Tuesday, August 27, 2013

Tuesday, April 27, 2010

C BITS

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JNTU ONLINE EXAMINATIONS [Mid 3 - CDS]
1. The recurrence relation that arises in relation with the complexity of binary search is
a. T(n)=T(n/2)+k, where k is constant
b. T(n)=2T(n/2)+k, where k is constant
c. T(n)=T(n/2)+log(n)
d. T(n)=T(n/2)+n
2. The running time T(n), where `n' is the input size of a recursive algorithm is given as
followsT(n)=c+T(n-1),if n>1
d, if n≤ 1
The order of this algorithm is
a. n2
b. n
c. n3
d. nn
3. The concept of order(Big O) is important because
a. it can be used to decide the best algorithm that solves a given problem
b. It determines the minimum size of a problem that can be solved in a given system, in a
given
amount of time
c. It is the lower bound of the growth rate of the algorithm
d. It is the average bound of the growth rate of the algorithm
4. The concept of order(Big O) is important because
a. it can not be used to decide the best algorithm that solves a given problem
b. It determines the maximum size of a problem that can be solved in a given system, in
a given amount of time
c. It is the lower bound of the growth rate of the algorithm
d. It is the average bound of the growth rate of the algorithm
5. The time complexity of an algorithm T(n), where n is the input size is given
byT(n)=T(n-
1)+/n, if n>1
=1 otherwise
The order of the algorithm is
a. log n
b. n
c. n2
d. nn
6. The running time of an algorithm is given byT(n)=T(n-1)+T(n-2)-T(n-3), if n>3
= n otherwise
The order of this algorithm is
a. n
b. log n
c. nn
d. n2
7. If n=4,then the value of O(log n) is
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a. 1
b. 2
c. 4
d. 8
8. If n=4,then the value of O( n2) is
a. 4
b. 16
c. 64
d. 512
9. The average time complexity of insertion sort is
a. O(n2)
b. O(n)
c. O(1)
d. O(log n)
10. The running time of an algorithm is given byT(n)=T(n-1)+T(n-2)-T(n-3), if n>3
= n otherwise
What should be the relation between T(1),T(2) and T(3) so that its order is constant.
a. T(1)=T(2)=T(3)
b. T(1)+T(3)=2T(2)
c. T(1)-T(3)=T(2)
d. T(1)+T(2)=T(3)
11. The order of the algorithm that finds a given Boolean function of `n' variables ,
produces a
is
a. constant
b. linear
c. non-linear
d. exponential
12. If n=16, then the value of O(n log n) is
a. 16
b. 32
c. 64
d. 128
13. How many memory management functions are there in C
a. 4
b. 3
c. 2
d. 1
14. Which of the following is not a C memory allocation function
a. alloc( )
b. calloc( )
c. free
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d. malloc()
15. If n= 8, then the value of O(1) is
a. 1
b. 2
c. 4
d. 8
16. If n=4, then the value of O(n3) is
a. 4
b. 16
c. 64
d. 512
17. If n=2, then the value of O(n) is
a. 2
b. 3
c. 4
d. 5
18. All memory management functions are found in
a. stdlib.c
b. stdio.h
c. conio.h
d. math.h
19. The function that returns memory to the heap is
a. alloc( )
b. free( )
c. malloc( )
d. realloc( )
20. Which of the following statement about the releasing memory allocation is false?
a. It is an error to dereference a pointer to allocated memory after the memory has been
released
b. It is an error to free memory with a pointer to other than the first element of an allocated
array
c. Memory should be freed as soon as it is no longer needed
d. To ensure that it is released , allocated memory should be freed before the program
21. The syntax of free() function
a. void free(void* free)
b. int free(void* ptr)
c. float free(void* ptr)
d. void free(ptr)
22. Which of the memory function allocates a block of memory
a. malloc ( )
b. calloc( )
c. release( )
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d. free( )
23. Return type of a calloc( ) function is
a. int
b. float
c. char
d. void
24. Return type of a realloc( ) function is
a. int
b. float
c. char
d. void
25. Which of the following memory management function used to release memory
a. malloc( )
b. calloc( )
c. release( )
d. free( )
26. Which of the following is considered auxiliary storage?
a. disk
b. random access memeory(RAM)
c. read only memory(ROM)
d. EEPROM
27. Which of the following is not a standard file stream?
a. stdin
b. stderr
c. stdfile
d. stdout
28. The C library that contains the prototype statements for the file operations is
a. file.h
b. proto.h
c. stdio.h
d. stdlib.h
29. In C, local variable are stored in
a. stack
b. heap
c. permanent storage
d. hard disk
30. The linked list field(s) are
a. data
b. pointer
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c. pointer to next node
d. data and pointer to next node
31. The linked list structure is defined as Rohith
a. struct node
{
int item;
struct node *next;
};
b. node
{ int item;
struct node *next;
};
c. struct node
{ int item;
node *node;
};
d. node
{
Int item;
node next;
};
32. Dynamic memory area is
a. heap
b. stack
c. permanent storage
d. Hard disk
33. The contents of the storage space allocated dynamically, can be accessed through _
_ _ _ _
_ _
a. structure variables
b. pointers
c. unions
d. arrays
34. Each item in the list contains a h linkh to structure containing the _ _ _ _ _ _ _ item
a. previous
b. next
c. present
d. last
35. In C, program instructions are stored in
a. stack
b. heap
c. permanent storage
d. Hard disk
36. In C, Global variables are stored in
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a. permanent storage
b. stack
c. heap
d. Hard disk
37. In C, static variables are stored in
a. heap
b. permanent storage
c. Hard disk
d. Stack
38. A list refers to a set of items organized _ _ _ _ _
a. sequentially
b. exponentially
c. non-sequentially
d. factorially
39. Each structure of a linked list consists _ _ _ _ _ _ _ no. of fields
a. 2
b. 3
c. 4
d. 1
40. Linked lists are not suitable for data structures of which one of the following
problem?
a. insertion sort
b. Binary search
c. radix sort
d. polynomial manipulation problem
41. An item that is read as input can be either pushed to a stack and latter popped and
printed,
or printed directly. Which of the following will be the output if the input is the sequence
of
items-1,2,3,4,5?
a. 3,4,5,1,2
b. 3,4,5,2,1
c. 1,5,2,3,4
d. 5,4,3,1,2
42. No.of pointers to be manipulated in a linked list to delete an item in the middle _ _ _
_ _ _ _
a. Zero
b. One
c. Two
d. Three
43. No.of pointers to be manipulated in a linked list to delete first item
a. Zero
b. One
c. Two
d. Three
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44. Stack is useful for _ _ _ _ _ _ _
a. radix sort
b. breadth first search
c. recursion
d. quick sort
45. The end of the list is marked as
a. node.next=0
b. (node.last = 0)
c. node.next= &node;
d. node.previous=0;
46. No.of pointers to be manipulated in a linked list to insert an item in the middle _ _ _ _
_ _ _
_
a. Two
b. Three
c. One
d. Zero
47. No. of pointers to be manipulated in a linked list to delete last item
a. Zero
b. One
c. Two
d. Three
48. Single linked list uses _ _ _ _ _ _ no. of pointers
a. Zero
b. one
c. Two
d. Three
49. LIFO is
a. stack
b. queue
c. linked list
d. tree
50. A stack is has the entries a,b,c,(with a on top). Stack B is empty. An entry popped
out of
stack A can be printed immediately or pushed to stack B.An entry popped out of stack B
can
only be printed. In this arrangement, which of the following permutations a,b,c is not
possible?
