How many of the following numbers are divisible by 132? 264, 396, 462, 792, 968, 2178, 5184, 6336, 1058, 1188, 1056

Question

Can anyone find the odd man out - 396, 462, 572, 427, 671, 264

Please explain your answer with the working.

Answer 1

4

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132=3*4*11
We need to check if the number is divisible by 3,4 and 11 as per respective rule:
264--> 2+6+4=12, 64, 2+4−6=0 --> divisible
396--> 3+9+6=18, 96, 3+6=9=0 --> divisible
462--> 4+6+2=12, 62 not divisible by 4--> not divisible
792--> 7+9+2=18, 92, 7+2−9=0 --> divisible
968--> 9+6+8=25 not divisible by 3 --> not divisible
2178--> 2+1+7+8=18, 78 not divisible by 4--> not divisible
5184--> 5+1+8+4=18, 84, 5+8−1−4=8 not divisible by 11 --> not divisible
6336--> 6+3+3+6=18, 36, 6+3−3−6=0 --> divisible
4 of them are divisible by 132