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Recent questions tagged cmi2020-datascience
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1
CMI-2020-DataScience-A: 1
Consider the following program. Assume that $x$ and $y$ are integers. f(x, y) { if (y != 0) return (x * f(x,y-1)); else return 1; } What is $f(6,3)?$ $243$ $729$ $125$ $216$
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Algorithms
Jan 29, 2021
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soujanyareddy13
494
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cmi2020-datascience
algorithms
recursion
identify-function
0
votes
1
answer
2
CMI-2020-DataScience-A: 2
Consider the matrices ... of the following hold true? $|A|=|B|$ $\text{trace}(A)=\text{trace}(B)$ $|A|=-|B|$ $\text{trace}(AB)=\text{trace}(BA)$
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Jan 29, 2021
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190
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cmi2020-datascience
0
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1
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3
CMI-2020-DataScience-A: 3
Consider the following program. Assume that all variables are integers. Note that $x\%y$ computes the remainder after dividing $x$ and $y$. The division is an integer division. For example, $1/3$ will return zero while $10/3$ will return $3$. g(n) { result = 0; i = ... = result+(remainder*i); i = i * 10; } return result; } What is $g(25)?$ $11001$ $10011$ $11011$ $10101$
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Jan 29, 2021
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201
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cmi2020-datascience
0
votes
1
answer
4
CMI-2020-DataScience-A: 4
Which of the following limits are correct? $\displaystyle \lim_{x\rightarrow 0} \frac{x^2+2x}{2x}=1$ $\displaystyle \lim_{x\rightarrow 1/2 }\frac{2x^2+x-1}{2x-1}=\frac{3}{2}$ $\displaystyle \lim_{x\rightarrow \infty } 18x^3 – 12x^2 +1=\infty$ $\displaystyle \lim_{x\rightarrow -\infty} 8x^3 – 12x^2 +1=-\infty$
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Others
Jan 29, 2021
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soujanyareddy13
153
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cmi2020-datascience
0
votes
1
answer
5
CMI-2020-DataScience-A: 5
As per the data released by the US Department of Health, Education and Welfare, the number of Ph.D. degrees conferred in Earth Sciences from the year $1948$ to $1954$ is as given in Table $5$ ... average is an average of a subset of data points. Choose the best answer. $900$ $9,000$ $9,00,000$ $90,00,000$
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Jan 29, 2021
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soujanyareddy13
254
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cmi2020-datascience
0
votes
1
answer
6
CMI-2020-DataScience-A: 6
Suppose that $A$ is an $n \times n$ matrix with $n=10$ and $b$ is an $n \times 1$ vector. Suppose that the equation $Ax=b$ for an $n \times 1$ vector does not admit any solution. Which of the following conclusions can be drawn from the given ... $Ax = c$ also does not admit a solution. Then the vector $c$ is a constant multiple of the vector $b$
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Jan 29, 2021
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soujanyareddy13
137
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cmi2020-datascience
1
vote
2
answers
7
CMI-2020-DataScience-A: 7
Consider the following bar chart: Which of the following are true? Number of students who scored $A$ in Algebra is higher than the number of students who scored $A$ in Calculus Percentage of students who scored $A$ or $B$ in algebra is lower ... $B$ in calculus Calculus is easier than algebra Considering this data, the average percentage of students scoring $A$ is $12\%$
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Quantitative Aptitude
Jan 29, 2021
by
soujanyareddy13
214
views
cmi2020-datascience
bar-graph
data-interpretation
0
votes
1
answer
8
CMI-2020-DataScience-A: 8
Let $A=((a_{ij}))$ be a $7\times7$ matrix with $a_{i,i+1}=1$ for $1\leq i \leq 6$, $a_{7,1}=1$ and all the other elements of the matrix are zero. Which of the following statements are true? $|A|=1$ $\text{trace(A)}=0$ $A^{-1}=A$ $A^7 =I$, where $I$ is the identity matrix
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Others
Jan 29, 2021
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soujanyareddy13
91
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cmi2020-datascience
0
votes
1
answer
9
CMI-2020-DataScience-A: 9
Let $A$ and $B$ be events such that $P(A)=0.4, P(B)=0.5$ and $P(A\cup B)=0.7$. Which of the following are true? (For sets $A,B,A\Delta B=(A^c\cap B)\cup (A\cap B^c))$. $A$ and $B$ are mutually exclusive $A$ and $B$ are independent $P(A\Delta B)= 0.1$ $P(A^c \cup B^c)=0.8$
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Others
Jan 29, 2021
by
soujanyareddy13
81
views
cmi2020-datascience
0
votes
1
answer
10
CMI-2020-DataScience-A: 10
$\text{Description for the following question:}$ The lifespan of a battery in a car follows Gamma distribution with probability density function $f(x)=\frac{\beta^\alpha }{\Gamma(\alpha) } e^{-\beta x}x^{\alpha -1}, 0<x< \infty ,$ where $\alpha >0$ ... $\mathbb E(X^2 )= \frac {\alpha}{\beta}(\frac {1+\alpha}{\beta })$ $\mathbb E(X^2 )=18$
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Others
Jan 29, 2021
by
soujanyareddy13
161
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cmi2020-datascience
0
votes
1
answer
11
CMI-2020-DataScience-A: 11
