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Logical mathematical reasoning/Razonamiento lógico matemático. x4

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AdrenalineXV:
Pedro boasts that it is still young. If divides his age by 2,3,4,5 or 6 the remainder is 1. What is the age of Pedro?   Regards
A) 41
(B) 51
(C) 61
(D) 71


Pedro presume que es todavía joven. Si se divide su edad 2,3,4,5 o 6 el resto es 1. ¿Cuál es la edad de Pedro?   Saludos cordiales.
A) 41
(B) 51
(C) 61
(D) 71

[MAF]mooman:
I don't know if there's some smart way to calculate it but the answer is 61.

AdrenalineXV:

--- Quote from: [MAF]mooman on April 06, 2015, 12:35:45 am ---I don't know if there's some smart way to calculate it but the answer is 61.

--- End quote ---
mooman, explain your answer, please.

[MAF]Agus:
X = [least common multiple (mínimo común múltiplo en español) of 2, 3, 4, 5 and 6] +1

Prime factorization
2 = 2
3 = 3
4 = 2^2
5 = 5
6 = 3 x 2

LCM (MCM) = 5 x 3 x 2^2 = 60

X = 60 + 1
X = 61

AdrenalineXV:

--- Quote from: [MAF]Agus on April 06, 2015, 03:00:02 am ---X = [least common multiple (mínimo común múltiplo en español) of 2, 3, 4, 5 and 6] +1

Prime factorization
2 = 2
3 = 3
4 = 2^2
5 = 5
6 = 3 x 2

LCM (MCM) = 5 x 3 x 2^2 = 60

X = 60 + 1
X = 61

--- End quote ---

It can also be done by 60/2, 60/3, 60/4, 60/5, 60/6 plus 1 I think
Although I do not understand what you mean with the LCM explanation. Regards

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