'A', 'B', 'C', 'D' and 'E' are five robbers who rob a large pile of gold biscuits from a bank. Tired from their collective exploits, they retire for the day, deciding to distribute the gold among themselves in the next morning. However, at midnight, 'A' wakes up and knowing he cannot trust his accomplices, decides to take his share of the gold. He divides the gold into five equal piles and takes his share. However, there is one gold biscuit left over which he decides to leave as a souvenir. At 1 o'clock, 'B' wakes up and not realizing that 'A' has already taken his share, he divides the remainder of the pile of gold into five equal piles with one biscuit left over as a souvenir. 'B' then takes away his share. In the next consecutive hours, 'C', 'D' and 'E' each wake up and do exactly the same as 'A' and 'B'. In the morning, all the robbers wake up and try to look innocent. No one makes a remark about the diminished pile of gold and no one is honest to admit that they have already taken their share. Instead, they divide the remaining pile of gold up into five parts for the sixth time and find that there is yet again one gold biscuit left over which they leave as a souvenir. Question: Assuming that in each case there was no need to break a gold biscuit, how many gold biscuits did the robbers originally steal?
Need detailed solution to the question. I know the answer, but I am only able to reach halfway through the solution.
I am having a doubt in this question, since you have reached halfway so thought of asking you.
Each time when the pile is divided, is it divided into 6 pieces or 5 pieces as there is always 1 pile left as souvenir ?
In CL adaptive tests i choose advanced for geometry level and i am now struggling to solve the questions does anyone here know how to change it back to average level ? If you do please help me . thanks a lot
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