SSC (Marathi Semi-English) 10th Standard Board Exam [इयत्ता १० वी] - Maharashtra State Board Important Questions for Algebra

A three digit number is equal to 17 times the sum of its digits. If 198 is added to the number, the digits are interchanged. The addition of first and third digit is 1 less than middle digit. Find the number.

Solve the following quadratic equation for x: `4x^2 + 4bx – (a^2 – b^2) = 0`

Write the first two terms of the sequence whose nth term is t_n = 3n ‒ 4.

Choose the correct alternative answer for the following question.

If n(A) = 2, P(A) = `1/5`, then n(S) = ?

A milk centre sold milk to 50 customers. The table below gives the number of customers and the milk they purchased. Find the mean of the milk sold by direct method.

Write the quadratic equation whose roots are ‒2 and ‒3.

The divisor and quotient of the number 6123 are same and the remainder is half the divisor. Find the divisor.

If α + β = 5 and α³ +β³ = 35, find the quadratic equation whose roots are α and β.

If the quadratic equation px² − 2√5px + 15 = 0 has two equal roots then find the value of p.

Which one is the quadratic equation?

Choose the correct answer for the following question.
Out of the following equations which one is not a quadratic equation?

The 11^th term and the 21^st term of an A.P. are 16 and 29 respectively, then find:
(a) The first term and common difference
(b) The 34^th term
(c) ‘n’ such that t_n = 55

How many three digit natural numbers are divisible by 5?

In the format of GSTIN, there are ______ alpha-numerals.

Write the sample space for selecting a day randomly of the week.

In a certain race, there are three boys A, B, C. The winning probability of A is twice than B and the winning probability of B is twice than C. If P(A) + P(B) + P(C) = 1, then find the probability of win for each boy.

Find the class mark of the classes 20-30 and 30-40.

Which number cannot represent a probability?

Two coins are tossed simultaneously. Write the sample space ‘S’.

For a certain frequency distribution, the value of Mean is 101 and Median is 100. Find the value of Mode.