a. b a c
b. b c a
c. c a b
d. a b c
51. Which of the following programming languages features require a stack-base
allocation
a. pointer
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b. Block-structure
c. recursion
d. dynamic scoping
52. Push down stack or push down list is
a. stack
b. queue
c. linked list
d. dequeue
53. Stack is useful for
a. radix sort
b. breadth first search
c. recursion
d. Heap sort
54. Stacks can not be used to
a. evaluate an arithmetic expression in postfix form
b. implement recursion
c. convert a given arithmetic expression in infix form to is equivalent postfix form
d. allocates resources (like CPU) by the operating system
55. Stack is useful for implementing
a. radix sort
b. breadth first search
c. selection sort
d. depth first search
56. Which of the following is useful in implementing quick sort?
a. stack
b. set
c. list
d. queue
57. Which of the following is essential for converting an infix expression to postfix form
efficiently?
a. An operator stack
b. An operand stack
c. An operator stack and an operand stack
d. A parse tree
58. A stack is most suitable to evaluate _ _ _ _ _ expression
a. postfix
b. prefix
c. infix
d. post & infix
59. Linear linked data structure is
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a. tree
b. graph
c. stack
d. binary tree
60. A queue of characters currently contained a,b,c,d. What would be the contents of
queue
after the following operationDELETE, ADD W, ADD X, DELETE, ADD Y
a. A,B,C,W,Y
b. C,D,W,X,Y
c. W,Y,X,C,D
d. A,B,C,D,W
61. Which of the following data structure is suitable for priority queue?
a. Doubly linked list
b. Circular queues
c. Binary search
d. Heaps
62. For storing the sorted data on which often insert and deletion operations are
performed, the
following data structure is better
a. Array
b. queue
c. linked-list
d. doubly linked-list
63. A circular queue of size N will sign queue full when the number of elements in the
queue is
a. N-1
b. N
c. N+1
d. N-2
64. The postfix equivalent of the prefix * + a b - c d is
a. ab + cd - *
b. ab cd + - *
c. ab + cd * -
d. ab + - cd *
65. The postfix expression for the infix expressionA + B* (C+D) / F + D*E is:
a. AB + CD + F / D + E*
b. ABCD + * F / + DE*
c. A*B + CD / F*DE ++
d. A+ BCD / F* DE ++
66. A telephone system which places cells to a particular number on hold can best
represented
by
a. queue
b. stack
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c. linked-list
d. variable
67. The performance of an algorithm is specified by the following notation that
represents the
worst case
a. O-notation
b. Omega notation
c. Theta notation
d. alpha-notation
68. If front=rear ,then the queue is
a. full
b. empty
c. unknown value
d. 1/2 full
69. Reverse polish expression is
a. Infix
b. postfix
c. prefix
d. post & prefix
70. A list of integers is read in, one at a time, and a binary search tree is constructed.
Next the
tree is traversed and the integers are printed. Which traversed would result in a printout
which duplicates the original order of the list of integers?
a. pre-order
b. post-order
c. in-order
d. in-fix order
71. The postfix expression for the infix expression A + B* (C+D) / F + D*E is
a. AB + CD + * F/D + E *
b. ABCD + *F / + DE* +
c. A*B + CD / F*DE ++
d. A + *BCD / F*DE ++
72. The equivalent of (a+b↑c↑d)*(e+f/d) in the post fix notation is
a. ab+c↑d↑e &fd/
b. abcd↑+↑efd/+*
c. abcdefd/+*↑↑+
d. abcd↑↑+efd/+*
73. The infix form of the postfix expression ABC-/D*E+ is
a. A/B-C*D+E
b. A-B/C*D+E
c. (A-B)/C*D+E
d. A/(B-C)*D+E
74. The postfix expression for the infix expression A/B*C+D*E is
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a. AB/C*DE*+
b. ABC/*DE+*
c. ABCD/*E+*
d. ABC*/D*E+
75. The prefix expression for the infix expressionA/B*C+D*E is
a. AB/C*DE*+
b. +*/ABC*DE
c. +*AB/C*DE
d. /+ABCDE
76. Suffix expression is
a. Infix
b. postfix
c. prefix
d. post & prefix
77. polish expression is
a. infix
b. postfix
c. prefix
d. post & prefix
78. To convert an Infix expression into postfix we require
a. stack
b. queue
c. linked list
d. dequeue
79. A stack is most suitable to evaluate _ _ _ _ _ _ _ expression
a. postfix
b. prefix
c. infix
d. post & infix
80. The circular linked list have
a. no beginning
b. no ending
c. beginning but no ending
d. no beginning and no ending
81. To insert a node at the beginning of the doubly linked list _ _ _ _ _ _ _ _ no. of
pointers to
be manipulated
a. 1
b. 2
c. 3
d. 4
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82. Doubly linked list uses _ _ _ _ _ _ _ _ no.of pointers
a. Zero
b. One
c. Two
d. Three
83. To insert a node at the beginning of the single linked list _ _ _ _ _ _ _ no. of pointers
to be
manipulated
a. 1
b. 2
c. 3
d. 0
84. To insert a node at middle of the single linked list _ _ _ _ _ _ _ _ _ _ no. of pointers to
be
manipulated
a. 1
b. 2
c. 3
d. 4
85. To insert a node at the end of the doubly linked list _ _ _ _ _ _ _ no. of pointers to be
manipulated
a. 1
b. 2
c. 3
d. 4
86. To insert a node at the end of the single linked list _ _ _ _ _ _ _ _ no. of pointers to
be
manipulated
a. 1
b. 2
c. 3
d. 4
87. To delete the first node in single linked list _ _ _ _ _ _ _ _ no. of pointers to be
manipulated
a. 1
b. 2
c. 3
d. 4
88. To delete the last node in single linked list _ _ _ _ _ _ _ no. of pointers to be
manipulated
a. 1
b. 2
c. 3
d. 0
89. To delete the middle node in single linked list _ _ _ _ _ _ _ no. of pointers to be
manipulated
a. 1
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b. 2
c. 3
d. 4
90. To delete an item in the middle of a circular doubly linked list, _ _ _ _ _ _ _ _ no.of
points to
be manipulated
a. 2
b. 4
c. 6
d. 8
91. If storage class is missing in the array definition, by default it will be taken to be
a. automatic
b. external
c. static
d. either automatic or external depending on the place of occurrence
92. To delete the last node in doubly linked list _ _ _ _ _ _ _ _ no. of pointers to be
manipulated
a. 1
b. 2
c. 3
d. 4
93. To delete the middle node in doubly linked list _ _ _ _ _ _ _ _ _ no. of pointers to be
manipulated
a. 1
b. 2
c. 3
d. 4
94. To insert an item in a circular doubly linked list, _ _ _ _ _ _ _ no.of points to be
manipulated
a. 1
b. 2
c. 3
d. 4
95. Which of the following features of C is meant to provide reliable access to special
memory
a. static _ const
b. pragma
c. volatile
d. immutable
96. To insert a node at middle of the doubly linked list _ _ _ _ _ _ _ no. of pointers to be
manipulated
a. 1
b. 2
c. 3
d. 4
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97. To delete the first node in doubly linked list _ _ _ _ _ _ _ _ no. of pointers to be
manipulated
a. 1
b. 2
c. 3
d. 4
98. To insert an item in a circular single linked list _ _ _ _ _ _ _ _ _ no.of points to be
manipulated
a. 2
b. 3
c. 4
d. 1
99. To delete an item in a circular doubly linked list, _ _ _ _ _ _ _ _ no.of points to be
manipulated
a. 1
b. 2
c. 3
d. 4
100. A sorting technique is called stable if:
a. it takes O ( n log n) time
b. It maintains the relative order of occurrence of non-distinct elements
c. It uses divide and conquer paradigm
d. The maximum number of nodes in a binary tree of height h is (2
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101. The maximum number of comparisons needed to sort 7 items using radix sort is
(assume each item is a 4 digit decimal number)
a. 280
b. 40
c. 47
d. 38
102. If each node in a tree has a value greater than every value in its left sub tree and
has
value less than every value in its right sub tree, the binary tree is known as
a. Complete binary tree
b. Full binary tree
c. Binary search tree
d. Threaded binary tree
103. A binary tree in which if all its levels except possibly the last, have the maximum
number of nodes and all the nodes at the last level appear as far as possible, is known
as
a. full binary tree
b. 2-tree
c. threaded tree
d. Complete binary tree
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104. You are asked 15 randomly generated numbers. You should prefer
a. bubble sort
b. quick sort
c. merge sort
d. heap sort
105. Which data structure is needed to convert infix notation to post fix notation
a. B-tee
b. Queue
c. Tree
d. Stack
106. The time required to search an element in a binary search tree having n elements is
a. O(1)
b. O(log2 n)
c. O(n)
d. O(n log2 n)
107. A binary tree T has n leaf nodes. The number of nodes of degree 2 in T is
a. log2 n
b. n-1
c. n
d. 2n
108. A tree, for which at every node the height of its left sub tree and right sub tree differ
at most by one is a/an
a. Binary search tree
b. AVL tree
c. Complete binary tree
d. Threaded binary tree
109. Which of the following sorting algorithms does not have a worst case running time
complexity of O(n2)?
