HSC Commerce (English Medium) इयत्ता १२ वी - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

Choose the correct alternative:

The Cost of Living Index Number using Weighted Relative Method is given by

State whether the following statement is True or False:

For Cost of Living Index Number CLI =`(sum"IW")/(sum"W")`, where I = `("P"_0)/("P"_1) xx 100` and w = p₀q₀

Calculate the Cost of Living Index by Family Budget method in following example where W are wages of base year and I are current year price relatives.

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

Choose the correct alternative:

The optimal sequence for above data is

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.

Choose the correct alternative:

In solving 2 machine and n jobs sequencing problem, the following assumption is wrong

In assignment problem each worker or machine is ______ capable of handling any job

______ time is the time when the machine is available but is waiting for a job to be processed

In sequencing problem the time required to transfer a job from one machine to another is ______

State whether the following statement is True or False: 

One of the assumptions is made while sequencing n jobs on 2 machines is: two jobs must be loaded at a time on any machine

State whether the following statement is True or False:

The Total Elapsed is the time required to complete all the jobs i.e. entire task

State whether the following statement is True or False:

The idle time for a machine is the when machine is available but is not waiting for any job to be processed

State whether the following statement is True or False: 

In sequencing problem each job once started on any machine must be processed still its completion

State whether the following statement is True or False:

In sequencing problem each machine is of different type

Find the sequence that minimizes total elapsed time to complete the following jobs in the order XY. Find the total elasped time and idle times for each machine.

If p ∨ q is true, then the truth value of ∼ p ∧ ∼ q is ______.

If x = `sqrt(1 + u^2)`, y = `log(1 + u^2)`, then find `(dy)/(dx).`

For certain bivariate data on 5 pairs of observations given:

∑x = 20, ∑y = 20, ∑x² = 90, ∑y² = 90, ∑xy = 76 then b_xy = ______.