What four digit number is divisible by 3 and 4 but not 9?

Answer 1

There is quite a few, actually. 500 to be exact:

[1020, 1032, 1056, 1068, 1092, 1104, 1128, 1140, 1164, 1176, 1200, 1212, 1236, 1248, 1272, 1284, 1308, 1320, 1344, 1356, 1380, 1392, 1416, 1428, 1452, 1464, 1488, 1500, 1524, 1536, 1560, 1572, 1596, 1608, 1632, 1644, 1668, 1680, 1704, 1716, 1740, 1752, 1776, 1788, 1812, 1824, 1848, 1860, 1884, 1896, 1920, 1932, 1956, 1968, 1992, 2004, 2028, 2040, 2064, 2076, 2100, 2112, 2136, 2148, 2172, 2184, 2208, 2220, 2244, 2256, 2280, 2292, 2316, 2328, 2352, 2364, 2388, 2400, 2424, 2436, 2460, 2472, 2496, 2508, 2532, 2544, 2568, 2580, 2604, 2616, 2640, 2652, 2676, 2688, 2712, 2724, 2748, 2760, 2784, 2796, 2820, 2832, 2856, 2868, 2892, 2904, 2928, 2940, 2964, 2976, 3000, 3012, 3036, 3048, 3072, 3084, 3108, 3120, 3144, 3156, 3180, 3192, 3216, 3228, 3252, 3264, 3288, 3300, 3324, 3336, 3360, 3372, 3396, 3408, 3432, 3444, 3468, 3480, 3504, 3516, 3540, 3552, 3576, 3588, 3612, 3624, 3648, 3660, 3684, 3696, 3720, 3732, 3756, 3768, 3792, 3804, 3828, 3840, 3864, 3876, 3900, 3912, 3936, 3948, 3972, 3984, 4008, 4020, 4044, 4056, 4080, 4092, 4116, 4128, 4152, 4164, 4188, 4200, 4224, 4236, 4260, 4272, 4296, 4308, 4332, 4344, 4368, 4380, 4404, 4416, 4440, 4452, 4476, 4488, 4512, 4524, 4548, 4560, 4584, 4596, 4620, 4632, 4656, 4668, 4692, 4704, 4728, 4740, 4764, 4776, 4800, 4812, 4836, 4848, 4872, 4884, 4908, 4920, 4944, 4956, 4980, 4992, 5016, 5028, 5052, 5064, 5088, 5100, 5124, 5136, 5160, 5172, 5196, 5208, 5232, 5244, 5268, 5280, 5304, 5316, 5340, 5352, 5376, 5388, 5412, 5424, 5448, 5460, 5484, 5496, 5520, 5532, 5556, 5568, 5592, 5604, 5628, 5640, 5664, 5676, 5700, 5712, 5736, 5748, 5772, 5784, 5808, 5820, 5844, 5856, 5880, 5892, 5916, 5928, 5952, 5964, 5988, 6000, 6024, 6036, 6060, 6072, 6096, 6108, 6132, 6144, 6168, 6180, 6204, 6216, 6240, 6252, 6276, 6288, 6312, 6324, 6348, 6360, 6384, 6396, 6420, 6432, 6456, 6468, 6492, 6504, 6528, 6540, 6564, 6576, 6600, 6612, 6636, 6648, 6672, 6684, 6708, 6720, 6744, 6756, 6780, 6792, 6816, 6828, 6852, 6864, 6888, 6900, 6924, 6936, 6960, 6972, 6996, 7008, 7032, 7044, 7068, 7080, 7104, 7116, 7140, 7152, 7176, 7188, 7212, 7224, 7248, 7260, 7284, 7296, 7320, 7332, 7356, 7368, 7392, 7404, 7428, 7440, 7464, 7476, 7500, 7512, 7536, 7548, 7572, 7584, 7608, 7620, 7644, 7656, 7680, 7692, 7716, 7728, 7752, 7764, 7788, 7800, 7824, 7836, 7860, 7872, 7896, 7908, 7932, 7944, 7968, 7980, 8004, 8016, 8040, 8052, 8076, 8088, 8112, 8124, 8148, 8160, 8184, 8196, 8220, 8232, 8256, 8268, 8292, 8304, 8328, 8340, 8364, 8376, 8400, 8412, 8436, 8448, 8472, 8484, 8508, 8520, 8544, 8556, 8580, 8592, 8616, 8628, 8652, 8664, 8688, 8700, 8724, 8736, 8760, 8772, 8796, 8808, 8832, 8844, 8868, 8880, 8904, 8916, 8940, 8952, 8976, 8988, 9012, 9024, 9048, 9060, 9084, 9096, 9120, 9132, 9156, 9168, 9192, 9204, 9228, 9240, 9264, 9276, 9300, 9312, 9336, 9348, 9372, 9384, 9408, 9420, 9444, 9456, 9480, 9492, 9516, 9528, 9552, 9564, 9588, 9600, 9624, 9636, 9660, 9672, 9696, 9708, 9732, 9744, 9768, 9780, 9804, 9816, 9840, 9852, 9876, 9888, 9912, 9924, 9948, 9960, 9984, 9996]

Have fun.