a. Insertion sort
b. Merge sort
c. Quick sort
d. Bubble sort
110. Which of the following is not a correct statement
a. internal sorting is used if the number of items to be sorted is very large
b. External sorting is used if the number of items to be sorted is very large
c. External sorting needs auxiliary storage
d. Internal sorting needs auxiliary storage
111. There are 4 different algorithms A1,A2,A3,A4 to solve a given problem with the
order
log(n),log(log(n)),nlog(n),n/log(n) respectively. Which is the best algorithm?
a. A1
b. A2
c. A3
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a. 4
113. Which of the following algorithms exhibits the unusual behavior that, minimum
numbers of comparisons are needed if the list to be sorted is in the reverse order and
maximum numbers of comparisons are needed if they are already in sorted order?
a. Heap tree
b. Radix sort
c. Binary insertion sort
d. Selection sort
114. You want to check whether a given set of items is sorted. Which of the following
sorting methods will be the most efficient if it is already in sorted order?
a. bubble sort
b. selection sort
c. insertion sort
d. merge sort
115. The way a card game player arranges his cards as he picks them up one by one , is
an
example of
a. bubble sort
b. selection sort
c. insertion sort
d. merge sort
116. Which of the following sorting algorithm has the worst time complexity of nlog(n)?
a. Heap sort
b. Quick sort
c. Insertion sort
d. Selection sort
117. Which of the following sorting methods sorts a given set of items that is already in
sorted order or in reverse sorted order with equal speed?
a. Heap sort
b. Quick sort
c. Insertion sort
d. Selection sort
118. Which of the following sorting methods will be the best if number of swapping done,
is the only measure of efficiency?
a. bubble sort
b. insertion sort
c. selection sort
d. heap sort
119. As part of the maintenance work, you are entrusted with the work of rearranging the
library books in a shelf in proper order, at the end of each day. The ideal choice will be
a. bubble sort
b. insertion sort
c. selection sort
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d. heap sort
120. Sorting is not useful for
a. report generation
b. minimizing the storage needed
c. making searching easier and efficient
d. responding to queries easily
121. A machine took 200 sec to sort 200 names, using bubble sort. In 800 sec. it can
approximately sort _ _ _ _ _ _ _ _ _ names
a. 400
b. 800
c. 750
d. 1600
122. A machine needs a minimum of 100 sec. to sort 1000 names by quick sort. The
minimum time needed to sort 100 names will be approximately
a. 50.2 sec
b. 6.7 sec
c. 72.7 sec.
d. 11.2 sec.
123. A sorting method with _ _ _ _ _ _ _ _ is the most efficient method
a. O(log n)
b. O(n)
c. O(1)
d. O(n2)
124. Which of the following statement is false?
a. Optimal binary search construction can be performed efficiently using dynamic
programming
b. Breadth-first search cannot be used to find connected components of a graph
c. Given the prefix and postfix walks of a binary tree, the binary cannot be uniquely
reconstructed
d. Depth-first search can be used to find the connected components of a graph
125. The average successful search time for sequential search on 'n' items is
a. n/2
b. (n-1)/2
c. (n+1)/2
d. log(n)+1
126. A hash function f defined as f(key)=key mod 7, with linear probing, is used to insert
the keys 37,38,72,48,98,1,56, into a table indexed from 0 to 6. What will be the location
of
key 11?
a. 3
b. 4
c. 5
d. 6
127. The order of the binary search algorithm is
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a. n
b. n2
c. nlog(n)
d. log(n)
128. Linked lists are not suitable for implementing
a. insertion sort
b. binary search
c. radix sort
d. polynomial manipulation
129. Stack is useful for
a. radix sort
b. breadth first search
c. heap sort
d. depth first search
130. Which of the following algorithm design technique is used in the quick sort
algorithm?
a. Dynamic programming
b. Backtracking
c. Divide and conquer
d. Greedy method
131. The average successful search time taken by binary search on a sorted order array
of
10 items is
a. 2.6
b. 2.7
c. 2.8
d. 2.9
132. A 3-ary tree in which every internal node has exactly 3 children. The number of leaf
nodes in such a tree with 6 internal nodes will be
a. 10
b. 17
c. 23
d. 13
133. Which of the following traversal techniques lists the nodes of a binary search tree in
ascending order?
