isical.ac.in MS QMS ISI Admission Sample Questions Paper : Indian Statistical Institute

Name of the University : Indian Statistical Institute
Exam : ISI Admission Test
Document Type : Sample/Previous Year Question Paper
Name of the Subject : MS QMS
Year : 2016

Website : http://www.isical.ac.in/~admission/IsiAdmission2017/PreviousQuestion/Questions-MSQMS.html
Download Sample/Previous Years’ Questions :
QMA 2016 : https://www.pdfquestion.in/uploads/11343-QMA-2016.pdf
QMB 2016 : https://www.pdfquestion.in/uploads/11343-QMB-2016.pdf
QMA 2015 : https://www.pdfquestion.in/uploads/11343-QMA-2015.pdf
QMB 2015 : https://www.pdfquestion.in/uploads/11343-QMB-2015.pdf
QMA 2014 : https://www.pdfquestion.in/uploads/11343-QMA-2014.pdf
QMB 2014 : https://www.pdfquestion.in/uploads/11343-QMB-2014.pdf

MS QMS ISI Admission Sample Questions Paper :

Questions : 30
Time : 2 hours
Instruction :
** On the answer booklet write your Name, Registration number, Test Centre, Test Code and the Number of this Booklet in the appropriate places on the Answer-sheet.
** This test has 30 questions. ANSWER ALL QUESTIONS. All questions carry equal (4) marks.

 Related : Indian Statistical Institute MS Library & Information Science ISI Admission Sample Questions Paper 2017 : www.pdfquestion.in/11339.html

** For each of the 30 questions, there are four suggested answers. Only one of the suggested answers is correct. You will have to identify the correct answer to get full credit for that question.

** Indicate your choice of the correct answer by darkening the appropriate oval completely on the answer-sheet.

You will get :
** 4 marks for each correctly answered question,
** 0 marks for each incorrectly answered question, and
** 1 mark for each unanswered question.

1. I deposited Rs. X with a bank which was oering 8% interest per year compounded annually for a duration of 5 years. At maturity if I received (approximately) Rs. 264479, X is
(a) 200000
(b) 160000
(c) 180000
(d) 184479

2. The number of ways to ll each of the four cells of the table with a distinct natural number such that the sum of the numbers is 10 and the sums of the numbers placed diagonally are equal, is
(a) 2! * 2!
(b) 4!
(c) 2(4!)
(d) 2(2! * 2!)

3. Two fair dice are rolled one after the other. The probability that the number on the top of the rst die is smaller than that of the second one is equal to
(a) 7/18
(b) 1/2
(c) 5/12
(d) 3/4

4. The number of all possible positive integral solutions of the equation xyz = 30 is
(a) 27
(b) 25
(c) 26
(d) none of the above

5. If the product of n positive numbers is 1, their sum is
(a) a positive integer
(b) divisible by n
(c) equals to n + 1 n
(d) never less than n

Test Code : QMB
Session : Afternoon
Questions : 8
Time : 2 hours
** On the answer booklet write your Name, Registration number, Test Centre, Test Code and the Number of this Booklet in the appropriate places on the Answer-sheet.
** The test QMB is of short answer type. It has altogether eight questions. A candidate has to answer all questions.

1. (a) Find the total number of ways in which a person can be given at least one rupee from four 25 paisa coins, three 50 paisa coins and two 1 rupee coins. [9]
(b) Show that the map f : Q ! Q dened by f(x) = 3x+2 is one-one and onto, where Q is the set of rational numbers. Also nd the formula for f-1.

2. (a) Find the remainder when 275 is divided by 37. [5]
(b) Let p; q; r be given real numbers. Solve the following system of equations
x + py + p2z = p3
x + qy + q2z = q3
x + ry + r2z = r3

3. (a) A balanced six faced die is rolled once. If the number of dots which show up is n, then a fair coin is tossed n times. Find the probability of seeing exactly 4 heads showing up in this experiment. [7]
(b) Let xn; n = 1; 2; : : : be a sequence of real numbers converging to a real number a as n ! 1. yn =xn – 1n if n is an odd integer; 2xn if n is an even integer.Does yn converge? What are its limit points?

4. (a) Suppose a; b; c are in arithmetic progression and a2; b2; c2; are in the geometric progression. If a < b < c and a + b + c = 3 2 , then and the value of a.

5. Let a system of homogeneous equations
tx + (t + 1)y + (t ?? 1)z = 0
(t + 1)x + ty + (t + 2)z = 0
(t – 1)x + (t + 2)y + tz = 0
For which value of t, the system has non-trivial solutions? [7]