Out of a large number of cars produced by the automaker, the percentage of batteries that will last for more than $8$ years is $[ \int^8_0 \frac{\beta^{\alpha}}{\Gamma (\alpha)} e^{-\beta x} x^{\alpha -1} dx ] \times 100\%$ ... $[ \int^8_0 \frac{x \beta^{\alpha}}{\Gamma (\alpha)} e^{-\beta x} x^{\alpha -1} dx ] \times 100\%$
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Others
Jan 29, 2021
by
soujanyareddy13
95
views
cmi2020-datascience
0
votes
1
answer
12
CMI-2020-DataScience-A: 12
How many squares are there on a $7\times 7$ chessboard? $49$ $204$ $203$ $140$
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Others
Jan 29, 2021
by
soujanyareddy13
99
views
cmi2020-datascience
0
votes
1
answer
13
CMI-2020-DataScience-A: 13
It is mid-semester exam week at $CMI$ and first-year students from both $M.Sc.$ Data Science $(DS)$ and $M.Sc.$ Computer Science $(CS)$ have their exams scheduled for Monday from $10$ a.m. to $1$ p.m. in Lecture Hall $1$. The first row in Lecture ... in this row, in such a way that two students from the same course do not sit next to each other? $36$ $48$ $72$ $96$
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Others
Jan 29, 2021
by
soujanyareddy13
110
views
cmi2020-datascience
0
votes
1
answer
14
CMI-2020-DataScience-A: 14
Suppose you roll two six-sided fair dice with faces numbered from $1$ to $6$ and take the sum of the two numbers that turn up. What is the probability that: the sum is $12;$ the sum is $12$, given that the sum is even; the sum is $12$, given that the sum is an ... $\frac {1}{14}$, respectively $\frac {1}{36}, \frac {1}{16} $, and $\frac {1}{12}$, respectively
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Others
Jan 29, 2021
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soujanyareddy13
127
views
cmi2020-datascience
probability
dice-rolling
0
votes
1
answer
15
CMI-2020-DataScience-A: 15
Let $f(x)$ be a real-valued function all of whose derivatives exist. Recall that a point $x_0$ in the domain is called an inflection point of $f(x)$ if the second derivative $f^ (x) $ changes sign at $x_0$ ... $x_0 =0$ and $x_0 =6$, both are inflection points The function does not have an inflection point
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Others
Jan 29, 2021
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soujanyareddy13
93
views
cmi2020-datascience
0
votes
1
answer
16
CMI-2020-DataScience-A: 16
Which of the following are true? $\frac {2019}{2020} < \frac {2020}{2021}$ $x+\frac{1}{x} \geq 2$ for all $x>0$ $2^{60} >5^{24}$ $2^{314} <31^{42}$
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Others
Jan 29, 2021
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soujanyareddy13
118
views
cmi2020-datascience
0
votes
1
answer
17
CMI-2020-DataScience-A: 17
The identity $\frac{1}{(1-2r)}=\displaystyle\sum^{\infty} _{k=0} (2r)^k $ is true if and only if $r\neq \frac{1}{2}$ if and only if $0\leq r < \frac{1}{2}$ if and only if $-\frac{1}{2} \leq r<\frac{1}{2}$ if and only if $-\frac{1}{2}<r<\frac{1}{2}$
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Others
Jan 29, 2021
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soujanyareddy13
88
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cmi2020-datascience
0
votes
2
answers
18
CMI-2020-DataScience-A: 18
The sum and product of the roots of the polynomial $9x^2+171x-81$ are, respectively: $-19$ and $-9$ $19$ and $9$ $-9$ and $19$ $9$ and $-19$
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Others
Jan 29, 2021
by
soujanyareddy13
114
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cmi2020-datascience
1
vote
1
answer
19
CMI-2020-DataScience-A: 19
Choose the conclusions that follow logically from the statements given below. Nobody who really appreciates A.R.Rahman fails to subscribe to his YouTube channel. Owls are hopelessly ignorant of music. No one who is hopelessly ignorant of music ever ... are not really appreciated by A.R.Rahman Anyone who really appreciates A.R.Rahman is not hopelessly ignorant of music
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Others
Jan 29, 2021
by
soujanyareddy13
115
views
cmi2020-datascience
0
votes
1
answer
20
CMI-2020-DataScience-A: 20
Which of the following inequalities are true? $e^x\geq(1+x)$ for $x\geq 0$ $e^x\leq(1+x)$ for $x<0$ $\text{In}(x)<(1+x)$ for $x>0$ $e^x<x^2$ for all real numbers $x$
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Others
Jan 29, 2021
by
soujanyareddy13
80
views
cmi2020-datascience
1
vote
1
answer
21
CMI-2020-DataScience-B: 1
For any string $\text{str, length(str)}$ returns the length of the string, $\text{append(str1, str2)}$ concatenates $\text{str1}$ with another string $\text{str2}$, and $\text{trim(str)}$ removes any spaces that exist at the end of the string $\text{str}$ ... 1) { if(str[i] is ' ') { reverse(str, j, i-1); j = i + 1; } } trim(str); return str; }
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Algorithms
Jan 29, 2021
by
soujanyareddy13
225
views
cmi2020-datascience
algorithms
identify-function
1
vote
2
answers
22
CMI-2020-DataScience-B: 2
Consider the matrix $A=\begin{pmatrix} 0 & -1 \\ 1 & 0 \end{pmatrix}$. Find $A^n,$ in terms of $n,$ for $n\geq2.$
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in
Linear Algebra
Jan 29, 2021
by
soujanyareddy13
400
views
cmi2020-datascience
linear-algebra
matrix
descriptive
1
vote
1
answer
23
CMI-2020-DataScience-B: 3
The following graph shows the performance of students in an exam. The marks scored by every student are a multiple of five. The $j^{th}$-percentile $u^*$ for a discrete data $x_1,x_2, ,x_n$ ... in the graph, answer the following questions. Compute the $10^{th}$ percentile of marks. Is the median score higher than the mean score?
