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Questions by Pooja Khatri

1 vote
2 answers
1
How many 4 letter combinations can be made with the help of letters of the word STATISTICS?
asked May 16, 2019 in Numerical Ability 195 views
0 votes
0 answers
2
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 39 views
0 votes
0 answers
3
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 $x.$ $\left \lfloor 2x \right \rfloor = 2\left \lfloor x \right \rfloor$ whenever $x$ is a ... $x$ and $y.$ $\left \lceil x/2 \right \rceil = \left \lfloor x+1 / 2 \right \rfloor$ for all real numbers $x.$
asked Apr 11, 2019 in Set Theory & Algebra 46 views
0 votes
1 answer
4
0 votes
0 answers
5
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 $A$ and $B$ be sets. Show that for all $x$ ... $f_{\sim A}= 1-f_{A} (x)$ $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 32 views
0 votes
0 answers
6
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 38 views
0 votes
0 answers
8
Draw graphs of each of these functions. $f(x) =$ $\left \lceil 3x-2 \right \rceil$ $f(x) =$ $\left \lceil 0.2x \right \rceil$ $f(x) =$ $\left \lfloor -1/x \right \rfloor$ $f(x) =$ $\left \lfloor x^2 \right \rfloor$ $f(x) =$ ... $f(x) =$ $\left \lfloor 2\left \lceil x/2 \right \rceil +1/2\right \rfloor$
asked Apr 11, 2019 in Set Theory & Algebra 33 views
0 votes
0 answers
9
Draw graphs of each of these functions. $f(x) =$ $\left \lfloor x+1/2 \right \rfloor$ $f(x) =$ $\left \lfloor 2x+1 \right \rfloor$ $f(x) =$ $\left \lceil x/3 \right \rceil$ $f(x) =$ $\left \lceil 1/x \right \rceil$ $f(x) =$ ... $\left \lfloor 2x \right \rfloor \left \lceil x/2 \right \rceil$ $f(x) =$ $\left \lceil \left \lfloor x-12 \right \rfloor + 1/2\right \rceil$
asked Apr 11, 2019 in Set Theory & Algebra 35 views
0 votes
0 answers
10
0 votes
0 answers
11
0 votes
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15
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 for an octet, a kilobyte is $1000$ bytes, and a ... $384$ $\text{kilobytes}$ of data $1.544$ $\text{megabytes}$ of data $45.3$ $\text{megabytes of}$ data
asked Apr 11, 2019 in Set Theory & Algebra 42 views
0 votes
0 answers
16
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 20 views
0 votes
0 answers
17
0 votes
0 answers
19
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 25 views
0 votes
0 answers
20
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 29 views
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