B.Com In Banking & Insurance (BCBI) Sem II 2021 2022 May 2022 QUANTITATIVE METHODS II Question Paper - Mumbai University | munotes

Questions asked in this paper

1. Q1 Fill in the blanks by choosing correct option: 40 marks
   • A) The central limit theorem States that for a large random sample of size n from population with mean the sampling distribution of the mean X is approximately a normal distribution with Standard deviation
   • B) Ifa variable x,, in LPP are called variables
   • C) It is possible to find the inverse of square matrix only if it is a matrix
   • D) If A a B, then which of the following is false? A=K/B where K js a constant
   • E) ) A single index model was proposed by
   • i) Post office saving deposit li) Time deposit with banks
   • G) When there are more than two decisions variables in LPP, then we need to use method to solve it
   • H) The sub-triplicate ratio of 1:27 is DIf a matrix of order 3x2, then its determinant will be
   • i) zer ii) one iii) not exist iV) positive
   • J) Beta of a share is the
2. Q1 difference between actual and expected return ii) inverse of alpha of the market lii) slope of the regression line iv) y intercept of regression line
   • K) IfHO : p> is the null hypothesis, then the test is
   • L)The inverse ratio of 2:3 is \
   • ii)1:6 \
   • M) The compound ratio of and
   • i) iv)
   • N) The hypothesis rejecting the null hypothesis is called hypothesis
   • O) A linear programming
   • i) sometimes has no solution _ii) Always has a unique solution _ iii) always has at least one solution never has solution
   • P) A matrix of order nx] is called a matrix
   • Q) The systematic risk is the risk the marked risk independent of iii) that is double of iv) inverse of
   • R) The difference between merchandise exports and imports is called
   • S) If a,b,c are in continued proportion, then b is not
   • i) the harmonic mean the mean proportional iVac iv) the geometric mean
   • T) If we accept HO when HO is actually false, then we are committing error
3. Q2 Solve the following (any 1) 7 marks
   • A) It is known that Standard deviation of salaries of officers in a certain large town is Rs 3000. A random sample of 49 officers was selected and the sample mean was found to be Rs. 21543. Find 95% confidence interval for the mean salary of officers in the town
   • B) Solve the following LPP with graphical method Subject to constraints,
4. Q3 Solve the following (any 1) 7 marks
   • A) i) A, B and C invested 10000, 20000 and 30000 respectively in a business. At the end the total profit. Find A’s share and C’s share of profit
   • i) If 4 workers can make 3 tables in 6 days then how many days will 8 workers require to
   • B) i) What number must be added to each of the numbers 4, 12 and 28 so that the resulting numbers are in continued proportion
   • ii) R.K steel manufacturing company produces two items P and Q. It uses sheet metal, equipment and labour. Input-output relationship and resources are available as follows Formulate the LPP to maximize the profit
5. Q4 Solve the following (any 1) 7 marks
   • A) Find the inverse of matrix using adjoint method
   • B) A portfolio P consists of two shares X and Y. The following table gives probability of the returns of the two shares. Find
   • i. Expected return from the share X
   • ii. Expected return from the share Y Total risk of share X
   • iv. Covariance of return from share X and share The proportion of share X and Y in the portfolio is 70% and 30% respectively Economic Probability Return on X (%) Return on Y (%)
6. Q5 Solve the following (any 1) 7 marks
   • A)i) If A 3 and | 6 5 2B
   • ii) = and B = find AT + B
   • B) i) Th following table shows the probability distribution of a shares returned measured in % . Find the expected return of shares Probabili Return on share %
   • ii) Explain briefly electricity generation in infrastructure
7. Q6 Write Short notes on (any 2) 7 marks
8. Q1 Concept of external Debt
9. Q2 Price level and inflation
10. Q3 Direct variation and inverse variation
11. Q5 Zero matrix and Row matrix

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