The Gateway to Computer Science Excellence
For all GATE CSE Questions
Toggle navigation
Facebook Login
or
Email or Username
Password
Remember
Login
Register

I forgot my password
Activity
Questions
Unanswered
Tags
Subjects
Users
Ask
Prev
Blogs
New Blog
Exams
Questions by Pooja Khatri
User Pooja Khatri
Wall
Recent activity
All questions
All answers
Exams Taken
All Blogs
User Pooja Khatri
Wall
Recent activity
All questions
All answers
Exams Taken
All Blogs
+1
vote
2
answers
1
Permutation & Combination Self Doubt
How many 4 letter combinations can be made with the help of letters of the word STATISTICS?
asked
May 16, 2019
in
Numerical Ability

157
views
permutationandcombination
generalaptitude
0
votes
0
answers
2
Kenneth Rosen Edition 7th Exercise 2.3 Question 74 (Page No. 155)
Prove or disprove each of these statements about the floor and ceiling functions. $\left \lfloor \left \lceil x \right \rceil \right \rfloor = \left \lceil x \right \rceil$ for all real numbers $x.$ ... $x$ and $y.$
asked
Apr 11, 2019
in
Set Theory & Algebra

25
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
0
answers
3
Kenneth Rosen Edition 7th Exercise 2.3 Question 73 (Page No. 155)
Prove or disprove each of these statements about the floor and ceiling functions. $\left \lceil \left \lfloor x \right \rfloor \right \rceil = \left \lfloor x \right \rfloor$ for all real number $x.$ ... $x.$
asked
Apr 11, 2019
in
Set Theory & Algebra

33
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
1
answer
4
Kenneth Rosen Edition 7th Exercise 2.3 Question 72 (Page No. 155)
Suppose that $f$ is a function from $A$ to $B$, where $A$ and $B$ are finite sets with $A=B$. Show that $f$ is onetoone if and only if it is onto.
asked
Apr 11, 2019
in
Set Theory & Algebra

40
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
0
answers
5
Kenneth Rosen Edition 7th Exercise 2.3 Question 71 (Page No. 155)
Let $S$ be a subset of a universal set $U$. The characteristic function $f_{s}$ of $S$ is the function from $U$ to the set $\left \{ 0,1 \right \}$ such that $f_{S}(x)=1$ if $x$ belongs to $S$ and $f_S(x)=0$ if $x$ does not belong to $S$. Let $A$ ... $f_{A \oplus B}(x) = f_{A}(x) + f_{B}(x) 2 f_{A}(x) f_{B}(x) $
asked
Apr 11, 2019
in
Set Theory & Algebra

19
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
0
answers
6
Kenneth Rosen Edition 7th Exercise 2.3 Question 70 (Page No. 155)
Suppose that $f$ is an invertible function from $Y$ to $Z$ and $g$ is an invertible function from $X$ to $Y$. Show that the inverse of the composition $fog$ is given by $(fog)^{1} = g^{1} o f^{1}.$
asked
Apr 11, 2019
in
Set Theory & Algebra

25
views
kennethrosen
discretemathematics
settheory&algebra
+1
vote
2
answers
7
Kenneth Rosen Edition 7th Exercise 2.3 Question 69 (Page No. 155)
Find the inverse function of $f(x) = x^3 +1.$
asked
Apr 11, 2019
in
Set Theory & Algebra

49
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
0
answers
8
Kenneth Rosen Edition 7th Exercise 2.3 Question 68 (Page No. 155)
Draw graphs of each of these functions. $f(x) =$ $\left \lceil 3x2 \right \rceil$ $f(x) =$ $\left \lceil 0.2x \right \rceil$ $f(x) =$ $\left \lfloor 1/x \right \rfloor$ $f(x) =$ $\left \lfloor x^2 \right \rfloor$ ... $f(x) =$ $\left \lfloor 2\left \lceil x/2 \right \rceil +1/2\right \rfloor$
asked
Apr 11, 2019
in
Set Theory & Algebra

