A total of 37 full Moons happen during 3 years in a solar calendar. Show that at least Class 8

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Science Class 8 Science 136 views May 14, 2026 Reviewed & updated Sep 17, 2026
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A total of 37 full Moons happen during 3 years in a solar calendar. Show that at least Class 8

A total of 37 full Moons happen during 3 years in a solar calendar. Show that at least two of the 37 full moons must happen during the same month of the solar calendar. Class 8

Answer:

Step-by-step logic:

  1. A solar calendar year has 12 months.
  2. So, in 3 years, there are 12 x 3 = 36 months.
  3. But we are told there are 37 full Moons in those 3 years.

If we try to place 37 full Moons into 36 months, then at least one month must contain more than one full Moon.

Therefore, at least two of the 37 full Moons must happen during the same month.

This is why we sometimes get a "Blue Moon"-two full Moons in one calendar month.

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