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1
votes
1
answer
1
ISI2018-MMA-6
The volume of the region $S=\{(x,y,z) : \mid x \mid +\mid y \mid + \mid z \mid \leq 1\}$ is $\frac{1}{6}\\$ $\frac{1}{3}\\$ $\frac{2}{3}\\$ $\frac{4}{3}$
The volume of the region $S=\{(x,y,z) : \mid x \mid +\mid y \mid + \mid z \mid \leq 1\}$ is$\frac{1}{6}\\$$\frac{1}{3}\\$$\frac{2}{3}\\$$\frac{4}{3}$
1.1k
views
asked
May 14, 2018
Quantitative Aptitude
isi2018-mma
general-aptitude
quantitative-aptitude
+
–
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
The number of common terms in the two sequence (3,7,11,...,407} and {2,9,16,...,70} isA)13 B)14C)15D)16
842
views
asked
May 14, 2018
Combinatory
userisi2018
usermod
sequence-series
+
–
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? The limits $\lim_{x\rightarrow a+} f(X)$ and $\lim_{x\rightarrow a-} f(X)$ exist for all real number a if $f$ ... $x$ There cannot not be a real number $L$ such that $f(x) > L$ for all real $x$
Let $f:\mathbb{R} \rightarrow \mathbb{R}$ be a strictly increasing function. Then which one of the following is always true?The limits $\lim_{x\rightarrow a+} f(X)$ and $...
842
views
asked
Apr 30, 2018
Calculus
isi2016
functions
+
–
1
votes
2
answers
4
ISI-2017-PCB-C6
Let $A = \{a_1,a_2, \dots ,a_n\}$ be an array of $n$ distinct numbers. The array may not be sorted. The first element $a_1$ is said to be a blip if $a_1 > a_2$. Similar, the last element an is said to be a blip if $a_n > a_{n-1}$. Among the ... $O(\log n)$ time algorithm for finding a blip in $A$. Justify the complexity of your algorithm.
Let $A = \{a_1,a_2, \dots ,a_n\}$ be an array of $n$ distinct numbers. The array may not be sorted. The first element $a_1$ is said to be a blip if $a_1 a_2$. Similar, t...
965
views
asked
Apr 28, 2018
Algorithms
isi2017
algorithms
algorithm-design
descriptive
+
–
1
votes
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 $n$.
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 $n$.
484
views
asked
Apr 28, 2018
Combinatory
userisi2017
usermod
+
–
1
votes
1
answer
6
ISI2017-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 \ ... at least two distinct solution for ($x_{1},x_{2},x_{3},x_{4}$) is a parabola a straight line entire $\mathbb{R}^{2}$ a point
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}$$\begin{bmatrix} x1\\ x2\\ x3\\ x4 \end{bmatri...
1.4k
views
asked
Apr 25, 2018
Linear Algebra
isi2017-mma
engineering-mathematics
linear-algebra
system-of-equations
+
–
0
votes
0
answers
7
ISI2017-MMA-23
What is the smallest degree of a polynomial with real coefficients and having root $2\omega , 2 + 3\omega , 2\omega^{2} , -1 -3\omega$ and $2-\omega - \omega^{2}?$ [Here $\omega\neq$1 is a cube root of unity.] $5$ $7$ $9$ $10$
What is the smallest degree of a polynomial with real coefficients and having root $2\omega , 2 + 3\omega , 2\omega^{2} , -1 -3\omega$ and $2-\omega - \omega^{2}?$ [Here ...
