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User Happy Mittal
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Answers by Happy Mittal
11
votes
1
Mathematics: Gate 2016 EE set-2
A 3X3 matrix P is such that, P^3 = P. Then the eigenvalues of P are: 1) 1, 1, -1 2) 1, 0.5 + j0.866, 0.5 - j0.866 3) 1, -0.5 + j0.866, -0.5 - j0.866 4) 0, 1, -1
answered
in
Linear Algebra
May 24, 2017
4.8k
views
gate2016-ee-2
linear-algebra
eigen-value
41
votes
2
GATE CSE 2017 Set 1 | Question: 19
Let $X$ be a Gaussian random variable with mean 0 and variance $\sigma ^{2}$. Let $Y$ = $\max\left ( X,0 \right )$ where $\max\left ( a,b \right )$ is the maximum of $a$ and $b$. The median of $Y$ is ______________ .
answered
in
Probability
Feb 17, 2017
15.9k
views
gatecse-2017-set1
probability
numerical-answers
normal-distribution
2
votes
3
#Probability
answered
in
Probability
Nov 5, 2016
178
views
3
votes
4
IISc2012
How many number less than 100 has an odd number of factors ??
answered
in
Written Exam
Feb 23, 2016
267
views
7
votes
5
IISc2012Research
#IISc2012Research Rank of a matrix, a (i,j)=0,if i+j odd, else 1
answered
in
Admissions
Feb 23, 2016
191
views
2
votes
6
quantifiers
1. Let P(x, y) be a propositional function. Show that∃x ∀y P(x, y) → ∀y ∃x P(x, y) is a tautology. 2. Let P(x) and Q(x) be propositional functions. Showthat ∃x (P(x) → Q(x)) and & ... 4. If ∀x ∃y P(x, y) is true, does it necessarily follow that ∃x ∀y P(x, y) is true?
answered
in
Mathematical Logic
Jan 11, 2016
1.8k
views
4
votes
7
regarding pointers
What does this mean? int *(*func())[] According to me , it means that its an array of pointers to functions which returns pointers of type int. Am I correct?
answered
in
Programming
Jan 11, 2016
400
views
5
votes
8
What is the time complexity of this problem ?
Given an array S containing n real numbers, and a real number x. We want to find any two elements p and q in the array such that their sum is greater than the real number x. What is the best possible time complexity to find p and q ? ... first and second element's sum is greater than x , then it can be done in O(1) time , right ? Please correct me.
answered
in
Algorithms
Jan 11, 2016
268
views
algorithms
time-complexity
5
votes
9
TIFR2010-Maths-B-12
If $n$ and $m$ are positive integers and $n^{9}=19m+r$, then the possible values for $r$ modulo 19 are. Only 0 Only 0, $\pm$ 1 Only $\pm$ 1 None of the above
answered
in
Quantitative Aptitude
Oct 14, 2015
915
views
tifrmaths2010
quantitative-aptitude
modular-arithmetic
4
votes
10
TIFR2010-Maths-B-10
Let $x$ and $y \in \mathbb{R}^{n}$ be non-zero column vectors, from the matrix $A=xy^{T}$, where $y^{T}$ is the transpose of $y$. Then the rank of $A$ is: $2$ $0$ At least $n/2$ None of the above
answered
in
Linear Algebra
Oct 14, 2015
1.3k
views
tifrmaths2010
matrix
3
votes
11
TIFR2010-Maths-B-2
If $V$ is a vector space over the field $\mathbb{Z}/5\mathbb{Z}$ and $\dim_{Z/5\mathbb{Z}}(V)=3$ then $V$ has. 125 elements 15 elements 243 elements None of the above
answered
in
Linear Algebra
Oct 13, 2015
1.3k
views
tifrmaths2010
vector-space
3
votes
12
TIFR2010-Maths-B-9
Let $G=\left \{ z \in \mathbb{C} \mid z^n = 1 \text{ for some positive integer } n \right \}$. Then under multiplication of complex numbers, $G$ is a group of finite order $G$ is a group of infinite order, but every element of $G$ has finite order $G$ is a cyclic group None of the above
answered
in
Set Theory & Algebra
Oct 13, 2015
942
views
tifrmaths2010
set-theory&algebra
group-theory
3
votes
13
counting
Find the number of ways of forming a committee of 9 people drawn from 3 different parties so that no party has absolute majority in committee?
answered
in
Combinatory
Oct 9, 2015
413
views
16
votes
14
TIFR CSE 2010 | Part B | Question: 26
Suppose there is a balanced binary search tree with $n$ nodes, where at each node, in addition to the key, we store the number of elements in the sub tree rooted at that node. Now, given two elements $a$ and $b$, such that $a < b$ ... $O(n)$ comparisons and $O(n)$ additions, using depth-first- search.
