Logical Riddle: How many diamonds did they steal?

Here’s an interesting riddle that requires little bit of thinking and little math skill in order to get the answer. Here’s the riddle.

7 thieves rob a diamond merchant of some diamonds.

They return to their den and go off to sleep.

When everybody was sleeping, two of them woke up and decided to divide the diamonds equally among themselves.

But when they divided the diamonds equally, one diamond is left.

So they woke up the 3rd thief and tried to divide the diamonds equally again but still one diamond was left.

Then they woke up the 4th thief to divide the diamonds equally again, and again one diamond was left.

This happened with the 5th and 6th thief – one diamond was still left.

Finally, they woke up the 7th thief and this time the diamonds were divided equally.

How many diamonds did they steal in total?

So did you manage to find the answer? Please let us know in the comment section below.

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Answer: The thieves stole 301 diamonds in total.

Here’s the Explanation:

The final answer will be a number that will be an exact multiple of 7 but will give a remainder of 1 when divided by 2, 3, 4, 5, and 6.

So you first need to find the least common multiple (LCM) of these numbers (2, 3, 4, 5, and 6), which comes out to be 60.

Now the final answer will be a number that is a multiple of 7 but is 1 greater than a multiple of 60.

60 + 1 = 61, not a multiple of 7
60 x 2 + 1 = 121, not a multiple of 7
60 x 3 + 1 = 181, not a multiple of 7
60 x 4 + 1 = 241, not a multiple of 7
60 x 5 + 1 = 301. Finally, an exact multiple of 7

So the answer is 301 diamonds.

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