Answers by joshi_nitish - GATE Overflow

0 votes

1

ISI2014-DCG-13
Let the function $f(x)$ be defined as $f(x)=\mid x-1 \mid + \mid x-2 \:\mid$. Then which of the following statements is true? $f(x)$ is differentiable at $x=1$ $f(x)$ is differentiable at $x=2$ $f(x)$ is differentiable at $x=1$ but not at $x=2$ none of the above

answered Oct 14, 2019 in Calculus | 60 views

+9 votes

2

Mathematics GATE 2018 EE: 11
Let $f$ be a real-valued function of a real variable defined as $f(x) = x^{2}$ for $x\geq0$ and $f(x) = -x^{2}$ for $x < 0$.Which one of the following statements is true? $f(x) \text{is discontinuous at x = 0}$ ... $f(x) \text{is differentiable but its first derivative is not differentiable at x = 0} $

answered Feb 21, 2018 in Calculus | 454 views

+3 votes

3

GATE2018 EE: GA-5
Functions $F(a, b)$ and $G(a, b)$ are defined as follows: $F(a, b) = (a − b)^2$ and $G(a, b) = \mid a − b\mid$, where $\mid x \mid$ represents the absolute value of $x$. What would be the value of $G(F(1, 3), G(1, 3))$? $2$ $4$ $6$ $36$

answered Feb 21, 2018 in Numerical Ability | 275 views

+32 votes

4

GATE2018-25
Consider a long-lived $TCP$ session with an end-to-end bandwidth of $1$ $\text{Gbps}$ (-$10^9$ bits-per-second). The session starts with a sequence number of $1234$. The minimum time (in seconds, rounded to the closet integer) before this sequence number can be used again is ____

answered Feb 14, 2018 in Computer Networks | 7.6k views

+4 votes

5

ME 2014- Z score probability Normal-Distribution
A nationalized bank has found that the daily balance available in its saving bank accounts follows a normal distribution with a mean of Rs. 500 and a standard deviation of Rs. 50. The percentage of savings account holders who maintain ... Rs. 500 is _______________. Explain the calculation of the probability of Z score. Do GATE provide Z score table?

answered Jan 23, 2018 in Probability | 310 views

+1 vote

6

Slop of Curve
please share your solution The maximum slope of the curve -x3+6x2+66x+666

answered Jan 16, 2018 in Mathematical Logic | 80 views

+6 votes

7

Probability NPTEL assignment
Find Value of alpha?

answered Dec 20, 2017 in Mathematical Logic | 127 views

+5 votes

8

ISRO-DEC2017-8
The number of elements in the power set of $\{\{1,2\},\{2,1,1\},\{2,1,1,2\}\}$ is $3$ $8$ $4$ $2$

answered Dec 20, 2017 in Set Theory & Algebra | 2.2k views

+2 votes

9

Undecidability
L = { <M> | M is a TM and |L(M)| <= 3 }. Is it Recursively Enumerable or not ?

answered Nov 11, 2017 in Theory of Computation | 144 views

+3 votes

10

answered Nov 3, 2017 in Calculus | 142 views

+4 votes

11

Minimum number of states
$R= 10 +(0 +11)0^{*}1.$ The minimum number of states in any DFA accepting this regular expression.

answered Sep 15, 2017 in Theory of Computation | 239 views

+2 votes

12

self doubt
Which of the following is true: (a) differentiable and continous (d) none of these (c) not differentiable but continous (b) neither differentiable nor continous

answered Sep 9, 2017 in Calculus | 108 views

+3 votes

13

Time Complexity of Iterative Program
The innermost loop will execute when j is multiple of i, and that will happen exactly i times. Please help me to find the time complexity of the below program:

answered Aug 29, 2017 in Algorithms | 606 views

0 votes

14

decidability
S = { < M> | M is a DFA that accepts some string containing an equal number of 0s and 1s}. Then what will be S - a) Recursive enumerable b) undecidable c) decidable d) Turing co-recognizable

answered Aug 21, 2017 in Theory of Computation | 144 views

+4 votes

15

Theory Of Computation
Construct a minimal dfa over {0,1} which neither accept 00 as a substring nor 11 as a substring.

answered Aug 20, 2017 in Theory of Computation | 309 views

+1 vote

16

synchronous data transfer
A synchronous transmission T has transfer rate of 100 char/ sec. If T uses some synchronous characters followed by some 8 bit info characters, what is the total number of synchronous bits required where bit rate is 1000 bits/ sec?

answered Aug 7, 2017 in CO and Architecture | 311 views

+2 votes

17

TOC Minimal DFA design
Let language defined is { Number of a's =2 and length of string is atleast 3} over alphabet {a,b}.What are number of states in minimal DFA?

answered Aug 6, 2017 in Theory of Computation | 250 views

+8 votes

18

Self Doubt
Whether the following statement is true or false?? "The OS maintains scheduling and accounting information for each thread"

answered Aug 4, 2017 in Operating System | 196 views

+2 votes

19

Class of language

answered Aug 2, 2017 in Theory of Computation | 69 views

+1 vote

20

CO and architecture
Consider a hypothetical processor which supports the 64Kb physical memory. Processor uses the memory mapped IO configuration in which the 3 MSB bits of the address is 1, then assign them to IO ports. How many IO address and how many memory address are possible in the processor.

