Question

An officer wants to arrange 202500 cadets in a form of a square.How many cadets are there in each row?

Answer 1

Given :Total number of cadets = 202500
Number of cadets to arrange in perfect square rows = 202500
number of rows = number of cadets in each row,
Total number of cadets = number of rows × number of cadets in each row
202500 = number of rows × number of cadets in each row
202500 = (Number of cadets in each row)²
Number of cadets in each row = √202500
Number of rows = √ (2×2)×(5×5)× (5×5)×(3×3) ×(3×3)
Number of cadets in each row = 2 × 5 ×5 × 3× 3 = 450

Hence the number of cadets in each row is 450 .
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