a. post-order
b. In-order
c. Pre-order
d. No-order
134. A general linear list is a list in which operations, such as retrievals, insertions,
changes, and deletions can be done _ _ _ _ _ _ _ _ _
a. any where in the list
b. only at the beginning
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c. only at the end
d. only at the middle
135. A(n) _ _ _ _ _ _ _ is a collection of elements and relationship Among them.
a. abstract data type
b. array
c. data structure
d. standard type
136. Data that consists of a single, non decomposable entity are known as _ _ _ _ _ _
a. atomic data
b. array
c. data structure
d. standard type
137. A binary tree has n leaf nodes. The number of nodes of degree 2 in this tree is
a. logn
b. n-1
c. n
d. 2n
138. A full binary tree with n leaf nodes contains
a. n nodes
b. log2 n nodes
c. 2n-1 nodes
d. 2n nodes
139. The number of binary trees with 3 nodes which when traversed in post-order gives
the sequence A,B,C is
a. 3
b. 9
c. 7
d. 5
140. Which of the following need not be a binary tree?
a. Search tree
b. Heap
c. AVL-tree
d. B-tree
141. A binary tree in which every non-leaf node has non-empty left and right subtrees is
called a strictly binary tree.Such a tree with 10 leaves
a. cannot be more than 19 nodes
b. has exactly 19 nodes
c. has exactly 17 nodes
d. can not have more than 17 nodes
142. Find the odd man out
a. binary tree
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b. Avl tree
c. graph
d. queue
143. The depth of a complete binary tree with n nodes(log is to the base two)
a. log(n+1)-1
b. log(n)
c. log(n+1)+1
d. log(n)+1
144. The following is an example of a non-linear data structure
a. stack
b. queue
c. tree
d. linear list
145. If a graph is represented as a linked list, _ _ _ _ _ _ _ _ _ no.of list nodes are
required
a. 1
b. 2
c. 3
d. 4
146. The number of possible binary trees with 4 nodes is
a. 12
b. 14
c. 13
d. 15
147. The number of possible binary trees with 3 nodes is
a. 12
b. 13
c. 5
d. 15
148. The number of possible ordered trees with 3 nodes A,B,C is
a. 16
b. 12
c. 6
d. 10
149. A tree is a _ _ _ _ _ data structure
a. non-recursive
b. recursive
c. linear
d. non-linear
150. A node that does not have any sub-tree is called a _ _ _ _ _ _ _
a. terminal node
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b. root node
c. left node
d. right node
151. The number of edges in a regular graph of degree d and n vertices is
a. maximum of n, d
b. n+d
c. nd
d. nd/2
152. Which of the following algorithms solves the all pair shortest path problem?
a. Diskstra's algorithm
b. Floyd algorithm
c. Prim's algorithm
d. Warshall's algorithm
153. The minimum number of colors required to color a graph having n (n>3) vertices and
2 edges is
a. 4
b. 3
c. 2
d. 1
154. The maximum degree of any vertex in a simple graph with n vertices is
a. n
b. n-1
c. n+1
d. 2n-1
155. A graph G with n nodes is bipartite if it contains
a. n edges
b. a cycle of odd length
c. no cycle of odd length
d. n2 edges
156. A graph can be represented as an _ _ _ _ _ _
a. Linked list
b. Structure
c. Union
d. Queue
157. A graph can be represented as an _ _ _ _ _ _
a. Array
b. Structure
c. Union
d. Queue
158. The minimum number of edges in a connected cyclic on n vertices is
a. n-1
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b. n
c. n+1
d. n+2
159. Which of he following is useful in traversing a given graph by breadth first search?
a. Stack
b. Set
c. List
d. Queue
160. Sparse matrices have
a. many zero entries
b. many non-zero entries
c. higher dimensions
d. lower dimensions
161. The maximum no.of edges in an undirected graph with out loops with n vertices is
a. n
b. n*(n-1)
c. n*(n-1)/2
d. n-1
162. Which of the following abstract data types can be used to represent a many to many
relationship
a. tree
b. graph
c. queue
d. stack
163. In a directed graph without self loops with n verices , the maximum no.of edges is
a. n
b. n*(n-1)
c. n*(n-1)/2
d. n-1
164. An n vertex undirected graph with exactly n*(n-1)/2 edges is said to be
a. Complete graph
b. Un complete graph
c. Directed graph
d. Un directed graph
165. To create a node dynamically in a singly linked list _ _ function in C is used
a. malloc()
b. calloc()
c. alloc()
d. dealloc()
166. In an undirected graph, the sum of degrees of all the nodes
a. must be even
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b. is thrice the number of edges
c. must be odd
d. need not be even
167. In an undirected graph, the sum of degrees of all the nodes
a. is thrice the number of edges
b. is twice the number of edges
c. must be odd
d. need not be even
168. _ _ _ function is used to in C to dynamically allocate space for more than one object
a. malloc()
b. calloc()
c. alloc()
d. dealloc()
169. _ _ _ function is used to in C to dynamically allocate space for one object
a. malloc()
b. calloc()
c. alloc()
d. dealloc()
170. If n=2, then the value of O(n log n) is
a. 2
b. 4
c. 8
d. 16
171. Calloc(m,n); is equivalent to
a. malloc(m*n,0);
b. memset(0,m*n);
c. ptr=malloc(m*n);memset(p,0,m*n)
d. ptr=malloc(m*n);strcpy(p,0)
172. If the sequence of operations push(1),push(2) ,pop, push(1),push(2),pop, pop, pop,
push(2),pop, are performed on a stack, the sequence of popped out values are
a. 2,2,1,1,2
b. 2,2,1,2,2
c. 2,1,2,2,1
d. 2,1,2,2,2
173. return type of a realloc( ) function is
a. int
b. float
c. char
d. void
174. To delete an element from a queue we use the _ _ _ _ _ operation
a. pop
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b. push
c. enqueue
d. dequeue
175. To add an element to a queue we use the _ _ _ _ _ operation
a. pop
b. push
c. enqueue
d. dequeue
176. Which of the memory function allocates a contiguous memory
a. malloc( )
b. calloc( )
c. release( )
d. free( )
177. Return type of a malloc( ) function is
a. int
b. float
c. char
d. void
178. A queue is a _ _ _ _ _ _ structure
a. first in-last out
b. lasting-first-out
c. first in-first out
d. last in-last out
179. A queue is a list in which insertion can be done _ _ _ _
a. any where in the list
b. only at the beginning
c. only at the end
d. only at the middle
180. A _ _ _ _ _ _ is a first in - last out(FIFO) data structure in which insertions are
restricted to one end, called the rear, and deletions are restricted to another end ,called
the
front
a. Stack
b. queue
c. tree
d. binary tree
181. The pointer(s) in a queue points to
a. start of the queue
b. end of the queue
c. middle of the queue
d. both start and end of the queue
182. The disadvantage of the queue is
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a. when the item is deleted, the space for that item is not claimed
b. when the item is deleted, the space for that item is claimed
c. a non destructive
d. increases the memory space
183. A queue is a list in which deletion can be done _ _ _ _
a. any where in the list
b. only at the beginning
c. only at the end
d. only at the middle
184. Read() operation in queue is
a. non-destructive
b. additive
c. push()
d. destructive
185. In which of the data structure, space for the item is not claimed ,when an item is
deleted
a. queue
b. circular queue
c. stack
d. linked list
186. As the items from a queue get deleted, the space for item is not reclaimed in queue.
This problem is solved by
a. circular queue
b. stack
c. linked list
d. doubly linked list
187. Which of the following operation is used to add an item in a queue
a. write()
b. read()
c. pop()
d. push()
188. _ _ _ _ no.of pointers are required to implement read and write operations in a
queue
a. two
b. three
c. four
d. five
189. FIFO is
a. stack
b. queue
c. linked list
d. tree
190. Which of the following operation is used to an item in a queue
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a. write()
b. read()
c. pop()
d. push()
191. The number of swapping needed to sort the numbers 8,22,7,9,31,19,5,13 in an
ascending order, using bubble sort is
a. 11
b. 12
c. 13
d. 14
192. Given two sorted list of size 'm' and 'n' respectively. The number of comparisons
needed by the merge sort algorithm will be
a. m x n
b. maximum of m,n
c. minimum of m,n
d. m+n-1
193. For merging two sorted lists of sizes m and n into a sorted list of size m+n, requires
_
_ _ _ _ _ _ _ no.of comparisons
a. O(m)
b. O(n)
c. O(m+n)
d. O(log(m)+log(n))
194. The principle of locality justifies the use of
a. interrupts
b. DMA
c. polling
d. cache memory
195. The concatenation of two lists is to be performed in O(1) time. Which of the
following
implementations of a list could be used?
