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# Question Bank Solutions for SSC (English Medium) Class 10th Board Exam - Maharashtra State Board

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

Concept: Quadratic Equations Examples and Solutions

For a sequence if n S_n=n/(n+1) then find the value of S10.

 Arithmetic Progression
Chapter:  Arithmetic Progression
Concept: Introduction to Sequence

The following data shows the number of students using different modes of transport:

 Modes of Transport Number of Students Bicycle 140 Bus 100 Walk 70 Train 40 Car 10

From this table, find the central angle (θ) for the Mode of Transport ‘Bus’.

 Statistics
Chapter:  Statistics
Concept: Tabulation of Data

Find the first two terms of the sequence for which Sn is given below: S_n=n^2(n+1)

 Arithmetic Progression
Chapter:  Arithmetic Progression
Concept: Introduction to Sequence

How many three digit natural numbers are divisible by 5?

 Arithmetic Progression
Chapter:  Arithmetic Progression
Concept: Introduction to Sequence

If one of the roots of the quadratic equation x2 - 11x  + k = 0 is 9, then find the value of k

Concept: Quadratic Equations Examples and Solutions

Concept: Quadratic Equations Examples and Solutions

Decide whether the following equation is quadratic equation or not.

x2 + 5x – 2 = 0

Concept: Quadratic Equations Examples and Solutions

Complete the following activity to solve the simultaneous equations.
5x + 3y = 9 -----(I)
2x + 3y = 12 ----- (II)

 Linear equations in two variables
Chapter:  Linear equations in two variables
Concept: Introduction of System of Linear Equations in Two Variables

Solve the following simultaneous equation.
3a + 5b = 26; a + 5b = 22

 Linear equations in two variables
Chapter:  Linear equations in two variables
Concept: Introduction of System of Linear Equations in Two Variables

Decide whether the following equation is quadratic equation or not.

y= 5y – 10

Concept: Quadratic Equations Examples and Solutions

Decide whether the following equation is quadratic equation or not.

$y^2 + \frac{1}{y} = 2$

Concept: Quadratic Equations Examples and Solutions

Solve the following simultaneous equation.
x + 7y = 10; 3x – 2y = 7

 Linear equations in two variables
Chapter:  Linear equations in two variables
Concept: Introduction of System of Linear Equations in Two Variables

Solve the following simultaneous equation.
2x – 3y = 9; 2x + y = 13

 Linear equations in two variables
Chapter:  Linear equations in two variables
Concept: Introduction of System of Linear Equations in Two Variables

Solve the following simultaneous equation.
5m – 3n = 19; m – 6n = –7

 Linear equations in two variables
Chapter:  Linear equations in two variables
Concept: Introduction of System of Linear Equations in Two Variables

Solve the following simultaneous equation.
5x + 2y = –3; x + 5y = 4

 Linear equations in two variables
Chapter:  Linear equations in two variables
Concept: Introduction of System of Linear Equations in Two Variables

Decide whether the following equation is quadratic equation or not.

$x + \frac{1}{x} = - 2$

Concept: Quadratic Equations Examples and Solutions

Decide whether the following equation is quadratic equation or not.

(m + 2) (m – 5) = 0

Concept: Quadratic Equations Examples and Solutions

Decide whether the following equation is quadratic equation or not.

m+ 3m2 – 2 = 3m3

$\frac{1}{3}x + y = \frac{10}{3}; 2x + \frac{1}{4}y = \frac{11}{4}$