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Fun Mathematical Problems I Trivia Quiz

Some questions dealing with logics and easy statistics... Enjoy

A multiple-choice quiz by wimm. Estimated time: 4 mins.

Author
wimm

Time
4 mins

Type
Multiple Choice

Quiz #
48,250

Updated
Dec 03 21

# Qns
5

Difficulty
Average

Avg Score
3 / 5

Plays
7383

One at a Time - Single Page - Timed Game

Question 1 of 5

1. I don't know you and you don't know me. But I know how big is the probability that we both celebrate our birthday on the same day. And you?

Answer: (number : number with a colon between numbers- assume regular years, not leap years)

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Question 2 of 5

2. A teacher has 10 pupils in his classroom. He has 1 gift to give to one of his students. He writes down a number on a piece of paper and says to the first student: pick a number between 1 and 10, if you guess the number then you get the present... If not, I'll continue with the rest of the class. The boy in the back starts crying and says 'it is not fair, I don't have an equal chance'. Supposing no one picks the same number twice, is he (the boy) right?

Yes

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Question 3 of 5

3. Fill in the blank: 1, 2, 3, 5, 8, 13, 21, ... ?

Answer: (number)

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Question 4 of 5

4. Can 234567 be divided by 9 (resulting in a natural number, that is)?

Yes

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Question 5 of 5

5. Fill in the blank: 0, 2, 6, 14, 30, ... ?

Answer: (number)

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Nov 30 2024 : Guest 73: 3/5
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Quiz Answer Key and Fun Facts

1. I don't know you and you don't know me. But I know how big is the probability that we both celebrate our birthday on the same day. And you?

Answer: 1:365

My birthday doesn't matter, I can choose any day of the year (365:365). That leaves one day in a year for you to have the same birthday as me, so 1 : 365 is the answer. Or, when we're in a leap year, it has to be recalculated of course.

Answer: no

He's wrong and the teacher was fair (as always, duh). The first student has a chance of 1:10 to pick the right number. The second one gets a shot when the first one guessed wrong (odds 9:10) and he has then a chance of 1:9 (because there are only 9 possible numbers left), in total that makes (9:10) x (1:9) = 1:10.

The third gets his shot when the first AND the second have guessed wrong (9:10)x(8:9) and has then 1:8 chance to guess the right number, in total this makes (9:10) x (8:9) x (1:8) = 1:10. And so on, and so on...

3. Fill in the blank: 1, 2, 3, 5, 8, 13, 21, ... ?

Answer: 34

Starting from the third number, the number is the sum of the two preceding numbers... So 13 + 21 = 34.

4. Can 234567 be divided by 9 (resulting in a natural number, that is)?

Answer: Yes

To check if a number can be divided by 9, you have to make the sum of every digit in that number. If this sum can be divided by 9, then the original number can be also. 2+3+4+5+6+7 = 27, and 27:9 = 3...

5. Fill in the blank: 0, 2, 6, 14, 30, ... ?

Answer: 62

Different ways to get there. The difference between two following numbers is a power of 2 (2, 4, 8, 16, 32). Or, starting from the second number, it is the preceding number + 1 multiplied with 2. (0+1)x2=2, (2+1)x2= 6, ...

Source: Author wimm

This quiz was reviewed by FunTrivia editor rossian before going online.
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