Algebra B 2016-2017 SSC (English Medium) 10th Standard Board Exam Question Paper Solution

Write the two terms of the A.P. 2,5,8,11,...

Write the quadratic equation 7 = 4x - x² in the form of ax²+bx + c = 0.

Find the value of the determinant: `|(-3,8),(6,0)|`

A coin is tossed. For this random experiment write the sample space and find n(S).

Find the class mark of class 10 - 20.

For the quadratic equation 3x² + 2x - 1 = 0 , find the value of the discriminant. 

Write the 25th term of an A.P. 12,16,20,24, ....... 

Find k, one of the roots of the quadratic equation kx² - 7x + 12 = 0 is 3.

For solving the following simultaneous equations by Cramer's rule, find the value of D_x and D_y : 3x - y = 7;
x + 4y = 11 

If two coins are tossed, then find the probability of the event: No heads turns up.

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

The following diagram represents expenditure on different items in constructing a building.
If the total construction cost of a building is Rs.540000, answer the following questions :

Find the central angle for labour expenditure.

The following diagram represents expenditure on different items in constructing a building.
If the total construction cost of a building is Rs.540000, answer the following questions :

Find the expenditure on labour.

Solve the following quadratic equation by completing square: z² + 4z - 7 = 0.

Two dice are thrown. Find the probability of the following events:

Event A : The product of the numbers on their upper faces is 10.

Event B : The sum of the numbers on their upper faces is 10 

The following is the distribution of the size of certain farms from a taluka (tehasil):

Find median size of farms.

Area under different crops in a certain village is given below. Represent it by  pie diagram:

Draw the frequency polygon for the following frequency distribution :

In a certain race, there are three boys X,Y, Z. The winning probability of X is twice than Y and the winning probability of Y is twice than Z. If P(X) + P(Y) + P(Z) = 1, then find the winning probability of each girl.

If the second term and the fourth term of an A.P. are 12 and 20 respectively, then find the sum of first 25 terms:

Solve the following simultaneous equations.

`27/(x -2) + 31/(y + 3) = 85, 31/(x -2) + 27/(y + 3) = 89`

The product of four consecutive positive integers is 840. Find the numbers.

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.

Find the sum of all numbers from 50 to 350 which are divisible by 4. Also, find the 15th term.