Logic Q

[phylay]

Originally posted by evanescence
les problemes dabitude posted by phylay ,I hope he win't mind I copied him

FORTY + TEN + TEN =SIXTY

Easy! many possible solutions:
29786 + 850 + 850 = 31486

[phylay]

The math teacher addressed the class. "I have chosen a positive integer (base 10). It has 4 digits, none of which are 0. I have calculated the sum of its digits, the sum of the squares of its digits, and the product of its digits, and no 2 of these 3 quantities has the same number of digits. Consider the following 9 statements:
(1) The number is a prime.
(2) The sum of its digits is a prime.
(3) The sum of the squares of its digits is a prime.
(4) The number is a square.
(5) The sum of its digits is a square.
(6) The sum of the squares of its digits is a square.
(7) The number is triangular.
(8) The sum of its digits is triangular.
(9) The sum of the squares of its digits is triangular.

You must use them to determine the number."
"But they can't all be true!", interjected one of the students.
"I never said they were! Some of the statements are true and some are false."
"Well we will need more information. Tell us which are true and which are false."
"If I told you that you would easily be able to determine the number!"
"Well at least tell us how many are true."
"If I told you that now, you would be able to determine the number too easily!"
"Well, what more can you tell us?"
"Nothing! I have told you enough!"

What was the number?

[Amina-DZ]

Originally posted by evanescence
Voila another exercice more interesting than the first :

ERE x
ORE
____

--- +
---
_____
ORARE

There are two solutions, but find the one in witche the sum of the vowels equals 10 in the final results, meaning ORARE
Sont des mots roumains ere= eres(epoque), ore= heures, orare= horraires

Did you make it up yourself? It's very easy

There are more than 2 solutions

101 x 201 = 20301

101 x 301 = 30401

101 x 401 = 40501

101 x 501 = 50601

101 x 601 = 60701

101 x 701 = 70801

101 x 801 = 80901

[Amina-DZ]

Originally posted by phylay
Easy! many possible solutions:
29786 + 850 + 850 = 31486

I think that's the only one actually!

[phylay]

Originally posted by Amina-DZ

Originally posted by phylay
Easy! many possible solutions:
29786 + 850 + 850 = 31486

I think that's the only one actually!

Lool, didn't check the rest

[Amina-DZ]

Originally posted by phylay
(1) The number is a prime.
(2) The sum of its digits is a prime.
(3) The sum of the squares of its digits is a prime.
(4) The number is a square.
(5) The sum of its digits is a square.
(6) The sum of the squares of its digits is a square.
(7) The number is triangular.
(8) The sum of its digits is triangular.
(9) The sum of the squares of its digits is triangular.

Triangular numbers!!! Are you kidding me?! I need to write them all down and it's tedious, I'll assume it's either prime or square although I don't think all the sums could be prime!

[evanescence]

Originally posted by Amina-DZ

Originally posted by evanescence
Voila another exercice more interesting than the first :

ERE x
ORE
____

--- +
---
_____
ORARE

There are two solutions, but find the one in witche the sum of the vowels equals 10 in the final results, meaning ORARE
Sont des mots roumains ere= eres(epoque), ore= heures, orare= horraires

Did you make it up yourself? It's very easy

There are more than 2 solutions

101 x 201 = 20301

101 x 301 = 30401

101 x 401 = 40501

101 x 501 = 50601

101 x 601 = 60701

101 x 701 = 70801

101 x 801 = 80901

pas comme ca, pas la bonne reponse :d