GATE CSE 1996
GATE CSE
Which of the following is false?
View Question The minimum number of interchanges needed to convert the array
89, 19, 40, 17, 12, 10, 2, 5, 7, 11, 6, 9, 70
into a heap
View Question The average number of key comparisons done on a successful sequential search
in list of length n is
View Question Quicksort is run on two inputs shown below to sort in ascending order taking first element as pivot
i) 1, 2, 3,.......,
View Question The recurrence relation
T(1) = 2
T(n) = 3T(n/4) + n
has the solution, T(n) equals to
View Question A binary search tree is generated by inserting in order the following integers:
50, 15, 62, 5, 20, 58, 91, 3, 8, 37, 60,
View Question The pass numbers for each of the following activities
(i) object code generation
(ii) literals added to literal table
View Question A $$ROM$$ is used to store the table for multiplication of two $$8$$ bit unsigned integers. The size of $$ROM$$ required
View Question A computer system has a three level memory hierarchy, with access time and hit ratios as shown below:
(i) What shou
View Question It gives non-uniform priority to various devices.
View Question Both’s algorithm for integer multiplication gives worst performance when the multiplier pattern is
View Question Consider the following floating point number representation
The exponent is in $$2’s$$ complement representation and m
View Question Consider the following statements:
(i) First-in-first out types of computations are efficiently supported by STACKS.
(
View Question Which of the following sequences denotes the post order traversal sequence of the tree of previous question?
View Question In the balanced binary tree in Fig. given below, how many nodes will become unbalanced when a node is inserted as a chil
View Question A binary search tree is generated by inserting in order the following integers:
50, 15, 62, 5, 20, 58, 91, 3, 8, 37, 60
View Question An advantage of chained hash table (external hashing) over the open addressing scheme is
View Question A binary search tree is used to locate the number 43. Which of the following
probe sequences are not possible?
View Question A library relational database system uses the following schema
USERS (User #, User Name, Home Town)
BOOKS (Books # Book
View Question Consider the circuit in Fig. Which has a four bit binary number $${b_3}\,{b_2}\,{b_1}\,{b_0}\,$$ as input and a five bit
View Question Consider the circuit in fig shown $$f$$ implements
View Question Consider the synchronous sequential circuit in fig.
(a) Draw a state diagram which is implemented by the circuit. Use
View Question A logic network has two data inputs $$A$$ and $$B,$$ and two control inputs $${C_0}$$ and $${C_1}$$. It implements the f
View Question What is the equivalent Boolean expression in product-of-sums form for the Karnaugh map given in fig?
View Question Let $$A = \left[ {\matrix{
{{a_{11}}} & {{a_{12}}} \cr
{{a_{21}}} & {{a_{22}}} \cr
} } \right]\,\,$$
View Question Two dice are thrown simultaneously. The probability that at least one of them will have 6 facing up is
View Question The probability that the top and bottom cards of a randomly shuffled deck are both access is
View Question Let R be a non-emply relation on a collection of sets defined by $${A^R}\,B $$ if and only if $$A\, \cap \,B\, = \,\phi
View Question Which one of the following is false?
View Question Let R denote the set of real numbers. Let f: $$R\,x\,R \to \,R\,x\,R\,$$ be a bijective function defined by f (x, y ) =
View Question Let $$X$$ $$X = \left\{ {2,3,6,12,24} \right\}$$. Let $$ \le $$ the partial order defined by $$x \le y$$ if $$x$$ divi
View Question Suppose $$X$$ and $$Y$$ are sets and $$\left| X \right|$$ and $$\left| Y \right|$$ are their respective cardinalities. I
View Question Let $$A$$ and $$B$$ be sets and let $${A^c}$$ and $${B^c}$$ denote the complements of the sets $$A$$ and $$B$$. The set
View Question Which of the following statements is false?
View Question Let AX = B be a system of linear equations where A is an m x n matrix and B is a $$m\,\, \times \,\,1$$ column vector an
View Question The recurrence relation $$\,\,\,\,\,$$ $$T\left( 1 \right) = 2$$
$$T\left( n \right) = 3T\left( {{n \over 4}} \right)
View Question The matrices$$\left[ {\matrix{
{\cos \,\theta } & { - \sin \,\theta } \cr
{\sin \,\,\theta } & {\cos \,\
View Question The formula used to compute an approximation for the second derivative of a function $$f$$ at a point $${x_0}$$ is
View Question Which one of the following is false? Read $$ \wedge $$ as AND, $$ \vee $$ as OR, $$ \sim $$ as NOT, $$ \to $$ as one way
View Question A ROM is sued to store the table for multiplication of two $$8$$-bit unsigned integers. The size of ROM required is
View Question The concurrent programming constructs fork and join are as below:
Fork (label) which creates a new process executing fr
View Question A solution to the Dining Philosophers Problem which avoids deadlock is
View Question A $$1000$$ Kbyte memory is managed using variable partitions but to compaction. It currently has two partitions of sizes
View Question A demand paged virtual memory system uses $$16$$ bit virtual address, page size of $$256$$ bytes, and has $$1$$ Kbyte of
View Question A file system with a one-level directory structure is implemented on a disk with disk block size of $$4$$ K bytes. The d
View Question A computer system uses the Banker’s Algorithm to deal with deadlocks. Its current state is shown in the tables below, wh
View Question The process state transition diagram in Figure is representative of
View Question Which of the following is an example of spooled device?
View Question Four jobs to be executed on a single processor system arrive at time $${0^ + }$$ in the order $$A, B, C, D.$$ their bur
View Question A critical section is a program segment
View Question The correct matching for the following pairs is
List - I
(A) Activation record
(B) Location counter
(C) Reference counts
View Question Which of the following statements is false?
View Question Which two of the following four regular expressions are equivalent?
(i) $${\left( {00} \right)^ * }\left( {\varepsilon
View Question Let $$L \subseteq \sum {^{^ * }\,} $$ where $$\,\sum { = \,\,\left\{ {a,b} \right\}\,\,} $$ which of the following is tr
View Question If $${L_1}$$ and $${L_2}$$ are context free languages and $$R$$ a regular set, one of the languages below is not necessa
View Question Let $$G$$ be a context free grammar where $$G = \left( {\left\{ {S,A,.B,C} \right\},\left\{ {a,b,d} \right\},P,S} \right
View Question