How many multiple?

How many multiples of 7 are between 345 and 563 inclusive?

27 30 31 32

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2 solutions

Abdeslem Smahi
Aug 18, 2015

Let n n be the number of multiples of 7 7 between 345 345 and 563 563 :

n = 563 7 345 7 = 81 50 = 31 n=\lceil \frac{563}{7} \rceil - \lceil \frac{345}{7} \rceil = 81-50 = 31

Kano Boom
Jan 1, 2018

(563 - 345)/7 = 218/7= 31mod1

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