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CAT 2020 Geometry & Mensuration — Previous Year Question

Year

CAT 2020

Section

Quantitative

Topic

Geometry & Mensuration

Difficulty

Medium

Question

Slot-1

In the given question, two quantities are given, one as 'Quantity I' and another as 'Quantity II'. Determine the relationship between the two quantities and choose the appropriate option:

The length of the body diagonal of a cube is 60360\sqrt{3} cm. The cube is melted and formed into smaller cubes with side 4 cm each, or alternatively melted and formed into cuboids each having length 8 cm, width 5 cm & height 2 cm.

Quantity I: Find the difference between the increase in total surface area of all smaller cubes with respect to the original cube, and the increase in total surface area of all cuboids formed with respect to the original cube (in m2m^2). Quantity II: 3.16 m2m^2

Quantity I > Quantity II

Quantity I < Quantity II

Quantity I ≥ Quantity II

Quantity I ≤ Quantity II

Quantity I = Quantity II or no relation

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