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Questions with numerical answers and no options. No negative marks for these questions.
Recent questions tagged numerical-answers
4
votes
1
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91
GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 49
We want to use semaphores to implement a shared critical section (CS) among three threads $\mathrm{T} 1$, $\mathrm{T} 2$, and $\mathrm{T} 3$ ... What is the minimum number of binary semaphores we need in order to enforce this ordering?
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7
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1
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92
GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 56
For a string $x=x_1 \cdots x_n \in \Sigma^*$, where $\Sigma$ is any alphabet and $x_1, \ldots, x_n \in \Sigma$, we write $x^{\uparrow m}=x^m$ (that is, the usual power of strings) and $x^{\downarrow m}=x_1^m \cdots x_n^m$. For empty ... $\left\{(a b c)^{\downarrow n} \mid n \geq 0\right\}$
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Theory of Computation
Jan 28
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GO Classes
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8
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93
GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 57
Consider a pushdown automaton (PDA) with two control states $Q=\{q 1, q 2\}$, start state $q 1$, input alphabet $\Sigma=\{a, b\}$, stack alphabet $\Gamma=\{\perp, a\}$ (where $\perp$ is the start symbol ... $21$ accepted by the above pushdown automaton is _________.
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Theory of Computation
Jan 28
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94
GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 59
For the circuit in the figure below, if the current state $\text{Q}_3\text{Q}_2\text{Q}_1\text{Q}_0$ is $6$ (in decimal) i.e. $\text{Q}_3\text{Q}_2\text{Q}_1\text{Q}_0=0110,$ then after the next positive edge of the clock signal the new state will be (in decimal)? (the flip-flops are positive edge triggered)
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Digital Logic
Jan 28
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497
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4
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95
GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 60
You are asked to implement the following four functions with half-adders: ... of half-adders required to implement all four functions simultaneously? (You are not allowed to use any other logic element but half-adder)
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Digital Logic
Jan 28
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3
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96
GO Classes Test Series 2024 | Mock GATE | Test 12 | Question: 5
Suppose we have a four-way set associative physically addressed cache of size $256 \mathrm{KB}$ and $\text{16B}$ blocks, on a machine that uses $32$-bit physical addresses. How many bits will be used for the index?
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CO and Architecture
Jan 21
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487
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1-mark
7
votes
2
answers
97
GO Classes Test Series 2024 | Mock GATE | Test 12 | Question: 6
A college has $10$ (non-overlapping) time slots for its courses, and assigns courses to time slots randomly and independently. A student randomly chooses $3$ of the courses to enroll in. What is the probability that there is a conflict in the student's schedule? (answer upto $2$ decimals)
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Probability
Jan 21
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1-mark
4
votes
1
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98
GO Classes Test Series 2024 | Mock GATE | Test 12 | Question: 9
Consider a system with $4 \mathrm{~GB}$ of physical memory and $64 \mathrm{~GB}$ of Virtual Memory. The page size is $4 \mathrm{~KB}$. Recall that the page table is stored in physical memory and consists of PTEs (page ... each page could store $2048$ PTEs. How many pages does our page table occupy if we have a single-level page table?
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Operating System
Jan 21
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607
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goclasses2024-mockgate-12
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1-mark
6
votes
2
answers
99
GO Classes Test Series 2024 | Mock GATE | Test 12 | Question: 13
What will be the output of following program ? #include <stdio.h> int thefunction(int a) { static int b = 0; b++; a = a + b; return a; } int main() { int b = 0; int i; for (i = 1; i <= 3; i++) { b = b + thefunction(i); } printf("%d\n", b); return 0; }
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Programming in C
Jan 21
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1-mark
4
votes
1
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100
GO Classes Test Series 2024 | Mock GATE | Test 12 | Question: 16
Consider the following context-free grammar, with start symbol $S$ and terminals $a, ; , \lt , \gt .$ $ S \rightarrow \;\lt L \mid a \qquad L \rightarrow a R \mid \;\lt L R \quad R \rightarrow\;\gt\; \mid \;; L $ How many different parse trees are there for the string $\lt \lt a \gt ;a\gt ?$
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Compiler Design
Jan 21
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352
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goclasses2024-mockgate-12
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1-mark
6
votes
2
answers
101
GO Classes Test Series 2024 | Mock GATE | Test 12 | Question: 17
The number of ways that one can divide $10$ distinguishable objects into $3$ indistinguishable non-empty piles, is: $ \left\{\begin{array}{c} 10 \\ 3 \end{array}\right\}=9330 $ In how many different ways can one do this if the piles are also distinguishable?
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Combinatory
Jan 21
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5
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2
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102
GO Classes Test Series 2024 | Mock GATE | Test 12 | Question: 18
The number of ways that one can divide $10$ distinguishable objects in $3$ indistinguishable non-empty piles, is: $ \left\{\begin{array}{c} 10 \\ 3 \end{array}\right\}=9330 $ In how many different ways can one do this if the objects are also indistinguishable?
