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Recent activity by Abhrajyoti00
3
answers
1
GATE CSE 2024 | Set 2 | Question: 34
Let $x$ and $y$ be random variables, not necessarily independent, that take real values in the interval $[0,1]$. Let $z=x y$ and let the mean values of $x, y, z$ be $\bar{x}, \bar{y}, \bar{z}$ ... $\bar{z} \leq \bar{x} \bar{y}$ $\bar{z} \geq \bar{x} \bar{y}$ $\bar{z} \leq \bar{x}$
Let $x$ and $y$ be random variables, not necessarily independent, that take real values in the interval $[0,1]$. Let $z=x y$ and let the mean values of $x, y, z$ be $\bar...
2.6k
views
commented
Feb 18
Probability
gatecse2024-set2
probability
random-variable
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1
answer
2
GATE CSE 2024 | Set 2 | Question: 18
Which of the following statements about $\text{IPv4}$ fragmentation is/are TRUE? The fragmentation of an $\text{IP}$ datagram is performed only at the source of the datagram The fragmentation of an $\text{IP}$ datagram ... of the datagram The reassembly of fragments is performed at all intermediate routers along the path from the source to the destination
Which of the following statements about $\text{IPv4}$ fragmentation is/are TRUE?The fragmentation of an $\text{IP}$ datagram is performed only at the sourc...
2.7k
views
comment edited
Feb 18
Computer Networks
gatecse2024-set2
computer-networks
multiple-selects
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2
answers
3
GATE CSE 2024 | Set 1 | Question: 33
Consider a binary min-heap containing $105$ distinct elements. Let $k$ be the index (in the underlying array) of the maximum element stored in the heap. The number of possible values of $k$ is $53$ $52$ $27$ $1$
Consider a binary min-heap containing $105$ distinct elements. Let $k$ be the index (in the underlying array) of the maximum element stored in the heap. The number of pos...
2.3k
views
commented
Feb 16
DS
gatecse2024-set1
data-structures
+
–
2
answers
4
GATE CSE 2024 | Set 1 | Question: 53
A bag contains $10$ red balls and $15$ blue balls. Two balls are drawn randomly without replacement. Given that the first ball drawn is red, the probability (rounded off to $3$ decimal places) that both balls drawn are red is ___________.
A bag contains $10$ red balls and $15$ blue balls. Two balls are drawn randomly without replacement. Given that the first ball drawn is red, the probability (rounded off ...
2.1k
views
commented
Feb 16
Probability
gatecse2024-set1
numerical-answers
probability
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–
2
answers
5
Theory of Computation
254
views
answered
Jul 2, 2023
Theory of Computation
ambiguous
grammar
theory-of-computation
self-doubt
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–
8
answers
6
GATE IT 2005 | Question: 3
The determinant of the matrix given below is $\begin{bmatrix} 0 &1 &0 &2 \\ -1& 1& 1& 3\\ 0&0 &0 & 1\\ 1& -2& 0& 1 \end{bmatrix}$ $-1$ $0$ $1$ $2$
The determinant of the matrix given below is$$\begin{bmatrix}0 &1 &0 &2 \\ -1& 1& 1& 3\\ 0&0 &0 & 1\\ 1& -2& 0& 1\end{bmatrix}$$$-1$$0$$1$$2$
23.3k
views
commented
Jul 2, 2023
Linear Algebra
gateit-2005
linear-algebra
normal
determinant
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–
5
answers
7
GATE CSE 2003 | Question: 8, ISRO2009-53
Let $\text{G}$ be an arbitrary graph with $n$ nodes and $k$ components. If a vertex is removed from $\text{G}$, the number of components in the resultant graph must necessarily lie down between $k$ and $n$ $k-1$ and $k+1$ $k-1$ and $n-1$ $k+1$ and $n-k$
Let $\text{G}$ be an arbitrary graph with $n$ nodes and $k$ components. If a vertex is removed from $\text{G}$, the number of components in the resultant graph must neces...
