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Question

11. There is a group of soldiers. When they are lined in rows of 6,8 or 15, there are 5 soldiers left.

If the group can be exactly divided into small team of 13 soldiers each, find the minimum number of soldiers in the group.

pls help. thanks

Answer

Multiples of 13 ending with 5 : 65, 195, 325, 455, 585, 715, 845, …
LCM of 6, 8 and 15 = 120
120 + 5 = 125
240 + 5 = 245
360 + 5 + 365
480 + 5 + 485
600 + 5 = 605
720 + 5 = 725
840 + 5 = 845

Ans : 845 soldiers.

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thank you tay. 

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my pleasure, ATM

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