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0
votes
1
answer
1
ISI 2018 MMA 2
The volume of the region $S=\{(x,y,z) :\left  x \right +\left  y \right +\left  z \right \leq 1\}$ is $\frac{1}{6}$ $\frac{1}{3}$ $\frac{2}{3}$ $\frac{4}{3}$
asked
May 14
in
Linear Algebra

69
views
isi2018
vectorspace
0
votes
0
answers
2
ISI 2018 MMA 1
The number of common terms in the two sequence (3,7,11,...,407} and {2,9,16,...,70} is A)13 B)14 C)15 D)16
asked
May 14
in
Combinatory

51
views
userisi2018
usermod
sequenceseries
0
votes
1
answer
3
ISI 2016 MMA 24
let $f:\mathbb{R} \rightarrow \mathbb{R}$ be a strictly increasing function. Then which one of the following is always true? A) The limits $\lim_{x\rightarrow a+} f(X)$ and $\lim_{x\rightarrow a} f(X)$ exist for all real number a B) if $f$ is differentiable at a ... that $f(x) < B$ for all real $x$ D) There cannot not be a real number $L$ such that $f(x) > L$ for all real $x$
asked
Apr 30
in
Calculus

42
views
isi2016
functions
0
votes
0
answers
4
ISI 2017 PCB C6
Let A = {a1,a2,...,an} be an array of n distinct numbers. The array may not be sorted. The first element a1 is said to be a blip if a1>a2. Similar, the last element an is said to be a blip if an>an1. Among the remaining elements, an element ai is ... $i \in (2,3,...,n1)$. Design an O(log n) time algorithm for finding a blip in A. Justify the complexity of your algorithm
asked
Apr 28
in
Algorithms

69
views
isi2017
algorithms
+1
vote
1
answer
5
ISI 2017 PCB A2
Let $a,b,c$ and $d$ be real number such that $a+b=c+d$ and $ab=cd$. Prove that $a^{n}+b^{n}=c^{n}+d^{n}$ for all positive integer $n$.
asked
Apr 28
in
Combinatory

103
views
userisi2017
usermod
0
votes
0
answers
6
ISI 2017 MMA 18
Consider following system of equations: $\begin{bmatrix} 1 &2 &3 &4 \\ 5&6 &7 &8 \\ a&9 &b &10 \\ 6&8 &10 & 13 \end{bmatrix}$$\begin{bmatrix} x1\\ x2\\ x3\\ x4 \end{bmatrix}$=$\begin{bmatrix} 0\\ 0\\ 0\\ 0 \end{bmatrix ... solution for ($x_{1},x_{2},x_{3},x_{4}$) is A) a parabola B) a straight line C) entire $\mathbb{R}^{2}$ D) a point
asked
Apr 25
in
Linear Algebra

123
views
isi2017
0
votes
0
answers
7
ISI 2017 MMA 23
What is the smallest degree of a polynomial with real coefficients and having root $2\omega , 2 + 3\omega , 2\omega^{2} , 1 3\omega$ and $2\omega  \omega^{2}$? [Here $\omega\neq$1 is a cube root of unity.] A) 5 B) 7 C) 9 D) 10
asked
Apr 25
in
Set Theory & Algebra

96
views
isi2017
0
votes
2
answers
8
ISI2017MMA24
The number of polynomial function $f$ of degree $\geq$ 1 satisfying $$f(x^{2})=(f(x))^{2}=f(f(x))$$ for all real $x$, is $0$ $1$ $2$ infinitely many
asked
Apr 24
in
Set Theory & Algebra

87
views
isi2017
functions
0
votes
0
answers
9
ISI 2017 MMA 25
For a,b $\in \mathbb{R}$ and b > a , the maximum possible value of the integral $\int_{a}^{b}(7xx^{2}10)dx$ is A) $\frac{7}{2}$ B) $\frac{9}{2}$ C) $\frac{11}{2}$ D) none of these
asked
Apr 24
in
Calculus

73
views
isi2017
calculus
+1
vote
1
answer
10
ISI2017MMA28
Let $H$ be a subgroup of group $G$ and let $N$ be a normal subgroup of $G$. Choose the correct statement : $H\cap N$ is a normal subgroup of both $H$ and $N$ $H\cap N$ is a normal subgroup of $H$ but not necessarily of $N$ $H\cap N$ is a normal subgroup of $N$ but not necessarily of $H$ $H\cap N$ need not to be a normal subgroup of either $H$ or $N$
asked
Apr 24
in
Set Theory & Algebra

76
views
isi2017
groups
0
votes
2
answers
11
ISI2017MMA27
A box contains $5$ fair and $5$ biased coins. Each biased coin has a probability of head $\frac{4}{5}$. A coin is drawn at random from the box and tossed. Then the second coin is drawn at random from the box ( without replacing the first one). Given that the first coin has shown ... that the second coin is fair, is $\frac{20}{39}$ $\frac{20}{37}$ $\frac{1}{2}$ $\frac{7}{13}$
asked
Apr 24
in
Probability

93
views
isi2017
probability
0
votes
1
answer
12
ISI 2017 MMA 20
The number of the ordered pair (X, Y), where X and Y are N*N real matrices such that XYYX= I is A) 0 B) 1 C) N D) Infinite
asked
Apr 24
in
Linear Algebra

114
views
osi2017
engineeringmathematics
0
votes
1
answer
13
ISI 2017 MMA 16
Let ($x_{n}$) be a sequence of a real number such that the subsequence ($x_{2n}$) and ($x_{3n}$) converge to limit K and L respectively. Then A) ($x_{n}$) always converge B) If K=L then ($x_{n}$) converge C) ($x_{n}$) may not converge but K=L D) it is possible to have K$\neq$L
asked
Apr 24
in
Linear Algebra

