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

Website : http://www.isical.ac.in/~admission/IsiAdmission2017/PreviousQuestion/Questions-MSQE.html
Download Sample/Previous Years’ Questions :
Sample(PEA)2017 :  https://www.pdfquestion.in/uploads/11333-PEA2017.pdf
Sample(PEB) 2017 : https://www.pdfquestion.in/uploads/11333-PEB2017.pdf
PEA 2016 : https://www.pdfquestion.in/uploads/11333-PEA2016.pdf
PEA 2015 : https://www.pdfquestion.in/uploads/11333-PEA-2015.pdf
PEA 2014 :  https://www.pdfquestion.in/uploads/11333-PEA-2014.pdf

MSQE ISI Admission Test Sample Question 2017 :

PEA Mathematics Sample Questions :
** 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.

Related : Indian Statistical Institute M.Mathematics ISI Admission Test Sample Questions Paper : www.pdfquestion.in/11328.html

** 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. If f : R ! R and g : R ! R are two functions such that f(x) = ax+b and g(x) = cx+d, then f(g(x)) = g(f(x)) holds if and only if
A. f(a) = g(c)
B. f(b) = g(b)
C. f(d) = g(b)
D. f(c) = g(a)

2. A box contains 90 good and 10 defective screws. If 10 screws are drawn without replacement, the probability that none of them is defective is
A. 90c/100c
B. 90 10/100 10
C. 90p10/100p10
D. None of the above

3. The number of ordered pairs of integers (x; y) satisfying the equation x2 + 6x + y2 = 4 is
A. 2
B. 4
C. 6
D. 8

4. The smallest integer that produces remainders of 2; 4; 6 and 1 when divided by 3; 5; 7 and 11 respectively is
A. 104
B. 1154
C. 419
D. None of the above

5. Two dice are rolled. If the two faces are different, the probability that one is a six is
A. 5/6
B. 2/3
C. 1/2
D. 1/3

6. A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random without replacement. Then the probability that none of the balls drawn is blue is
A. 10/21
B. 11/21
C. 2/7
D. 5/7

7. The letters of the word COCHIN are permuted and all the permutations are arranged lexico graphically (i.e., in alphabetical order as in an English dictionary). The number of words that appear before the word COCHIN is
A. 96
B. 360
C. 192
D. 48

8. The function in the previous question is
A. homogeneous of degree 1 and homothetic
B. homogeneous of degree 1 but not homothetic
C. homothetic but not homogeneous of degree 1
D. Neither homogeneous of degree 1 nor homothetic

9. Player 1 and Player 2 both start with 100 rupees. Each round of a game consists of the following
Both players choose a number randomly and independently from 1 to 5. If both players choose the same number, then Player 1 gives rupees 10 to Player 2. Otherwise, Player 2 gives rupees 10 to Player 1. Then the expected amount of money Player 1 will be left with after playing 10 rounds of this game is
A. 120
B. 100
C. 50
D. 160

10. Two squares are chosen at random on a chessboard (with 64 squares). Then the probability that they have a side in common is
A. 1/9
B. 1/27
C. 1/18
D. None of the above

PEB Economics Sample Questions :
** For each of the thirty questions, there are four possible answers.
** You will get 4 marks for each correctly answered question, 1 mark for each unanswered question, and 0 marks for each incorrectly answered question.

1. Under nominal wage rigidity, the short run aggregate supply schedule will be
(a) Vertical
(b) Horizontal
(c) Upward sloping
(d) Downward sloping

2. Under rational expectations and no nominal rigidities, aggregate output is sensitive to ___________ supply and ___________ demand shocks.
(a) Anticipated, anticipated
(b) Anticipated, unanticipated
(c) Unanticipated, anticipated
(d) Unanticipated, unanticipated

3. Keynes argued that monetary policy was ineffective during the Great Depression because
(a) IS curve was vertical and stuck at a low level of income.
(b) Both the IS and the LM curves were vertical.
(c) IS curve was continuously shifting, while the LM curve was vertical.
(d) None of the above choices is correct.

4. In the basic Solow model of growth
(a) An increase in the savings rate raises the steady-state growth rate
(b) An increase in the growth rate of population lowers the steady-state growth rate
(c) An increase in the growth rate of population has no impact on the steady-state growth rate
(d) An increase in the savings rate has no impact on the steady-state growth rate.

5. The money multiplier is _________ in the reserve-deposit ratio and __________in the cash-deposit ratio.
(a) Increasing; Decreasing
(b) Decreasing; Decreasing
(c) Decreasing; Increasing
(d) Increasing; Increasing

6. If the IS curve is downward sloping and the LM curve is vertical, a unit increase in government expenditure results in
(a) Crowding in and higher increase in equilibrium income
(b) No crowding out and equivalent increase in the equilibrium income
(c) Partial crowding out and lower increase in equilibrium income
(d) Complete crowding out and no increase in equilibrium income

7. Monetary policy is completely ineffective in raising output if
(a) The IS curve is horizontal and the LM curve is upward sloping
(b) The IS curve is vertical and the LM curve is upward sloping
(c) The IS curve is downward sloping and the LM curve is upward sloping
(d) The IS curve is downward sloping and the LM curve is vertical.

8. Which of the following statements is correct? In a closed economy, fiscal policy is more effective
(a) The smaller the induced change in interest rates and smaller the responsiveness of investment to these changes.
(b) The larger the induced change in interest rates and smaller the responsiveness of investment to these changes.
(c) The smaller the induced change in interest rates and larger the responsiveness of investment to these changes.
(d) The larger the induced change in interest rates and lager the responsiveness of investment to these changes.

9. Which of the following spells the most fundamental difference between the standard Solow model of growth and the standard optimal growth model?
(a) The rate of technology progress is endogenous in the former but exogenous in the latter
(b) The savings rate is exogenous in the former, but endogenous in the latter
(c) Capital utilization is exogenous in the former, but endogenous in the latter
(d) All of the above.

10. Consider a simple Keynesian medel where equilibrium output is determined by aggregate demand. Investment is autonomous and a constant proportion of the income is saved. In this framework an increase in the savings propensity has the following effect:
(a) It leads to higher level of output in the new equilibrium
(b) It leads to lower level of output in the new equilibrium
(c) The level of output in the new equilibrium remains unchanged
(d) The level of output in the new equilibrium may increase or decrease depending on the degree of increase in the savings propensity.