CMI Masters in Data Science 2020 Question Paper with Solutions: 40 Questions, Answer Key & Section-wise Analysis

CMI Masters in Data Science 2020 previous year paper: 40 questions with answer key and detailed solutions, section-wise breakdown and free sample questions.

Paper breakdown

40 questions · 100 marks · 210 minutes. General: 40

Free sample questions from CMI Masters in Data Science 2020 Question Paper

Question 1 MSQ

Consider the following program. Assume that x and y are integers.

A.
243
B.
729
C.
125
D.
216

Question 2 MSQ

Consider the matrices

A.
$∣ A ∣ = ∣ B ∣$
B.
$trace (A) = trace (B)$
C.
$∣ A ∣ = - ∣ B ∣$
D.
$trace (A B) = trace (B A)$

Question 3 MSQ

Consider the following program. Assume that all variables are integers. Note that x%y computes the remainder after dividing x by y. The division is an integer division. For example, 1/3 will return zero while 10/3 will return 3.

A.
11001
B.
10011
C.
11011
D.
10101

Question 4 MSQ

Which of the following limits are correct?

A.
$x \to 0 lim \frac{x ^{2} + 2 x}{2 x} = 1$
B.
$x \to 1/2 lim \frac{2 x ^{2} + x - 1}{2 x - 1} = \frac{3}{2}$
C.
$x \to \infty lim 18 x^{3} - 12 x^{2} + 1 = \infty$
D.
$x \to - \infty lim 18 x^{3} - 12 x^{2} + 1 = - \infty$

Question 5 MSQ

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.

A.
900
B.
9,000
C.
9,00,000
D.
90,00,000

Question 6 MSQ

Suppose $A$ is an $n \times n$ matrix with $n = 10$ and $b$ is an $n \times 1$ vector. Suppose that the equation $A x = b$ for an $n \times 1$ vector does not admit any solution. Which of the following conclusions can be drawn from the given information?

A.
$A^{- 1}$ does not exist.
B.
The equation $A^{T} x = b$ also does not admit any solution.
C.
$∣ A ∣ = 0$ .
D.
Suppose $c$ is another $n \times 1$ vector such that $A x = c$ also does not admit a solution. Then the vector $c$ is a constant multiple of the vector $b$ .

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CMI Masters in Data Science 2020 Question Paper with Solutions: 40 Questions, Answer Key & Section-wise Analysis

CMI Masters in Data Science 2020 previous year paper: 40 questions with answer key and detailed solutions, section-wise breakdown and free sample questions.

40 Qs

Total Questions

100 Marks

Total Marks

210 Mins

Duration

+3 / -1 / 0

Marking Scheme

Section-wise Paper Structure

General

40 Qs

100% of total marks

Free Solved Questions with Step-by-Step Solutions

Authentic examination problems with detailed derivations and answer keys.

Question 1

Consider the following program. Assume that x and y are integers.

Question 2

Consider the matrices

Question 3

Consider the following program. Assume that all variables are integers. Note that x%y computes the remainder after dividing x by y. The division is an integer division. For example, 1/3 will return zero while 10/3 will return 3.

Question 4

Which of the following limits are correct?

Question 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.

Question 6

Suppose A is an n \times n matrix with n = 10 and b is an n \times 1 vector. Suppose that the equation A x = b for an n \times 1 vector does not admit any solution. Which of the following conclusions can be drawn from the given information?

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