11th Class Business Mathematics Chapter Wise Short Questions Preparation

Question # 1

Define degree of the equation.

Ans 1: Degree of the Equation:The degree of an equation is the highest power of its monomials (individual terms) with non-zero coefficients. The degree of a term is the sum of the exponents of the variable that appear in it,and thus non-negative integer
Ans 2: Examples: x3+ 3x2+ 2 = 0 Degree of equation is ''3''
Ans 3: ii) x2+ 2x2y2+ y2= 0 Degree of equation is ''4''

Question # 2

What is the condition for two matrices to be conformable for multiplication?

Ans 1: Two matrices A and B are confirmed for multiplication AB,if number of columns of A is equal to number of rows of B.The new matrix AB will contain the number of rows as in A and number of columns as in B.

Question # 3

What is the range of the function?

Ans 1: Range of the Function: Range of the function is the ''set of all definite output values'' Range depends on the domain of the function.

Question # 4

Define independent variable.

Ans 1: Independent Variable:A variable that represent input values or domain of a function is called as independent variable.

Question # 5

What is meant by interest?

Ans 1: Interest:Interest is just like a rent which is paid for having the use of money.
Ans 2: Explanation: Some corporations pay millions of rupees of interest each as for the use of money they have borrowed.We earn money on sums we have invested in saving accounts,certificates of deposits,and money market funds.We also pay for the use of money which we have borrowed for house loans,mortgages,or credit card purchases.

Question # 6

Write the digit on which decimal number system is based.

Ans 1: The digit on which decimal number system is based are 0,1,2,3,4,5,6,7,8 and 9.In decimal number system,we use ten digits.

Question # 7

Write any two basic arithmetic operations.

Ans 1: The four basic mathematics operations are:
Ans 2: i) Addition
Ans 3: 2) Subtraction
Ans 4: 3) Multiplication
Ans 5: 4) Division

Question # 8

Change into standard form 63 : 84 : 126.

Ans 1: 63 : 84 : 126Dividing by ''7''9 : 12 : 18Dividing by 33 : 4: 6

Question # 9

What is square matrix.

Ans 1: Square Mattrix: A matrix having equal number of rows and column is called square matrix.

Question # 10

Find domain and range for relation. {(1,3),(1,4),(1,-1),(1,-2)

Ans 1: Domain of the relation = {1}
Because domain is first element of every order pair in relation Range of relation = {-1,-2,3,4 } Beacuse range is second element of every order pair in relation.

Question # 11

Define row matrix and give one example.

Ans 1: Row Matrix: A matrix having single row but having any number of columns is called row matrix.
Example: A = [3 4 5 6 ]
a row matrix , Row matrix is also called row vector.

Question # 12

Write the domain and range of linear function y = 2x + 3

Ans 1: Domain of this function is all real number because function is defined all real values.

Question # 13

What are the characteristics of an annuity?

Ans 1: The important characteristics of an annuity are given as under:
Ans 2: i) There should be regularity in payment i.e,the sequence of payments may continue for finite or infinite period.
Ans 3: ii) The amount of payment is fixed throughout the term of annuity.
Ans 4: iii) The interval of time in two consecutive payments of an annuity is usually constant such as annually,half annually,quarterly or monthly etc.
Ans 5: iv) Growth rate of money remains constant throughout the term of annuity and charged compounded.The rate of interest usually mentioned on annual basis but may be compounded on half annually,quarterly or monthly basis.The interest charged compounded means the principal amount keep on change after every specific.

Question # 14

Define null matrix

Ans 1: Null Matrix: If each every element of a matrix is zero than that matrix is called null matrix. Null matrix is also called zero matrix and denoted by "0"

Question # 15

Define an extraneous root of an equation.

Ans 1: Extraneous Root: Those roots do not satisfy the original equation and known as extraneous roots.

Question # 16

Define binary number system shortly.

Ans 1: Binary Number System:The number system with base 2 is known as binary number system.
Ans 2: Importance:The number system with base 2 is of particular importance due to its application in computer.The binary number ''0'' suggest to computer ''off'' and ''1'' ''on''.
Ans 3: Digits Involved:In binary number system only two digits ''0'' and ''1'' involve.

Question # 17

Define variable quantities.

Ans 1: Variable Quantity:A quantity that can assume any of a set of values:
Ans 2: Variable:A variable is a symbol that can be replaced by any one of a set of different numbers.
Ans 3: Example:y = f (x) = x + 6In above relation x is independent variable whereas y is dependent variable.

Question # 18

Convert 82 in binary system.

Ans 1: 82 = (1010010)₂

Question # 19

Define dependent variable.

Ans 1: Dependent Variable: The variable that represents output values or range of a function is called dependent variable,because its value depend on the values of the independent variable.''The dependent variable is a function of independent variable that is same as output is function of input''.

Question # 20

Reduce to its lowest term 60 : 180.

Ans 1: 60 : 180Dividing by 106 : 18Dividing by 61 : 3

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