SSC (Marathi Semi-English) इयत्ता ९ वी - Maharashtra State Board Question Bank Solutions

In  ΔABC, the measure of angle A is equal to the sum of the measures of ∠B and ∠C. Also the ratio of measures of ∠B and ∠C is 4 : 5. Then find the measures of angles of the triangle.

Divide a rope of length 560 cm into 2 parts such that twice the length of the smaller part is equal to `1/3` of the larger part. Then find the length of the larger part.

In a competitive examination, there were 60 questions. The correct answer would carry 2 marks, and for incorrect answer 1 mark would be subtracted. Yashwant had attempted all the questions and he got total 90 marks. Then how many questions he got wrong?

A two digit number is 3 more than 4 times the sum of its digits. If 18 is added to this  number, the sum is equal to the number obtained by interchanging the digits. Find the  number.

The total cost of 8 books and 5 pens is 420 rupees and the total cost of 5 books and 8 pens is 321 rupees. Find the cost of 1 book and 2 pens.

The ratio of incomes of two persons is 9 : 7. The ratio of their expenses is 4 : 3. Every person saves rupees 200, find the income of each.

The sum of a two digit number and the number obtained by interchanging its digits is 99. Find the number.

The distance between two places A and B on road is 70 kilometers. A car starts from A and the other from B. If they travel in the same direction, they will meet after 7 hours. If they travel towards each other they will meet after 1 hour, then find their speeds.

Divide the following polynomial by synthetic division method and also by linear division method. Write the quotient and the remainder.

(2m² − 3m + 10) ÷ (m − 5)

Divide of the following polynomial by synthetic division method and also by linear division method. Write the quotient and the remainder.

`(x^4 + 2x^3 +3x^2 + 4x + 5) ÷ (x + 2)`

Divide the following polynomial by synthetic division method and also by linear division method. Write the quotient and the remainder.

`(y^3 - 216) ÷ (y - 6)`

Divide the following polynomial by synthetic division method and also by linear division method. Write the quotient and the remainder.

`(2x^4 + 3x^3 + 4x - 2x^2) ÷ (x + 3)`

Divide the following polynomial by synthetic division method and also by linear division method. Write the quotient and the remainder.

`(x^4 - 3x^2 - 8) ÷ (x + 4)`

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

`(5a + 3b)/( 5a - 3b)`

Divide the following polynomial by synthetic division method and also by linear division method. Write the quotient and the remainder.

`(y^3 - 3y^2 + 5y - 1) ÷ (y - 1)`

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

`(2a^2 + 3b^2)/(2a^2 - 3b^2)`

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)`