HSC Commerce कक्षा ११ - Tamil Nadu Board of Secondary Education Question Bank Solutions for Business Mathematics and Statistics

Find the amount of an annuity of ₹ 2000 payable at the end of every month for 5 years if money is worth 6% per annum compounded monthly. [(1.005)⁶⁰ = 1.3489]

Resolve into partial fraction for the following:

`(3x + 7)/(x^2 - 3x + 2)`

Resolve into partial fraction for the following:

`(4x + 1)/((x - 2)(x + 1))`

Naveen deposits ₹ 250 at the end of each month in an account that pays an interest of 6% per annum compounded monthly, how many months will be required for the deposit to amount to at least ₹ 6390? [log(1.1278) = 0.0523, log(1.005) = 0.0022]

Resolve into partial fraction for the following:

`1/((x - 1)(x + 2)^2)`

A cash prize of ₹ 1,500 is given to the student standing first in examination of Business Mathematics by a person every year. Find out the sum that the person has to deposit to meet this expense. Rate of interest is 12% p.a.

Resolve into partial fraction for the following:

`1/(x^2 - 1)`

Machine A costs ₹ 15,000 and machine B costs ₹ 20,000. The annual income from A and B are ₹ 4,000 and ₹ 7,000 respectively. Machine A has a life of 4 years and B has a life of 7 years. Find which machine may be purchased. (Assume discount rate 8% p.a) [(1.08)^–4 = 0.7350, (1.08)^–7 = 0.5835]

Resolve into partial fraction for the following:

`(x - 2)/((x + 2)(x - 1)^2)`

Resolve into partial fraction for the following:

`(2x^2 - 5x - 7)/(x - 2)^3`

Resolve into a partial fraction for the following:

`(x^2 - 6x + 2)/(x^2 (x + 2))`

Resolve into partial fraction for the following:

`(x^2 - 3)/((x + 2)(x^2 + 1))`

Resolve into a partial fraction for the following:

`(x + 2)/((x - 1)(x + 3)^2)`

Resolve into a partial fraction for the following:

`1/((x^2 + 4)(x + 1))`

Find the first quartile and third quartile for the given observations.

2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22

Find Q₁, Q₃, D₈ and P₆₇ of the following data:

Find lower quartile, upper quartile, 7^th decile, 5^th decile and 60^th percentile for the following frequency distribution.

Calculate GM for the following table gives the weight of 31 persons in the sample survey.

The price of a commodity increased by 5% from 2004 to 2005, 8% from 2005 to 2006 and 77% from 2006 to 2007. Calculate the average increase from 2004 to 2007?

An aeroplane flies, along the four sides of a square at speeds of 100, 200, 300 and 400 kilometres per hour respectively. What is the average speed of the plane in its flight around the square?