935
views
asked
Apr 25, 2018
Quantitative Aptitude
isi2017-mma
general-aptitude
quantitative-aptitude
+
–
10
votes
5
answers
8
ISI2017-MMA-24
The number of polynomial function $f$ of degree $\geq$ 1 satisfying $f(x^{2})=(f(x))^{2}=f(f(x))$ for all real $x$, is $0$ $1$ $2$ infinitely many
The number of polynomial function $f$ of degree $\geq$ 1 satisfying $f(x^{2})=(f(x))^{2}=f(f(x))$ for all real $x$, is$0$$1$$2$infinitely many
1.5k
views
asked
Apr 24, 2018
Quantitative Aptitude
isi2017-mma
general-aptitude
quantitative-aptitude
+
–
0
votes
0
answers
9
ISI2017-MMA-25
For $a,b \in \mathbb{R}$ and $b > a$ , the maximum possible value of the integral $\int_{a}^{b}(7x-x^{2}-10)dx$ is $\frac{7}{2}\\$ $\frac{9}{2}\\$ $\frac{11}{2}\\$ none of these
For $a,b \in \mathbb{R}$ and $b a$ , the maximum possible value of the integral $\int_{a}^{b}(7x-x^{2}-10)dx$ is$\frac{7}{2}\\$$\frac{9}{2}\\$$\frac{11}{2}\\$none of the...
1.2k
views
asked
Apr 24, 2018
Calculus
isi2017-mma
engineering-mathematics
calculus
integration
+
–
3
votes
3
answers
10
ISI2017-MMA-28
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 $N$
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...
2.7k
views
asked
Apr 24, 2018
Set Theory & Algebra
isi2017-mma
engineering-mathematics
discrete-mathematics
set-theory&algebra
group-theory
+
–
8
votes
4
answers
11
ISI2017-MMA-27
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 head ... the second coin is fair is $\frac{20}{39}\\$ $\frac{20}{37}\\$ $\frac{1}{2}\\$ $\frac{7}{13}$
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...
2.6k
views
asked
Apr 24, 2018
Probability
isi2017-mma
engineering-mathematics
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 XY-YX= I is A) 0 B) 1 C) N D) Infinite
The number of the ordered pair (X, Y), where X and Y are N*N real matrices such that XY-YX= I isA) 0B) 1C) ND) Infinite
1.5k
views
asked
Apr 24, 2018
Linear Algebra
osi2017
engineering-mathematics
+
–
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 $(x_n)$ always converge If $K=L$ then $(x_n)$ converge $(x_n)$ may not converge but $K=L$ it is possible to have $K \neq L$
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$(x_n)$ always convergeIf $...
752
views
asked
Apr 24, 2018
Calculus
isi2017
calculus
engineering-mathematics
non-gate
convergence
+
–
5
votes
3
answers
14
ISI2017-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}$
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}+...
1.8k
views
asked
Apr 23, 2018
Calculus
isi2017-mma
engineering-mathematics
calculus
area-under-the-curve
+
–
3
votes
0
answers
15
PGEE 2018
In a min-heap with $n$ elements with the smallest element at the root, the $7^{th}$ smallest element can be found in time $\Theta (n \log n)$ $\Theta (n)$ $\Theta(\log n)$ $\Theta(1)$
In a min-heap 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)$$\...
690
views
asked
Apr 22, 2018
Algorithms
iiith-pgee
+
–
2
votes
0
answers
16
PGEE 2018
For which one of the following reasons does internet protocol(IP) use the time-to-live(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
For which one of the following reasons does internet protocol(IP) use the time-to-live(TTL) field in IP datagram header?Ensure packets reach destination within that timeD...
746
views
asked
Apr 22, 2018
Computer Networks
iiith-pgee
+
–
2
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
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 extern...
699
views
asked
Apr 22, 2018
Computer Networks
iiith-pgee
+
–
3
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
Which of the following system calls does not return control to the calling point, on termination?a) forkb) execc) ioctld) none of the option
675
views
asked
Apr 22, 2018
Operating System
iiith-pgee
+
–
1
votes
3
answers
19
PGEE 2018
void main(){ fork(); fork(); printf("Hello"); } How many time print function will execute
void main(){ fork(); fork(); printf("Hello"); }How many time print function will execute
821
views
asked
Apr 22, 2018
Operating System
iiith-pgee
operating-system
fork-system-call
+
–
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
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 p...
682
views
asked
Apr 22, 2018
Databases
iiith-pgee
+
–
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