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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 S_{10}.

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’.

Concept: Tabulation of Data

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

Concept: Introduction to Sequence

How many three digit natural numbers are divisible by 5?

Concept: Introduction to Sequence

If one of the roots of the quadratic equation x^{2} - 11x + k = 0 is 9, then find the value of k

Concept: Quadratic Equations Examples and Solutions

Write any two quadratic equations.

Concept: Quadratic Equations Examples and Solutions

**Decide whether the following equation is quadratic equation or not.**

x^{2} + 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)

Concept: Introduction of System of Linear Equations in Two Variables

Solve the following simultaneous equation.

3a + 5b = 26; a + 5b = 22

Concept: Introduction of System of Linear Equations in Two Variables

**Decide whether the following equation is quadratic equation or not.**

y^{2 }= 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

Concept: Introduction of System of Linear Equations in Two Variables

Solve the following simultaneous equation.

2x – 3y = 9; 2x + y = 13

Concept: Introduction of System of Linear Equations in Two Variables

Solve the following simultaneous equation.

5m – 3n = 19; m – 6n = –7

Concept: Introduction of System of Linear Equations in Two Variables

Solve the following simultaneous equation.

5x + 2y = –3; x + 5y = 4

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^{3 }+ 3m^{2} – 2 = 3m^{3}

Concept: Quadratic Equations Examples and Solutions

Solve the following simultaneous equation.

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

Concept: Introduction of System of Linear Equations in Two Variables