Computer Science and Information Technology
GATE CSE topic:computing PYQs
Build your understanding with focused practice from past exam papers.
Questions 511–520 of 975. Imported answers require independent review unless marked reviewed.
Question 56
Open questionCSNAT2 marksNeeds review
Consider the relational database with the following four schemas and their respective instances.
Student (sNo, sName, dNo) | Dept (dNo, dName)
Course (cNo, cName, dNo) | Register (sNo, cNo)
Student
sNo | sName | dNo |
|---|---|---|
S01 | James | D01 |
S02 | Rocky | D01 |
S03 | Jackson | D02 |
S04 | Jane | D01 |
S05 | Milli | D02 |
Dept
dNo | dName |
|---|---|
D01 | CSE |
D02 | EE |
Course
cNo | cName | dNo |
|---|---|---|
C11 | DS | D01 |
C12 | OS | D01 |
C21 | DE | D02 |
C22 | PT | D02 |
C23 | CV | D03 |
Register
sNo | cNo |
|---|---|
S01 | C11 |
S01 | C12 |
S02 | C11 |
S03 | C21 |
S03 | C22 |
S03 | C23 |
S04 | C11 |
S04 | C12 |
S05 | C11 |
S05 | C21 |
SQL Query:
SELECT * FROM Student AS S WHERE NOT EXIST
(SELECT cNo FROM Course WHERE dNo = “D01”
EXCEPT
SELECT cNo FROM Register WHERE sNo = S.sNo)
The number of rows returned by the above SQL query is __________.
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Open questionCSNAT2 marksNeeds review
Consider a network with three routers P, Q, R shown in the figure below. All the links have cost of unity.

The routers exchange distance vector routing information and have converged on the routing tables, after which the link Q–R fails. Assume that P and Q send out routing updates at random times, at the same average rate. The probability of a routing loop forming (rounded off to one decimal place) between P and Q, leading to count-to-infinity problem, is __________.
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Open questionCSNAT2 marksNeeds review
Let
be a directed graph, where
is the set of vertices and
is the set of directed edges, as defined by the following adjacency matrix
.
indicates a directed edge from node
to node
. A directed spanning tree of
, rooted at
, is defined as a subgraph
of
such that the undirected version of
is a tree, and
contains a directed path from
to every other vertex in
. The number of such directed spanning trees rooted at vertex 5 is __________.Log in to check the answer
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Open questionCSNAT2 marksNeeds review
Consider a 100 Mbps link between an earth station (sender) and a satellite (receiver) at an altitude of 2100 km. The signal propagates at a speed of
m/s. The time taken (in milliseconds, rounded off to two decimal places) for the receiver to completely receive a packet of 1000 bytes transmitted by the sender is __________.Log in to check the answer
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Open questionCSNAT2 marksNeeds review
Consider the data transfer using TCP over a 1 Gbps link. Assuming that the maximum segment lifetime (MSL) is set to 60 seconds, the minimum number of bits required for the sequence number field of the TCP header, to prevent the sequence number space from wrapping around during the MSL is __________.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 61
Open questionCSNAT2 marksNeeds review
A processor X₁ operating at 2 GHz has a standard 5-stage RISC instruction pipeline having a base CPI (cycles per instruction) of one without any pipeline hazards. For a given program P that has 30% branch instructions, control hazards incur 2 cycles stall for every branch. A new version of the processor X₂ operating at same clock frequency has an additional branch predictor unit (BPU) that completely eliminates stalls for correctly predicted branches. There is neither any savings nor any additional stalls for wrong predictions. There are no structural hazards and data hazards for X₁ and X₂. If the BPU has a prediction accuracy of 80%, the speed up (rounded off to two decimal places) obtained by X₂ over X₁ in executing P is __________.
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Open questionCSNAT2 marksNeeds review
Consider the queues
containing four elements and
containing none (shown as the Initial State in the figure). The only operations allowed on these two queues are Enqueue (Q, element) and Dequeue (Q). The minimum number of Enqueue operations on
required to place the elements of
in
in reverse order (shown as the Final State in the figure) without using any additional storage is __________.

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Open questionCSNAT2 marksNeeds review
Consider two file systems
and
, that use contiguous allocation and linked allocation, respectively. A file of size 100 blocks is already stored in A and also in B. Now, consider inserting a new block in the middle of the file between the 50ᵗʰ and 51ˢᵗ block, whose data is already available in the memory. Assume that there are enough free blocks at the end of the file and that the file control blocks are already in memory. Let the number of disk accesses required to insert a block in the middle of the file in
and
are
and
, respectively, then the value of
is __________.Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 64
Open questionCSNAT2 marksNeeds review
Consider a demand paging system with four page frames (initially empty) and LRU page replacement policy. For the following page reference string
7, 2, 7, 3, 2, 5, 3, 4, 6, 7, 1, 5, 6, 1
the page fault rate, defined as the ratio of number of page faults to the number of memory accesses (rounded off to one decimal place) is __________.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 65
Open questionCSNAT2 marksNeeds review
Consider the following grammar along with translation rules.
Here # and % are operators and
is a token that represents an integer and
represents the corresponding integer value. The set of non-terminals is
and a subscripted non-terminal indicates an instance of the non-terminal.Using this translation scheme, the computed value of
for root of the parse tree for the expression
is __________.Log in to check the answer
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