15.4k
views
answer edited
May 14, 2023
Graph Theory
gatecse-2003
graph-theory
graph-connectivity
normal
isro2009
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–
1
answer
8
GO Classes 2023 | IIITH Mock Test 1 | Question: 80
Which of the following options represents the difference between the maximum and minimum possible average weight of all $5$ students in a class given that the average weight of the $4$ lightest students is $40 \mathrm{~kgs}$ and the average weight of the $4$ heaviest ... $2.8 \mathrm{~kgs}$ $3.2 \mathrm{~kgs}$ $3 \mathrm{~kgs}$ $4 \mathrm{~kgs}$
Which of the following options represents the difference between the maximum and minimum possible average weight of all $5$ students in a class given that the average wei...
875
views
answer edited
Apr 30, 2023
Quantitative Aptitude
goclasses2023-iiith-mock-1
goclasses
quantitative-aptitude
average
1-mark
+
–
1
answer
9
GO Classes 2023 | IIITH Mock Test 1 | Question: 35
The figure above implements the Boolean function: $\mathrm{F}(\mathrm{A}, \mathrm{B}, \mathrm{C}, \mathrm{D})=\Sigma(0,2,3,5,6,8,12,13)$ $\mathrm{F}(\mathrm{A}, \mathrm{B}, \mathrm{C}, \mathrm{D})=\Sigma(1,3,4,6,7,8,12,13)$ ... $\mathrm{F}(\mathrm{A}, \mathrm{B}, \mathrm{C}, \mathrm{D})=\Sigma(1,3,4,6,7,8,9,11)$
The figure above implements the Boolean function:$\mathrm{F}(\mathrm{A}, \mathrm{B}, \mathrm{C}, \mathrm{D})=\Sigma(0,2,3,5,6,8,12,13)$$\mathrm{F}(\mathrm{A}, \mathrm{B},...
687
views
answered
Apr 8, 2023
Digital Logic
goclasses2023-iiith-mock-1
goclasses
digital-logic
combinational-circuit
digital-circuits
1-mark
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1
answer
10
GO Classes 2023 | IIITH Mock Test 1 | Question: 43
Recall the Partition subroutine that we used in QuickSort. Suppose that the following array has just been partitioned around some pivot element $: 3,1,2,4,5,8,7,6,9.$ Which of these element(s) could have been the pivot element? $4$ $5$ $2$ $9$
Recall the Partition subroutine that we used in QuickSort. Suppose that the following array has just been partitioned around some pivot element $: 3,1,2,4,5,8,7,6,9.$Whic...
879
views
answered
Apr 8, 2023
Algorithms
goclasses2023-iiith-mock-1
goclasses
algorithms
sorting
quick-sort
easy
multiple-selects
1-mark
+
–
1
answer
11
GO Classes 2023 | IIITH Mock Test 1 | Question: 50
For which of the following functions $f(n)$ and $g(n),$ it holds $:f(n)=O(g(n)).$ Every $\log$ below is base $2.$ $f(n)=2^{k \log n}\;, \quad g(n)=n^k$ $f(n)=2^n\;, \quad g(n)=2^{2 n}$ ... $f(n)=2^{\sqrt{\log n}}\;, \quad g(n)= (\log n)^{100}$
For which of the following functions $f(n)$ and $g(n),$ it holds $:f(n)=O(g(n)).$ Every $\log$ below is base $2.$$f(n)=2^{k \log n}\;, \quad g(n)=n^k$$f(n)=2^n\;, \quad g...
921
views
answered
Apr 8, 2023
Algorithms
goclasses2023-iiith-mock-1
goclasses
algorithms
logarithmic-function
asymptotic-notation
multiple-selects
1-mark
+
–
2
answers
12
GO Classes CS 2025 | Weekly Quiz 3 | Propositional Logic | Question: 10
Let $F$ and $G$ be two propositional formula. Which of the following is/are True? $F \vee G$ is a tautology iff at least one of them is a tautology If $F \rightarrow G$ is a tautology and $F$ ... is a tautology. $(F \rightarrow G) \wedge (F \rightarrow \neg G)$ is a tautology iff $F$ is a contradiction.
Let $F$ and $G$ be two propositional formula.Which of the following is/are True?$F \vee G$ is a tautology iff at least one of them is a tautologyIf $F \rightarrow G$ is a...
