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Find the square of 225.(a) 505625(b) 49625(c) 50625(d) 51625The question was posed to me in an internship interview.This is a very interesting question from Finding the Square of a Number in section Squares and Square Roots of Mathematics – Class 8

Answer»

Right choice is (c) 50625

Easy explanation: There is a beautiful pattern followed by all the numbers ending with 5. We can GET the square of any number ending with 5 without actually CALCULATING it. All the numbers ending with 5 shows 25 at the end of their squares, and the other PLACES can be filled by multiplying the next consecutive number. For example: 225^2 = (22×23)25 i.e.50625 (the step SHOWN is just for understanding).



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