**Directions (1 -4): In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer**

(a) if x>y

(b) if x≥y

(c) if x<y

(d) if x ≤y

(e) if x = y or no relation can be established between x and y.

**Directions (5-10): In the following questions, two equations numbered I and II are given. You have to solve both the equations and give answers among the following options.**

(a) if x>y

(b) if x≥y

(c) if x<y

(d) if x ≤y

(e) if x=y or the relationship cannot be established.

**Directions (11-15): In the given questions, two quantities are given, one as ‘Quantity I’ and another as ‘Quantity II’. You have to determine relationship between two quantities and choose the appropriate option:**

**Q11. A circle with center ‘o’ is circumscribed with an equilateral triangle ABC of side 24√3 cm**

Quantity I – Find the height of triangle.

Quantity II – Find the length of rectangle having perimeter 120 cm and breadth equal to radius of circle.

(a) Quantity I > Quantity II

(b) Quantity I < Quantity II

(c) Quantity I ≥ Quantity II

(d) Quantity I ≤ Quantity II

(e) Quantity I = Quantity II or no relation

**Q12. Quantity I: A man has two solid balls. Ratio between radius of first ball and second ball is 4 : 3. If man cut the second ball from middle then difference between total surface area of first ball and total surface area of a part of second ball is 1424.5 cm². Find value of radius of bigger ball? **

**Quantity II: Height of a cylindrical vessel is equal to side of a square, having area is 256 cm². If volume of cylindrical vessel is 22176 cm³ then find the radius of cylindrical vessel.**

(a) Quantity I > Quantity II

(b) Quantity I < Quantity II

(c) Quantity I ≥ Quantity II

(d) Quantity I ≤ Quantity II

(e) Quantity I = Quantity II or no relation

**Q14. Quantity 1: Curved surface area of sphere is 616 sq.m. Find curved surface area of cylinder (sq.m.) if the sphere is melted to form a cylinder of height 28/3 m.**

**Quantity 2: Curved surface area of sphere is 616 sq.m. Find curved surface area of cylinder (sq.m.) if the cylinder can completely fit inside the sphere such that top & bottom of cylinder lies on surface of sphere. Radius of cylinder = 7 m.**

(a) Quantity 1 > Quantity 2

(b) Quantity 1 ≥ Quantity 2

(c) Quantity 2 > Quantity 1

(d) Quantity 2 ≥ Quantity 1

(e) Quantity 1 = Quantity 2 or Relation cannot be established

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