HSC Commerce (Marathi Medium) 12th Standard Board Exam [इयत्ता १२ वी] - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

State whether the following statement is True or False:

Number of arbitrary constant in the general solution of a differential equation is equal to order of D.E.

Find the differential equation by eliminating arbitrary constants from the relation y = (c₁ + c₂x)e^x 

Multiple choice questions:

Rental payment for an apartment is an example of ______

Multiple choice questions:

In an ordinary annuity, payments or receipts occur at ______

Multiple choice questions:  

In annuity calculations, the interest is usually taken as ______

Multiple choice questions:

If for an immediate annuity r = 10% p.a., P = ₹ 12,679.46 and A = ₹ 18,564, then the amount of each annuity paid is ______

Multiple choice questions:

The present value of an immediate annuity of ₹ 10,000 paid each quarter for four quarters at 16% p.a. compounded quarterly is ______

State whether the following statement is True or False:

A sinking fund is a fund established by financial organization

State whether the following statement is True or False:

The relation between accumulated value ‘A’ and present value ‘P’ is A = P(1+ i)ⁿ 

State whether the following statement is True or False:

The future value of an annuity is the accumulated values of all instalments

State whether the following statement is True or False:

Annuity contingent begins and ends on certain fixed dates

State whether the following statement is True or False:

An annuity where payments continue forever is called perpetuity

In ordinary annuity, payments or receipts occur at ______

The present value of an immediate annuity for 4 years at 10% p.a. compounded annually is ₹ 23,400. It’s accumulated value after 4 years would be ₹ ______

If for an immediate annuity r = 10% p.a., P = ₹ 12,679.46 and A = ₹ 18,564, then the amount of each annuity paid is ______

An annuity in which each payment is made at the end of period is called ______

If payments of an annuity fall due at the beginning of every period, the series is called annuity ______

The intervening time between payment of two successive installments is called as ______

A 35-year old person takes a policy for ₹ 1,00,000 for a period of 20 years. The rate of premium is ₹ 76 and the average rate of bonus is ₹ 7 per thousand p.a. If he dies after paying 10 annual premiums, what amount will his nominee receive?

Find the amount of an ordinary annuity if a payment of ₹ 500 is made at the end of every quarter for 5 years at the rate of 12% per annum compounded quarterly. [Given (1.03)²⁰ = 1.8061]