a. Singly linked list
b. Doubly linked list
c. Circularly doubly linked list
d. Array implementation of list
196. The initial condition of a queue is
a. front=rear=-1
b. front=rear
c. front=rear=n
d. front=rear=1
197. A sorting technique that guarantees , that records with the same primary key occurs
in the same order in the sorted list as in the original unsorted list is said to be
a. stable
b. consistent
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c. external
d. linear
198. The average number of comparisons performed by the merge sort algorithm , in
merging two sorted lists of length 2 is
a. 8/3
b. 8/5
c. 11/7
d. 1/16
199. Merge sort uses
a. divide and conquer strategy
b. backtracking approach
c. heuristic approach
d. greedy approach
200. Queue can be used to implement
a. radix sort
b. quick sort
c. recursion
d. depth first search

M1 bits

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MATHS1
[Mid 3 - MATHS1]
1. The sequence is _ _ _ _ _ _ _ _ _
1. convergent
2. divergent
3. oscillates finitely
4. oscillates infinitelly
2. The sequence is _ _ _ _ _ _ _ _ _
1. convergent
2. divergent
3. oscillates finitelly
4. oscillates infinitelly
3. If sequence converges to limit L and converges to L 1 then converges to _
_ _ _ _ _ _ _ _
1. C L
2. C L 1
3. C + L
4. C + L 1
4. If sequence converges to limit L and converges to L 1 then converges to
_ _ _ _ _ _ _ _ _
1. L + L 1
2. L - L 1
3. L . L 1
4.
5. Every convergent sequence is _ _ _ _ _ _ _ _ _
1. convergent
2. divergent
3. bounded
4. unbounded
6. The sequence is _ _ _ _ _ _ _ _ _ _ _ _
1. convergent
2. divergent
3. oscillates finitely
4. oscillapes infinitely
7. The sequence is _ _ _ _ _ _ _ _ _
1. convergent
2. divergent
3. oscillates finitely
4. oscillate infinitely
JNTU ONLINE EXAMINATIONS
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8. The sequence is _ _ _ _ _ _ _ _ _
1. convergent
2. divergent
3. oscillates finitely
4. oscillate infinitely
9. The sequence is _ _ _ _ _ _ _ _ _
1. convergent
2. divergent
3. oscillates finitely
4. oscillate infinitely
10. If sequence converges to limit L and converges to L 1 then converges
to _ _ _ _ _ _ _ _ _
1. L - L 1
2. L.L 1
3. L + L 1
4.
11. If then is _ _ _ _ _ _ _ _ _
1. converges
2. divergent
3. oscillates finitelly
4. oscillates infinitelly
12. The series 1 2 + 2 2 + 3 2 + 4 2 + ---------------- + n 2 + --------------- is -----------------
1. converges
2. divergent
3. oscillates finitelly
4. oscillates infinitelly
13. If sum {u} converges to A and sum {v} converges to B, then converges to _
_ _ _ _ _ _ _ _
1. A+B
2. A-B
3. AB
4.
14. If converges to A and C eR then converges to _ _ _ _ _ _ _ _ _
1. C + A
2. C - A
3. CA
4.
15. If converges to A and converges to B and P, q eR then
converges to _ _ _ _ _ _ _ _ _
1. A + B
2. PA + qB
3. PA - qB
4.
16. The series is _ _ _ _ _ _ _ _ _
1. convergens
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2. diverges
3. oscillates finitelly
4. oscillates infinitelly
17. The series is _ _ _ _ _ _ _ _ _
1. convergens
2. diverges
3. oscillates finitelly
4. oscillates infinitelly
18. The series 1+2+3+4+ + n + is _ _ _ _ _
_ _ _ _
1. convergens
2. diverges
3. oscillates finitelly
4. oscillates infinitelly
19. The series is _ _ _ _ _ _ _ _ _
1. convergens
2. diverges
3. oscillates finitelly
4. oscillates infinitelly
20. If is converges then is _ _ _ _ _ _ _ _ _
1. = 0
2.
3. 1
4. 1
21. The geometric series a + ar + ar 2 + (a 0) is converges to the sum _ _
_ _ _ _ _ when
1.
2.
3.
4. a r
22. The series is _ _ _ _ _ _ _ _ _ _
1. convergent
2. divergent
3. oscillate finitety
4. oscillates infinitaley
23. The series diverges if _ _ _ _ _ _ _ _ _ _
1. P 1
2. P
3. P 0
4. P = -1
24. The series is _ _ _ _ _ _ _ _ _ _
1. convergent
2. divergent
3. oscillate finitety
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4. oscillates infinitaley
25. The series is _ _ _ _ _ _ _ _ _ _
1. convergent
2. divergent
3. oscillate finitety
4. oscillates infinitaley
26. The geometric series a + ar + ar 2 + (a 0) is convergent is _ _ _ _ _ _
_
1. -1 r 1
2.
3. r = -1
4. r -1
27. The geometric series a + ar + ar 2 + (a 0) is diverges to 8 if _ _ _ _ _ _
_
1. -1 r 1
2.
3. r = -1
4. r -1
28. The geometric series a + ar + ar 2 + (a 0) is oscillates finitely if _ _ _ _
_ _ _
1. -1 r 1
2.
3. r = -1
4. r -1
29. The geometric series a + ar + ar 2 + (a 0) is oscillates infinitely if _ _ _
_ _ _ _
1. -1 r 1
2.
3. r = -1
4. r -1
30. The series converges if _ _ _ _ _ _ _ _ _ _
1. P 1
2. P 1
3. P = 1
4. P 1
31. If is a series of positive terms and then the series is
convergent if _ _ _ _ _ _ _ _ _ _ _ _
1. K 1
2. K 1
3. K = 1
4. K 1
32. If is a series of positive terms and then the series is
divergent if _ _ _ _ _ _ _ _ _ _ _ _
1. K 1
2. K 1
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3. K = 1
4. K 1
33. If is a series of positive terms and then is _ _ _ _ _ _ _
_ _ _ _ _
1. K 1
2. K 1
3. K = 1
4. K 1
34. If is a positive term series, and , (one) then _ _ _ _ _ _ _ _ _ _ _
1. is convergent
2. is divergent
3. is
4. the series may converge, if may diverge
35. The series is _ _ _ _ _ _ _ _ _ _ _ _
1. convergent
2. divergent
3. oscillates
4. the series may converge, if may divergent
36. Let and be two positive term series. If (finite and non-zero),
then _ _ _ _ _ _ _ _ _
1. is converges
2.
3. is diverges
4. and both converge or diverge
37. The series is _ _ _ _ _ _ _ _
1. converges
2. diverges
3. oscillates
4. the series may converge, it may diverge
38. The series is _ _ _ _ _ _ _ _
1. converges
2. diverges
3. oscillates
4. the series may converge, it may diverge
39. If is a positive term series, and , then is convergent is _ _ _ _
_ _ _ _ _ _ _
1. L 1
2. L 1
3.
4. L = 1
40. If is a positive term series, and , then is divergent if _ _ _ _ _
_ _ _ _ _ _
1. L 1
2. L 1
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3.
4. L = 1
41. The series converges is _ _ _ _ _ _ _ _ _
1.
2.
