SSC (English Medium) इयत्ता ९ वी - Maharashtra State Board Question Bank Solutions for Algebra

Subtract the second polynomial from the first.

`2x^2 + 3x + 5 ; x^2 -2x + 3`

Multiply the following polynomial.

`(m^3 - 2m + 3)(m^4 - 2m^2 + 3m + 2)`

Multiply the following polynomial.

`(5m^3 - 2) (m^2 - m + 3)`

Simplify.

(8m² + 3m − 6) − (9m − 7) + (3m² − 2m + 4)

Which polynomial is to be subtracted from x² + 13x + 7 to get the polynomial  3x² + 5x − 4?

Which polynomial is to be added to 4m + 2n + 3 to get the polynomial 6m + 3n + 10?

If a : b = 3 : 1 and b : c = 5 : 1 then find the value of `a^2/ (7bc)`

Using the given diagram, express the following sets in the terms of A and B. {a, d, c, f}

Take the set of natural numbers from 1 to 20 as universal set and show set X using Venn diagram.

X = {x | x ∈ N, and 7 < x < 15}

If A = {a, b, c, d, e}, B = {c, d, e, f}, C = {b, d}, D = {a, e} then the following statement is true or false?

A ⊆ D

If A = {a, b, c, d, e}, B = {c, d, e, f}, C = {b, d}, D = {a, e} then the following statement is true or false?

D ⊆ B

If A = {a, b, c, d, e}, B = {c, d, e, f}, C = {b, d}, D = {a, e} then the following statement is true or false?

D ⊆ A

If A = {a, b, c, d, e}, B = {c, d, e, f}, C = {b, d}, D = {a, e} then the following statement is true or false? 

B ⊆ A

If A = {a, b, c, d, e}, B = {c, d, e, f}, C = {b, d}, D = {a, e} then the following statement is true or false?

C ⊆ A

A = {1, 3, 2, 7} then write any three subsets of A.

Write the subset relation between the sets.

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.

Write the subset relations between the following sets.

Mr. Kartarsingh (age 48 years) works in a private company. His monthly income after deduction of allowances is Rs. 42,000 and every month he contributes Rs. 3000 to GPF.  He has also bought Rs. 15,000 worth of NSC (National Savings Certificate) and donated Rs. 12,000 to the PM's Relief Fund. Compute his income tax.

Compute the income tax payable by following individual.

Mr. Kadam who is 35 years old and has a taxable income of Rs. 13,35,000.