### Brain Teasers

# Brave Sailors

We are brave sailors always riding the sea

We are less than one hundred but as tough as can be

We sleep in three bunkers on top of each other

Our numbers double from one bunker to another

We dance in joy all through the night

In groups of fives under the moonlight

Last night twelve of us were swallowed by waves

Leaving alive more than two third of the braves

Still we continue the journey refusing to fail

So tell me how many of us are left to sail?

We are less than one hundred but as tough as can be

We sleep in three bunkers on top of each other

Our numbers double from one bunker to another

We dance in joy all through the night

In groups of fives under the moonlight

Last night twelve of us were swallowed by waves

Leaving alive more than two third of the braves

Still we continue the journey refusing to fail

So tell me how many of us are left to sail?

### Answer

58 sailors are left.1. From line 2: Total number of sailors is <100.

2. From lines 3 & 4: Let number of sailors sleeping in bunker 1 be X, then number of sailors sleeping in bunker 2 is 2X and in bunker 3 is 4X,

i.e. Total number of sailors = X+2X+4X = 7X and thus it is a multiple of 7.

3. From line 6: dancing in groups of fives means the total number is a product of 5.

4. From lines 7 & 8: 12 of the sailors drowned in the sea, leaving more than two third of the sailors alive, so the total number is > 36 (3 * 12).

Summing up all the above given information, the total number of sailors is <100 and >36, it divides by 7 and 5, which adds up to the total number of 70 sailors.

Since 12 of the 70 sailors died in the sea, there are 58 sailors left to continue the journey.

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