top button
Flag Notify
    Connect to us
      Site Registration

Site Registration

Seven Robbers loot a bank and hide the coins at a deserted factory. They decide to divide the money equally next morning

+2 votes
1,751 views

Seven Robbers loot the bank and hide the coins at a deserted factory. They decide to divide the money equally next morning. Two greedy robbers decided to cheat the others and reach the factory at night. They equally divided the coins between them, one coin left. So they called another robber and then they decided to divide equally among three. Sadly again one coin left. Same thing happened for 4th 5th and the 6th robber. However when 7th robber reached in the morning, they are able to divide the coins equally.

How many coins were there in total?

posted Jul 27, 2016 by Pushpak Chauhan

Share this puzzle
Facebook Share Button Twitter Share Button LinkedIn Share Button

2 Answers

+2 votes

Let the number of coins be - N

Then, N - 1 is a multiple of 1, 2, 3, 4, 5, 6 but not 7. The LCM of 1, 2, 3, 4, 5, 6 is 60
Again N is a multiple of 7.
So, N should be any number which is a multiple of 7 and N - 1 is a multiple of 60. So upon finding the multiples of 60 and adding 1 to them we find 60 * 5 = 300 + 1 = 301 is such a number.

Therefore N = 301.

answer Jul 27, 2016 by Indranil Datta
0 votes

The solution has to be a multiple of 7 because the seven robbers have to divide the coins equally.
I have tried multiples of 7 until I reached 301 which complies allow the robbers to divide the coins equally.
The answer is 301 coins

answer Jul 29, 2016 by anonymous



Similar Puzzles
+1 vote

On the market, Mrs. Jain and Mrs. Sharma sell apples. Mrs. Jain sells her apples per two for Rs 50. The apples of Mrs. Sharma are a bit smaller; she sells hers per three for Rs 50. At a certain moment, when both women have the same amount of apples left, Mrs. Sharma is being called away. She asks her neighbor to take care of her goods. To make everything not too complicated, Mrs. Jain puts all apples to one big pile, and starts selling them for Rs 100 per five apples. When Mrs. Sharma returns at the end of the day, all apples have been sold. However, when they start dividing the money, there appears to be a shortage of Rs 350.

Supposing they divide the amount of money equally, how much does Mrs. Jain lose with this deal?

+1 vote

A cheap man and his wife decide to go on a trip for their 10th anniversary. They go to Brazil and while touring the rain forest his wife falls off of a bridge to her death.

Shortly after her death one of the flight attendants on their flight sees a report on her death on television. She immediately calls the police and tells them the man murdered his wife.

How did she know?

0 votes

One morning, Karan and Megha went to the movie theater. They were going to see a new scary movie that just came out today. When they got there, Karan asked for two tickets to the scary movie.
"I'm sorry, we aren't showing it yet," said the person behind the counter.
"Yes you are! It's gonna show in fifteen minutes!" Megha exclaimed. She pulled out her phone and went to the theater's website. "See? It says it's showing at 10:00."
Karan realized they made a mistake. What was it?

+1 vote

A hunter met two shepherds, one of whom had three loaves and the other, five loaves. All the loaves were the same size. The three men agreed to share the eight loaves equally between them. After they had eaten, the hunter gave the shepherds eight bronze coins as payment for his meal.
How should the two shepherds divide this money based on the bread they gave to the hunter?

0 votes

A man was murdered one morning. There were three suspects to the crime. A chef, the wife, and the man's sister. The wife claims to have been sleeping, while the chef says he was cooking dinner, and his sister says she was eating breakfast.
Who is lying?

...