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Instructions: Below question contains a statement followed by quantity 1 and quantity 2. You have to study the information along with the question and compare the value derived from quantity 1 and quantity 2, then answer. Quantity 1: Radius of a circle is twice the side of square, whose diagonal is 21√2 meter, find (1/22) of area of circle and (1/7) of area of square is what percent more than the area of triangle which base and height is 30 meter and 20 meter respectively? Quantity 2: A tank of cube shape with open top side, than find open side area of tank is what percent of total area of remaining sides of tank?

Instructions: Below question contains a statement followed by quantity 1 and quantity 2. You have to study the information along with the question and compare the value derived from quantity 1 and quantity 2, then answer. Quantity 1: Radius of a circle is twice the side of square, whose diagonal is 21√2 meter, find (1/22) of area of circle and (1/7) of area of square is what percent more than the area of triangle which base and height is 30 meter and 20 meter respectively? Quantity 2: A tank of cube shape with open top side, than find open side area of tank is what percent of total area of remaining sides of tank? Correct Answer Quantity 2 > Quantity 1

Given: diagonal of square = 21√2 meter

Radius of circle is double to side of square

Base of triangle = 30 meter

Height of triangle = 20 meter

Concept: diagonal of square = (√2) × side

Area of circle = (22/7) × r2

Area of square = side × side

Area of triangle = (1/2) × base × height

Area of each individual side of cube is same

Calculation:

Quantity 1.) Diagonal of square = (√2) × side

⇒ (√2) × 21 = (√2) × side

Side of square = 21 meter

And radius of circle =2 × 21

⇒ 42 meter

Area of square = side × side

Area of square = 21 × 21 meter2

Area of circle = (22/7) × r2

Area of circle = (22/7) × 42 × 42 meter2

(1/22) of area of circle + (1/7) of area of square

⇒ +

⇒ 252 +63

⇒ 315

Area of triangle = (1/2) × base × height

Area of triangle = (1/2) × 30 × 20

Area of triangle = 300 meter2

(1/22) of area of circle and (1/7) of area of square is what percent more than the area of triangle = × 100

⇒ 5%

Quantity 2.) ∵ Area of each individual side of cube is same

Total sides of cube = 6

1 side is open

Remaining side = 6 – 1 = 5

(Open side/remained side) × 100

⇒ (1/5) × 100

⇒ 20%

∴ Quantity 2 > Quantity 1

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