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Question
There are less than 20 dozen bananas in a basket. If you count them 3, 7, or 11 at a time, there are none left over. How many bananas are in the basket?
There are less than 20 dozen bananas in a basket. If you count them 3, 7, or 11 at a time, there are none left over. How many bananas are in the basket?
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Solution
The correct option is A 231
The LCM of 3, 7 and 11 is the number of bananas in the basket.
As 3, 7 and 11 are prime numbers. The LCM of any prime numbers is the same as their product
So the LCM of 3, 7 and 11 = 3 × 7 × 11 = 231
So there are 231 bananas in the basket, which is less than 20 dozen or 240.
The LCM of 3, 7 and 11 is the number of bananas in the basket.
As 3, 7 and 11 are prime numbers. The LCM of any prime numbers is the same as their product
So the LCM of 3, 7 and 11 = 3 × 7 × 11 = 231
So there are 231 bananas in the basket, which is less than 20 dozen or 240.
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