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0
votes
31
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?
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May 8, 2021
136
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cmi2018-datascience
pie-chart
0
votes
32
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?
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in
Others
May 8, 2021
159
views
cmi2018-datascience
pie-chart
0
votes
33
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?
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in
Others
May 8, 2021
130
views
cmi2018-datascience
pie-chart
0
votes
34
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?
answered
in
Others
May 8, 2021
134
views
cmi2018-datascience
pie-chart
0
votes
35
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 $Rs. 100,000?$
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May 8, 2021
141
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cmi2018-datascience
probability
0
votes
36
CMI-2018-DataScience-B: 9
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 ... expected number of success is $\mathbb{E}(X)=np$. For the situation in the previous problem, what is the expected number defaults?
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May 8, 2021
131
views
cmi2018-datascience
probability
0
votes
37
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.
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May 8, 2021
147
views
cmi2018-datascience
probability
0
votes
38
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$?$
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May 8, 2021
110
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cmi2018-datascience
0
votes
39
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 $abcd$.
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May 8, 2021
90
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cmi2018-datascience
0
votes
40
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.
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May 8, 2021
168
views
cmi2018-datascience
set-theory
discrete-mathematics
0
votes
41
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?
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May 8, 2021
201
views
cmi2018-datascience
matrix
linear-algebra
discrete-mathematics
0
votes
42
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.
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May 8, 2021
106
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cmi2018-datascience
0
votes
43
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
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May 8, 2021
204
views
cmi2018-datascience
matrix
linear-algebra
discrete-mathematics
0
votes
44
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.
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May 8, 2021
120
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cmi2018-datascience
discrete-mathematics
0
votes
45
CMI-2019-DataScience-B: 18
$\text{Description of the following question:}$ The break-up of the colour of cars sold by an Indian company in a given year is provided in the pie-chart, see the Figure(1). The bar chart shows the number of grey coloured cars sold in ... cars were sold in Chennai. What is the largest possible percentage of brown cars sold in Chennai, rounded off to the nearest integer?
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May 8, 2021
88
views
cmi2019-datascience
0
votes
46
CMI-2019-DataScience-B: 17
$\text{Description of the following question:}$ The break-up of the colour of cars sold by an Indian company in a given year is provided in the pie-chart, see the Figure(1). The bar chart shows the number of grey coloured cars sold in different cities ... grey cars sold in Delhi is the same as the proportion of red cars sold in Delhi, how many red cars were sold in Delhi?
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May 8, 2021
67
views
cmi2019-datascience
0
votes
47
CMI-2019-DataScience-B: 16
$\text{Description of the following question:}$ The break-up of the colour of cars sold by an Indian company in a given year is provided in the pie-chart, see the Figure(1). The bar chart shows the number of grey coloured cars sold in different cities, see the Figure(2). How many blue cars were sold in that year?
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May 8, 2021
59
views
cmi2019-datascience
0
votes
48
CMI-2019-DataScience-B: 15
Consider the following pseudocode for a function that operates on an $N$ element array $A[1],A[2],\dots,A[N]$ of integers. function mystery (A[1...N]) { int i,j,position,tmp; for i=1 to N { position=i; for j=i+1 to N { if(A[j]<A[ ... Explain what effect the function has on the input array $A$. If $N=100$, how many times is the comparison $A[i]<A[position]$ checked?
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May 8, 2021
73
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cmi2019-datascience
0
votes
49
CMI-2019-DataScience-B: 14
A thief picks a wallet and starts running at a speed of $5\; m/s$ with zero acceleration. In $5$ seconds, a policewoman notices the alarm and starts following the thief with a speed of $3\; m/s$ with a uniform acceleration of $1\; m/s^2$. How many seconds ... $v_0$ m/s and uniform acceleration $a\; m/s^2$ will cover a distance of $(at^2/2+v_0t)$ meters in $t$ seconds.)
