Ralph likes 25 but not 24; he likes 400 but not 300; he likes 144 but not 145. Which does he like:
Answers
The following is a conversation between a mathematics teacher and his student, Ralph.
Teacher:- Mr. Ralph, I heard that you have a certain taste over a few numbers like 25, 144 and 400 above any other number. I mean we all know that these numbers are perfect squares of 5, 12 and 20 respectively but what is it that makes these numbers so special for you.
Ralph:- Yes Sir, you are right these are all perfect squares and I do have a certain taste for perfect squares. Moreover the reason behind 25, 144 and 400 being my favourite numbers are:_
25 is the smallest square which can be written as the sum of two positive squares,
144 is the largest square in the Fibonacci sequence and
400, well I love cricket and apart from being the perfect square of 20, 400 is the highest individual score in the history of test cricket made by Sir Brain Charles Lara of West Indies against England in the year 2004 and a fascinating fact about 2004 is that it has a square whose last 3 digits are the same as the 3 digits before that.
Answer:
He likes square numbers!!
Step-by-step explanation:
25 has a whole number as a square -> 5. But 24 hasn't a whole number as its square.
400 has a square number -> 20. But 300 hasn't a whole number as its square. Same goes with 144 and 145. Check it out.