UPSC Prelims 2020·CSAT·Quantitative Aptitude·Number System

If 1 litre of water weighs 1 kg, then how many cubic millimetres of water will weigh 0.1 gm?

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Last updated 23 May 2026, 3:31 pm IST
  1. A1
  2. B10
  3. C100Correct
  4. D1000

Explanation

Explanation: 1. Given: 1 litre of water weighs 1 kg. This means the density of water is 1 kg/litre. 2. Convert units to a consistent system (grams and cubic centimetres first): 1 kg = 1000 gm 1 litre = 1000 cm^3 So, the density of water = 1000 gm / 1000 cm^3 = 1 gm/cm^3. 3. We need to find the volume of water that weighs 0.1 gm. Volume = Mass / Density Volume = 0.1 gm / (1 gm/cm^3) = 0.1 cm^3. 4. Convert this volume from cubic centimetres to cubic millimetres: 1 cm = 10 mm 1 cm^3 = (10 mm)^3 = 1000 mm^3 Therefore, 0.1 cm^3 = 0.1 * 1000 mm^3 = 100 mm^3. Thus, 100 cubic millimetres of water will weigh 0.1 gm. The final answer is C) 100.
Quantitative Aptitude: If 1 litre of water weighs 1 kg, then how many cubic millimetres of water will weigh 0.1 gm?

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