3.
4.
42. is
1. oscillatory
2. convergent
3. conditionally convergent
4. divergent
43. The series is _ _ _ _ _ _ _ _ _
1. convergent
2. divergent
3. oscillates
4. neither converges nor diverges
44. The sum of the alternating harmonic series
1. zero
2. infinite
3. log 2
4. not defined as the series is not convergent
45. Every absolutely convergent series is _ _ _ _ _ _ _ _ _ _ _
1. oscillatory
2. convergent
3. divergent
4. conditionally convergent
46. If is _ _ _ _ _ _ _ _ _
1. convergent
2. divergent
3. oscillates
4. neither converges nor diverges
47. The series is _ _ _ _ _ _ _ _ _
1. convergent
2. divergent
3. oscillates
4. neither converges nor diverges
48. is
1. conditionally convergent
2. absolutely convergent
3. divergent
4. oscillatory
49. The series
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1. divergent
2. conditionally convergent
3. absolutely convergent
4. convergent
50. The series is
1. convergent
2. divergent
3. oscillatory
4. cannot say
51. The series is
1. convergent
2. divergent
3. oscillatory
4. cannot say
52. is
1. oscillatory
2. absolutely convergent
3. conditionally convergent
4. divergent
53. The series is
1. convergent
2. divergent
3. oscillatory
4. not convergent
54. is
1. convergent
2. divergent
3. oscillatory
4. not convergent
55. is
1. convergent
2. divergent
3. oscillatory
4. not convergent
56. is
1. convergent
2. divergent
3. oscillatory
4. not convergent
57. is
1. oscillatory
2. absolutely convergent
3. conditionally convergent
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4. divergent
58. If Ø = x 2 +yz then grad Ø = _ _ _ _ _ _ _ _ _ _
1. 2i+zj+yk
2. xi+yj+zk
3. 2xi+yj+zk
4. 2xi+zj+yk
59. The directional derivatives of the function f(x,y,z) = 2xy+z 2 at the point (1,-1,3) in the
direction of the vector i+2j+2k is _ _ _ _ _ _ _ _ _ _ _ _
1.
2.
3.
4.
60. If = xi+yj+zk and = a i + a j +a k is a constant verctor, then grad = _ _ _ _ _ _ 1 2 3
_ _
1. 2
2. 2
3.
4.
61. = _ _ _ _ _ _
1. 0
2. 1
3. 2
4. 3
62. If Ø is a constant scales point function, then = _ _ _ _ _ _ _ _ _ _
1. a constant
2. 0
3.
4. 1
63. = _ _ _ _ _ _ _ _ _ _
1. yzi + zxj + xzk
2. yzi + zxj + yzk
3. yzi + zxj + xyk
4. xzi + yxj + zxk
64. If then = _ _ _ _ _ _ _ _ _ _
1.
2.
3. r
4. 2 r
65. (log r) = _ _ _ _ _ _ _ _ _ _
1.
2.
3.
4.
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66. (x+y+z) = _ _ _ _ _ _ _ _ _ _
1. i+j+k
2. 2(i+j+k)
3. xi+yj+zK
4.
67. (r n ) = _ _ _ _ _ _ _ _ _ _
1.
2.
3.
4.
68. Calculate .(3x 2 i + 5xy 2 j + xyz 3 K) at the point (1,2,3)
1. 60
2. 70
3. 80
4. 90
69. If = xyzi + 3x 2 yj + (xz 2 - y 2 z)K then div = _ _ _ _ _ _ _ at the point (2,-1,1)
1. 12
2. 14
3. 16
4. 18
70. If = (a x + 4y 2 z)i + (x 3 sin z - 3y)j - (e x + 4cos x 2 y)K is solenoidal then a = _ _ _ _ _
_ _ _ _
1. 1
2. 2
3. 3
4. 4
71. If = (b x 2 y + yz)i + (xy 2 - xz 2 )j + (2xyz - 2x )K is solenoidal then b = _ _ _ _ _ _ _
_ _
1. 1
2. -1
3. 2
4. -2
72. If = xi+yj+zk, then div = _ _ _ _ _ _ _ _ _ _
1. 0
2.
3. 2
4. 3
73. For a constant vecor div = _ _ _ _ _ _ _ _ _ _
1. 0
2.
3. 2
4. 3
74. A Vector point function is said to be solenoidal if _ _ _ _ _ _ _ _ _ _ _ _
1. curl =
2. div = 0
3.
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4. curl
75. If = grad (x 3 + y 3 + z 3 - 3xyz) then div = _ _ _ _ _ _ _
1. 0
2. 3(x+y+z)
3. 6(x+Y+z)
4. 9(x+Y+z)
76. The vector = (x+3y)i+(y+2z)j+(x-2z)K is _ _ _ _ _ _ _
1. solenoidal
2. irrotational
3. = 4
4. =
77. If is a conservative force field then curl is _ _ _ _ _ _ _ _
1.
2. =
3. =
4. a constant vector
78. If = grad (x 3 + y 3 + z 3 - 3xyz) then curl = _ _ _ _ _ _ _ _ _ _
1.
2. (3x 2 - 3yz)i + (3y 2 - 3xz)j + (3z 2 - 3xy)K
3. 6(x+y+z)i
4. (x 3 + y 3 + z 3 )i
79. If r = 6 then n = _ _ _ _ _ _ _ _ _ _
1. 0
2. 1
3. 2
4. 3
80. (log r) = _ _ _ _ _ _ _ _ _ _
1. -
2.
3.
4.
81. If is a constant vector then ) = _ _ _ _ _ _ _ _ _ _
1.
2. 2
3. 3
4.
82. If = xy 2 i + 2x 2 yj - 3ayzk at (1,1,1) is solenoidal then a = _ _ _ _ _ _ _ _ _ _
1. 0
2. 2
3. 1
4. -1
83. Curl of x 2 i + y 2 j + z 2 k is
1.
2. xi+zk
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3.
4. xi - yj
84. If = F (y,z)i + F (z,x)j + F (x,y)k then is 1 2 3
1. irrotational
2. solenoidal only
3. both irrotational and solenoidal
4. neither irrotational nor solenoidal
85. The vector f(r) is
1. irrotational
2. solenoidal only
3. both irrotational and solenoidal
4. neither irrotational nor solenoidal
86. If = xi + yj + zk the = _ _ _ _ _ _ _ _ _ _
1. 0
2.
3. 2
4.
87. If = (2+y)i + axj + 2zk is irrotational then a = _ _ _ _ _ _ _ _ _ _
1. 1
2. 2
3. 3
4. 4
88. ( + ) = _ _ _ _ _ _ _ _
1. +
2.
3. +
4.
89. If is solenoidal vector, then curl = _ _ _ _ _ _ _ _ _ _
1.
2.
3. -
4.
90. If is a vector function and Ø is a scalar function, then div ( ) = _ _ _ _ _ _ _ _ _ _
1. grad - Ø div
2. grad + Ø div
3. grad - Ø curl
4. grad + Ø curl
91. If is a vector function and Ø is a scalar function, then curl ( ) = _ _ _ _ _ _ _ _ _ _
1. grad - Ø div
2. grad + Ø div
3. grad - Ø div
4. grad + Ø curl
92. Div (grad Ø) _ _ _ _ _ _ _ _ _ _
1. 0
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2.
3. grad Ø
4.
93. Curl (grad Ø) _ _ _ _ _ _ _ _ _ _
1.
