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Recent activity by Dhananjay
7
answers
1
GATE CSE 2014 Set 1 | Question: 47
A function $f(x)$ is continuous in the interval $[0,2]$. It is known that $f(0) = f(2) = -1$ and $f(1) = 1$. Which one of the following statements must be true? There exists a $y$ in the interval $(0,1)$ such that $f(y) = f(y+1)$ For every $y$ ... the function in the interval $(0,2)$ is $1$ There exists a $y$ in the interval $(0,1)$ such that $f(y)$ = $-f(2-y)$
answered
in
Calculus
Jan 28, 2015
16.1k
views
gatecse-2014-set1
calculus
continuity
normal
8
answers
2
GATE CSE 2007 | Question: 84
Suppose that a robot is placed on the Cartesian plane. At each step it is allowed to move either one unit up or one unit right, i.e., if it is at $(i,j)$ then it can move to either $(i + 1, j)$ or $(i,j + 1)$. How many distinct paths are there for the ... $(10,10)$ starting from the initial position $(0,0)$? $^{20}\mathrm{C}_{10}$ $2^{20}$ $2^{10}$ None of the above
commented
in
Combinatory
Jan 25, 2015
9.6k
views
gatecse-2007
combinatory
4
answers
3
GATE CSE 2000 | Question: 2.4
A polynomial $p(x)$ satisfies the following: $p(1) = p(3) = p(5) = 1$ $p(2) = p(4) = -1$ The minimum degree of such a polynomial is $1$ $2$ $3$ $4$
answered
in
Set Theory & Algebra
Jan 24, 2015
5.6k
views
gatecse-2000
set-theory&algebra
normal
polynomials
8
answers
4
GATE CSE 2014 Set 2 | Question: GA-10
At what time between $6$ a. m. and $7$ a. m. will the minute hand and hour hand of a clock make an angle closest to $60^{\circ}$? $6: 22$ a.m. $6: 27$ a.m. $6: 38$ a.m. $6: 45$ a.m.
answered
in
Quantitative Aptitude
Jan 23, 2015
8.2k
views
gatecse-2014-set2
quantitative-aptitude
normal
clock-time
5
answers
5
GATE CSE 2014 Set 3 | Question: 6
If $\int \limits_0^{2 \pi} |x \: \sin x| dx=k\pi$, then the value of $k$ is equal to ______.
answered
in
Calculus
Jan 22, 2015
8.5k
views
gatecse-2014-set3
calculus
integration
limits
numerical-answers
easy
4
answers
6
GATE CSE 2014 Set 2 | Question: 25
In the diagram shown below, $L1$ is an Ethernet LAN and $L2$ is a Token-Ring LAN. An $IP$ packet originates from sender $S$ and traverses to $R$, as shown. The links within each $\text{ISP}$ and across the two $\text{ISP}$s, are all ... $\text{TTL}$ field is $32$. The maximum possible value of the $\text{TTL}$ field when $R$ receives the datagram is _______.
commented
in
Computer Networks
Jan 20, 2015
14.4k
views
gatecse-2014-set2
computer-networks
numerical-answers
lan-technologies
ethernet
token-ring
normal
6
answers
7
GATE IT 2004 | Question: 5
What is the maximum number of edges in an acyclic undirected graph with $n$ vertices? $n-1$ $n$ $n+1$ $2n-1$
answered
in
Graph Theory
Jan 20, 2015
5.5k
views
gateit-2004
graph-theory
graph-connectivity
normal
4
answers
8
GATE CSE 2014 Set 1 | Question: 6
Let the function ... $\theta \in (\frac{\pi}{6},\frac{\pi}{3})$ such that $f'(\theta)\neq 0$ I only II only Both I and II Neither I nor II
answered
in
Calculus
Jan 19, 2015
10.2k
views
gatecse-2014-set1
calculus
differentiation
normal
12
answers
9
GATE CSE 2014 Set 1 | Question: 42
Consider the following pseudo code. What is the total number of multiplications to be performed? D = 2 for i = 1 to n do for j = i to n do for k = j + 1 to n do D = D * 3 Half of the product of the $3$ consecutive integers. One-third of the product of the $3$ consecutive integers. One-sixth of the product of the $3$ consecutive integers. None of the above.
