GATE 2017

Syllabus for General Aptitude (GA)

(COMMON TO ALL PAPERS)

 

Verbal Ability: English grammar, sentence completion, verbal analogies, word groups,

instructions, critical reasoning and verbal deduction.

 

Numerical Ability:  Numerical computation,  numerical estimation, numerical reasoning and data interpretation.

 

Sample Questions

 

Verbal Ability

 

Q.1. Choose the appropriate answer to complete the following sentence:

 

To those of us who had always thought him timid, his --------- came as a surprise.

 

(A) intrepidity             (B) inevitability           (C) inability     (D) inertness

 

Ans. (A)

 

Q.2. Choose the appropriate answer to complete the following sentence:

 

Medicine is to illness as law is to _________

 

(A) discipline               (B) anarchy                 (C) treason                  (D) etiquette

 

Ans. (B)

 

Q.3. Read the following paragraph:

“The ordinary form of mercury thermometer is used for temperature ranging from –40 0F to 5000F. For measuring temperature below –400F, thermometers filled with alcohol are used. These are, however, not satisfactory for use in high temperatures. When a mercury thermometer is used for temperature above 5000F, the space above the mercury is filled with some inert gas, usually nitrogen or carbon dioxide, placed in the thermometer under pressure. As the mercury rises, the gas pressure is increased, so that it is possible to use these thermometers for temperatures as high as 10000F.”

 

With what, besides mercury, would a thermometer be filled if it was designed to be used

for measuring temperature of about 5000F?

 

(A) Pyrometer                         (B) Inert gas                (C) Iron and brass      (D) Gas

 

Ans. (B)

 

Q.4. The cost of manufacturing tractors in Korea is twenty percent less than the cost of manufacturing tractors in Germany. Even after transportation fees and import taxes are added, it is still cheaper to import tractors from Korea to Germany than to produce tractors in Germany.

 

Which of the following assertions is best supported by the above information?

 

(A) Labour costs in Korea are twenty percent below those in Germany.

 

(B) Importing tractors into Germany will eliminate twenty percent of the manufacturing jobs in Germany.

 

(C) The costs of transporting a tractor from Korea to Germany is more than twenty percent of the cost of manufacturing the tractor in Korea.

 

(D) The import taxes on a tractor imported from Korea to Germany is less than twenty percent of the cost of manufacturing the tractor in Germany.

 

Ans. (D)

 

Numerical Ability

Q.5. In a survey, 3/16 of the people surveyed told that they preferred to use public transport while commuting daily to office. 5/8 of the people surveyed told that they preferred to use their own vehicles. The remaining 75 respondents said that they had no clear preference. How many people preferred to use public transport?

 

(A) 75              (B) 100            (C) 125            (D) 133

 

Ans. (A)

 

CH Chemical Engineering

 

Section 1: Engineering Mathematics

 

Linear Algebra:  Matrix algebra, Systems of linear equations, Eigen values and eigenvectors.

 

Calculus: Functions of single variable, Limit, continuity and differentiability, Taylor series, Mean value theorems, Evaluation of definite and improper integrals, Partial derivatives, Total derivative, Maxima and minima, Gradient, Divergence and Curl, Vector identities, Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Green’s theorems.

 

Differential equations: First order equations (linear and nonlinear), Higher order linear differential equations with constant coefficients, Cauchy’s and Euler’s equations, Initial and boundary value problems, Laplace transforms, Solutions of one dimensional heat and wave equations and Laplace equation.

 

Complex variables:  Complex number, polar form of complex number,  triangle inequality.

 

Probability and Statistics: Definitions of probability and sampling theorems, Conditional probability, Mean, median, mode and standard deviation, Random variables, Poisson, Normal and Binomial distributions, Linear regression analysis.

 

Numerical Methods:  Numerical solutions of  linear and non-linear algebraic equations. Integration by trapezoidal and  Simpson’s rule.  Single and  multi-step methods for numerical solution of differential equations.

 

Section 2: Process Calculations and Thermodynamics

Steady and unsteady state mass and energy balances including multiphase, multicomponent, reacting and non-reacting systems. Use  of tie components; recycle, bypass and purge calculations;  Gibb’s phase rule and degree of freedom analysis. First  and Second laws of thermodynamics.  Applications of first law to close and open systems. Second law and  Entropy. Thermodynamic properties of pure substances: Equation of State and residual properties, properties of mixtures: partial molar properties, fugacity, excess properties and activity coefficients; phase equilibria: predicting VLE of systems; chemical reaction equilibrium.

 

Section 3: Fluid Mechanics and Mechanical Operations

Fluid statics, Newtonian and non-Newtonian fluids, shell-balances including differential form of Bernoulli equation and energy balance, Macroscopic friction factors, dimensional analysis and similitude, flow through pipeline systems, flow meters, pumps and compressors, elementary boundary layer theory, flow past immersed bodies including packed and fluidized beds, Turbulent flow: fluctuating velocity, universal velocity profile and pressure drop.  Particle size  and shape, particle size distribution, size reduction and classification of solid particles; free and hindered settling; centrifuge and cyclones; thickening and classification, filtration, agitation and mixing; conveying of solids.

 

Section 4: Heat Transfer

Steady and unsteady heat conduction, convection and radiation, thermal boundary layer and heat transfer coefficients, boiling, condensation and evaporation; types of heat exchangers and evaporators and their process calculations. Design  of double pipe, shell and tube heat exchangers, and single and multiple effect evaporators.

 

Section5: Mass Transfer

Fick’s laws, molecular diffusion in fluids, mass transfer coefficients, film, penetration and surface renewal theories; momentum, heat and mass transfer analogies; stage-wise and continuous contacting and stage efficiencies; HTU & NTU concepts; design and operation of equipment for distillation, absorption, leaching, liquid-liquid extraction, drying, humidification, dehumidification and adsorption.

 

Section 6: Chemical Reaction Engineering

Theories of reaction rates; kinetics of homogeneous reactions, interpretation of kinetic data, single and multiple reactions in ideal reactors, non-ideal reactors; residence time distribution, single parameter model; non-isothermal reactors; kinetics of heterogeneous catalytic reactions; diffusion effects in catalysis.

 

Section 7: Instrumentation and Process Control

Measurement of process variables; sensors, transducers and their dynamics, process modeling and linearization, transfer functions and dynamic responses of various systems, systems with inverse response, process reaction curve, controller modes (P, PI, and PID); control valves; analysis of closed loop systems including stability, frequency response, controller tuning, cascade and feed forward control.

 

Section 8: Plant Design and Economics

Principles of process economics and cost estimation including depreciation and total annualized cost, cost indices, rate of return, payback period, discounted cash flow, optimization in process design and sizing of chemical engineering equipments such as compressors, heat exchangers, multistage contactors.

 

Section 9: Chemical Technology

Inorganic  chemical industries (sulphuric acid, phosphoric acid, chlor-alkali industry), fertilizers (Ammonia, Urea, SSP and TSP); natural products industries (Pulp and Paper, Sugar, Oil, and Fats); petroleum refining and petrochemicals; polymerization industries (polyethylene, polypropylene, PVC and polyester synthetic fibers).