangle loses 650 m 2 of area. What is the area of the original rectangle in square meters? (A) 1125 (B) 2250 (C) 2924 (D) 4500 Q.5 A number consists of two digits. The sum of the digits is 9. If 45 is subtracted from the number, its digits are interchanged. What is the number? (A) 63 (B) 72 (C) 81 (D) 90 Q. 6 – Q. 10 carry two marks each. Q.6 For integers ?? , ?? and ?? , what would be the minimum and maximum values respectively of ?? + ?? + ?? if log |?? | + log |?? | + log |?? | = 0? (A) -3 and 3 (B) -1 and 1 (C) -1 and 3 (D) 1 and 3 GATE 2018 General Aptitude (GA) Set-1 GA 2/2 Q.7 Given that ?? and ?? are integers and ?? + ?? 2 ?? 3 is odd, which one of the following statements is correct? (A) ?? and ?? are both odd (B) ?? and ?? are both even (C) ?? is even and ?? is odd (D) ?? is odd and ?? is even Q.8 From the time the front of a train enters a platform, it takes 25 seconds for the back of the train to leave the platform, while travelling at a constant speed of 54 km/h. At the same speed, it takes 14 seconds to pass a man running at 9 km/h in the same direction as the train. What is the length of the train and that of the platform in meters, respectively? (A) 210 and 140 (B) 162.5 and 187.5 (C) 245 and 130 (D) 175 and 200 Q.9 Which of the following functions describe the graph shown in the below figure? (A) ?? = ||?? | + 1| - 2 (B) ?? = ||?? | - 1| - 1 (C) ?? = ||?? | + 1| - 1 (D) ?? = ||?? - 1| - 1| Q.10 Consider the following three statements: (i) Some roses are red. (ii) All red flowers fade quickly. (iii) Some roses fade quickly. Which of the following statements can be logically inferred from the above statements? (A) If (i) is true and (ii) is false, then (iii) is false. (B) If (i) is true and (ii) is false, then (iii) is true. (C) If (i) and (ii) are true, then (iii) is true. (D) If (i) and (ii) are false, then (iii) is false. END OF THE QUESTION PAPER GATE 2018 Chemistry (COMPULSORY) – XL-P XL-P 1/3 XL-P: Q. 1 – Q. 5 carry one mark each & Q. 6 – Q. 15 carry two marks each Q.1 For the complete combustion of graphite and diamond in oxygen individually, the standard enthalpy change ( ?H o 298) values are ?393.5 kJ mol ?1 and ?395.4 kJ mol ?1 , respectively. Then, the ?H o 298 for the conversion of graphite into diamond is (A) +1.9 kJ mol ?1 (B) ?1.9 kJ mol ?1 (C) +3.8 kJ mol ?1 (D) ?3.8 kJ mol ?1 Q.2 For a 4s orbital of hydrogen atom, the magnetic quantum number (ml) is (A) 4 (B) 3 (C) 1 (D) 0 Q.3 Hybridization of xenon in XeF2 is (A) sp (B) sp 2 (C) sp 3 (D) sp 3 d Q.4 Two equivalents of P react with one equivalent of Q to produce a major product R. (C 6 H 5 ) 3 P P(C 6 H 5 ) 3 CH 3 CH 3 CHO CH 3 CH 3 CH 3 H 3 C P Q = = The number of double bonds present in the major product R is _______. Q.5 The total number of possible stereoisomers for the compound with the structural formula CH3CH(OH)CH=CHCH2CH3 is _______. Q.6 Among B ?H, C ?H, N ?H and Si ?H bonds in BH3, CH4, NH3 and SiH4, respectively, the polarity of the bond which is shown INCORRECTLY is (A) B ?+ ?H ? ? (B) C ? ? ?H ?+ (C) N ? ? ?H ?+ (D) Si ? ? ?H ?+ Q.7 Among the following statements, (i) [NiCl4] 2 ? (atomic number of Ni = 28) is diamagnetic (ii) Ethylamine is a weaker Lewis base compared to pyridine (iii) [NiCl2{P(C6H5)3}2] has two geometrical isomers (iv) Bond angle in H2O is greater than that in H2S, the CORRECT one is (A) (i) (B) (ii) (C) (iii) (D) (iv) GATE 2018 Chemistry (COMPULSORY) – XL-P XL-P 2/3 Q.8 In [Mn(H2O)6] 2+ (atomic number of Mn = 25), the d-d transitions according to crystal field theory (CFT) are (A) Laporte forbidden and spin forbidden (B) Laporte allowed and spin allowed (C) Laporte forbidden and spin allowed (D) Laporte allowed and spin forbidden Q.9 The major product M in the reaction M (i) O 3 (ii) Zn, AcOH + CH 2 O CH 3 CH 2 H 3 C is (A) CH 3 O O O H H 3 C (B) H CH 3 O O O CH 3 (C) H 3 C H O O O CH 3 (D) H 3 C CH 3 O O O H Q.10 The two major products of the reaction CH 3 NHCH 2 CH 3 (i) excess CH 3 I (ii) Ag 2 O, H 2 O, are (A) CH 3 N(CH 3 ) 2 and CH 2 =CH 2 (B) CH 3 and N(CH 3 ) 2 CH 2 CH 3 (C) CH 3 and N(CH 3 ) 2 CH 2 CH 3 (D) CH 3 and HN(CH 3 )CH 2 CH 3 GATE 2018 Chemistry (COMPULSORY) – XL-P XL-P 3/3 Q.11 The compound, which upon mono-nitration using a mixture of HNO3 and H2SO4, does NOT give the meta-isomer as the major product, is (A) CF 3 (B) NO 2 (C) NHCOCH 3 (D) COOH Q.12 The standard reduction potential (E o ) for the conversion of Cr2O7 2 ? to Cr 3+ at 25 ?C in an aqueous solution of pH 3.0 is 1.33 V. The concentrations of Cr2O7 2 ? and Cr 3+ are 1.0 × 10 ?4 M and 1.0 × 10 ?3 M, respectively. Then the potential of this half-cell reaction is (Given: Faraday constant = 96500 C mol ?1 , Gas constant R = 8.314 J K ?1 mol ?1 ) (A) 1.04 V (B) 0.94 V (C) 0.84 V (D) 0.74 V Q.13 The solubility product (Ksp) of Mg(OH)2 at 25 ?C is 5.6 × 10 ?11 . Its solubility in water is S × 10 ?2 g/L, where the value of S is _______ (up to two decimal places). (Given: Molecular weight of Mg(OH)2 = 58.3 g mol ?1 ) Q.14 The activation energy (Ea) values for two reactions carried out at 25 ?C differ by 5.0 kJ mol ?1 . If the pre-exponential factors (A1 and A2) for these two reactions are of the same magnitude, the ratio of rate constants (k1/k2) is _______ (up to two decimal places). (Given: Gas constant R = 8.314 J K ?1 mol ?1 ) Q.15 One mole of helium gas in an isolated system undergoes a reversible isothermal expansion at 25 ?C from an initial volume of 2.0 liters to a final volume of 10.0 liters. The change in entropy ( ?S) of the surroundings is ______ J K ?1 (up to two decimal places). (Given: Gas constant R = 8.314 J K ?1 mol ?1 ) END OF THE QUESTION PAPERRead More

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