MSBSHSE Class 12th Mathematics & Statistics (Commerce) 2024 Question Paper Maharashtra
Organisation : Maharashtra State Board of Secondary and Higher Secondary Education (MSBSHSE)
Exam Name : HSC Exam 2024
Class : Class 12th
Subject : Mathematics & Statistics (Commerce)
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MSBSHSE Class 12th Mathematics & Statistics Question Paper
Select and write the correct answer of the following multiple choice type of questions (1 mark each):
Related / Similar Question Paper : MSBSHSE Class 12th Chemistry 2024 Question Paper
(i) Which of the following is not a statement?
(a) Smoking is injurious to health
(b) 2 + 2 = 4
(c) 2 is the only even prime number
(d) Come here
(ii) If x + y + z = 3, x + 2y + 3z = 4, x + 4y + 9z = 6 then (y, z) = _____.
(a) (–1, 0)
(b) (1, 0)
(c) (1, –1)
(d) (–1, 1)
Fill in the following blanks (1 mark each) :
(1) The slope of tangent at any point (a, b) is called as ______.
(2) A solution of differential equation which can be obtained from the general solution by giving particular values to the arbitrary constants is called _____ solution.
Attempt any TWO of the following questions :
(1) Consider the following statements
(a) If D is dog, then D is very good.
(b) If D is very good, then D is dog.
(c) If D is not very good, then D is not a dog.
(d) If D is not a dog, then D is not very good.
Identify the pairs of statements having the same meaning. Justify.
(2) The rate of growth of population is proportional to the number of inhabitants. If the population doubles in 25 years and the present population is 1,00,000, when will the city have population 4,00,000?
Select and write the correct answer of the following multiple choice type of questions (1 mark each) :
(i) The difference between face value and present worth is called _____.
(a) Banker’s discount
(b) True discount
(c) Banker’s gain
(d) Cash value
(ii) In an ordinary annuity, payments or receipts occur at _____.
(a) beginning of each period
(b) end of each period
(c) mid of each period
(d) quarterly basis
(iii) xyb and yxb are _____.
(a) Independent of change of origin and scale
(b) Independent of change of origin but not of scale
(c) Independent of change of scale but not of origin
(d) Affected by change of origin and scale
(v) Objective function of L.P.P. is _____.
(a) a constraint
(b) a function to be maximised or minimised
(c) a relation between the decision variables
(d) a feasible region
(vi) To use the Hungarian method, a profit maximization assignment problem requires _____.
(a) Converting all profits to opportunity losses
(b) A dummy person or job
(c) Matrix expansion
(d) Finding the maximum number of lines to cover all the zeros in the reduced matrix
Fill in the blanks (1 mark each) :
(i) The banker’s discount is always _____ than the true discount.
(ii) The cost of living index number using Weighted Relative Method is given by _____.
(iii) The time interval between starting the first job and completing the last job including the idle time (if any) in a particular order by the given set of machines is called _____.
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