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Quantitative Aptitude
Jan 29, 2021
by
soujanyareddy13
199
views
cmi2020-datascience
line-graph
data-interpretation
2
votes
1
answer
24
CMI-2020-DataScience-B: 4
In the figure shown below, the circle has diameter $5$. Moreover, $AB$ is parallel to $DE.$ If $DE=3$ and $AB=6,$ what is the area of triangle $ABC?$
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Quantitative Aptitude
Jan 29, 2021
by
soujanyareddy13
187
views
cmi2020-datascience
geometry
triangle
1
vote
1
answer
25
CMI-2020-DataScience-B: 5
A permutation $\sigma$ is a bijection from the set $[n]=\{1,2,\dots ,n\}$ to itself. We denote it using the notation $\begin{pmatrix}1 & 2 & & n \\ {\sigma(1)} & {\sigma(2)} &\dots & {\sigma(n)} \end{pmatrix},$ ...
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Others
Jan 29, 2021
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soujanyareddy13
170
views
cmi2020-datascience
combinatory
0
votes
1
answer
26
CMI-2020-DataScience-B: 6
A permutation $\sigma$ is a bijection from the set $[n]=\{1,2, ,n\}$ to itself. We denote it using the notation $\begin{pmatrix}1 & 2 & & n \\ {\sigma(1)} & {\sigma(2)} & & {\sigma(n)} \end{pmatrix},$ e.g. ... $|A_{\sigma} |$ and $|A_\tau|?$ Can you relate these with the signs of permutations $\sigma$ and $\tau ?$
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Others
Jan 29, 2021
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soujanyareddy13
127
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cmi2020-datascience
combinatory
0
votes
1
answer
27
CMI-2020-DataScience-B: 7
The case fatality rate ($CFR$) of a disease is the ratio of the number of deaths from the disease to the total number of people diagnosed with the disease ( patients ), and is usually expressed as a percentage. It has been reported that the ... an elderly Pandamic-$20$ patient in Gondwanaland survives the disease if they were put on a ventilator as part of the treatment?
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Others
Jan 29, 2021
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soujanyareddy13
130
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cmi2020-datascience
0
votes
2
answers
28
CMI-2020-DataScience-B: 8
Owing to a defect in a certain machine which makes $N95$ masks, there is a $0.1\%$ probability that a mask it makes is $\text{not}$ effective in preventing airbone viruses from being inhaled. What is the probability that the first $1000$ masks that ... among the first one crore $(10^7)$ masks that the machine produces, there is at least one mask which is not effective?
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Others
Jan 29, 2021
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soujanyareddy13
177
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cmi2020-datascience
0
votes
1
answer
29
CMI-2020-DataScience-B: 9
The International Chess Federation is organizing an online chess tournament in which $20$ of the world's top players will take part. Each player will play exactly one game against each other player. The tournament is spread over three weeks; it starts ... there are at least two players who would have completed the same number of games in the tournament till that point.
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Others
Jan 29, 2021
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soujanyareddy13
112
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cmi2020-datascience
0
votes
1
answer
30
CMI-2020-DataScience-B: 10
Your class has a textbook and a final exam. Let $P,Q$ and $R$ be the following propositions: $P:$ You get an $A$ on the final exam. $Q:$ You do every exercise in the book. $R:$ You get an $A$ in the class. Translate the following assertions into ... . You get an $A$ on the final, but you don't do every exercise in this book; nevertheless, you get an $A$ in this class.
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Jan 29, 2021
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