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The four-digit numeral 3AA1 is divisible by 19. What digit does A represent?

 Jan 4, 2023
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If by "AA" you mean the digit is repeated such as "44",  "66",  "99"......etc., then there is no such number that is divisible by 19. Here are ALL the multiples of 19 between 3,000 and 4,000:

 

(3002, 3021, 3040, 3059, 3078, 3097, 3116, 3135, 3154, 3173, 3192, 3211, 3230, 3249, 3268, 3287, 3306, 3325, 3344, 3363, 3382, 3401, 3420, 3439, 3458, 3477, 3496, 3515, 3534, 3553, 3572, 3591, 3610, 3629, 3648, 3667, 3686, 3705, 3724, 3743, 3762, 3781, 3800, 3819, 3838, 3857, 3876, 3895, 3914, 3933, 3952, 3971, 3990) Total = 53 such multiples of 19.

 

Note: if your number is: 3AA0, then the last multiple of 3,990 will satisfy the condition. Check your numbers carefully.

 Jan 4, 2023

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