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GATE 2018
Q. 1 – Q. 5 carry one mark each.
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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
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(A) principle, principal
(B) principal, principle
(C) principle, principle
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(D) principal, principal
Q.2 "Her should not be confused with miserliness; she is ever willing to assist those in need."
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The word that best fills the blank in the above sentence is
(A) cleanliness (B) punctuality
(C) frugality
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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
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(B) 7
(C) 100
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 m² of area. What is the area of the original rectangle in square meters?
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(A) 1125
(B) 2250
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(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
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(B) 72
(C) 81
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(D) 90
Q. 6 – Q. 10 carry two marks each.
Q.6 For integers a, b and c, what would be the minimum and maximum values respectively of a + b + c if log |a| + log |b| + log |c| = 0?
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(A) -3 and 3
(B) -1 and 1
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(C) -1 and 3
(D) 1 and 3
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GATE 2018
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Q.7 Given that a and b are integers and a + a² b³ is odd, which one of the following statements is correct?
(A) a and b are both odd
(B) a and b are both even
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(C) a is even and b is odd
(D) a is odd and b is even
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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
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(C) 245 and 130
(D) 175 and 200
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Q.9 Which of the following functions describe the graph shown in the below figure?
(A) y = ||x| + 1| - 2
(B) y = ||x| - 1| - 1
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(C) y = ||x| + 1| - 1
(D) y = ||x - 1| – 1|
Q.10 Consider the following three statements:
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(i) Some roses are red.
(ii) All red flowers fade quickly.
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(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.
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(B) If (i) is true and (ii) is false, then (iii) is true.
(C) If (i) and (ii) are true, then (iii) is true.
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(D) If (i) and (ii) are false, then (iii) is false.
END OF THE QUESTION PAPER
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Firstranker's choice
GATE 2018
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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 (?°298) values are –393.5 kJ mol-¹ and –395.4 kJ mol-¹, respectively. Then, the ?H°298 for the conversion of graphite into diamond is
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(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 (mi) is
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(A) 4
(B) 3
(C) 1
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(D) 0
Q.3 Hybridization of xenon in XeF2 is
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(A) sp
(B) sp²
(C) sp³
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(D) sp³d
Q.4 Two equivalents of P react with one equivalent of Q to produce a major product R.
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P =
Q =
The number of double bonds present in the major product R is
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Q.5 The total number of possible stereoisomers for the compound with the structural formula CH3CH(OH)CH=CHCH2CH3 is
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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) Bd+-Hd-
(B) Cd--Hd+
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(C) Nd--Hd+
(D) Sid--Hd+
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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
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(iii) [NiCl2{P(C6H5)3}2] has two geometrical isomers
(iv) Bond angle in H2O is greater than that in H2S,
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the CORRECT one is
(A) (i)
(B) (ii)
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(C) (iii)
(D) (iv)
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Firstranker's choice
GATE 2018
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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
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(B) Laporte allowed and spin allowed
(C) Laporte forbidden and spin allowed
(D) Laporte allowed and spin forbidden
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Q.9 The major product M in the reaction
M + CH2O
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is
Q.10 The two major products of the reaction
are
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Firstranker's choice
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GATE 2018
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
Q.12 The standard reduction potential (E°) for the conversion of Cr2O72– to Cr3+ at 25 °C in an aqueous solution of pH 3.0 is 1.33 V. The concentrations of Cr2O72– and Cr3+ are 1.0 × 10-4 M and 1.0 × 10-3 M, respectively. Then the potential of this half-cell reaction is
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(Given: Faraday constant = 96500 C mol-¹, Gas constant R = 8.314 J K-¹ mol-¹)
(A) 1.04 V
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(B) 0.94 V
(C) 0.84 V
(D) 0.74 V
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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)
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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 JK-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 (AS) of the surroundings is JK-¹ (up to two decimal places).
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(Given: Gas constant R = 8.314 J K-¹ mol-¹)
END OF THE QUESTION PAPER
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