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

If 3x + 2y = 10 and 2x + 3y = 15, then find the value of x + y.

Find the common difference of the A.P 3, 5, 7, ..........

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

Write the following quadratic equation in standard form ax² + bx + c = 0 : x (x + 3) = 7

If Σf_i = 25 and Σf_ix_i = 100, then find the mean (`bar"x"`) 

Find the value of a, b, c in the following quadratic equation: 2x² + 18 = 6x

Find the eighteenth term of the A.P: 1, 7, 13, 19, ............

Form the quadratic equation if the roots are 3 and 8.

Solve the following simultaneous equation using Cramer's rule 

4x + 3y = 4
6x + 5y = 8

In the following experiment write the sample space S, Number of sample points n(S), write the event P in set form and find n(P): 

Form two-digit numbers using the digit 0, 1, 2, 3, 4, without repeating the digits, P is the event, that the number so formed is even.

Find a certain frequency distribution, the value of mean and mode are 54.6 and 54 respectively. Find the value of median.

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

Draw a pie diagram to represent the above data.

Represent the following data by histogram:

A coin is tossed three time then find the probablity of the following events: 

A is an event of getting a head on middle coin.

B is an event of getting exactly one tail. 

The following table shows ages of 3000 patients getting medical treatment in a hospital on a particular day : 

Find the median age of the patients.

Solve the following quadratic equation by using formula method :

7y² - 5y - 2 = 0

Draw histogram and hence 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 the first term, common difference and the 34th term. 

If the point of intersection of ax + by = 7 and bx + ay = 5 is (3,1), then find the value of a and b.

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 probabilities of their winning.

Find the sum of all members from 50 to 250 which divisible by 6 and find t13.

Solve `9("x"^2 + 1/"x"^2) -3("x" - 1/"x") - 20 = 0`

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.