Through the 2nd Quarter Olympiad, the sixteenth yr appeared a query that made it tough for the contestants to reply. The content material of the Olympia query is as follows: “Discover the smallest 3-digit pure quantity whose sum and product of the digits are equal.”

Instantly after listening to the reply, the candidate instantly answered 111 and didn’t appropriate his consequence. Nonetheless, MC Tung Chi introduced that this candidate’s reply was incorrect. Then one other contestant received the precise to reply and rating with reply 123.

This Olympia query might be defined as follows: Shortly calculate the digits that make up the quantity 123, we could have the sum: 1+2+3 = 6. The product of those 3 numbers is: 1x2x3=6. Subsequently, the reply 123 satisfies the necessities of the issue as a result of the sum and product of the digits that make up the quantity are equal.

The Highway to Olympia is at all times a gorgeous contest with various and difficult information questions that problem the considering of candidates. Earlier than that, after that, the query within the closing of the twenty first yr was equally “headache”. The Olympia query reads: “A pupil writes on the board 10 pure numbers from 1 to 10 after which performs the next recreation: Every time that pupil deletes any two numbers a and b after which writes on the board (a + b + 1). If you happen to play in a row, what quantity is left on the board?

To reply the query, candidates must make the next inferences:

“Delete a, delete b after which rewrite the quantity (a+b+1) then the sum will improve by 1. If you happen to do that 9 occasions, the sum will improve by 9.

The preliminary sum of 10 consecutive pure numbers is: 1 + 2 + 3 + … + 10 = 55, elevated by 9 will make 55 + 9 = 64″.

So the reply to this Olympia query is 64.