answered Jul 26, 2017 in CO and Architecture | 110 views

+2 votes

21

doubt
#include<stdio.h> int main() { char c = 125; c = c+10; printf("%d", c); return 0; } in this we know -121 is printed also know the logic but what will be in int main() { char c = 125; c = c+10; printf("%u", c); return 0; } plz explain with logic

answered Jul 26, 2017 in Programming | 88 views

0 votes

22

Calculate Eigen Vector And Eigen Value
This matrix is singular with rank one. Find three $λ$’s and three eigenvectors. $\begin{bmatrix}1\\2 \\1 \end{bmatrix}$ $\begin{bmatrix}2&1 &2 \end{bmatrix}$ = $\begin{bmatrix}2 & 1 &2\\4 & 2 & 4\\2 & 1 &2\end{bmatrix}$

answered Jul 24, 2017 in Linear Algebra | 407 views

0 votes

23

Sets,Relation and Function
If f : R ---->R defined by f(x) = x2 + 1, then values of f -1 (17) and f -1(-3) are A. {Ø}, (4, - 4) B. {3,-3},{Ø} C. {Ø},{3,-3} D. {4,-4},Ø Answer is "D". But i dint understand how

answered Jul 24, 2017 in CBSE/UGC NET | 564 views

+1 vote

24

self doubt
identify the class of language {a^(m)b^(n)} for following a) m + n = 10 b) m + n <=10 c)m+n>10 d) m+n<10 e) m + n>=10 f) m/n = 10 g) m - n = 10

answered Jul 22, 2017 in Theory of Computation | 43 views

+6 votes

25

Explain the given C program.
<code>#include <stdio.h> int main() { unsigned int b = 20; b = ~b; printf("%d\n", b); }</code>

answered Jul 14, 2017 in Programming | 189 views

0 votes

26

Lattice
Is there any example of lattice which is not bounded ??

answered Jul 13, 2017 in Set Theory & Algebra | 124 views

+3 votes

27

Daa........
What is the ans and give reason

answered Jul 12, 2017 in Algorithms | 131 views

+2 votes

28

Parsing
Someone please explain. Answer given is 2.

answered Jul 9, 2017 in Compiler Design | 55 views

0 votes

29

Regular Languages and Finite Automata
A language L = {w|w contain 'a' in every odd position, w belongs to {a, b}*} Doubt: Here, null string will be accepted or not. Please explain? This is really confusing in these types of questions whether to include null string or not. Please suggest some way to sort this out.

answered Jul 8, 2017 in Theory of Computation | 188 views

0 votes

30

answered Jul 8, 2017 in Theory of Computation | 209 views

0 votes

31

Please explain the output of the following program.
#include<stdio.h> int main(void) { int a = 1, 2, 3; printf("%d", a); return 0; }

answered Jul 8, 2017 in Programming | 215 views

0 votes

32

Kenneth Rosen Edition 7th Exercise 10.8 Question 23 (Page No. 734)
Find the edge chromatic numbers of a) Cn, where n ≥ 3. (Cycle with n vertices) b) Wn, where n ≥ 3 (Wheel with n vertices) c)Complete graph with n vertices.

answered Jul 8, 2017 in Graph Theory | 300 views

+2 votes

33

profit loss
The selling price of table is 4/5 times its cost price .the gain % is?????

answered Jul 2, 2017 in Verbal Ability | 130 views

0 votes

34

Calculus maxima minima
True / false ? In continuous function if we have three stationary points then always it will be case that either one is maxima and two are minima or one is minima and two are maxima ? I think it is true but i am concerned about constant fucntion

answered Jul 1, 2017 in Calculus | 201 views

0 votes

35

aptitude
a principal become rupee 900 after 3 years and 1200 after 6 years on simple intrest then find the principal and rate of intrest?

answered Jul 1, 2017 in Verbal Ability | 79 views

0 votes

36

Context Free language
If L1 is context free and L2 is not context free, then L1 ∩ L2 is context free. Is this true or not?

answered Jun 29, 2017 in Theory of Computation | 101 views

+1 vote

37

compiler design
the G is S-> while(E)S/a E-> a for nested while statement a.is not LR(1) b.is not SLR(1) c.is not LALR(1) d.is LR(0)

answered Jun 29, 2017 in Compiler Design | 117 views

+2 votes

38

Linear Algebra-Determinant
Suppose det(A)=4 then how we could find the det(a^4) ? A is a square matrix of order 4X4 .

answered Jun 29, 2017 in Linear Algebra | 145 views

0 votes

39

GATE2006-29
If $s$ is a string over $(0+1)^*$ then let $n_0(s)$ denote the number of $0$'s in $s$ and $n_1(s)$ the number of $1$'s in $s$. Which one of the following languages is not regular? $L=\left \{ s\in (0+1)^* \mid n_{0}(s) \text{ is a 3-digit prime } \right \}$ ... $L=\left \{ s\in (0+1)^*\mid n_{0}(s) \mod 7=n_{1}(s) \mod 5=0 \right \}$

answered Jun 28, 2017 in Theory of Computation | 6.4k views

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