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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.

[1] Arithmetic Progression
Chapter: [1] 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’.

[5] Statistics
Chapter: [5] 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)

[1] Arithmetic Progression
Chapter: [1] Arithmetic Progression
Concept: Introduction to Sequence

How many three digit natural numbers are divisible by 5?

[1] Arithmetic Progression
Chapter: [1] 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)

[3] Linear equations in two variables
Chapter: [3] 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

[3] Linear equations in two variables
Chapter: [3] 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

[3] Linear equations in two variables
Chapter: [3] 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

[3] Linear equations in two variables
Chapter: [3] 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

[3] Linear equations in two variables
Chapter: [3] 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

[3] Linear equations in two variables
Chapter: [3] 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

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