20
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
0
answers
9
Kenneth Rosen Edition 7th Exercise 2.3 Question 67 (Page No. 155)
Draw graphs of each of these functions. $f(x) =$ $\left \lfloor x+1/2 \right \rfloor$ $f(x) =$ $\left \lfloor 2x+1 \right \rfloor$ $f(x) =$ $\left \lceil x/3 \right \rceil$ $f(x) =$ $\left \lceil 1/x \right \rceil$ ... $f(x) =$ $\left \lceil \left \lfloor x12 \right \rfloor + 1/2\right \rceil$
asked
Apr 11, 2019
in
Set Theory & Algebra

25
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
0
answers
10
Kenneth Rosen Edition 7th Exercise 2.3 Question 66 (Page No. 155)
Draw the graph of the function $f(n) =$ $\left \lceil x \right \rceil +\left \lceil x/2 \right \rceil$ from $R$ to $R$
asked
Apr 11, 2019
in
Set Theory & Algebra

13
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
0
answers
11
Kenneth Rosen Edition 7th Exercise 2.3 Question 65 (Page No. 155)
Draw the graph of the function $f(n) =$\left \lfloor x \right \rfloor +\left \lfloor x/2 \right \rfloor$ from $R$ to $R$
asked
Apr 11, 2019
in
Set Theory & Algebra

23
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
0
answers
12
Kenneth Rosen Edition 7th Exercise 2.3 Question 64 (Page No. 155)
Draw the graph of the function $f(n) =$\left \lfloor x/2 \right \rfloor$ from $R$ to $R$
asked
Apr 11, 2019
in
Set Theory & Algebra

17
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
0
answers
13
Kenneth Rosen Edition 7th Exercise 2.3 Question 63 (Page No. 155)
Draw the graph of the function $f(n) =$\left \lfloor 2x \right \rfloor$ from $R$ to $R$
asked
Apr 11, 2019
in
Set Theory & Algebra

23
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
0
answers
14
Kenneth Rosen Edition 7th Exercise 2.3 Question 62 (Page No. 155)
Draw the graph of the function $f(n) = 1n^2$ from $Z$ to $Z$
asked
Apr 11, 2019
in
Set Theory & Algebra

7
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
0
answers
15
Kenneth Rosen Edition 7th Exercise 2.3 Question 61 (Page No. 155)
Data are transmitted over a particular Ethernet network in blocks of $1500$ octets (blocks of $8$ bits). How many blocks are required to transmit the following amounts of data over this Ethernet network? (Note that a byte is a synonym ... $1.544$ $\text{megabytes}$ of data $45.3$ $\text{megabytes of}$ data
asked
Apr 11, 2019
in
Set Theory & Algebra

22
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
0
answers
16
Kenneth Rosen Edition 7th Exercise 2.3 Question 60 (Page No. 155)
How many ATM cells (described in Example 28) can be transmitted in $10$ seconds over a link operating at the following rates? $128$ kilobits per second ($1$ kilobit= $1000$ bits) $300$ kilobits per second $1$ megabit per second ($1$ megabit=$1,000,000$ bits)
asked
Apr 11, 2019
in
Set Theory & Algebra

9
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
0
answers
17
Kenneth Rosen Edition 7th Exercise 2.3 Question 59 (Page No. 155)
How many bytes are required to encode $n$ bits of data where $n$ equals $7$ $17$ $1001$ $28800$
asked
Apr 11, 2019
in
Set Theory & Algebra

8
views
kennethrosen
discretemathematics
settheory&algebra
+1
vote
0
answers
18
Kenneth Rosen Edition 7th Exercise 2.3 Question 58 (Page No. 154)
How many bytes are required to encode $n$ bits of data where $n$ equals $4$ $10$ $500$ $3000$
asked
Apr 11, 2019
in
Set Theory & Algebra

15
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
0
answers
19
Kenneth Rosen Edition 7th Exercise 2.3 Question 57 (Page No. 154)
Let $a$ and $b$ be real numbers with $a<b$. Use the floor and / or ceiling functions to express the number of integers $n$ that satisfy the inequality $a<n<b.$
asked
Apr 11, 2019
in
Set Theory & Algebra

11
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
0
answers
20
Kenneth Rosen Edition 7th Exercise 2.3 Question 56 (Page No. 154)
Let $a$ and $b$ be real numbers with $a<b$. Use the floor and / or ceiling functions to express the number of integers $n$ that satisfy the inequality $a≤n≤b$.
asked
Apr 11, 2019
in
Set Theory & Algebra

