Difference between revisions of "2021 JMPSC Accuracy Problems/Problem 11"
(Created page with "==Problem== If <math>a : b : c : d=1 : 2 : 3 : 4</math> and <math>a</math>, <math>b</math>, <math>c</math>, and <math>d</math> are divisors of <math>252</math>, what is the ma...") |
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==Solution== | ==Solution== | ||
| − | + | <math>a</math> must be a number such that <math>2a \mid 252</math>, <math>3a \mid 252</math>, <math>4a \mid 252</math>. Thus, we must have <math>12a \mid 252</math>. This implies the maximum value of <math>a</math> is <math>252/12 = \boxed{21}</math> | |
Revision as of 21:38, 10 July 2021
Problem
If 
and 
, 
, 
, and 
are divisors of 
, what is the maximum value of ?
Solution
must be a number such that 
, 
, 
. Thus, we must have 
. This implies the maximum value of is 
