HSC Commerce (English Medium) 12th Standard Board Exam - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

Solve the following problem :

Fit a trend line to data in Problem 13 by the method of least squares.

Solve the following problem :

Obtain trend values for data in Problem 13 using 4-yearly moving averages.

Solve the following problem :

Following table shows the all India infant mortality rates (per ‘000) for years 1980 to 2010.

Fit a trend line to the above data by graphical method.

Solve the following problem :

Fit a trend line to data in Problem 16 by the method of least squares.

Solve the following problem :

Obtain trend values for data in Problem 16 using 3-yearly moving averages.

Obtain trend values for data in Problem 19 using 3-yearly moving averages.

Solve the following problem :

Following tables shows the wheat yield (‘000 tonnes) in India for years 1959 to 1968.

Fit a trend line to the above data by the method of least squares.

Base year weights (W) and current year price relatives (I) are given in Problem. Calculate the cost of living index in:

Base year weights (W) and current year price relatives (I) are given in Problem. Calculate the cost of living index in:

Base year weights (W) and current year price relatives (I) are given in Problem. Calculate the cost of living index in:

Find x if the cost of living index is 150.

Base year weights (W) and current year price relatives (I) are given in Problem. Calculate the cost of living index in:

Find y if the cost of living index is 200.

Solve the following problem :

Find the cost living index number by the Weighted Aggregate Method.

Solve the following problem :

Find the cost of living index number by Family Budget Method for the following data. Also, find the expenditure of a person in the year 2008 if his expenditure in the year 2005 was ₹ 10,000.

Solve the following problem :

Find x if the cost of living index number is 193 for the following data.

A machine operator has to perform two operations, turning and threading on 6 different jobs. The time required to perform these operations (in minutes) for each job is known. Determine the order in which the jobs should be processed in order to minimize the total time required to complete all the jobs. Also find the total processing time and idle times for turning and threading operations.

A company has three jobs on hand. Each of these must be processed through two departments, in the order AB where
Department A: Press shop and
Department B: Finishing
The table below gives the number of days required by each job in each department

Find the sequence in which the three jobs should be processed so as to take minimum time to finish all the three jobs. Also find idle time for both the departments.

An insurance company receives three types of policy application bundles daily from its head office for data entry and tiling. The time (in minutes) required for each type for these two operations is given in the following table:

Find the sequence that minimizes the total time required to complete the entire task.

There are five jobs, each of which must go through two machines in the order XY. Processing times (in hours) are given below. Determine the sequence for the jobs that will minimize the total elapsed time. Also find the total elapsed time and idle time for each machine.

Find the sequence that minimizes the total elapsed time to complete the following jobs in the order AB. Find the total elapsed time and idle times for both the machines.