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1471
CMI-2018-DataScience-A: 9
$\text{Description for the following question:}$ Given below is the time table for a transcontinental train cutting across several time zones. All times given below are local time in respective cities. It is given that the average speed between any two cities is the ... Write down the total time taken in minutes by the train to go from Zut to Raz.
$\text{Description for the following question:}$Given below is the time table for a transcontinental train cutting across several time zones. All times given below are lo...
soujanyareddy13
205
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soujanyareddy13
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Jan 29, 2021
Others
cmi2018-datascience
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1472
CMI-2018-DataScience-A: 10
$\text{Description for the following question:}$ Given below is the time table for a transcontinental train cutting across several time zones. All times given below are local time in respective cities. It is given that the average speed between any two cities is the same for ... $12:00$ noon at Zut.
$\text{Description for the following question:}$Given below is the time table for a transcontinental train cutting across several time zones. All times given below are lo...
soujanyareddy13
149
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soujanyareddy13
asked
Jan 29, 2021
Others
cmi2018-datascience
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0
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0
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1473
CMI-2018-DataScience-A: 11
$\text{Description for the following question:}$ Given below is the time table for a transcontinental train cutting across several time zones. All times given below are local time in respective cities. It is given that the average speed between any two cities is the same for ... $12:00$ noon at Raz.
$\text{Description for the following question:}$Given below is the time table for a transcontinental train cutting across several time zones. All times given below are lo...
soujanyareddy13
164
views
soujanyareddy13
asked
Jan 29, 2021
Others
cmi2018-datascience
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0
votes
2
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1474
CMI-2018-DataScience-A: 12
In an entrance examination with multiple choice questions, with each question having four options and a single correct answer, suppose that only $20\%$ candidates think they know the answer to one difficult question and only half of them know it ... same. If a candidate has correctly answered the question, what is the (conditional) probability that she knew the answer?
In an entrance examination with multiple choice questions, with each question having four options and a single correct answer, suppose that only $20\%$ candidates think t...
soujanyareddy13
925
views
soujanyareddy13
asked
Jan 29, 2021
Others
cmi2018-datascience
conditional-probability
probability
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0
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1
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1475
CMI-2018-DataScience-A: 13
There are $n$ songs segregated into $3$ play lists. Assume that each play list has at least one song.The number of ways of choosing three songs consisting of one song from each play list is: $>\frac{n^3}{27}$ for all $n$ $\leq \frac{n^3}{27}$ for all $n$ $\left( \begin{array}{c} n \\ 3 \end{array} \right)$ for all $n$ $n^3$ for all $n$
There are $n$ songs segregated into $3$ play lists. Assume that each play list has at least one song.The number of ways of choosing three songs consisting of one song fro...
soujanyareddy13
894
views
soujanyareddy13
asked
Jan 29, 2021
Others
cmi2018-datascience
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0
votes
1
answer
1476
CMI-2018-DataScience-A: 14
Consider the following functions defined from the interval $(0,1)$ to real numbers. Which of these functions attain their maximum value in the interval $(0,1)?$ $f(x)=\frac{1}{x(1-x)}$ $g(x)=-(x-0.75)^2$ $u(x)=\sin(\frac{\pi x}{2})$ $v(x)=x^2+2x$
Consider the following functions defined from the interval $(0,1)$ to real numbers. Which of these functions attain their maximum value in the interval $(0,1)?$$f(x)=\fra...
soujanyareddy13
534
views
soujanyareddy13
asked
Jan 29, 2021
Others
cmi2018-datascience
functions
discrete-mathematics
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0
votes
1
answer
1477
CMI-2018-DataScience-A: 15
A farmer owns $50$ papaya trees. Each tree produces $600$ papayas in a year. For each additional tree planted in the orchard, the output of each tree (including the pre-existing ones) drops by $5$ papayas. How many trees should be added to the existing orchard in order to maximize the total production of papayas?
A farmer owns $50$ papaya trees. Each tree produces $600$ papayas in a year. For each additional tree planted in the orchard, the output of each tree (including the pre-e...
soujanyareddy13
529
views
soujanyareddy13
asked
Jan 29, 2021
Others
cmi2018-datascience
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1
votes
1
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1478
CMI-2018-DataScience-A: 16
Let $a,b$ be numbers between $1$ and $2$ and let $c,d$ be numbers between $3$ and $4$. Let $u=a^{-1},v=b^{-1},w=c^{-1}$ and $x=d^{-1}$. Say which of the following inequalities are true: $(a+b+c+d)(u+v+w+x)>16$ $(a^4+b^4+c^4+d^4)\leq 4abcd$ $(a^2+b^2)wx\leq (c^2+d^2)uv$ $d(a^3+b^3+c^3)<3abc$
Let $a,b$ be numbers between $1$ and $2$ and let $c,d$ be numbers between $3$ and $4$. Let $u=a^{-1},v=b^{-1},w=c^{-1}$ and $x=d^{-1}$. Say which of the following inequal...
