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Direction: Given below are two quantities named I and II. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose among the possible answers.
A conical pit of base radius ‘R’ cm and height ‘H’ cm is dug and from the mud that came out after digging, a certain number of cuboidal and cylindrical bricks are made in such a way that 22 bricks of each types are made. Dimension of each cuboidal brick is 14 cm * 4 cm * 4 cm, radius and height of each cylindrical brick is 7 cm and 4 cm. Ratio of R to H is 21: 40
Quantity I: Half of height of conical pit in centimeters
Quantity II: Two less than the total number of cuboidal bricks made from the mud
Quantity I > Quantity II
Quantity I < Quantity II
Quantity I ≥ Quantity II
Quantity I ≤ Quantity II
Quantity I = Quantity II or No relation
Let base radius and height of conical pit is 21x and 40x respectively
Volume of 22 cuboidal bricks + volume of 22 cylindrical bricks = volume of mud from conical pit
Quantity I: Half of height of conical pit =40x/2=20 cm
Quantity II: Two less than the total number of cuboidal bricks made = 22 – 2 = 20cm
So, Quantity I = Quantity II
So option (5) is the correct answer.
By: Munesh Kumari ProfileResourcesReport error
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