**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 ^{0}F
to 500^{0}F. For measuring temperature below –40^{0}F,
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 500^{0}F, 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 1000^{0}F.”

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

for
measuring temperature of about 500^{0}F?

(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).