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?
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
- 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.