SSC (English Medium) 9th Standard - Maharashtra State Board Question Bank Solutions for Algebra

If `bb(a/b = 7/3)` then find the value of the following ratio.

`(a^3 - b^3)/b^3`

If `bb(a/b = 7/3)` then find the value of the following ratio.

`(7a + 9b)/(7a - 9b)`

If `bb((15a^2 + 4b^2)/( 15a^2 - 4b^2) = 47/7)` then find the value of following ratio.

`a/b`

If `bb((15a^2 + 4b^2)/( 15a^2 - 4b^2) = 47/7 )` then find the value of the following ratio.

`(7a - 3b)/ (7a + 3b)`

If `bb((15a^2 + 4b^2)/( 15a^2 - 4b^2) = 47/7)` then find the value of the following ratio. 

`[ b^2 - 2a^2]/[ b^2 + 2a^2]`

If `bb((15a^2 + 4b^2)/( 15a^2 - 4b^2) = 47/7)` then find the value of following ratio.

`[ b^3 - 2a^3]/[ b^3 + 2a^3]`

If `(3a + 7b)/( 3a - 7b)  = 4/3` then find the value of the ratio `(3a^2 - 7b^2)/(3a^2 + 7b^2)`.

5m - n = 3m + 4n  then find the value of the following expression.

`["m"^2 + "n"^2]/["m"^2 - "n"^2]`

5m - n = 3m + 4n  then find the value of the following expression.

`(3m + 4n)/(3m - 4n)`

Divide polynomial 3x³ - 8x² + x + 7 by x - 3 using synthetic method and write the quotient and remainder.

If `bb(a/b = 2/3)` then find the value of the following expression.

`[ 4a + 3b ]/( 3b )`

If `bb(a/b = 2/3)` then find the value of the following expression.

`[5a^2 + 2b^2]/[ 5a^2 - 2b^2]`

If `bb("a"/"b" = 2/3)`  then find the values of the following expression

`[a^3 + b^3]/b^3`

If `bb(a/b = 2/3)` then find the value of the following expression.

`[ 7b - 4a]/[ 7b + 4a ]`

Compute the income tax payable by following individual.

Mr. Khan is 65 years of age and his taxable income is Rs. 4,50,000.

Compute the income tax payable by following individual.

Miss Varsha (Age 26 years) has a taxable income of Rs. 2,30,000.

Which set can be the universal set?

1. P is the set of all residents in Pune. 
2. M is the set of all residents in Madhya Pradesh.
3. I is the set of all residents in Indore.
4. B is the set of all residents in India.
5. H is the set of all residents in Maharashtra.

Which set of numbers could be the universal set for the set given below?

1. A = set of multiples of 5.
2. B = set of multiples of 7.
3. C = set of multiples of 12.

Which set of numbers could be the universal set for the set given below?

1. P = set of integers which are multiples of 4.
2. T = set of all even square numbers.

Let all the students of a class is an Universal set. Let set A be the students who secure 50% or more marks in Maths. Then write the complement of set A.