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Search results for isi2017
10
votes
8
answers
1
ISI2017-MMA-29
Suppose the rank of the matrix $\begin{pmatrix}1&1&2&2\\1&1&1&3\\a&b&b&1\end{pmatrix}$ is $2$ for some real numbers $a$ and $b$. Then $b$ equals $1$ $3$ $1/2$ $1/3$
Suppose the rank of the matrix$$\begin{pmatrix}1&1&2&2\\1&1&1&3\\a&b&b&1\end{pmatrix}$$is $2$ for some real numbers $a$ and $b$. Then $b$ equals$1$$3$$1/2$$1/3$
jjayantamahata
2.7k
views
jjayantamahata
asked
Mar 29, 2018
Linear Algebra
isi2017-mma
engineering-mathematics
linear-algebra
rank-of-matrix
+
–
1
votes
3
answers
2
ISI2017-MMA-26
Let $n$ be the number of ways in which $5$ men and $7$ women can stand in a queue such that all the women stand consecutively. Let $m$ be the number of ways in which the same $12$ persons can stand in a queue such that exactly $6$ women stand consecutively. Then the value of $\frac{m}{n}$ is $5$ $7$ $\frac{5}{7}$ $\frac{7}{5}$
Let $n$ be the number of ways in which $5$ men and $7$ women can stand in a queue such that all the women stand consecutively. Let $m$ be the number of ways in which the ...
go_editor
1.4k
views
go_editor
asked
Sep 15, 2018
Combinatory
isi2017-mma
engineering-mathematics
discrete-mathematics
combinatory
+
–
1
votes
1
answer
3
ISI2017-PCB-CS-7-b
Define a Boolean function $F(X_1, X_2, X_3, X_4, X_5, X_6)$ of six variables such that $\\ \begin{array}{llll} F & = & 1, & \text{when three or more input variables are at logic 1} \\ { } & = & 0, & \text{otherwise} \end{array} $ How many essential prime implicants does $F$ have? Justify they are essential.
Define a Boolean function $F(X_1, X_2, X_3, X_4, X_5, X_6)$ of six variables such that$\\ \begin{array}{llll} F & = & 1, & \text{when three or more input variables are a...
akash.dinkar12
617
views
akash.dinkar12
asked
Apr 8, 2019
Digital Logic
isi2017-pcb-cs
digital-logic
prime-implicants
descriptive
+
–
3
votes
3
answers
4
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...
Tesla!
2.7k
views
Tesla!
asked
Apr 24, 2018
Set Theory & Algebra
isi2017-mma
engineering-mathematics
discrete-mathematics
set-theory&algebra
group-theory
+
–
0
votes
2
answers
5
ISI2017-PCB-CS-2(a)
Write a complete ANSI C code using recursion to calculate the $sum(s)$ of the digits of an integer number (i) consisting of maximum 5 digits. For example, (1) = if $i=12345$, then your program should print $s=15$, (2) if $ i=457$, then $s=16$.
Write a complete ANSI C code using recursion to calculate the $sum(s)$ of the digits of an integer number (i) consisting of maximum 5 digits. For example, (1) = if $i=123...
go_editor
393
views
go_editor
asked
Sep 20, 2018
Programming in C
isi2017-pcb-cs
programming
programming-in-c
descriptive
+
–
0
votes
1
answer
6
ISI2017-PCB-CS-8-a
Write the number $(-5)^{\frac{1}{2}}$ in single precision IEEE 754 floating point form.
Write the number $(-5)^{\frac{1}{2}}$ in single precision IEEE 754 floating point form.
go_editor
700
views
go_editor
asked
Sep 20, 2018
Digital Logic
isi2017-pcb-cs
digital-logic
ieee-representation
descriptive
+
–
1
votes
1
answer
7
ISI2017-PCB-CS-5(b)
Consider a paging system with the page table stored in memory. If a memory reference takes $200$ nanoseconds, how long does a paged memory reference take? If we add a Translation Lookaside Buffer (TLB) and $75$ percent of all page-table references are ... memory reference time? Assume that finding a page-table entry in the TLB takes $20$ nanoseconds, if the entry is present.
