## Ralph Likes 25 But Not 24; He Likes 400 But Not 300; He Likes 144 But Not 145. Which Does He Like

Question

1. Ralph is a very peculiar person. He likes 25 but not 24; he likes 400 but not 300; he likes 144 but not 145.

Which does he like?

When this was first published, Ralph liked 25 but not 24; he liked 400 but not 300; he liked 144 but not 145.

It is time for you to make your choice, based on the information presented.

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In conclusion, Ralph likes 25 but not 24; he likes 400 but not 300; he likes 144 but not 145. Which does he like?

2. Ralph is a very peculiar person. He likes the number 25, but not 24. He likes 400, but not 300. He likes 144, but not 145. What is it about certain numbers that make them so appealing to Ralph?

The mystery of Ralph’s unique number choices may be explained by looking at the numbers through a mathematical lens. When looking at the numbers 25, 400, and 144, three important properties become clear.

The first property is divisibility. 25 and 400 are both divisible by 5, meaning that they can both be divided evenly by 5. This means that when you divide 25 by 5, or 400 by 5, you get 5. Divisibility can be used to help understand why Ralph likes 25 and 400, but not 24 or 300.

The second property, which is related to divisibility, is the fact that 25, 400, and 144 all have factors of 2. Factors of 2 are numbers that are divisible by 2, like 4, 8, 16, and 32. This means that when you divide 25 by 2, or 400 by 2, you get 12.5 or 200. Similarly, when you divide 144 by 2, you get 72.

The third property that 25, 400, and 144 share is the fact that they are all perfect squares. A perfect square is a number that is the result of multiplying a number by itself. 25 is 5 squared, 400 is 20 squared, and 144 is 12 squared. This means that when you square 25, or 400, you get 625 or 160000. Similarly, when you square 144, you get 20736.

These three properties can help explain why Ralph likes 25 and 400, but not 24 or 300. Divisibility and factors of 2 create a pattern of numbers that Ralph seems to be attracted to. Perfect squares provide an interesting challenge for Ralph, as he can enjoy the challenge of finding the perfect square of a number.

Regardless of why Ralph likes 25 and 400, but not 24 or 300, one thing’s for sure. He definitely likes 144, but not 145.

3. Ralph is a special four-year-old who has an interesting way of looking at numbers. He likes some of them and not others, which can make it hard to predict which ones he will like next.

For instance, Ralph loves the number 25 but cannot stand 24. He also enjoys the number 400 but finds 300 rather dull. Interestingly enough, Ralph is fond of 144 yet does not care for 145 in the slightest. This leaves many people scratching their heads as to what other numbers Ralph may find noteworthy or unappealing.

Do you think you can guess which number Ralph likes? If so, put your prediction to the test and see if you’re correct!