Algebra Set D 2015-2016 SSC (English Medium) 10th Standard Board Exam Question Paper Solution

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

Find the value of a, b, c in the following quadratic equation : 2x² ‒ x ‒ 3 = 0

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

Find the value of the determinate:

`|(4,-2),(3,1)|`

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

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

If for an A.P. the first term is 2 and the common difference is 3, then find first three-term of A.P.

Solve the following quadratic equation using factorization method:
`"x"^2-11"x"+24=0`

If the value of determinants `|(3, 4),(-2, "x")|` is 23, then find the value of` x.

A die is thrown, then find the probability of the following events:

A is an event: getting a perfect square.

B is an event: getting a prime number.

Below is the given frequency distribution of words in an essay:

Find the mean number of words written.

The marks obtained by a student in an examination are given below:

Represent the data using pie diagram.

Solve the equation by using the formula method. 3y² +7y + 4 = 0

There are three boys and two girls. A committee of two is to be formed. Find the probability of the following events:
Event A: The committee contains at least one girl
Event B: The committee contains one boy and one girl

The measurements (in mm) of the diameters of the head of the screws are given below :

Calculate the mean diameter of the head of a screw by the ' Assumed Mean Method'.

The marks scored by students in Mathematics in a certain examination are given below :

Draw histogram for the above data.

Draw the frequency polygon for the following frequency distribution

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

Solve the following simultaneous equations.
\[\frac{7}{2x + 1} + \frac{13}{y + 2} = 27 ; \frac{13}{2x + 1} + \frac{7}{y + 2} = 33\]

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.

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

Find the sum of all numbers from 50 to 350 which are divisible by 6. Hence find the 15^th term of that A.P.

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.