As you are looking for model question paper for PGEE Entrance Exam conducted by IIIT Hyderabad, so here I am providing following paper:

IIIT Hyderabad PGEE Model Question Paper
General Aptitude
The square of the binary number 1001 in hexadecimal is
A) 81 B) 51 C) 121 D) A1

Which of the following modes of data transfer is the fastest?
A) DMA B) Interrupt-based C) Polling D) All are equally fast

Heap Sort runs at
A) O(log n) B) O(nlog n) C) O(n2) D) O(n2log n)

What is the chance that a leap year selected at random will contain 52 Sundays?
A) 1 B) ½ C) 1/7 D) 2/7

Engineering Mathematics
T is a tree and V is a vertex of T of maximum degree in T, say the degree of V in n. Prove that T has atleast n vertices of degree 1.

One bag contains 4 white balls and 3 black balls, and second bag contains 3 white balls and 5 black balls. One ball is drawn from the first bag and placed unseen in the second bag. What is the probability that a ball now drawn from second bag is black?

Let an denote the number of bit strings of length n that do not have two consecutive zeroes. Find a recurrence relation for the number of bit strings of length n that do not have two consecutive zeroes. Hence find a4.

Apply Newton’s method to compute the approximate value of root 2. Start the iteration from x0=1, and obtain two iterations.

Computer Science & Engineering
Write a nonrecursive routine to reverse a singly linked list in O(N) time.

Prove that in a self-complementing code the sum of the weights must be 9.

An inversion is an array of numbers is any pair (i,j) such that i<j and A[i]>A[j]. What is the average number of inversions in an array of n distinct numbers?

Design a counter for the following binary sequence: 0,4,5,3,1,6,2,7 and repeat.Use JK flip-flops

Electronics and Communication Engineering

Realize a RS flip flop using a JK flip flop.

What is the auto correlation function of a discrete time white noise?

Which of the following modulation schemes are constant energy modulation?
A) 8-PSK B) 16 QAM C) 8-FSK D) 8-PAM

Human code is a
1) error correcting code 2) lossless source code
3) lossy source code 4) error detecting code

Structural Engineering
A short CI column of hollow circular section has projecting bracket carrying a load of 10 tonnes. The load line is off the column by 20cm. The external diameter of the column is 350mm and thickness of metal is 25 mm. Find the maximum stress intensity in the section.

A rectangular beam section of 300 mm width and 500 mm effective depth is reinforced with 4 bars of 20 mm diameter, what shear reinforcement is required to resist 200 kN shear (use working stress method).

A bar of steel 24 mm in diameter was subjected to a tensile load of 60 kNs and measured extension on a 20-cm gauge length was 0.009 cm and the change in diameter was 0.00375 cm. Calculate the Bulk modulus?

What is the allowable load carrying capacity of a circular column section of 400 mm diameter reinforced with 6x25 mm diameter bars adequately tied with spirals? Consider concrete of grade M25 and steel of grade Fe 415.

Here I am giving syllabus of PGEE Entrance Exam for your reference:

IIIT Hyderabad PGEE Entrance Exam Syllabus
Paper I : General aptitude paper Objective
Paper II : Objective paper (Paper II)

Paper II
Mathematics Subjective
Computer Science Objective
Electronics and Communications Engineering (Objective and Subjective)
Structural Engineering (Subjective)
Computational Natural Sciences and Bioinformatics Objective
Computational Linguistics

Paper I (General Aptitude)
Objective Duration : 1 1/2 hours
(Compulsory for everyone). This is objective type question paper and will emphasize on basic aptitude, logical reasoning, basic questions on computers and mathematics.

Paper II is subject paper. Based on the graduation, candidate has to appear for relevant subject papers.

Mathematics: Duration : 1 1/2 hours

I. Finite Dimensional Linear Vector Space
Linear Independence, Span, Basis, Orthonormal Set, Gram-Schmidt Orthogo- nalization Process, Inner Product, Dual Space, Eigen Space, Rank of a Matrix, Cayley-Hamiltonian Theorem, Similar Matrices, Linear Operator, Hermetian, Unitary and Normal Matrices, Spectral Decomposition.

II. Group, Ring and Field
Basic Concepts of Groups, Cyclic Group, Cosets, Elementary Concepts of Rings and Fields

III. Real Analysis
Concepts of sets of Real numbers, Sequence of Real Numbers, Continuous and Differentiable Functions, Rolle’s Theorem, Mean Value Theorem and Taylor Se- ries, Reimann Integration

IV. Probability Theory
Conditional Probability, Bayes Theorem, Random variable, PDF and CDF, Mo- ment Generating Function, Theoretical Distribution (Binomial, Poisson, Nor- mal, Uniform and Hyper geometric).

V. Complex Analysis
Analytic functions, Integration, Cauchy’s Integral Theorem, Cauchy’s Integral formula, Taylor and Laurent Series, Residue, Contour Integration.

VI. Ordinary Differential Equation
Equation of First order and First Degree, Second order Linear Equation with Constant coefficients.

VII. Optimization
Linear Programming Problem.

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Attached Files

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