Mensuration 2D

Quantitative Aptitude (MTS)

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Indian Economy - Understanding the basics of Indian economic system

What is the length of the longest pole that can fit itself in a hall 60 feet long, 30 feet broad and 20 feet high?

This questions was previously asked in

SSC MTS 21st July 2022 Shift-3

70 feet

20 feet

50 feet

30 feet

- To find the longest pole that can fit in the hall, calculate the hall's diagonal using the 3D Pythagorean theorem.

- The formula for the 3D diagonal is \(\sqrt{(length^2 + width^2 + height^2)}\).

- For this hall, it calculates to \(\sqrt{(60^2 + 30^2 + 20^2)}\).

- This simplifies to \(\sqrt{(3600 + 900 + 400)} = \sqrt{4900}\).

- The square root of 4900 is 70.

- Therefore, the longest pole that can fit in the hall is 70 feet.

- Option 1: 70 feet is correct.

- Option 2: 20 feet is too short.

- Option 3: 50 feet is not the longest.

- Option 4: 30 feet is not the longest.