689
views
commented
Apr 6, 2023
Mathematical Logic
goclasses2025_cs_wq3
goclasses
mathematical-logic
propositional-logic
multiple-selects
2-marks
+
–
6
answers
13
GO Classes CS 2025 | Weekly Quiz 3 | Propositional Logic | Question: 3
Consider the following atomic propositions: $\text{R}$: It is Raining $\text{S}$ ... , and vice versa It is raining is equivalent to sonu is sick It is raining or sonu is sick but not both
Consider the following atomic propositions:$\text{R}$: It is Raining$\text{S}$: Sonu is SickWhich of the following is/are correct English Translation of the following log...
616
views
answered
Apr 6, 2023
Mathematical Logic
goclasses2025_cs_wq3
goclasses
mathematical-logic
propositional-logic
multiple-selects
1-mark
+
–
1
answer
14
TIFR CSE 2023 | Part A | Question: 3
$A$ is an $n \times n$ matrix with real-valued entries. Further, there exists a vector $x \neq 0$ such that $A x=0$. Now consider a given vector $b$ in $\mathbb{R}^{n}$. How many possible vectors $z$ exist, so that $A z=b?$ $0$ $1$ $n-1$ $n$ Either $0$ or infinite
$A$ is an $n \times n$ matrix with real-valued entries. Further, there exists a vector $x \neq 0$ such that $A x=0$. Now consider a given vector $b$ in $\mathbb{R}^{n}$. ...
449
views
commented
Apr 6, 2023
Linear Algebra
tifr2023
linear-algebra
vector-space
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1
answer
15
Made Easy Test Series
p ->(q->r). Could you please tell me how it is a tautology?
p ->(q->r). Could you please tell me how it is a tautology?
370
views
commented
Apr 6, 2023
Mathematical Logic
made-easy-test-series
+
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1
answer
16
GO Classes 2023 | IIITH Mock Test 1 | Question: 44
Consider a sorted circular doubly-linked list where the head element points to the smallest element in the list. Which of the following(s) is/are true? Asymptotic time complexity of finding the smallest element in the list is $O(1)$ Asymptotic ... complexity of deleting a given element e in the list (not including the cost of finding it) is $O(1)$
Consider a sorted circular doubly-linked list where the head element points to the smallest element in the list. Which of the following(s) is/are true?Asymptotic time com...
886
views
commented
Apr 6, 2023
DS
goclasses2023-iiith-mock-1
goclasses
data-structures
linked-list
multiple-selects
1-mark
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–
14
answers
17
GATE CSE 2021 Set 2 | Question: 24
Suppose that $P$ is a $4 \times 5$ matrix such that every solution of the equation $\text{Px=0}$ is a scalar multiple of $\begin{bmatrix} 2 & 5 & 4 &3 & 1 \end{bmatrix}^T$. The rank of $P$ is __________
Suppose that $P$ is a $4 \times 5$ matrix such that every solution of the equation $\text{Px=0}$ is a scalar multiple of $\begin{bmatrix} 2 & 5 & 4 &3 & 1 \end{bmatrix}^T...
18.6k
views
commented
Apr 6, 2023
Linear Algebra
gatecse-2021-set2
numerical-answers
linear-algebra
matrix
rank-of-matrix
1-mark
+
–
1
answer
18
GO Classes 2023 | IIITH Mock Test 1 | Question: 100
If $\text{‘KCLFTSB’}$ stands for ‘best of luck’ and $\text{‘SHSWDG’}$ stands for 'good wishes', which of the following indicates 'ace the exam'? $\text{MCHTX}$ $\text{MXHTC}$ $\text{XMHCT}$ $\text{XMHTC}$
If $\text{‘KCLFTSB’}$ stands for ‘best of luck’ and $\text{‘SHSWDG’}$ stands for 'good wishes', which of the following indicates 'ace the exam'? $\text{MCHTX}...
546
views
answered
Apr 3, 2023
Analytical Aptitude
goclasses2023-iiith-mock-1
goclasses
analytical-aptitude
logical-reasoning
code-words
1-mark
+
–
0
answers
19
GO Classes 2023 | IIITH Mock Test 1 | Question: 99
Each of $P, Q, R, S, W, X, Y$ and $Z$ has been married at most once. $X$ and $Y$ are married and have two children $P$ and $Q. Z$ is the grandfather of the daughter $S$ of $P$. Further, $Z$ and $W$ are married and are parents of $R$. ... law of $R$ $P$ and $R$ are not married to each other $P$ is a son of $X$ and $Y$ $Q$ cannot be married to $R$
Each of $P, Q, R, S, W, X, Y$ and $Z$ has been married at most once. $X$ and $Y$ are married and have two children $P$ and $Q. Z$ is the grandfather of the daughter $S$ o...