answered
in
DS
Oct 9, 2015
6.5k
views
tifr2010
binary-search-tree
1
vote
15
expectation
In a lottery there are 200 prizes of Rs 5 ,20 prizes of Rs 25 and 5 prizes of Rs 100.Assuming 10000 prizes tickets are to be issued and sold what is the fair price to pay for ticket? 1)Rs 0.2 2)Rs 0.4 3)Rs 0.5 4)Rs 0.6
answered
in
Probability
Oct 6, 2015
1.6k
views
0
votes
16
probability
If 20% of bolts produced by machine are defective determine probability that out of 4 bolts choosen number of defective bolts is less than 2 1)27/64 2)81/256 3)27/256 4)512/625
answered
in
Probability
Oct 6, 2015
3.4k
views
4
votes
17
exponential distribution
Suppose a system contains certain type of component whose lifetime is T .Random variable T is modelled by exponential distribution with mean time to failure is b=5 .Probability that given component installed on system is still working after 8 years is 1)0.16 2)0.17 3 ... that atleast 2 components are still functioning at end of 8 years? 1)0.4128 2)0.3645.3)0.3149 4)0.2627
answered
in
Probability
Oct 6, 2015
2.9k
views
0
votes
18
no of non negative solution
number of non negative integer solution for 1)x1+x2+x3+x4+x5
answered
in
Combinatory
Oct 5, 2015
235
views
1
vote
19
combination
Suppose 10 persons are in canteen whoch offers coffee,tea,pepsi How many ways they can order their drinks as a group if each persin wants one of the 3 drinks ?
answered
in
Combinatory
Oct 5, 2015
285
views
1
vote
20
How to solve below question on trees ?
I am geting confused with the term maximum of p sons , otherwise I was applying handshaking lemma but this maximum word is where I am getting stucked , so plz clarify this .
answered
in
Programming
Sep 27, 2015
227
views
0
votes
21
Eigen vectors
if the matrix A (3∗3) has 3 distinct eigen values then the no.of linearly independent eigen vectors for A= a)1 b)2 c)3 d)infinite
answered
in
Linear Algebra
Sep 27, 2015
8.0k
views
45
votes
22
GATE CSE 2006 | Question: 23
$F$ is an $n\times n$ real matrix. $b$ is an $n\times 1$ real vector. Suppose there are two $n\times 1$ vectors, $u$ and $v$ such that, $u ≠ v$ and $Fu = b, Fv = b$. Which one of the following statements is false? Determinant of $F$ is zero. There are an infinite number of solutions to $Fx = b$ There is an $x≠0$ such that $Fx = 0$ $F$ must have two identical rows
answered
in
Linear Algebra
Sep 27, 2015
6.8k
views
gatecse-2006
linear-algebra
normal
matrix
51
votes
23
GATE CSE 1994 | Question: 2.2
On the set $N$ of non-negative integers, the binary operation ______ is associative and non-commutative.
answered
in
Set Theory & Algebra
Sep 27, 2015
3.4k
views
gate1994
set-theory&algebra
normal
group-theory
binary-operation
fill-in-the-blanks
1
vote
24
What will be the output?
#include <stdio.h> char str1[100]; char *fun(char str[]) { static int i = 0; if (*str) { fun(str+1); str1[i] = *str; i++; } return str1; } int main() { char str[] = "GATE CS 2015 Mock Test"; printf(" ... kcoM 5102 SC ETAG C)Nothing is printed on screen D)Segmentation Fault i think answer should be option C.But the answer given as B.please explation how.
answered
in
Programming
Sep 27, 2015
1.4k
views
programming
programming-in-c
4
votes
25
How is a stack implemented by a priority queue ?
A priority queue Q is used to implement a stack S that stores characters .PUSH(C) is implemented as Insert(Q,C,K) where K is an appropriate integer key chosen by the implementation .POP is implementd as DELETEMIN(Q) . For a sequence of PUSH ... case , while this element would be at the bottom of the stack so then how will I be able to do this ?
answered
in
DS
Sep 26, 2015
2.2k
views
data-structures
1
vote
26
numerical aptitude
There are 1000 villages and 1000 salesmen. 1st salesman visits every village. 2nd salesman visits every 2nd village starting from the second village. 3rd salesman visits every 3rd village starting from the third village. This process goes on till 1000th salesman visits the 1000th ... following villages is visited by maximum number of salesman? (a) 384 (b) 720 (c) 490 (d) 900
answered
in
Quantitative Aptitude
Sep 25, 2015
600
views
5
votes
27
What will be the in the units place of?
Q1) What is the units digit of $\left (39^{11} – 32^{11} \right)$? (a) 1 (b) 5 (c) 7 (d) 8 Q2) What will be in the unit place of $45^8 + 19^{11} – 62^{18}$? (a) 0 (b) 2 (c) 3 (d) 7
answered
in
Quantitative Aptitude
Sep 25, 2015
768
views
modular-arithmetic
13
votes
28
Average number of comparisons in a binary search on a sorted array of 10 consecutive int. starting from 1?
answered
in
Algorithms
Sep 16, 2015
23.9k
views
binary-search
numerical-answers
5
votes
29
number of equivalence relation possible with N element of set?
answered
in
Set Theory & Algebra
Sep 16, 2015
3.3k
views
set-theory
relations
13
votes
30
GATE CSE 1998 | Question: 19b
Compute the post fix equivalent of the following expression $3^*\log(x+1)-\frac{a}{2}$
answered
in
DS
Aug 29, 2015
11.3k
views
gate1998
stack
infix-prefix
descriptive
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The spreadsheet is up to date.
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