The model question paper for the entrance examination for the International Institute of Information Technology, Hyderabad is as follows:

General Aptitude
1. The square of the binary number 1001 in hexadecimal is
A) 81 B) 51 C) 121 D) A1
2. Which of the following modes of data transfer is the fastest?
A) DMA B) Interrupt-based C) Polling D) All are equally fast
3. Heap Sort runs at
A) O(log n) B) O(nlog n) C) O(n2) D) O(n2log n)
4. 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
1. 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 hasatleast n vertices of degree 1.
2. 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?
3. 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.
4. 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
1. Write a nonrecursive routine to reverse a singly linked list in O(N) time.
2. Prove that in a self-complementing code the sum of the weights must be 9.
3. 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?
4. 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
1. Realize a RS flip flop using a JK flip flop.
2. What is the auto correlation function of a discrete time white noise?
3. Which of the following modulation schemes are constant energy modulation?
A) 8-PSK B) 16 QAM C) 8-FSK D) 8-PAM
4. Human code is a
1) error correcting code 2) lossless source code
3) lossy source code 4) error detecting code

Structural Engineering
1. 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.
2. 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).
3. 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?
4. 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.