soujanyareddy13
400
views
soujanyareddy13
asked
Jan 29, 2021
Others
cmi2018-datascience
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0
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0
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1479
CMI-2018-DataScience-A: 17
In the code fragment below, $\text{start}$ and $\text{end}$ are integer values and $\text{square(x)}$ is a function that returns $\text{Ture}$ if $\text{x}$ is a perfect square and $\text{False}$ otherwise. i := 0; j := 0; k :=0; for m in [start,start+1,...,end] ... $\text{j = k-i if (end - start)}$ is even $\text{i = k-j if (end - start)}$ is odd
In the code fragment below, $\text{start}$ and $\text{end}$ are integer values and $\text{square(x)}$ is a function that returns $\text{Ture}$ if $\text{x}$ is a perfect ...
soujanyareddy13
267
views
soujanyareddy13
asked
Jan 29, 2021
Others
cmi2018-datascience
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0
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1
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1480
CMI-2018-DataScience-A: 18
Given the following definition of the function $foo$, what does $foo(1037,2)$ return? Note that $a//b$ denotes the quotient (integer part) of $a\div b$, for integers $a$ and $b$. For instance $7//3$ is $2$. function foo(n,d) { x:=0; while(n>=1) { x:=x+1; n:=n//d; } return(x); }
Given the following definition of the function $foo$, what does $foo(1037,2)$ return? Note that $a//b$ denotes the quotient (integer part) of $a\div b$, for integers $a$ ...
soujanyareddy13
323
views
soujanyareddy13
asked
Jan 29, 2021
Others
cmi2018-datascience
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0
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1481
CMI-2018-DataScience-A: 19
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet three inhabitants: Ramesh, Bharath and Menaka. Ramesh claims, Bharat is a knave. Bharat says, Menaka and I are both ... correct? Bharat is a knave Ramesh is a knight Exactly two of the three are knaves Exactly two of the three are knights
A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet three inhabitants: Ramesh, Bharath and Menak...
soujanyareddy13
841
views
soujanyareddy13
asked
Jan 29, 2021
Others
cmi2018-datascience
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2
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1
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1482
CMI-2018-DataScience-A: 20
There are $7$ switches on a switchboard, some of which are $on$ and some of which are $off$. In one move, you pick any $2$ switches and toggle each of them-if the switch you pick is currently $off$, you turn it $on$, if it is $on$, you turn it $off$. Your aim is ... $\text{(off,on,on,on,off,on,off)}$ $\text{(off,on,off,off,on,off,on)}$ $\text{(off,on,off,off,off,on,off)}$
There are $7$ switches on a switchboard, some of which are $on$ and some of which are $off$. In one move, you pick any $2$ switches and toggle each of them—if the switc...
soujanyareddy13
248
views
soujanyareddy13
asked
Jan 29, 2021
Others
cmi2018-datascience
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0
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1
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1483
CMI-2018-DataScience-B: 1
For numerical answers, the following forms are acceptable: fractions, decimals, symbolic e.g.:$\left( \begin{array}{c} n \\ r \end{array} \right)^n P_r , n!$ etc. Let $N=\{1,2,3,...\}$ be the set of natural integers and let $f:N\times N \mapsto N$ be defined by $f(m,n)=(2m-1)*2^n.$Is $f$ injective? Is $f$ surjective? Give reasons.
For numerical answers, the following forms are acceptable: fractions, decimals, symbolic e.g.:$\left( \begin{array}{c} n \\ r \end{array} \right)^n P_r , n!$ etc.Let $N=\...
soujanyareddy13
218
views
soujanyareddy13
asked
Jan 29, 2021
Others
cmi2018-datascience
discrete-mathematics
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0
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2
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1484
CMI-2018-DataScience-B: 2
For numerical answers, the following forms are acceptable: fractions, decimals, symbolic e.g.:$\left( \begin{array}{c} n \\ r \end{array} \right)^n P_r , n!$ etc. Suppose $A,B$ and $C$ are $m\times m$ matrices. What does the following algorithm compute? (Here $A(i,j)$ ... .) for i=1 to m for j=1 to m for k=1 to m C(i,j)=A(i,k)*B(k,j)+C(i,j) end end end
For numerical answers, the following forms are acceptable: fractions, decimals, symbolic e.g.:$\left( \begin{array}{c} n \\ r \end{array} \right)^n P_r , n!$ etc.Suppose ...
soujanyareddy13
352
views
soujanyareddy13
asked
Jan 29, 2021
Others
cmi2018-datascience
matrix
linear-algebra
discrete-mathematics
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0
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1
answer
1485
CMI-2018-DataScience-B: 3
For numerical answers, the following forms are acceptable: fractions, decimals, symbolic e.g.:$\left( \begin{array}{c} n \\ r \end{array} \right)^n P_r , n!$ etc. Find $A^{10}$ where $A$ is the matrix $\begin{bmatrix} 1 & 1 & 0 \\ 0 & 1 & 1 \\ 0 & 0 & 1 \end{bmatrix}$. Justify your answer.