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Combinatory
Jan 21
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4
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1
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103
GO Classes Test Series 2024 | Mock GATE | Test 12 | Question: 21
How many $\text{4-to-1}$ multiplexers are needed to implement a $\text{64-to-1}$ multiplexer?
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Digital Logic
Jan 21
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374
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5
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2
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104
GO Classes Test Series 2024 | Mock GATE | Test 12 | Question: 29
Consider an array that has $10$ distinct elements. Suppose we use randomized quicksort (with the pivot chosen uniformly at random). What is the probability that the partition method will result in an array such that the size of the ... the left and one on the right of the chosen pivot. The pivot itself is not part of any subarray.
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Algorithms
Jan 21
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627
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quick-sort
2-marks
5
votes
1
answer
105
GO Classes Test Series 2024 | Mock GATE | Test 12 | Question: 30
Consider the following pseudocode for a function that operates on an $\textsf{N}$ element array $\textsf{A[1],A[2]},\dots,\textsf{A[N]}$ of integers. function mystery (A[1...N]) { int i,j,position,tmp; for i=1 to N { position= ... ; } } If $\textsf{N = 100,}$ how many times is the comparison $\textsf{A[j] < A[position]}$ checked?
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Algorithms
Jan 21
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477
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time-complexity
2-marks
2
votes
1
answer
106
GO Classes Test Series 2024 | Mock GATE | Test 12 | Question: 31
How many binary trees with $3$ nodes, $\text{A, B},$ and $\text{C}$ when traversed in post-order will give the sequence $\text{A, B, C}?$ (It is NOT a search tree)
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DS
Jan 21
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415
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goclasses2024-mockgate-12
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numerical-answers
data-structures
binary-tree
tree-traversal
2-marks
4
votes
2
answers
107
GO Classes Test Series 2024 | Mock GATE | Test 12 | Question: 32
The in-order traversal of a binary tree is $\textsf{HFIEJGZ},$ and the post-order traversal of the same tree is $\textsf{HIFJZGE}.$ What will be the total number of nodes in the left sub-tree of the given tree? (It is NOT a search tree)
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DS
Jan 21
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GO Classes
352
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goclasses2024-mockgate-12
goclasses
numerical-answers
data-structures
binary-tree
tree-traversal
2-marks
3
votes
2
answers
108
GO Classes Test Series 2024 | Mock GATE | Test 12 | Question: 38
Consider the following jobs along with their arrival and execution time. ... What is the average turnaround time for these processes with the preemptive shortest remaining processing time first (SRPT) algorithm?
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Operating System
Jan 21
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687
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2-marks
4
votes
1
answer
109
GO Classes Test Series 2024 | Mock GATE | Test 12 | Question: 46
Assume the following graph is a labeled graph i.e. every vertex has a unique label. In how many ways can we color the following labeled graph $\mathrm{G}$ with six colors $\{R, G, B, W, Y, M\}$ such that no two adjacent vertices are assigned the same color?
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Graph Theory
Jan 21
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GO Classes
581
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numerical-answers
graph-theory
graph-coloring
2-marks
7
votes
3
answers
110
GO Classes Test Series 2024 | Mock GATE | Test 12 | Question: 48
Consider a processor with a branch-if-equal instruction that is $32$ bits long$\textsf{: BEQ R12, R11, X.}$ $6$ bits are used to encode the opcode, $6$ bits are used to encode one register number, $6$ bits ... $4$ bytes long. How many instructions away (the number of instructions) from the $\textsf{BEQ}$ instruction could we reach?
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CO and Architecture
Jan 21
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GO Classes
618
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goclasses2024-mockgate-12
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co-and-architecture
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2-marks
7
votes
1
answer
111
GO Classes Test Series 2024 | Mock GATE | Test 12 | Question: 49
Consider the following code fragment: Identify all data dependencies (potential data hazards) in the given code snippet within one loop iteration. Let the number of true data dependencies be $\mathrm{X}$ ... output dependencies be $\text{Z}$. What is $\mathrm{X}+2 \mathrm{Y}+3 \mathrm{Z}?$
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CO and Architecture
Jan 21
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960
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co-and-architecture
data-hazards
data-dependency
2-marks
8
votes
2
answers
112
GO Classes Test Series 2024 | Mock GATE | Test 12 | Question: 55
Consider the following partial schedule for several data items for transactions $T_i$ with timestamp $i:$ How many transactions are Aborted by the timestamp scheduler?
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Databases
Jan 21
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786
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databases
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2-marks
3
votes
1
answer
113
GO Classes Test Series 2024 | Mock GATE | Test 11 | Question: 11
The figure above shows an undirected graph with six vertices. Enough edges are to be deleted from the graph in order to leave a spanning tree, which is a connected subgraph having the same six vertices and no cycles. How many edges must be deleted?
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Graph Theory
Jan 13
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GO Classes
417
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