A shopkeeper buys goods worth ₹ 5,000 and sells them at a profit of 10%. If the rate of GST is 5%, then bill amount is :

1. ₹ 6000

2. ₹ 525

3. ₹ 5775

4. ₹ 5250

If the discriminant of quadratic equation ax² + bx + c = 0 is equal to zero, then the two equal roots are :

1. $\dfrac{b}{2a} \text{ and } \dfrac{b}{2a}$

2. $-\dfrac{b}{2a} \text{ and } -\dfrac{b}{2a}$

3. $\dfrac{a}{2b} \text{ and } \dfrac{a}{2b}$

4. $-\dfrac{a}{2b} \text{ and } -\dfrac{a}{2b}$

If a : b = b : c, then a : c is equal to :

1. b : a

2. b² : a²

3. a² : b²

4. b : c

In △ ABC, DE // BC, AD = a, DB = b and BC = x, then, DE is equal to :

1. $\dfrac{a + b}{ax}$

2. $\dfrac{a + b}{a}$

3. $\dfrac{ax}{a + b}$

4. $\dfrac{a}{a + b}$