For numerical answers, the following forms are acceptable: fractions, decimals, symbolic e.g.:$\left( \begin{array}{c} n \\ r \end{array} \right)^n P_r , n!$ etc.Find $A^...
soujanyareddy13
175
views
soujanyareddy13
asked
Jan 29, 2021
Others
cmi2018-datascience
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0
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1
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1486
CMI-2018-DataScience-B: 4
For numerical answers, the following forms are acceptable: fractions, decimals, symbolic e.g.:$\left( \begin{array}{c} n \\ r \end{array} \right)^n P_r , n!$ etc. In computing, a floating point operation (flop) is any one of the following operations ... . How does this number change if both the matrices are upper triangular?
For numerical answers, the following forms are acceptable: fractions, decimals, symbolic e.g.:$\left( \begin{array}{c} n \\ r \end{array} \right)^n P_r , n!$ etc.In compu...
soujanyareddy13
353
views
soujanyareddy13
asked
Jan 29, 2021
Others
cmi2018-datascience
matrix
linear-algebra
discrete-mathematics
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0
votes
1
answer
1487
CMI-2018-DataScience-B: 5
For numerical answers, the following forms are acceptable: fractions, decimals, symbolic e.g.:$\left( \begin{array}{c} n \\ r \end{array} \right)^n P_r , n!$ etc. A function $f$ from the set $A$ to itself is said to have a fixed point if $f(i)=i$ ... $A$ is the set $\{a,b,c,d\}$. Find the number of bijective functions from the set $A$ to itself having no fixed point.
For numerical answers, the following forms are acceptable: fractions, decimals, symbolic e.g.:$\left( \begin{array}{c} n \\ r \end{array} \right)^n P_r , n!$ etc.A functi...
soujanyareddy13
279
views
soujanyareddy13
asked
Jan 29, 2021
Others
cmi2018-datascience
set-theory
discrete-mathematics
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0
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1
answer
1488
CMI-2018-DataScience-B: 6
For numerical answers, the following forms are acceptable: fractions, decimals, symbolic e.g.:$\left( \begin{array}{c} n \\ r \end{array} \right)^n P_r , n!$ etc. A $4$-digit number is represented as $abcd$ ... $a\neq0.$ Suppose the number $dcba$, obtained by reversing the digits of $abcd$, is $9$ times $abcd$. Find the number $abcd$.
For numerical answers, the following forms are acceptable: fractions, decimals, symbolic e.g.:$\left( \begin{array}{c} n \\ r \end{array} \right)^n P_r , n!$ etc.A $4$-di...
soujanyareddy13
150
views
soujanyareddy13
asked
Jan 29, 2021
Others
cmi2018-datascience
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0
votes
1
answer
1489
CMI-2018-DataScience-B: 7
For numerical answers, the following forms are acceptable: fractions, decimals, symbolic e.g.:$\left( \begin{array}{c} n \\ r \end{array} \right)^n P_r , n!$ etc. A computer password requires you to use exactly $1$ uppercase letter, $3$ ... $33$ special characters that can be used). In how many ways can you create such a password$?$
For numerical answers, the following forms are acceptable: fractions, decimals, symbolic e.g.:$\left( \begin{array}{c} n \\ r \end{array} \right)^n P_r , n!$ etc.A comput...
soujanyareddy13
202
views
soujanyareddy13
asked
Jan 29, 2021
Others
cmi2018-datascience
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0
votes
1
answer
1490
CMI-2018-DataScience-B: 8
For numerical answers, the following forms are acceptable: fractions, decimals, symbolic e.g.:$\left( \begin{array}{c} n \\ r \end{array} \right)^n P_r , n!$ etc. $\text{Description for the following question:}$ Suppose $X$ is the ... credit default in a year. You can assume that whether a given debtor will default or not is independent of the behavior of other debtors.
For numerical answers, the following forms are acceptable: fractions, decimals, symbolic e.g.:$\left( \begin{array}{c} n \\ r \end{array} \right)^n P_r , n!$ etc. $\text{...
soujanyareddy13
247
views
soujanyareddy13
asked
Jan 29, 2021
Others
cmi2018-datascience
probability
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