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Search results for cmi2018
0
votes
1
answer
1
CMI-2018-DataScience-A: 5
$\text{Description for the following question:}$ If $Z$ is a continuous random variable which follows normal distribution with mean=$0$ and standard deviation=$1$, then $\mathbb{P}(Z\leq a)=\int^a _{-\infty} \frac{\exp\{\frac{-z^2}{2}\}}{\sqrt{2\pi}}dz=\Phi(a), $ ... .02 $\int^{18} _{-\infty} \frac{1}{\sqrt{2\pi .2^2}}\exp\{-\frac{1}{2}(\frac{x-24}{2})^2\}dx$
$\text{Description for the following question:}$If $Z$ is a continuous random variable which follows normal distribution with mean=$0$ and standard deviation=$1$, then$$\...
soujanyareddy13
585
views
soujanyareddy13
asked
Jan 29, 2021
Others
cmi2018-datascience
random-variable
probability
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0
votes
3
answers
2
CMI-2018-DataScience-A: 2
Let ... $|A|=|B|$ $|C|=|D|$ $|B|=-|C|$ $|A|=-|D|$
Let $A=\begin{bmatrix} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \end{bmatrix}, B=\begin{bmatrix} 1 & 4 & 7 \\ 2 & 5 & 8 \\ 3 & 6 & 9 \end{bmatrix}, C=\begin{bmatrix} 4 & 5 & 6...
soujanyareddy13
635
views
soujanyareddy13
asked
Jan 29, 2021
Others
cmi2018-datascience
matrix
linear-algebra
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0
votes
1
answer
3
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
883
views
soujanyareddy13
asked
Jan 29, 2021
Others
cmi2018-datascience
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0
votes
2
answers
4
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
910
views
soujanyareddy13
asked
Jan 29, 2021
Others
cmi2018-datascience
conditional-probability
probability
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0
votes
1
answer
5
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
320
views
soujanyareddy13
asked
Jan 29, 2021
Others
cmi2018-datascience
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0
votes
1
answer
6
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
520
views
soujanyareddy13
asked
Jan 29, 2021
Others
cmi2018-datascience
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1
votes
1
answer
7
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
392
views
soujanyareddy13
asked
Jan 29, 2021
Others
cmi2018-datascience
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0
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1
answer
8
CMI-2018-DataScience-B: 16
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 boolean value is a value from the set {$\text{True,False}$}. A $3$-ary boolean function is a ... $3$-ary boolean function $h$. How many neighbours does $h$ have?
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 boolea...
soujanyareddy13
372
views
soujanyareddy13
asked
Jan 29, 2021
Others
cmi2018-datascience
boolean-algebra
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0
votes
2
answers
9
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
345
views
soujanyareddy13
asked
Jan 29, 2021
Others
cmi2018-datascience
matrix
linear-algebra
discrete-mathematics
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2
votes
1
answer
10
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
246
views
soujanyareddy13
asked
Jan 29, 2021
Others
cmi2018-datascience
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0
votes
1
answer
11
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
349
views
soujanyareddy13
asked
Jan 29, 2021
Others
cmi2018-datascience
matrix
linear-algebra
discrete-mathematics
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0
votes
1
answer
12
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
528
views
soujanyareddy13
asked
Jan 29, 2021
Others
cmi2018-datascience
functions
discrete-mathematics
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0
votes
1
answer
13
CMI-2018-DataScience-B: 18
$\text{Description for the following question:}$ A golf club has $m$ members with serial numbers $1,2,\dots ,m$. If members with serial numbers $i$ and $j$ are friends, then $A(i,j)=A(j,i)=1,$ otherwise $A(i,j)=A(j,i)=0.$ ... Then which of the following are necessarily true? Give reasons. $A^2(i,i)>0$ for all $i,\;1\underline< i \underline < m.$
$\text{Description for the following question:}$A golf club has $m$ members with serial numbers $1,2,\dots ,m$. If members with serial numbers $i$ and $j$ are friends, th...
soujanyareddy13
242
views
soujanyareddy13
asked
Jan 29, 2021
Others
cmi2018-datascience
matrix
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–
0
votes
1
answer
14
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
276
views
soujanyareddy13
asked
Jan 29, 2021
Others
cmi2018-datascience
set-theory
discrete-mathematics
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0
votes
1
answer
15
CMI-2018-DataScience-B: 13
$\text{Description for the following question:}$ An Ice-cream company mainly operates in the five southern states of India. The pie chart shows the breakdown of revenues (in percentages) for the ice cream company over the last summer. The bar ... the detail of breakdown for strawberry flavor by states in lakhs of rupees. What are the total sales of the chocolate flavor?
$\text{Description for the following question:}$An Ice-cream company mainly operates in the five southern states of India. The pie chart shows the breakdown of revenues (...
soujanyareddy13
361
views
soujanyareddy13
asked
Jan 29, 2021
Others
cmi2018-datascience
pie-chart
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0
votes
1
answer
16
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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–
0
votes
1
answer
17
CMI-2018-DataScience-B: 14
$\text{Description for the following question:}$ An Ice-cream company mainly operates in the five southern states of India. The pie chart shows the breakdown of revenues (in percentages) for the ice cream company over the last summer. The bar charts ... in the same proportion across the five states, then what are the sales of chocolate in Tamil Nadu, in lakhs of rupees?
$\text{Description for the following question:}$ An Ice-cream company mainly operates in the five southern states of India. The pie chart shows the breakdown of revenues ...
soujanyareddy13
288
views
soujanyareddy13
asked
Jan 29, 2021
Others
cmi2018-datascience
pie-chart
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–
0
votes
1
answer
18
CMI-2018-DataScience-B: 10
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 number of ... credit than the bank loses the entire loan amount. What is the expected revenue of the bank from a loan of $Rs. 100,000?$
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{D...
soujanyareddy13
206
views
soujanyareddy13
asked
Jan 29, 2021
Others
cmi2018-datascience
probability
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–
0
votes
1
answer
19
CMI-2018-DataScience-B: 11
$\text{Description for the following question:}$ An Ice-cream company mainly operates in the five southern states of India. The pie chart shows the breakdown of revenues (in percentages) for the ice cream company over the last summer. The bar ... the detail of breakdown for strawberry flavor by states in lakhs of rupees. What are the total sales of the strawberry flavor?
$\text{Description for the following question:}$An Ice-cream company mainly operates in the five southern states of India. The pie chart shows the breakdown of revenues (...
soujanyareddy13
301
views
soujanyareddy13
asked
Jan 29, 2021
Others
cmi2018-datascience
pie-chart
+
–
0
votes
1
answer
20
CMI-2018-DataScience-B: 12
$\text{Description for the following question:}$ An Ice-cream company mainly operates in the five southern states of India. The pie chart shows the breakdown of revenues (in percentages) for the ice cream company over the last summer. The bar ... detail of breakdown for strawberry flavor by states in lakhs of rupees. What is the total revenue of the ice cream company?
$\text{Description for the following question:}$An Ice-cream company mainly operates in the five southern states of India. The pie chart shows the breakdown of revenues (...
soujanyareddy13
247
views
soujanyareddy13
asked
Jan 29, 2021
Others
cmi2018-datascience
pie-chart
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