Table of Contents
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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