Consider a paging system with the page table stored in memory. If a memory reference takes $200$ nanoseconds, how long does a paged memory reference take? If we add a Tra...
akash.dinkar12
7.9k
views
akash.dinkar12
asked
Apr 8, 2019
Operating System
isi2017-pcb-cs
operating-system
paging
translation-lookaside-buffer
descriptive
+
–
0
votes
1
answer
8
ISI2017-MMA-6
In a class of $80$ students, $40$ are girls and $40$ are boys. Also, exactly $50$ students wear glasses. Then the set of all possible numbers of boys without glasses is $\{0, \dots , 30\}$ $\{10, \dots , 30\}$ $\{0, \dots , 40\}$ none of these
In a class of $80$ students, $40$ are girls and $40$ are boys. Also, exactly $50$ students wear glasses. Then the set of all possible numbers of boys without glasses is$\...
go_editor
745
views
go_editor
asked
Sep 15, 2018
Combinatory
isi2017-mma
engineering-mathematics
discrete-mathematics
combinatory
+
–
1
votes
3
answers
9
ISI2017-DCG-8
If $x,y,z$ are in $A.P.$ and $a>1$, then $a^x, a^y, a^z$ are in $A.P.$ $G.P$ $H.P$ none of these
If $x,y,z$ are in $A.P.$ and $a>1$, then $a^x, a^y, a^z$ are in$A.P.$$G.P$$H.P$none of these
gatecse
478
views
gatecse
asked
Sep 18, 2019
Quantitative Aptitude
isi2017-dcg
quantitative-aptitude
arithmetic-series
+
–
2
votes
2
answers
10
ISI2017-DCG-7
If $\begin{vmatrix} 10! & 11! & 12! \\ 11! & 12! & 13! \\ 12! & 13! & 14! \end{vmatrix} = k(10!)(11!)(12!)$, then the value of $k$ is $1$ $2$ $3$ $4$
If $\begin{vmatrix} 10! & 11! & 12! \\ 11! & 12! & 13! \\ 12! & 13! & 14! \end{vmatrix} = k(10!)(11!)(12!)$, then the value of $k$ is$1$$2$$3$$4$
gatecse
514
views
gatecse
asked
Sep 18, 2019
Linear Algebra
isi2017-dcg
linear-algebra
determinant
+
–
8
votes
4
answers
11
ISI2017-MMA-27
A box contains $5$ fair and $5$ biased coins. Each biased coin has a probability of head $\frac{4}{5}$. A coin is drawn at random from the box and tossed. Then the second coin is drawn at random from the box ( without replacing the first one). Given that the first coin has shown head ... the second coin is fair is $\frac{20}{39}\\$ $\frac{20}{37}\\$ $\frac{1}{2}\\$ $\frac{7}{13}$
A box contains $5$ fair and $5$ biased coins. Each biased coin has a probability of head $\frac{4}{5}$. A coin is drawn at random from the box and tossed. Then the second...
Tesla!
2.6k
views
Tesla!
asked
Apr 24, 2018
Probability
isi2017-mma
engineering-mathematics
probability
+
–
1
votes
1
answer
12
ISI2017-PCB-CS-5(a)
An operating system contains three resource classes. The number of resource units in these classes are $7, 7\ \text{and} \ 10$ ... safe? Justify. If process $P_1$ now requests $(1,1,0)$ resources, then what will be the status of the new state?
An operating system contains three resource classes. The number of resource units in these classes are $7, 7\ \text{and} \ 10$ respectively. The current resource allocati...
go_editor
1.6k
views
go_editor
asked
Sep 20, 2018
Operating System
isi2017-pcb-cs
operating-system
bankers-algorithm
descriptive
+
–
7
votes
4
answers
13
ISI2017-DCG-10
The value of the Boolean expression (with usual definitions) $(A’BC’)’ +(AB’C)’$ is $0$ $1$ $A$ $BC$
The value of the Boolean expression (with usual definitions) $(A’BC’)’ +(AB’C)’$ is$0$$1$$A$$BC$
gatecse
1.0k
views
gatecse
asked
Sep 18, 2019
Digital Logic
isi2017-dcg
digital-logic
boolean-algebra
boolean-expression
+
–
0
votes
1
answer
14
ISI2017-PCB-CS-8-b
Consider a simple code $\mathcal{C}$ for error detection and correction. Each codeword in $\mathcal{C}$ consists of $2$ data bits $[d_1, d_0]$ followed by check bits $[c_2, c_1, c_0]$ ... . Write down all the codewords for $\mathcal{C}$ Determine the minimum Hamming distance between any two distinct codewords of $\mathcal{C}$
Consider a simple code $\mathcal{C}$ for error detection and correction. Each codeword in $\mathcal{C}$ consists of $2$ data bits $[d_1, d_0]$ followed by check bits $[c_...
