Question

Solve this puzzle:
Here is a list showing the month and a number for each month
January $$71313$$
February $$82382$$
March $$53113$$
April $$54203$$
May $$35113$$
June $$46203$$
July $$47113$$
August $$68313$$
Decipher the logic and find the number for September.

Answer 1

Hint: In the given question, a number is assigned to each month as shown above. We are supposed to find the number for September. To do so, we need to find the pattern. There is a way in which the numbers are assigned to each month. If we figure that out, we can use the same and find out for September.

Complete step-by-step answer:
Let us consider all the given months with their respective numbers.
Now, consider the first digit. Let us compare two of them to find the pattern
The first digit for March is $$5$$ and for June it is $$4$$ . We can see that this is the number of letters in the name of the month.
The second digit however, is in an order, $$1,2,3,4,5,6,7,8$$ which represents the order of the month.
Example, February is the $${2^{nd}}$$ month of the year.
For the third digit, let us consider January and May. The third digits of these months are $$3$$ and $$1$$ respectively. What we can observe here is that, this number represents the number of vowels present in the month’s name. So, the third digit represents the number of vowels.
We now see a pattern in all the months for the last two digits. That is, $$13,03,82$$. If we reverse these digits, we get the number of days in that month. That is, August has $$31$$ days. If we reverse the digits, it becomes $$13$$ which is the last two digits.
Now, we have this pattern:

First digit- Number of letters in the name
Second digit- Order of month
Third digit- Number of vowels in the name
Fourth and fifth digit- Reverse the number of days in the month
Considering the above, we get $$99303$$ for September.

Note: The pattern is very simple but we need to consider each number and each digit. All we have to do is compare two or more of the given numbers and observe carefully. There are some digits that we can identify just by looking, like the order of the month, but some are tricky. So, we need to compare and observe.