ISI MS(QMBA) 2020 Question Paper with Solutions: 46 Questions, Answer Key & Section-wise Analysis

ISI MS(QMBA) 2020 previous year paper: 46 questions with answer key and detailed solutions, section-wise breakdown and free sample questions.

Paper breakdown

46 questions · 120 marks · 248 minutes. Algebra and Number Theory: 17 · Calculus: 11 · Linear Algebra: 7 · Geometry and Trigonometry: 7 · Probability, Statistics and Analytical Reasoning: 4

Free sample questions from ISI MS(QMBA) 2020 Question Paper

Question 1 · Algebra and Number Theory MCQ

The highest power of 7 that divides 100! is

A.
14
B.
15
C.
16
D.
18.

Question 2 · Algebra and Number Theory SUB

Find the value of $lim_{n \to \infty} (\frac{1}{n} + \frac{1}{n + 1} + \frac{1}{n + 2} + \dots + \frac{1}{3 n})$ .

Question 3 · Linear Algebra SUB

Show that every square matrix is uniquely expressible as the sum of a symmetric and a skew symmetric matrix.

Question 4 · Algebra and Number Theory MCQ

The number of 6-digit positive integers whose sum of the digits is at least 52 is

A.
21
B.
22
C.
27
D.
28.

Question 5 · Calculus SUB

Solve the differential equation $\frac{d y}{d x} = x - x y$ .

Question 6 · Algebra and Number Theory SUB

Let

x

be a positive real number. Then show that for any

x

x^{2} + π^{2} + x^{2 π} \geq x^{π} (π + x) + x π .

Question 7 · Algebra and Number Theory MCQ

The sum of all 3-digit numbers that leave a remainder of 2 when divided by 3 is

A.
189700
B.
164850
C.
164750
D.
149700.

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ISI MS(QMBA)

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ISI MS(QMBA) 2020 Question Paper with Solutions: 46 Questions, Answer Key & Section-wise Analysis

ISI MS(QMBA) 2020 previous year paper: 46 questions with answer key and detailed solutions, section-wise breakdown and free sample questions.

46 Qs

Total Questions

120 Marks

Total Marks

248 Mins

Duration

+3 / -1 / 0

Marking Scheme

Section-wise Paper Structure

Algebra and Number Theory

17 Qs

37% of total marks

Calculus

11 Qs

24% of total marks

Linear Algebra

7 Qs

15% of total marks

Geometry and Trigonometry

7 Qs

15% of total marks

Probability, Statistics and Analytical Reasoning

4 Qs

9% of total marks

Free Solved Questions with Step-by-Step Solutions

Authentic examination problems with detailed derivations and answer keys.

Question 1

The highest power of 7 that divides 100! is

Question 2

Find the value of lim_{n \to \infty} (\frac{1}{n} + \frac{1}{n + 1} + \frac{1}{n + 2} + \dots + \frac{1}{3 n}) .

Question 3

Show that every square matrix is uniquely expressible as the sum of a symmetric and a skew symmetric matrix.

Question 4

The number of 6-digit positive integers whose sum of the digits is at least 52 is

Question 5

Solve the differential equation \frac{d y}{d x} = x - x y .

Question 6

Let x be a positive real number. Then show that for any x, x^{2} + π^{2} + x^{2 π} \geq x^{π} (π + x) + x π .

Question 7

The sum of all 3-digit numbers that leave a remainder of 2 when divided by 3 is

Unlock All 46 Questions in Real Examination Mode

Practice with the authentic timer, on-screen calculator, instant percentile ranking, and section-wise analytics.

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