The sum of the numerator and the denominator of a fraction is 11. If 1 is added to the numerator and 2 is subtracted from the denominator, it becomes $\frac{2}{3}$. The fraction is:

The equations: x + 4y - 3 = 0 and 2x + 8y - 6 = 0 have

Which of the following pairs of linear equations is/are consistent?

A. $x + y = 5, 2x + 2y = 10$

B. $2x + y - 6 = 0, 4x - 2y - 4 = 0$

C. $x - y = 8, 3x - 3y = 16$

D. $x - 2y = 0, 3x + 4y - 20 = 0$

Choose the correct answer from the options given below:

Solve the linear equation for $x$:

$3x - 7 = 2x + 5$

Read the information given below carefully and answer the question that follows:

Question: How much does Ajay pay to his driver every month as Salary?

Statements:

i. Rakesh pays 20% more per month, to his driver than Ajay as Rakesh's driver has a 15 year experience. Moreover, Ajay pays 30% more per month than Karan as Karan's driver has mere 5 years of experience.

ii. As Karan would avail 10% discount on drivers's salary by paying for 6 months in advance, Karan paid his driver Rs 54000 for 6 months in advance.

Determine which of the following is True in order to solve the asked question?

Laxmi's father is 51 years old. He is three years older than three times Laxmi's age. The age of Laxmi is :

The intersection point on the Y- axis of $5x - 3y = 9$ is