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Find all possible values of digit a, given that the six-digit number 3529a2 is divisible by 

 

(a) 3 

(b) 4

(c) 12

(d) 36

 Jul 6, 2021
 #1
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I don't know if this is by all of these, but I'm assuming the a,b,c,d are not constraints for one question but multiple questions.

(a) $3 + 5 + 2 + 9 + a + 2 = 3n \Rightarrow 21 + a = 3n \Rightarrow a=0; a=3; a=6; a=9$

(b) $a+2 = 4n \Rightarrow a = 2; a = 6$

(c) All values of (b) that are also in (a), or vice versa $\Rightarrow a = 6$

(d) All values of (c) that are also in (a), or vice versa $\Rightarrow a = 6$


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