akash.dinkar12
761
views
akash.dinkar12
asked
Apr 8, 2019
Digital Logic
isi2017-pcb-cs
digital-logic
error-detection
programming
descriptive
+
–
1
votes
4
answers
15
ISI2017-MMA-10
The inequality $\mid x^2 -5x+4 \mid > (x^2-5x+4)$ holds if and only if $1 < x < 4$ $x \leq 1$ and $x \geq 4$ $1 \leq x \leq 4$ $x$ takes any value except $1$ and $4$
The inequality $\mid x^2 -5x+4 \mid (x^2-5x+4)$ holds if and only if$1 < x < 4$$x \leq 1$ and $x \geq 4$$1 \leq x \leq 4$$x$ takes any value except $1$ and $4$
go_editor
1.0k
views
go_editor
asked
Sep 15, 2018
Quantitative Aptitude
isi2017-mma
general-aptitude
quantitative-aptitude
+
–
3
votes
2
answers
16
ISI2017-DCG-1
The value of $\dfrac{1}{\log_2 n}+ \dfrac{1}{\log_3 n}+\dfrac{1}{\log_4 n}+ \dots + \dfrac{1}{\log_{2017} n}\:\:($ where $n=2017!)$ is $1$ $2$ $2017$ none of these
The value of $\dfrac{1}{\log_2 n}+ \dfrac{1}{\log_3 n}+\dfrac{1}{\log_4 n}+ \dots + \dfrac{1}{\log_{2017} n}\:\:($ where $n=2017!)$ is$1$$2$$2017$none of these
gatecse
532
views
gatecse
asked
Sep 18, 2019
Quantitative Aptitude
isi2017-dcg
quantitative-aptitude
logarithms
summation
+
–
0
votes
3
answers
17
ISI2017-MMA-30
The graph of a cubic polynomial $f(x)$ is shown below. If $k$ is a constant such that $f(x)=k$ has three real solutions, which of the following could be a possible value of $k$? $3$ $0$ $-7$ $-3$
The graph of a cubic polynomial $f(x)$ is shown below. If $k$ is a constant such that $f(x)=k$ has three real solutions, which of the following could be a possible value ...
go_editor
698
views
go_editor
asked
Sep 15, 2018
Quantitative Aptitude
isi2017-mma
general-aptitude
quantitative-aptitude
+
–
2
votes
2
answers
18
ISI2017-DCG-9
The solution of $\log_5(\sqrt{x+5}+\sqrt{x})=1$ is $2$ $4$ $5$ none of these
The solution of $\log_5(\sqrt{x+5}+\sqrt{x})=1$ is$2$$4$$5$none of these
gatecse
432
views
gatecse
asked
Sep 18, 2019
Quantitative Aptitude
isi2017-dcg
quantitative-aptitude
logarithms
+
–
1
votes
1
answer
19
ISI2017-MMA-8
Let $X_1$, and $X_2$ and $X_3$ be chosen independently from the set $\{0, 1, 2, 3, 4\}$, each value being equally likely. What is the probability that the arithmetic mean of $X_1, X_2$ and $X_3$ is the same as their geometric mean? $\frac{1}{5^2}\\$ $\frac{1}{5^3}\\$ $\frac{3!}{5^3}\\$ $\frac{3}{5^3}$
Let $X_1$, and $X_2$ and $X_3$ be chosen independently from the set $\{0, 1, 2, 3, 4\}$, each value being equally likely. What is the probability that the arithmetic mean...
go_editor
1.4k
views
go_editor
asked
Sep 15, 2018
Probability
isi2017-mma
engineering-mathematics
probability
+
–
0
votes
2
answers
20
ISI2017-DCG-2
The area of the shaded region in the following figure (all the arcs are circular) is $\pi$ $2 \pi$ $3 \pi$ $\frac{9}{8} \pi$
The area of the shaded region in the following figure (all the arcs are circular) is$\pi$$2 \pi$$3 \pi$$\frac{9}{8} \pi$
gatecse
393
views
gatecse
asked
Sep 18, 2019
Quantitative Aptitude
isi2017-dcg
quantitative-aptitude
geometry
area
+
–
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