# Divisibility

Determine the smallest integer which divided 11 gives remainder 4 when divided 15 gives remainder 10 and when divided by 19 gives remainder 16.

Result

x =  1555

#### Solution:

x1: 4, 15, 26, 37, 48, 59, 70, 81, 92, 103, 114, 125, 136, 147, 158, 169, 180, 191, 202, 213, 224, 235, 246, 257, 268, 279, 290, 301, 312, 323, 334, 345, 356, 367, 378, 389, 400, 411, 422, 433, 444, 455, 466, 477, 488, 499, 510, 521, 532, 543, 554, 565, 576, 587, 598, 609, 620, 631, 642, 653, 664, 675, 686, 697, 708, 719, 730, 741, 752, 763, 774, 785, 796, 807, 818, 829, 840, 851, 862, 873, 884, 895, 906, 917, 928, 939, 950, 961, 972, 983, 994, 1005, 1016, 1027, 1038, 1049, 1060, 1071, 1082, 1093, 1104, 1115, 1126, 1137, 1148, 1159, 1170, 1181, 1192, 1203, 1214, 1225, 1236, 1247, 1258, 1269, 1280, 1291, 1302, 1313, 1324, 1335, 1346, 1357, 1368, 1379, 1390, 1401, 1412, 1423, 1434, 1445, 1456, 1467, 1478, 1489, 1500, 1511, 1522, 1533, 1544, 1555

x2: 10, 25, 40, 55, 70, 85, 100, 115, 130, 145, 160, 175, 190, 205, 220, 235, 250, 265, 280, 295, 310, 325, 340, 355, 370, 385, 400, 415, 430, 445, 460, 475, 490, 505, 520, 535, 550, 565, 580, 595, 610, 625, 640, 655, 670, 685, 700, 715, 730, 745, 760, 775, 790, 805, 820, 835, 850, 865, 880, 895, 910, 925, 940, 955, 970, 985, 1000, 1015, 1030, 1045, 1060, 1075, 1090, 1105, 1120, 1135, 1150, 1165, 1180, 1195, 1210, 1225, 1240, 1255, 1270, 1285, 1300, 1315, 1330, 1345, 1360, 1375, 1390, 1405, 1420, 1435, 1450, 1465, 1480, 1495, 1510, 1525, 1540, 1555

x3: 16, 35, 54, 73, 92, 111, 130, 149, 168, 187, 206, 225, 244, 263, 282, 301, 320, 339, 358, 377, 396, 415, 434, 453, 472, 491, 510, 529, 548, 567, 586, 605, 624, 643, 662, 681, 700, 719, 738, 757, 776, 795, 814, 833, 852, 871, 890, 909, 928, 947, 966, 985, 1004, 1023, 1042, 1061, 1080, 1099, 1118, 1137, 1156, 1175, 1194, 1213, 1232, 1251, 1270, 1289, 1308, 1327, 1346, 1365, 1384, 1403, 1422, 1441, 1460, 1479, 1498, 1517, 1536, 1555

Leave us a comment of example and its solution (i.e. if it is still somewhat unclear...):

Be the first to comment!

## Next similar examples:

The voltage station is every day changing the master password, which consists of three letters. Code generation process does not change and is based on the following procedure: The following letters (A) to (I) correspond to different numbers from 1 to 9. I
Number 839 divide into the two addends that the first was 17 greater than 60% of the second. Determine these addends.
3. Octahedron - sum
On each wall of a regular octahedron is written one of the numbers 1, 2, 3, 4, 5, 6, 7 and 8, wherein on different sides are different numbers. For each wall John make the sum of the numbers written of three adjacent walls. Thus got eight sums, which also.
4. AVG of INT
What is the average of the integers from 9 throuht 52 inclusive?
5. Store
One meter of the textile were discounted by 2 USD. Now 9 m of textile cost as before 8 m. Calculate the old and new price of 1 m of the textile.
6. Coffee
In stock are three kinds of branded coffee prices: I. kind......6.9 USD/kg II. kind......8.1 USD/kg III. kind.....10 USD/kg Mixing these three species in the ratio 8:6:3 create a mixture. What will be the price of 1100 grams of this mixture?
7. Root
The root of the equation ? is: ?
8. Time
Write time in minutes rounded to one decimal place: 5 h 28 m 26 s.
9. Water
Mix 20 l of water with temperature of 53 °C, 27 l warm of 86 °C and 11 l water of 49 °C. What is the temperature of the mixed water immediately after mixing?
10. Reciprocal
What is the reciprocal of the sum of the reciprocals of 4 and 9?
11. Five girls
Five girls traveling by bus. Each holds in each hand two baskets. In each basket are four cats. Each cat has three kittens. Two girls exits bus. How many legs are in the bus?
12. Word problem
395 students were on holiday in Hungary. 110 bought pizza, chips 21 pupils, 26 pupils bought soda, butter 18 pupils, 12 pupils fruits, vegetables 29 students. How much pay for all the food, if every meal cost 5.5 euros?
13. Short cut
Imagine that you are going to the friend. That path has a length 270 meters. Then turn left and go another 1810 meters and you are at a friend's. The question is how much the journey will be shorter if you go direct across the field?