19
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
0
answers
21
Kenneth Rosen Edition 7th Exercise 2.3 Question 55 (Page No. 154)
The function INT is found on some calculators, where INT$(x)$ = $\left \lfloor x \right \rfloor$ when $x$ nonnegative real number and INT$(x)$ = $\left \lceil x \right \rceil$ when x is a negative real number. Show that this INT function satisfies the identity INT$(x)$=$$ INT$(x)$
asked
Apr 11, 2019
in
Set Theory & Algebra

11
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
0
answers
22
Kenneth Rosen Edition 7th Exercise 2.3 Question 54 (Page No. 154)
Prove that if $x$ is a reall number , then $\left \lfloor x \right \rfloor =  \left \lceil x \right \rceil$ and$\left \lceil x \right \rceil = \left \lfloor x \right \rfloor$
asked
Apr 11, 2019
in
Set Theory & Algebra

20
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
0
answers
23
Kenneth Rosen Edition 7th Exercise 2.3 Question 53 (Page No. 154)
Prove that if $n$ is an integer, then $\left \lfloor n/2 \right \rfloor = n/2$ if $n$ is even and $(n1)/2$ if $n$ is odd.
asked
Apr 9, 2019
in
Set Theory & Algebra

13
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
0
answers
24
Kenneth Rosen Edition 7th Exercise 2.3 Question 52 (Page No. 154)
Show that if $x$ is a real number and $n$ is an integer, then $x<=n$ if and only if $\left \lceil x \right \rceil <=n$ $n<=x$ if and only if $ n<=\left \lfloor x \right \rfloor $
asked
Apr 9, 2019
in
Set Theory & Algebra

25
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
0
answers
25
Kenneth Rosen Edition 7th Exercise 2.3 Question 51 (Page No. 154)
Show that if $x$ is a real number and $n$ is an integer, then $x<n$ if and only if $\left \lfloor x \right \rfloor < n$ $n<x$ if and only if $ n<=\left \lfloor x \right \rfloor $
asked
Apr 9, 2019
in
Mathematical Logic

35
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
1
answer
26
Kenneth Rosen Edition 7th Exercise 2.3 Question 50 (Page No. 154)
Show that if $x$ is a real number, and $m$ is an integer, then $\left \lceil x+m \right \rceil = \left \lceil x \right \rceil +m.$
asked
Apr 9, 2019
in
Set Theory & Algebra

28
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
0
answers
27
Kenneth Rosen Edition 7th Exercise 2.3 Question 49 (Page No. 154)
Show that if $x$ is a real number, then $x1 < \left \lfloor x \right \rfloor <= x<= \left \lceil x \right \rceil < x+1.$
asked
Apr 9, 2019
in
Set Theory & Algebra

7
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
0
answers
28
Kenneth Rosen Edition 7th Exercise 2.3 Question 48 (Page No. 154)
Show that if $x$ is a real number, then $\left \lceil x \right \rceil  \left \lfloor x \right \rfloor =1$ if $x$ is not an integer and $\left \lceil x \right \rceil  \left \lfloor x \right \rfloor =0$ if $x$ is an integer.
asked
Apr 9, 2019
in
Set Theory & Algebra

19
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
0
answers
29
Kenneth Rosen Edition 7th Exercise 2.3 Question 47 Page No. 154)
Show that $\left \lceil x1/2 \right \rceil$ is the closest integer to the number $x$,except when $x$ is midway between two integers, when it is the smaller of these two integers
asked
Apr 9, 2019
in
Set Theory & Algebra

5
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
0
answers
30
Kenneth Rosen Edition 7th Exercise 2.3 Question 46 (Page No. 154)
Show that $\left \lfloor x+1/2 \right \rfloor$ is the closest integer to the number $x$,except when $x$ is midway between two integers, when it is the larger of these two integers
asked
Apr 9, 2019
in
Set Theory & Algebra

17
views
kennethrosen
discretemathematics
settheory&algebra
Page:
1
2
3
4
5
6
...
19
next »
50,741
questions
57,233
answers
197,993
comments
104,579
users