Comprehension

Directions (Q. Nos. 33 to 35):
One hundred and twenty five cubes of the same size are arranged in the form of a cube on a table. Then a column of five cubes is removed column from each of the four comers. All the exposed faces of the rest of the solid (except the face touching the table) are coloured red. Now, answer these questions based on the above statement:

How many small cubes are there in the solid after the removal of the columns?

This question was previously asked in
OPSC ASO (Maths & Reasoning) 27 Aug 2022 Official Paper
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  1. 120
  2. 110
  3. 105
  4. 100

Answer (Detailed Solution Below)

Option 3 : 105
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Detailed Solution

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According to the question:

1) One hundred and twenty five cubes of the same size are arranged in the form of a cube on a table.

2) Then a column of five cubes is removed column from each of the four comers.

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3) All the exposed faces of the rest of the solid (except the face touching the table) are coloured red. 

qImage6854667333cdddb7236874a4

So, number of small cubes are there in the solid after the removal of the columns = 125 - (5 × 4)

= 125 - 20 105

Hence, "Option 3" is the correct answer.

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