2.
3.
4. 2
94. Div (curl ) _ _ _ _ _ _ _ _ _ _
1.
2. 0
3.
4.
95. curl curl = _ _ _ _ _ _ _ _ _ _
1. grad div +
2. grad div
3.
4. -
96. div ( ) = _ _ _ _ _ _ _ _ _ _
1. . curl + . curl
2. . curl + . curl
3. . curl . curl
4. . curl
97. grad (fg) = _ _ _ _ _ _ _ _ _ _
1. f(grad g) - g(grad f)
2. f(grad g) + g(grad f)
3. f g
4. g f
98. By Green's theorem, = _ _ _ _ _ _ _ _ _ _ _ _ where C is
the circle x 2 +y 2 = a 2
1.
2.
3.
4.
99. By Green's theorem, = _ _ _ _ _ _ _ _ _, where C: rectangle
with verfices of (0,0),( p,0),( p,p/2),(0, p/2)
1.
2.
3.
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4.
100. By Green's theorem, = _ _ _ _ _ _ _ _ _ where C is
bounded of y 2 = 8x & x=2
1.
2.
3.
4.
101. If is a conservative field then = Ø where Ø is scalar potential. In this case the
work done by a force in moving a particle along a curve C from point P to point P = 1 2
_ _ _ _ _ _ _ _ _ _ _
1.
2.
3.
4.
102. Area A of a plane region bounded by a simple closed curve C can be calculated using
green's theorem as A = _ _ _ _ _ _ _ _ _ _ in polar coordinats.
1.
2.
3.
4.
103. If = xyi - y 2 j evaluate int {} .d , where c is the curve in the xy-plane y = 2x 2 . from
(0,0) to (1,2)
1.
2. -
3.
4. -
104. The area enclosed by a plane curve is _ _ _ _ _ _ _ _ _ _ _ _ _ _
1.
2.
3.
4.
105. By green's theorem, = _ _ _ _ _ _ _ _ _ _ _ _
1.
2.
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3.
4.
106. By green's theorem, = _ _ _ _ _ _ _ _ _ _ _ where c is bounded
by y=x & y= x 2
1.
2.
3.
4.
107. If then by green's theorem = _ _ _ _ _ _ _ _ _
1. 0
2. 2
3. 4
4. 6
108. If = 2x 2 i-3yzj+xz 2 k, then = _ _ _ _ _ _ _ _ _ _ _ _ _
1. 2x-3z+2xz
2. 4x-3z+2xz
3. 4x-3z
4. 4xyz
109. A unit normal to x 2 +y 2 +x 2 = 5 at (0,1,2) is _ _ _ _ _ _ _ _ _ _ _ _
1. (i+2k)
2. (j+2k)
3. (i+2j)
4. (i+j)
110. If S is a closed surface enclosing a volume V and if = xi+yj+zk, then ds = _ _
_ _ _ _ _ _ _ _
1. V
2. 2V
3. 3V
4. 6V
111. Curl (xyi+yzj +zxk)= _ _ _ _ _ _ _ _ _ _ _
1. yi+zj+xk
2. -(yi+zj+xk)
3. xi+yj+zk
4. -(xi+yi+zk)
112. Curl (yzi+zxj+xyk) = _ _ _ _ _ _ _ _ _ _ _
1. yi+zj+xk
2. -(yi+zj+xk)
3. xi+yj+zk
4.
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113. By divergence theorem, = _ _ _ _ _ _ _ _ _ _ _
1.
2.
3.
4.
114. By stoke's theorem,
1.
2.
3.
4.
115. If S be any closed surface, then = _ _ _ _ _ _ _ _ _ _
1. 2
2. -2
3. 0
4. 1
116. If = 3 then ds = _ _ _ _ _ _ _ _ _ _, where S is the surface of a unit sphere.
1. 2 p
2. 3 p
3. 4 p
4. 6 p
117. If = f i+f j+f k, then = _ _ _ _ _ _ _ _ _ _ _ _ 1 2 3
1.
2.
3.
4.
118. L {coshat } = _ _ _ _ _ _ _ _ _ _ _
1.
2.
3.
4.
119. L { } = _ _ _ _ _ _ _ _ _ _ _
1.
2.
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3.
4.
120. L {2 t } = _ _ _ _ _ _ _ _ _ _
1.
2.
3.
4.
121. L {cosat } = _ _ _ _ _ _ _ _ _ _ _
1.
2.
3.
4.
122. L {sinhat } = _ _ _ _ _ _ _ _ _ _ _
1.
2.
3.
4.
123. L = _ _ _ _ _ _ _ _ _
1.
2.
3.
4.
124. L = _ _ _ _ _ _ _ _ _
1.
2.
3.
4.
125. L { } = _ _ _ _ _ _ _ _ _ _ _ _
1.
2.
3.
4.
126. L { } = _ _ _ _ _ _ _ _ _ _ _ _
1.
2.
3.
4.
127. L {sinat } = _ _ _ _ _ _ _ _ _ _ _ _
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1.
2.
3.
4.
128. If L {f(t) }=F(s), then L { f( ) } = _ _ _ _ _ _ _ _ _ _ _ _
1. aF(as)
2.
3. F
4. F(as)
129. L {e sint } = _ _ _ _ _ _ _ _ _ _ _ _
1.
2.
3.
4.
130. If L {fct }=F(s), then L { sinhat . f(t) }= _ _ _ _ _ _ _ _ _ _ _ _ _
1. F(s-a)+F(s+a)
2. [F(s-a)+F(s+a)]
3. F(s-a)-F(s+a)
4. [F(s-a)-F(s+a)]
131. If L {f(t) }=F(s), then L {f(at) }= _ _ _ _ _ _ _ _ _ _ _ _ _
1. F
2. F
3. F
4. aF
132. n eN, L {t n } = _ _ _ _ _ _ _ _ _ _ _
1.
2.
3.
4.
133. If L {f(t) } = F(s), then L {e f(t) } = _ _ _ _ _ _ _ _ _ _
1. F(s-a)
2. F(s+a)
3. F(as)
4.
134. If L {f(t) } = F(s), then L {e f(t) } = _ _ _ _ _ _ _ _ _ _
1. F(s-a)
2. F(s+a)
3. F(as)
4.
135. L {e cosbt } = _ _ _ _ _ _ _ _ _ _
1.
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2.
3.
4.
136. L {te } = _ _ _ _ _ _ _ _ _ _ _ _ _
1.
2.
3.
4.
137. If L {fct }=F(s), then L { cosh at . f(t) }= _ _ _ _ _ _ _ _ _ _ _ _ _
1. F(s-a)+F(s+a)
2. [F(s-a)+F(s+a)]
3. F(s-a)-F(s+a)
4. [F(s-a)+F(s)]
138. = _ _ _ _ _ _ _
1. (t-3) H (t-3)
2. (t-3) 2 H (t-3)
3.
4.
139. = _ _ _ _ _ _ _ _ _ _
1. sin K t
2. cos K t
3. H (t-a) sin K t
4. H(t-a) sin K (t-a)
140. If , then
1. F(3s)
2.
3.
4.
141. = _ _ _ _ _ _ _ _ _ _ _
1.
2.
3.
4.
142. L { H(t-a) } = _ _ _ _ _ _ _ _ _ _ _ _
1. e
2.
3. se
4.
