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1

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 $n-k$

answer edited in Graph Theory May 14

12.6k views

2 answers

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GO Classes 2023 | IIITH Mock Test 2 | Question: 9
Traders $\text{A}$ and $\text{B}$ buy two goods for Rs. $1000$ and Rs. $2000$ respectively. Trader $\text{A}$ marks his goods up by $x \%$, while trader $\mathrm{B}$ marks his goods up by $2 x \%$ and offers a discount of $x \%$. If both make the same non-zero profit, find $x$. $25 \%$ $12.5 \%$ $37.5 \%$ $40 \%$

answered in Quantitative Aptitude May 1

273 views

1 answer

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GO Classes 2023 | IIITH Mock Test 2 | Question: 22
Two positions of a cube are shown below. What will come opposite to face containing $\delta?$ $\beta$ or $\theta$ $\beta$ $\delta$ $\theta$

answered in Spatial Aptitude May 1

209 views

2 answers

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GO Classes 2023 | IIITH Mock Test 2 | Question: 24
Ajay walks $24$ km towards the East and turns to the right-hand side and takes a drive of another $10$ km. He then turns to his right (drives towards West) another $10$ km. He then turns to his left and walks another $8$ km. After that, ... is he from his initial point and in which direction? $20$ km East $18$ km South $16$ km West $10$ km South

commented in Analytical Aptitude May 1

214 views

1 answer

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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 ... $2.8 \mathrm{~kgs}$ $3.2 \mathrm{~kgs}$ $3 \mathrm{~kgs}$ $4 \mathrm{~kgs}$

answer edited in Quantitative Aptitude Apr 30

273 views

1 answer

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GO Classes 2023 | IIITH Mock Test 2 | Question: 6
At what time between $5.30$ and $6$ will the hands of a clock be at right angles? $40$ min. past $5$ $42$ min. past $5$ $43 \ 4 / 11$ min. past $5$ $43 \ 7 / 11$ min. past $5$

answer edited in Analytical Aptitude Apr 9

194 views

1 answer

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GO Classes 2023 | IIITH Mock Test 1 | Question: 35
The figure above implements the Boolean function: $\mathrm{F}(\mathrm{A}, \mathrm{B}, \mathrm{C}, \mathrm{D})=\Sigma(0,2,3,5,6,8,12,13)$ $\mathrm{F}(\mathrm{A}, \mathrm{B}, \mathrm{C}, \mathrm{D})=\Sigma(1,3,4,6,7,8,12,13)$ ... $\mathrm{F}(\mathrm{A}, \mathrm{B}, \mathrm{C}, \mathrm{D})=\Sigma(1,3,4,6,7,8,9,11)$

answered in Digital Logic Apr 8

221 views

1 answer

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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? $4$ $5$ $2$ $9$

answered in Algorithms Apr 8

162 views

1 answer

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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 $2.$ $f(n)=2^{k \log n}\;, \quad g(n)=n^k$ $f(n)=2^n\;, \quad g(n)=2^{2 n}$ ... $f(n)=2^{\sqrt{\log n}}\;, \quad g(n)= (\log n)^{100}$

answered in Algorithms Apr 8

239 views

1 answer

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GO Classes 2024 | Weekly Quiz 7 | Propositional Logic | Question: 11
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, then $G$ ... $(F \rightarrow G) \wedge (F \rightarrow \neg G)$ is a tautology iff $F$ is a contradiction.

commented in Mathematical Logic Apr 6

154 views

4 answers

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GO Classes 2024 | Weekly Quiz 7 | 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

answered in Mathematical Logic Apr 6

138 views

1 answer

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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

commented in Linear Algebra Apr 6

92 views

1 answer

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Made Easy Test Series
p ->(q->r). Could you please tell me how it is a tautology?

commented in Mathematical Logic Apr 6

107 views

0 answers

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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 $O(1)$

commented in DS Apr 6

212 views

10 answers

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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 __________

commented in Linear Algebra Apr 6

10.8k views

1 answer

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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'? $\text{MCHTX}$ $\text{MXHTC}$ $\text{XMHCT}$ $\text{XMHTC}$

answered in Analytical Aptitude Apr 3

171 views

0 answers

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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 $R$

commented in Analytical Aptitude Apr 3

208 views

0 answers

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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 _______.

commented in Spatial Aptitude Apr 3

85 views

1 answer

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GO Classes 2023 | IIITH Mock Test 1 | Question: 92
Synonym : PHLEGMATIC practical salivary dishonest calmā

answered in Verbal Aptitude Apr 3

152 views

0 answers

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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 ________ $30.75 \mathrm{~km} / \mathrm{h}$ $32.45 \mathrm{~km} / \mathrm{h}$ $25.5 \mathrm{~km} / \mathrm{h}$ $10.8$ $\mathrm{~km} / \mathrm{h}$

commented in Quantitative Aptitude Apr 3

137 views

0 answers

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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? $15$ $25$ $35$ $40$

commented in Quantitative Aptitude Apr 3

80 views

1 answer

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GO Classes 2023 | IIITH Mock Test 1 | Question: 87
... $Q$, as a percentage of its marked price, is _______ $25$ $12.5$ $10$ $5$

commented in Quantitative Aptitude Apr 3

134 views

2 answers

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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 $1:1$? $5:6$ $4:3$ $3 :4$ $6:5$

commented in Quantitative Aptitude Apr 3

224 views

1 answer

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GO Classes 2023 | IIITH Mock Test 1 | Question: 84
If $a : b = 2 : 3$ and $b : c = 5 : 7,$ find the value of $a : b : c ?$ $5 : 7: 13$ $10 : 15: 17$ $10 : 15: 21$ $7 : 15: 13$

commented in Quantitative Aptitude Apr 3

115 views

1 answer

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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 ________ $\frac{x}{y}$ $x-y$ $\frac{100(x-y)}{100+x}$ $\frac{100(x-y)}{100+y}$

commented in Quantitative Aptitude Apr 3

211 views

1 answer

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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 $x?$ $50 \%$ $62 \%$ $75 \%$ $37 \%$

answered in Quantitative Aptitude Apr 3

253 views

2 answers

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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 $6 / \mathrm{~kg}$

commented in Quantitative Aptitude Apr 3

166 views

1 answer

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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 $4: 15?$ $35.5^{\circ}$ $30^{\circ}$ $37.5^{\circ}$ $32.5^{\circ}$

commented in Analytical Aptitude Apr 3

148 views

8 answers

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GATE2011 AG: GA-4
There are two candidates $P$ and $Q$ in an election. During the campaign, $40\%$ of the voters promised to vote for $P,$ and rest for $Q.$ However, on the day of election $15\%$ of the voters went back on their promise to vote for $P$ ... instead voted for $P.$ Suppose$,P$ lost by $2$ votes$,$ then what was the total number of voters? $100$ $110$ $90$ $95$

answer edited in Quantitative Aptitude Mar 14

7.7k views

10 answers

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GATE CSE 2015 Set 3 | Question: 28
Consider a network connecting two systems located $8000$ $\text{Km}$ apart. The bandwidth of the network is $500 \times 10^6$ $\text{bits}$ per second. The propagation speed of the media is $4 \times 10^6$ $\text{meters}$ per ... . Assume that processing delays at nodes are negligible. Then, the minimum size in bits of the sequence number field has to be ______.

commented in Computer Networks Feb 26

11.6k views