gate questions

Q. When he did not come home, she_________him lying dead on the roadside somewhere. (A) concluded (B) looked (C) notice (D) pictured Ans: pictured Solution: When he did not come home, she pictured him lying dead on the roadside somewhere. “pictured” is the most appropriate option in this situation as she is imagining or creating […]

Q. Five different books (P, Q, R, S, T) are to be arranged on a shelf. The books R and S are to be arranged first and second, respectively from the right side of the shelf. The number of different orders in which P, Q and T may be arranged is . (A) 2 (B)

Q. It would take one machine 4 hours to complete a production order and another machine 2 hours to complete the same order. If both machines work simultaneously at their respective constant rates, the time taken to complete the same order is_______________hours. (A) 2/3 (B) 3/4 (C) 4/3 (D) 7/3 Ans: 4/3 Solution: Machine X=4

Q. The boat arrived_______________dawn. (A) in (B) at (C) on (D) under Ans: at Solution: The correct sentence is: “The boat arrived at dawn.” In this context, “at” is the appropriate preposition to indicate the specific time when the boat arrived.

Q. The strategies that the company_______to sell its products________house-to-house marketing. (A) use, includes (B) uses, include (C) used, includes (D) uses, including Ans: uses, include Solution: “The strategies that the company uses to sell its products include house-to-house marketing.” In this sentence, “the company” is a singular subject, so the correct verb form to use

Q. The normal boiling point of a compound (X) is 350 K (heat of vaporization, ∆vapH, = 30 kJ mol–1). The pressure required to boil ‘X’ at 300 K is ____Torr. (Round off to two decimal places) (Ignore the temperature variation of ∆vapH; Gas constant R = 8.31 J mol–1 K–1 and 1 atm = 760

Q. Consider the following two parallel irreversible first order reactions at temperature T, where 𝑘1and 𝑘2 are the rate constants and their values are 5 × 10–2 and 15 × 10–2 min–1, respectively, at temperature T. If the initial concentration of the reactant ‘P’ is 4 mol L–1, then the concentration of product ‘R’ after

Q. The specific rotation of optically pure (R)-2-bromobutane is –112.00. A given sample of  2-bromobutane exhibited a specific rotation of –82.88. The percentage of (S)-(+)-enantiomer present in this sample is Ans: The specific rotation of optically pure (R)-2-bromobutane is –112.00. A given sample of  2-bromobutane exhibited a specific rotation of –82.88. The percentage of (S)-(+)-enantiomer present in this sample is 13. Solution: Given, Specific rotation of optically pure (R)-2-bromobutane = -112.00.

Q. The number of possible optically active isomer(s) for the following complex is en = ethylenediamine Ans: 2 Solution: Optical Isomers are a set of two compounds with different spatial arrangements and the same no of atoms and molecules.

Q. A complex is composed of one chromium ion, three bromides and six water molecules. Upon addition of excess AgNO3, 1.0 g aqueous solution of the complex gave 0.94 g of AgBr. The molecular formula of the complex is (Atomic weight:  Cr = 52, Br = 80, Ag = 108, O = 16 and H