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1265
CMI-2022-DataScience-A: 3
Which of the following statements is/are true? For any real number $r$ with $|r|>1, \displaystyle{}\lim _{n \rightarrow \infty} \sum_{i=1}^{n} 17 r^{n}=\frac{17}{1-r}$. Let $i$ be the positive square root of $-1$ and let $x$ be any real number ... is a probability density function.
Which of the following statements is/are true?For any real number $r$ with $|r|>1, \displaystyle{}\lim _{n \rightarrow \infty} \sum_{i=1}^{n} 17 r^{n}=\frac{17}{1-r}$.Let...
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1267
CMI-2022-DataScience-A: 5
Let $A, B$ be $n \times n$ invertible matrices of real numbers. Let $C=I+A A^{T}, D=I+B A A^{T} B^{T}$. We can conclude that $(A B)^{-1}=\left(I+B^{-1} A^{-1}\right)$ $(A B)^{-1}=A^{-1} B^{-1}$ $C=C^{T}$ $D=D^{T}$
Let $A, B$ be $n \times n$ invertible matrices of real numbers. Let $C=I+A A^{T}, D=I+B A A^{T} B^{T}$. We can conclude that$(A B)^{-1}=\left(I+B^{-1} A^{-1}\right)$$(A B...
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1271
CMI-2022-DataScience-A: 9
In order to select a debating team to represent a school, $7$ students from class XII and $13$ students from class XI were shortlisted and were undergoing trials. The coach had to select a team of $5$ students, out of which at least two students should be from each ...
In order to select a debating team to represent a school, $7$ students from class XII and $13$ students from class XI were shortlisted and were undergoing trials. The coa...
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1272
CMI-2022-DataScience-A: 10
Which of the following plots correspond to a function whose derivative is continuous? (i) and (ii) (ii) and (iii) (iii) and (iv) (ii) and (iv)
Which of the following plots correspond to a function whose derivative is continuous? (i) and (ii)(ii) and (iii)(iii) and (iv)(ii) and (iv)
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1273
CMI-2022-DataScience-A: 11
Which of the following plots correspond to a bijective function? (i) and (ii) (ii) and (iii) (i) and (iv) (iii) and (iv)
Which of the following plots correspond to a bijective function? (i) and (ii)(ii) and (iii)(i) and (iv)(iii) and (iv)
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1277
CMI-2022-DataScience-A: 15
Which of the following expressions take integral values for all integers $n>100?$ $\frac{3^{n}-1}{2}$ $\frac{4^{n}-1}{2}$ $\frac{4^{n}-1}{3}$ $\frac{5^{n}-1}{2}$
Which of the following expressions take integral values for all integers $n>100?$ $\frac{3^{n}-1}{2}$$\frac{4^{n}-1}{2}$$\frac{4^{n}-1}{3}$$\frac{5^{n}-1}{2}$
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1278
CMI-2022-DataScience-A: 16
At a conference attended by $1235$ people, some attendees shake hands with other attendees. As a part of the local $\text{COVID-19}$ ... multiple of $2$ $\mathcal{N}$ is always a multiple of $3$ $\mathcal{N}$ is always a multiple of $5$
At a conference attended by $1235$ people, some attendees shake hands with other attendees. As a part of the local $\text{COVID-19}$ tracing protocol the organizers ask e...
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