104
views
isi2017
calculus
engineeringmathematics
0
votes
2
answers
14
ISI 2017 MMA 1
The area lying in the first quadrant and bounded by the circle $x^{2}+y^{2}=4$ and the lines $x= 0$ and $x=1$ is given by $\frac{\pi}{3}+\frac{\sqrt{3}}{2}$ $\frac{\pi}{6}+\frac{\sqrt{3}}{4}$ $\frac{\pi}{3}\frac{\sqrt{3}}{2}$ $\frac{\pi}{6}+\frac{\sqrt{3}}{2}$
asked
Apr 23
in
Calculus

89
views
isi2017
calculus
areaundercurve
0
votes
1
answer
15
PGEE 2018
In a minheap with $n$ elements with the smallest element at the root, the $7^{th}$ smallest element can be found in time $\Theta (n \log n)$ $\Theta (n)$ $\Theta(\log n)$ $\Theta(1)$
asked
Apr 22
in
Algorithms

133
views
iiithpgee
0
votes
0
answers
16
PGEE 2018
For which one of the following reasons does internet protocol(IP) use the timetolive(TTL) field in IP datagram header? Ensure packets reach destination within that time Discard packets that reach later than that time Prevent packets from looping indefinitely Limit the time for which a packet gets queued in intermediate routers
asked
Apr 22
in
Computer Networks

109
views
iiithpgee
0
votes
0
answers
17
PGEE 2018
A firewall is to be configured to allow hosts in a private network to freely open TCP connections and send packets on open connections. However, it will only allow external hosts to send packets on existing open TCP connections or connections that are ... should be that of A combinational circuit A finite automaton A pushdown automaton with one stack A pushdown automaton with two stacks
asked
Apr 22
in
Computer Networks

75
views
iiithpgee
0
votes
0
answers
18
PGEE 2018
Which of the following system calls does not return control to the calling point, on termination? a) fork b) exec c) ioctl d) none of the option
asked
Apr 22
in
Operating System

72
views
iiithpgee
0
votes
3
answers
19
PGEE 2018
void main(){ fork(); fork(); printf("Hello"); } How many time print function will execute
asked
Apr 22
in
Operating System

103
views
iiithpgee
0
votes
1
answer
20
PGEE 2018
Consider relation R(A,B,C,D) with FD A>B C>D is decomposed in to R1(AB) and R2(CD) then above decomposition is ' A) lossless but not dependency preserving B) Dependence preserving and lossless C) Dependency preserving but not lossless D) Neither Dependency preserving nor lossless
asked
Apr 22
in
Databases

92
views
iiithpgee
0
votes
2
answers
21
PGEE 2018
Which of the following can be used to realize all the boolean function A) Nand B) Exor C) AND D) Nor
asked
Apr 22
in
Digital Logic

61
views
iiithpgee
0
votes
0
answers
22
PGEE 2018
By connecting Q to ___ and Q' to ____ we can achieve sequence 1,0,1,0,1..... using SR flipflop where s is set to 1 and R to 0 A) S S B) S R C) R S D) R R
asked
Apr 22
in
Digital Logic

60
views
iiithpgee
0
votes
2
answers
23
PGEE 2018
let 5,8,11,14,17,20.. be series then 320 will be which term of this series A) 104 B) 106 C) 962 D) 87
asked
Apr 22
in
Set Theory & Algebra

54
views
iiithpgee
0
votes
1
answer
24
PGEE 2018
let $\left  A \right=8$ ,$\left  B \right=3$ ,$\left  C \right=6$ then what will be value of AB$^{T}$C$^{1}$ A) 144 B) 0 C) 4 D) 14
asked
Apr 22
in
Linear Algebra

199
views
iiithpgee
0
votes
1
answer
25
PGEE 2018
Which of there is free from deadlock and starvation both? 1) Both 2PL and time stamp ordering 2) Only time stamp 3) only 2PL 4) None
asked
Apr 22
in
Databases

95
views
iiithpgee
databases
0
votes
1
answer
26
PGEE 2018
void main(){ static int i=5; printf("%d",i); If(i) main() } What will be output of the program
asked
Apr 22
in
Programming

94
views
iiithpgee
+1
vote
2
answers
27
PGEE 2018
Three person plays a game by tossing a coin, if atleast one of the outcome is different from another end is declared, coins are biased with probability of head is 1/4 what is probability that game ends in first round
asked
Apr 21
in
Probability

93
views
iiithpgee
probability
+1
vote
1
answer
28
PGEE 2018
4 person wearing different hat went to restaurant, they gave there hat to manager, manager has habit of forgetting thing while returning manager gave hat back to each person, probability that none of the person gets there respective hats is ?
asked
Apr 21
in
Probability

132
views
iiithpgee
probability
+1
vote
2
answers
29
PGEE 2018
p: n is a prime number q: n mod 30 is prime number 1) p implies q 2) q implies p 3) p implies q or q implies p 4) If p implies q then q implies p
asked
Apr 21
in
Mathematical Logic

182
views
iiithpgee
mathematicallogic
0
votes
1
answer
30
PGEE 2018
let A and B be two n*n matrices such that they follow commutative property under multiplication operation which of the following follows commutative property 1) $A^{T} B$ 2) $B^{T} A$ 3) $A^{T} B^{T}$ 4) None
asked
Apr 21
in
Linear Algebra

99
views
iiithpgee
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