SSC MTS 2024 PYQ — Question 1

SSC MTS - 09/10/2024 - (12:30 PM - 2:30 PM) • Quantitative Aptitude • Q1

A conical tent is to accommodate 12 persons. Each person must have 5 m2 of the space on the ground and 20 m3 of air to breathe. The height of the tent should be:

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 12m.

Total ground area = 12 × 5 = 60 m²

Total volume = 12 × 20 = 240 m³

Volume of cone = (1/3) × (base area) × height = (1/3) × 60 × h = 20h

So 20h = 240 ⇒ h = 12 m