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May 8, 2021
72
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cmi2019-datascience
0
votes
50
CMI-2019-DataScience-B: 13
How many positive integers are factors of 2310?
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May 8, 2021
54
views
cmi2019-datascience
0
votes
51
CMI-2019-DataScience-B: 12
Let $n,k$ be positive integers. The expansion of $(x_1+\dots+x_k)^n$ is given by $(x_1+\dots+x_k)^n=\sum\frac{n!}{n_1!n_2!\dots n_k!}x_1^{n_1}x_2^{n_2}\dots x_k^{n_k},$ where the sum is taken over all sequences $n_1,n_2,\dots,n_k$ of non-negative integers such that $n_1,n_2+\dots+n_k=n$. What is the coefficient of $x^5$ in the expansion of $(1+3x+2x^2)^4$?
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May 8, 2021
58
views
cmi2019-datascience
0
votes
52
CMI-2019-DataScience-B: 11
A thin piece of metal of length $20$ cm and width $16$ cm is to be used to construct an open-topped box. A square will be cut from each corner and the sides will be folded up. What size corner should be cut so that the volume of the box is maximized?
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May 8, 2021
63
views
cmi2019-datascience
0
votes
53
CMI-2019-DataScience-B: 10
Let $p(x)$ be a polynomial with integer coefficients. Let $n$ be a positive integer and suppse $a$ and $b$ are two integers such that $a \equiv b(\text{mod}\;n)$. Is it true that $p(a)\equiv p(b)(\text{mod}\;n)$? Justify your answer.
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May 8, 2021
62
views
cmi2019-datascience
0
votes
54
CMI-2019-DataScience-B: 9
Show that among any set of $7$ distinct integers there must exist $2$ integers whose sum or difference is divisible by $10$.
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May 8, 2021
79
views
cmi2019-datascience
0
votes
55
CMI-2019-DataScience-B: 8
A small circular fire is spreading with its radius increasing at the rate of $1.5$ meters per minute. When the radius of the fire is $5$ metres, how fast is the burned area growing?
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May 8, 2021
65
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cmi2019-datascience
0
votes
56
CMI-2019-DataScience-B: 7
Ani is training for the olympics with Usain Bolt. After a few days of training Usain challenges Ani to catch him. Usain sets off running very slowly with a view to encourage Ani. He covers $\text{70m}$ the first minute, $\text{100m}$ the ... at an integral multiple of a minute. How many minutes did Ani run before catching up with Usain. What were their respective speeds?
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May 8, 2021
153
views
cmi2019-datascience
0
votes
57
CMI-2019-DataScience-B: 6
Let $\theta=\log_e(2).$ For $-\theta\leq x\leq\theta,$ let $f(x)=\frac{\exp(x)}{1+\exp(x)}$. Compute $\alpha$ and $\beta$ where $\alpha=\displaystyle \max_{-\theta\leq x\leq\theta}f(x)\;\text{and}\; \beta=\displaystyle \min_{-\theta\leq x\leq\theta}f(x).$ Justify your answers.
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May 8, 2021
60
views
cmi2019-datascience
0
votes
58
CMI-2019-DataScience-B: 5
If the lines $2x+y=2,-5x+3y=4$ and $ax+by=1$ are concurrent then prove that the line $9x-10y=1$ passes through $(a,b).$
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May 8, 2021
47
views
cmi2019-datascience
0
votes
59
CMI-2019-DataScience-B: 4
Four friends attending an opera leave their coats at the checkroom. When they return each one is handed a coat that does not belong to her. In how many ways can this happen?
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May 8, 2021
122
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cmi2019-datascience
0
votes
60
CMI-2019-DataScience-B: 3
Suppose $X$ is a continuous distribution with probability density function $f(x)=k(x-x^2),\;0\leq x\leq 1,$ where $k$ is the normalizing constant. Find the value of $k$ and the expected value of the distribution.
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May 8, 2021
86
views
cmi2019-datascience
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