commented
in
Algorithms
Jan 19, 2015
26.8k
views
gatecse-2014-set1
algorithms
time-complexity
normal
4
answers
10
GATE CSE 2013 | Question: 7
Which one of the following is the tightest upper bound that represents the time complexity of inserting an object into a binary search tree of $n$ nodes? $O(1)$ $O(\log n)$ $O(n)$ $O(n \log n)$
answered
in
DS
Jan 18, 2015
9.3k
views
gatecse-2013
data-structures
easy
binary-search-tree
7
answers
11
GATE CSE 2011 | Question: 34
A deck of $5$ cards (each carrying a distinct number from $1$ to $5$) is shuffled thoroughly. Two cards are then removed one at a time from the deck. What is the probability that the two cards are selected with the number on the first card being one higher than the number ... $\left(\dfrac{4}{25}\right)$ $\left(\dfrac{1}{4}\right)$ $\left(\dfrac{2}{5}\right)$
answered
in
Probability
Jan 18, 2015
14.0k
views
gatecse-2011
probability
normal
4
answers
12
GATE CSE 1998 | Question: 2.2
Consider the following determinant $\Delta = \begin{vmatrix} 1 & a & bc \\ 1 & b & ca \\ 1 & c & ab \end{vmatrix}$ Which of the following is a factor of $\Delta$? $a+b$ $a-b$ $a+b+c$ $abc$
answered
in
Linear Algebra
Jan 18, 2015
5.4k
views
gate1998
linear-algebra
matrix
normal
7
answers
13
GATE IT 2008 | Question: 44
When $n = 2^{2k}$ for some $k \geqslant 0$, the recurrence relation $T(n) = √(2) T(n/2) + √n$, $T(1) = 1$ evaluates to : $√(n) (\log n + 1)$ $√(n) \log n$ $√(n) \log √(n)$ $n \log √n$
answered
in
Algorithms
Jan 7, 2015
13.1k
views
gateit-2008
algorithms
recurrence-relation
normal
4
answers
14
GATE CSE 2006 | Question: 85
The grammar $S\rightarrow AC\mid CB$ $C\rightarrow aCb\mid \epsilon$ $A\rightarrow aA\mid a$ $B\rightarrow Bb\mid b$ generates the language $ L=\left \{ a^{i}b^{j}\mid i\neq j \right \}$. In this grammar what is the length of the derivation (number of steps starting from $S$) to generate ... $l\neq m$ $\max (l,m) + 2$ $l + m + 2$ $l + m + 3$ $\max (l,m) + 3$
answered
in
Compiler Design
Jan 7, 2015
5.4k
views
gatecse-2006
compiler-design
grammar
normal
4
answers
15
GATE CSE 2006 | Question: 84
Which one of the following grammars generates the language $ L=\left \{ a^{i}b^{j}\mid i\neq j \right \}$? $S\rightarrow AC\mid CB$ $C\rightarrow aCb\mid a\mid b$ $A\rightarrow aA\mid \varepsilon$ $B\rightarrow Bb\mid \varepsilon$ ... $S\rightarrow AC\mid CB$ $C\rightarrow aCb\mid \varepsilon$ $A\rightarrow aA\mid a$ $B\rightarrow Bb\mid b$
answered
in
Compiler Design
Jan 7, 2015
10.1k
views
gatecse-2006
compiler-design
grammar
normal
theory-of-computation
4
answers
16
GATE IT 2008 | Question: 45
For the undirected, weighted graph given below, which of the following sequences of edges represents a correct execution of Prim's algorithm to construct a Minimum Spanning Tree? $\text{(a, b), (d, f), (f, c), (g, i), (d, a), (g, h), (c, e), (f, h)}$ ... $\text{(h, g), (g, i), (h, f), (f, c), (f, d), (d, a), (a, b), (c, e)}$
commented
in
Algorithms
Jan 7, 2015
10.4k
views
gateit-2008
algorithms
graph-algorithms
spanning-tree
normal
4
answers
17
GATE IT 2008 | Question: 71
A Binary Search Tree (BST) stores values in the range $37$ to $573$. Consider the following sequence of keys. $81, 537, 102, 439, 285, 376, 305$ $52, 97, 121, 195, 242, 381, 472$ $142, 248, 520, 386, 345, 270, 307$ ... list nodes in the order in which we could have encountered them in the search? II and III only I and III only III and IV only III only
answered
in
DS
Jan 7, 2015
11.3k
views
gateit-2008
data-structures
binary-search-tree
normal
5
answers
18
GATE IT 2008 | Question: 16
A paging scheme uses a Translation Look-aside Buffer (TLB). A TLB-access takes $10$ ns and the main memory access takes $50$ ns. What is the effective access time(in ns) if the TLB hit ratio is $\text{90%}$ and there is no page-fault? $54$ $60$ $65$ $75$
answered
in
Operating System
Dec 11, 2014
11.4k
views
gateit-2008
operating-system
virtual-memory
normal
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