143. If L {f(t) } = F(s), then L {f(t-a).H(t-a) }= _ _ _ _ _ _ _ _ _ _
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1. F(s-a)
2. F(s+a)
3. e F(s)
4. e F(s)
144. L {e sinbt } = _ _ _ _ _ _ _ _ _ _ _ _
1.
2.
3.
4.
145. L {e t cos2t } = _ _ _ _ _ _ _ _ _ _ _ _
1.
2.
3.
4.
146. L {(t-2) 3 H(t-2) } = _ _ _ _ _ _ _ _ _ _ _ _ _
1.
2.
3.
4.
147. L {1 } = _ _ _ _ _ _ _ _ _ _ _ _
1. 0
2. 1
3.
4.
148. = _ _ _ _ _ _ _ _ _ _
1. sinh 5t
2. sin 5t
3. sin 5t
4. sinh 5t
149. = _ _ _ _ _ _ _ _ _ _
1.
2.
3.
4.
150. = _ _ _ _ _ _ _ _ _
1. e t -1
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2. e t +1
3. e -1
4. -e t +1
151. = _ _ _ _ _ _ _ _ _
1.
2.
3.
4.
152. = _ _ _ _ _ _ _ _ _ _
1. cos 16t
2. cosh 16t
3. cos 4t
4. cosh 4t
153. = _ _ _ _ _ _ _ _ _
1. e
2. e
3. cos 5t
4. sin 5t
154. = _ _ _ _ _ _ _ _ _
1. 1
2. e t
3. t
4. e
155. = _ _ _ _ _ _ _ _ _
1. e
2. e
3. e t
4. e
156. If = F(s), then = _ _ _ _ _ _ _ _ _ _
1.
2.
3. 10 f (10s)
4.
157. If = F(s), then = _ _ _ _ _ _ _ _ _ _
1. 5 F(s)
2. 5 F(5s)
3. F(5s)
4. S F(5s)
158. If , then = _ _ _ _ _ _ _ _ _ _
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1. e
2. e
3. -e
4. -e
159. If , then = _ _ _ _ _ _ _ _ _ _
1. e
2. e
3. -e
4. -e
160. = _ _ _ _ _ _ _
1.
2.
3.
4.
161. = _ _ _ _ _ _ _ _ _ _
1. e sin bt
2. e sin bt
3. e cos bt
4. e cos bt
162. = _ _ _ _ _ _ _ _ _ _
1. e cos bt
2. e sin bt
3. e cosh bt
4. e cos bt
163. If = F(s), then = _ _ _ _ _ _ _
1. (s)
2. - (s)
3. (s)
4. - (s)
164. If = F(s), then = _ _ _ _ _ _ _
1. (s)
2. - (s)
3. (s)
4. - (s)
165. = _ _ _ _ _ _ _
1.
2.
3.
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4.
166. = _ _ _ _ _ _ _
1. e
2. e
3.
4.
167. = _ _ _ _ _ _ _
1. coshat
2. sinat
3. sinhat
4. cosat
168. = _ _ _ _ _ _ _ _ _ _
1.
2.
3.
4.
169. = _ _ _ _ _ _ _ _ _ _
1.
2.
3.
4.
170. = _ _ _ _ _ _ _ _ _ _
1.
2. e
3.
4.
171. If = F(s), then = _ _ _ _ _ _ _ _ _ _
1.
2.
3.
4.
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172. = _ _ _ _ _ _ _ _ _ _
1. e
2. t e
3. t e
4. e
173. If = F(s) then = _ _ _ _ _ _ _ _ _ _
1.
2.
3.
4.
174. = _ _ _ _ _ _ _ _ _ _
1. -cot (s)
2. -Tan (s)
3. cot (s)
4. Tan (s)
175. = _ _ _ _ _ _ _ _ _ _
1.
2.
3.
4.
176. = _ _ _ _ _ _ _ _ _ _
1. e sinbt
2. e sinh bt
3. e sinbt
4. e sinh bt
177. = _ _ _ _ _ _ _ _ _ _
1. e
2. e
3. -2e
4. e
178. = _ _ _ _ _ _ _ _ _ _
1. cos 2t
2. sin 2t
3. sin 2t
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4. 2 cos 2t
179. = _ _ _ _ _ _ _ _ _ _
1. e
2. t e
3. t
4. t e t
180. = _ _ _ _ _ _ _ _ _ _
1.
2. 4
3. 4
4.
181. = _ _ _ _ _ _ _ _ _ _
1. cos at
2. sin at
3. cos hat
4. sin hat
182. = _ _ _ _ _ _ _ _ _ _
1.
2.
3.
4.
183. If f(t) is a periodic function with period T, then = _ _ _ _ _ _ _ _ _ _
1.
2.
3.
4.
184. = _ _ _ _ _ _ _ _ _ _
1. e sin bt
2. e cos bt
3. e sin bt
4. e cos bt
185. = _ _ _ _ _ _ _ _ _ _ , where is convolution
1.
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2. F(s) + G(s)
3. F(s) - G(s)
4. F(s) . G(s)
186. = _ _ _ _ _ _ _ _ _ _ , where F(s) =
1. f(t) g(t)
2. f(t) g(t)
3.
4. f(t) - g(t)
187. = _ _ _ _ _ _ _ _ _ _
1.
2.
3. .
4.
188. , then = _ _ _ _ _ _ _ _ _ _
1.
2.
3.
4.
189. , then = _ _ _ _ _ _ _ _ _ _
1.
2.
3.
4.
190. = _ _ _ _ _ _ _ _ _ _
1.
2.
3.
4.
http://www.prsolutions08.blogspot.com
191. = _ _ _ _ _ _ _ _ _ _
1.
2.
3.
4.
192. If then = _ _ _ _ _ _ _ _ _ _ _
1. tf(t)
2.
3.
4. t f(t)
193. = _ _ _ _ _ _ _ _ _ _
1. S F(s) - f(0)
2. S 2 F(s) - f(0)
3. S F(s) - f (0)
4. S F(s) - f (0)
194. = _ _ _ _ _ _ _ _ _ _
1. S 2 F(s) - f (0)
2. S 2 F(s) - s f(0) - f (0)
3. S 2 F(s) - sf (0)
4. S 2 F(s) - s f (0) - f (0)
195. = _ _ _ _ _ _ _ _ _ _
1. S 2 F(s) - s f(0) - f (0)
2. S 3 F(s) - s 2 f(0) - sf (0)
3. S 3 F(s) - s 2 f(0) - sf (0) - f (0)
4. S 3 F(s) - s 2 f (0) - sf (0) - f(0)
196. If then = _ _ _ _ _ _ _ _ _ _
1.
2.
3.
4. S F (s)
197. If then = _ _ _ _ _ _ _ _ _ _
1. F(s)
2. F(s)
3. S F (s)
4. S F (s)

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MVGR COLLEGE OF ENGINEERING is one of the top most college in ANDHRA PRADESH. It was established in the year 1997 by MANSAS (Maharaj Alak Narayan Society of Arts and Sciences) trust. This college consists of 7 B.Tech courses and 3 Pg courses. This college was Approved by AICTE,New Delhi and perminantly Affiliated by JNTU Kakinada. It is also Accrediated by NBA and Certified by NAAC. This college was situated in the outscirts of Vizianagaram.The present address of the college is MVGR College of Engineering , Vijayram Nagar campus, dhrmapuri road, Chintalavalasa, Vizianagaram. For other Details of college please contact 0892241732.