Computer Science and Information Technology
GATE CSE format:mcq PYQs
Build your understanding with focused practice from past exam papers.
Questions 201–210 of 534. Imported answers require independent review unless marked reviewed.
Question 15
Open questionCSMCQ1 markNeeds review
The Lucas sequence
is defined by the recurrence relation:
with
and
.Which one of the options given is TRUE?
Your answerChoose one option.
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Open questionCSMCQ1 markNeeds review
Which one of the options given below refers to the degree (or arity) of a relation in relational database systems?
Your answerChoose one option.
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Open questionCSMCQ1 markNeeds review
Suppose two hosts are connected by a point-to-point link and they are configured to use Stop-and-Wait protocol for reliable data transfer. Identify in which one of the following scenarios, the utilization of the link is the lowest.
Your answerChoose one option.
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Open questionCSMCQ1 markNeeds review
Let
and
Let
and
denote the determinants of the matrices
and
, respectively.Which one of the options given below is TRUE?
Your answerChoose one option.
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Open questionCSMCQ1 markNeeds review
Consider the following definition of a lexical token id for an identifier in a programming language, using extended regular expressions:
letter
[A–Za–z]
digit
[0–9]
id
letter (letter
digit)
Which one of the following Non-deterministic Finite-state Automata with
-transitions accepts the set of valid identifiers? (A double-circle denotes a final state)Your answerChoose one option.
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Open questionCSMCQ1 markNeeds review
An algorithm has to store several keys generated by an adversary in a hash table. The adversary is malicious who tries to maximize the number of collisions. Let
be the number of keys,
be the number of slots in the hash table, and
.Which one of the following is the best hashing strategy to counteract the adversary?
Your answerChoose one option.
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Open questionCSMCQ1 markNeeds review
The output of a 2-input multiplexer is connected back to one of its inputs as shown in the figure.

Match the functional equivalence of this circuit to one of the following options.
Your answerChoose one option.
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Open questionCSMCQ2 marksNeeds review
Consider the following program:
int main() int f1() int f2(int x) int f3()
{ { { {
f1(); return(1); f3(); return(5);
f2(2); } if (x==1) }
f3(); return f1();
return(0); else
} return (x*f2(x-1);
}
Which one of the following options represents the activation tree corresponding to the main function?
Your answerChoose one option.
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Open questionCSMCQ2 marksNeeds review
Consider the control flow graph shown.

Which one of the following choices correctly lists the set of live variables at the exit point of each basic block?
Your answerChoose one option.
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Open questionCSMCQ2 marksNeeds review
Consider the two functions inc and dec shown below.
inc(){ dec(){
wait(s); wait(s);
X = X+1; X = X-1;
signal(s); signal(s);
} }
There are 5 threads each invoking inc once, and 3 threads each invoking dec once, on the same shared variable X. The initial value of X is 10.
Suppose there are two implementations of the semaphore s, as follows:
I-1: s is a binary semaphore initialized to 1.
I-2: s is a counting semaphore initialized to 2.
Let V1, V2 be the values of X at the end of execution of all the threads with implementations I-1, I-2, respectively.
Which one of the following choices corresponds to the minimum possible values of V1, V2, respectively?
Your answerChoose one option.
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