611
views
commented
Apr 3, 2023
Analytical Aptitude
goclasses2023-iiith-mock-1
goclasses
analytical-aptitude
logical-reasoning
family-relationship
1-mark
+
–
0
answers
20
GO Classes 2023 | IIITH Mock Test 1 | Question: 95
A circular sheet of paper is folded along the lines in the directions shown. The paper, after being punched in the final folded state as shown and unfolded in the reverse order of folding, will look like _______.
A circular sheet of paper is folded along the lines in the directions shown. The paper, after being punched in the final folded state as shown and unfolded in the reverse...
448
views
commented
Apr 3, 2023
Spatial Aptitude
goclasses2023-iiith-mock-1
goclasses
spatial-aptitude
paper-folding
1-mark
+
–
1
answer
21
GO Classes 2023 | IIITH Mock Test 1 | Question: 92
Synonym : PHLEGMATIC practical salivary dishonest calmā
Synonym : PHLEGMATICpracticalsalivarydishonest calmā
496
views
answered
Apr 3, 2023
Verbal Aptitude
goclasses2023-iiith-mock-1
goclasses
verbal-aptitude
word-pairs
1-mark
+
–
0
answers
22
GO Classes 2023 | IIITH Mock Test 1 | Question: 90
A train crosses a pole in $12$ seconds and a bridge of length $170$ meters in $36 \mathrm{~sec}$. The speed of the train is ________ $30.75 \mathrm{~km} / \mathrm{h}$ $32.45 \mathrm{~km} / \mathrm{h}$ $25.5 \mathrm{~km} / \mathrm{h}$ $10.8$ $\mathrm{~km} / \mathrm{h}$
A train crosses a pole in $12$ seconds and a bridge of length $170$ meters in $36 \mathrm{~sec}$. The speed of the train is ________$30.75 \mathrm{~km} / \mathrm{h}$$32.4...
448
views
commented
Apr 3, 2023
Quantitative Aptitude
goclasses2023-iiith-mock-1
goclasses
quantitative-aptitude
speed-time-distance
1-mark
+
–
0
answers
23
GO Classes 2023 | IIITH Mock Test 1 | Question: 88
In a company, $35\%$ of the employees drink coffee, $40\%$ of the employees drink tea and $10\%$ of the employees drink both tea and coffee. What $\%$ of employees drink neither tea nor coffee? $15$ $25$ $35$ $40$
In a company, $35\%$ of the employees drink coffee, $40\%$ of the employees drink tea and $10\%$ of the employees drink both tea and coffee. What $\%$ of employees drink ...
331
views
commented
Apr 3, 2023
Quantitative Aptitude
goclasses2023-iiith-mock-1
goclasses
quantitative-aptitude
venn-diagram
1-mark
+
–
1
answer
24
GO Classes 2023 | IIITH Mock Test 1 | Question: 87
... $Q$, as a percentage of its marked price, is _______ $25$ $12.5$ $10$ $5$
$$\begin{array}{|c|c|c|c|} \hline \textbf{Items} & \textbf{Cost} & \textbf{Profit %} & \textbf{Marked Price} \\ & \text{(₹)} & & \text{(₹)} \\\hline P &5,400 & -&5,86...
502
views
commented
Apr 3, 2023
Quantitative Aptitude
goclasses2023-iiith-mock-1
goclasses
quantitative-aptitude
profit-loss
1-mark
+
–
2
answers
25
GO Classes 2023 | IIITH Mock Test 1 | Question: 85
Two liquids $\text{A}$ and $\text{B}$ are in the ratio $4:1$ in container $1$ and in container $2,$ they are in the ratio $1:3.$ In what ratio should the contents of the two containers be mixed so as to obtain a mixture of $\text{A}$ and $\text{B}$ in the ratio $1:1$? $5:6$ $4:3$ $3 :4$ $6:5$
Two liquids $\text{A}$ and $\text{B}$ are in the ratio $4:1$ in container $1$ and in container $2,$ they are in the ratio $1:3.$ In what ratio should the contents of the ...
