Question : A big cube is formed by arranging the 160 coloured and 56 non-coloured similar cubes in such a way that the exposure of the coloured cubes to the outside is minimal. The percentage of exposed area that is coloured is:

Option 1: 25.9%

Option 2: 44.44%

Option 3: 35%

Option 4: 46%

Question : Directions: Select the dice that can be formed by folding the given sheet in the form of a cube.

Option 1: 1 and 4 can be formed

Option 2: Only 3 can be formed

Option 3: Only 2 can be formed

Option 4: None can be formed

Question : Identify the sentence that correctly uses the indefinite article.

Option 1: Cloud seeding involves use of chemicals that target rain-bearing clouds above a catchment area such as an river, reservoir or an lake.

Option 2: Cloud seeding involves use of chemicals that target rain-bearing clouds above a catchment area such as a river, reservoir or a lake.

Option 3: Cloud seeding involves use of chemicals that target rain-bearing clouds above an catchment area such as a river, reservoir or an lake.

Option 4: Cloud seeding involves use of chemicals that target rain-bearing clouds above an catchment area such as an river, reservoir or a lake.

Question : A 9 cm solid metallic cube and a solid metallic cuboid having dimensions 5 cm, 13 cm, and 31 cm are melted and recast into a single cube, What is the total surface area (in cm²) of the new cube?

Option 1: 865

Option 2: 1176

Option 3: 1362

Option 4: 2744

Question : A right circular cylinder of the maximum possible size is cut out from a solid wooden cube. The remaining material of the cube is what percentage of the original cube? (Take $\pi=3.14$)

Option 1: 22.4

Option 2: 21.5

Option 3: 22.8

Option 4: 21.8

Question : The sum of the digits of a two-digit number is 10. The number formed by reversing the digits is 18 less than the original number. Find the original number.

Option 1: 81

Option 2: 46

Option 3: 64

Option 4: 60