GATE CSE 1996
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GATE CSE

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