ISI MS(QMBA) 2019 Question Paper with Solutions: 46 Questions, Answer Key & Section-wise Analysis

ISI MS(QMBA) 2019 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: 20 · Calculus: 8 · Probability, Statistics and Analytical Reasoning: 6 · Linear Algebra: 6 · Geometry and Trigonometry: 6

Free sample questions from ISI MS(QMBA) 2019 Question Paper

Question 1 · Algebra and Number Theory MCQ

The number of isosceles (but not equilateral) triangles with integer sides and no side exceeding 10 is

A.
65
B.
75
C.
81
D.
90.

Question 2 · Algebra and Number Theory SUB

Find the value of the parameter $m$ for which the sum of the squares of the roots of the equation $x^{2} + (m - 2) x - (m + 3) = 0$ has the least value.

Question 3 · Linear Algebra SUB

Let

α, β

be the real roots of the equation

a x^{2} + b x + c = 0

and let

α^{n} + β^{n} = S_{n}

for

n \geq 1

, then find the value of the determinant of

A

, where

A = 3 1 + S_{1} 1 + S_{2} 1 + S_{1} 1 + S_{2} 1 + S_{3} 1 + S_{2} 1 + S_{3} 1 + S_{4} .

Question 4 · Geometry and Trigonometry MCQ

The number of squares in the following figure is

A.
25
B.
26
C.
29
D.
30.

Question 5 · Algebra and Number Theory SUB

Prove that if $x > 0, y > 0$ and $x + y = 1$ , then $(1 + \frac{1}{x}) (1 + \frac{1}{y}) \geq 9$ .

Question 6 · Calculus SUB

Given that the definite integral $\int_{0}^{3} \frac{d x}{3 x - 2}$ has a finite value, find the value of the integral.

Question 7 · Algebra and Number Theory MCQ

The number of trailing zeros in 100! is

A.
21
B.
23
C.
24
D.
25.

Other ISI MS(QMBA) papers

ISI MS(QMBA)

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ISI MS(QMBA) 2019 Question Paper with Solutions: 46 Questions, Answer Key & Section-wise Analysis

ISI MS(QMBA) 2019 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

20 Qs

43% of total marks

Calculus

8 Qs

17% of total marks

Probability, Statistics and Analytical Reasoning

6 Qs

13% of total marks

Linear Algebra

6 Qs

13% of total marks

Geometry and Trigonometry

6 Qs

13% of total marks

Free Solved Questions with Step-by-Step Solutions

Authentic examination problems with detailed derivations and answer keys.

Question 1

The number of isosceles (but not equilateral) triangles with integer sides and no side exceeding 10 is

Question 2

Find the value of the parameter m for which the sum of the squares of the roots of the equation x^{2} + (m - 2) x - (m + 3) = 0 has the least value.

Question 3

Let α, β be the real roots of the equation a x^{2} + b x + c = 0 and let α^{n} + β^{n} = S_{n} for n \geq 1, then find the value of the determinant of A, where A = 3 1 + S_{1} 1 + S_{2} 1 + S_{1} 1 + S_{2} 1 + S_{3} 1 + S_{2} 1 + S_{3} 1 + S_{4} .

Question 4

The number of squares in the following figure is

Question 5

Prove that if x > 0, y > 0 and x + y = 1, then (1 + \frac{1}{x}) (1 + \frac{1}{y}) \geq 9 .

Question 6

Given that the definite integral \int_{0}^{3} \frac{d x}{3 x - 2} has a finite value, find the value of the integral.

Question 7

The number of trailing zeros in 100! is

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