655
views
commented
Apr 3, 2023
Quantitative Aptitude
goclasses2023-iiith-mock-1
goclasses
quantitative-aptitude
ratio-proportions
1-mark
+
–
1
answer
26
GO Classes 2023 | IIITH Mock Test 1 | Question: 84
If $a : b = 2 : 3$ and $b : c = 5 : 7,$ find the value of $a : b : c ?$ $5 : 7: 13$ $10 : 15: 17$ $10 : 15: 21$ $7 : 15: 13$
If $a : b = 2 : 3$ and $b : c = 5 : 7,$ find the value of $a : b : c ?$$5 : 7: 13$$10 : 15: 17$$10 : 15: 21$$7 : 15: 13$
369
views
commented
Apr 3, 2023
Quantitative Aptitude
goclasses2023-iiith-mock-1
goclasses
quantitative-aptitude
ratio-proportions
1-mark
+
–
1
answer
27
GO Classes 2023 | IIITH Mock Test 1 | Question: 83
Population of state $\text{X}$ increased by $x\%$ and the population of state $\text{Y}$ increased by $y\%$ from $2001$ to $2011.$ Assume that $\text{X}$ is greater than $\text{Y}$. Let $\text{P}$ be the ratio of the population of state $\text{X}$ to ... $2011$ is ________ $\frac{x}{y}$ $x-y$ $\frac{100(x-y)}{100+x}$ $\frac{100(x-y)}{100+y}$
Population of state $\text{X}$ increased by $x\%$ and the population of state $\text{Y}$ increased by $y\%$ from $2001$ to $2011.$ Assume that $\text{X}$ is greater than...
724
views
commented
Apr 3, 2023
Quantitative Aptitude
goclasses2023-iiith-mock-1
goclasses
quantitative-aptitude
percentage
1-mark
+
–
1
answer
28
GO Classes 2023 | IIITH Mock Test 1 | Question: 82
$\text{A}$ is $x \%$ more than $\text{B}$ and is $x \%$ of sum of $\text{A}$ and $\text{B}$. What is the value of $x?$ $50 \%$ $62 \%$ $75 \%$ $37 \%$
$\text{A}$ is $x \%$ more than $\text{B}$ and is $x \%$ of sum of $\text{A}$ and $\text{B}$. What is the value of $x?$ $50 \%$$62 \%$$75 \%$$37 \%$
643
views
answered
Apr 3, 2023
Quantitative Aptitude
goclasses2023-iiith-mock-1
goclasses
quantitative-aptitude
percentage
1-mark
+
–
3
answers
29
GO Classes 2023 | IIITH Mock Test 1 | Question: 81
$6 \mathrm{~kg}$ of $\mathrm{Rs}\; 8 / \mathrm{~kg}$ wheat is mixed with $3 \mathrm{~kg}$ of another type of wheat to get a mixture costing $\mathrm{Rs}\;10 / \mathrm{~kg}$. Find the price of the costlier wheat. Rs $12 / \mathrm{~kg}$ Rs $14 / \mathrm{~kg}$ Rs $16 / \mathrm{~kg}$ Rs $6 / \mathrm{~kg}$
$6 \mathrm{~kg}$ of $\mathrm{Rs}\; 8 / \mathrm{~kg}$ wheat is mixed with $3 \mathrm{~kg}$ of another type of wheat to get a mixture costing $\mathrm{Rs}\;10 / \mathrm{~kg...
575
views
commented
Apr 3, 2023
Quantitative Aptitude
goclasses2023-iiith-mock-1
goclasses
quantitative-aptitude
alligation-mixture
1-mark
+
–
1
answer
30
GO Classes 2023 | IIITH Mock Test 1 | Question: 79
How many degrees apart are the minute hand and the hour hand of a clock at $4: 15?$ $35.5^{\circ}$ $30^{\circ}$ $37.5^{\circ}$ $32.5^{\circ}$
How many degrees apart are the minute hand and the hour hand of a clock at $4: 15?$$35.5^{\circ}$$30^{\circ}$$37.5^{\circ}$$32.5^{\circ}$
535
views
commented
Apr 3, 2023
Analytical Aptitude
goclasses2023-iiith-mock-1
goclasses
analytical-aptitude
clock-time
1-mark
+
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