HSC Commerce (Marathi Medium) इयत्ता १२ वी - Maharashtra State Board Important Questions for Mathematics and Statistics

Obtain the trend values for the following data using 5 yearly moving averages:

Following table shows the amount of sugar production (in lakh tonnes) for the years 1931 to 1941:

Complete the following activity to fit a trend line by method of least squares:

Choose the correct alternative :

The price Index Number by Weighted Aggregate Method is given by ______.

Choose the correct alternative:

Walsh's Price Index Number is given by

Calculate
a) Laspeyre’s
b) Passche’s
c) Dorbish-Bowley’s Price Index Numbers for following data.

Given P₀₁(M-E) = 120, `sum"p"_1"q"_1` = 300, `sum"p"_0"q"_0` = 120, `sum"p"_0"q"_1` = 320, Find P₀₁(L)

Find the missing wage if the Cost of Living Index for the following data is 150.

The Cost of Living Index Numbers for years 2003 and 2008 are 150 and 200 respectively. A person earned ₹ 18,000 per month in year 2003. What should be his earning per month in year 2008, so as to maintain same standard of living as 2003?

State whether the following statement is true or false:

Dorbish-Bowley's Price Index Number is the square root of the product of Laspeyre's and Paasche's Index Numbers.

If P₀₁ (L) = 121, P₀₁ (P) = 100, then P₀₁ (F) = ______.

Calculate the cost of living index number for the following data by aggregative expenditure method:

The cost of living index number using Weighted Relative Method is given by ______.

A doctor prescribed 2 types of vitamin tablets, T₁ and T₂ for Mr. Dhawan. The tablet T₁ contains 400 units of vitamin and T₂ contains 250 units of vitamin. If his requirement of vitamin is at least 4000 units, then the inequation for his requirement will be ______

Heramb requires at most 400 calories from his breakfast. Every morning he likes to take oats and milk. If each bowl of oats and a glass of milk provides him 80 calories and 50 calories respectively, then as a constraint this information can be expressed as ______

Choose the correct alternative :

The assignment problem is said to be balanced if it is a ______.

Solve the following problem :

Five jobs must pass through a lathe and a surface grinder, in that order. The processing times in hours are shown below. Determine the optimal sequence of the jobs. Also find the idle time of each machine.

Solve the following problem :

Find the sequence that minimizes the total elapsed time to complete the following jobs. Each job is processed in order AB.

Determine the sequence for the jobs so as to minimize the processing time. Find the total elapsed time and the idle times for both the machines.

Choose the correct alternative:

If there are 3 machines A, B and C, conditions for reducing a 3 machine problem to a 2 machine problem with respect to minimum processing time is ______

If there are n jobs and m machines, then there will be _______ sequence of doing jobs.

An unbalanced assignment problems can be balanced by adding dummy rows or columns with ______ cost