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A gardener has two types of plants, one type has a height of 3 feet and the othe

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Question: A gardener has two types of plants, one type has a height of 3 feet and the other 5 feet. What is the minimum height at which both types can be tied together? (2023)

Options:

  1. 15
  2. 30
  3. 60
  4. 45

Correct Answer: 60

Exam Year: 2023

Solution: 

The minimum height is the LCM of 3 and 5, which is 15 feet.

A gardener has two types of plants, one type has a height of 3 feet and the othe

Practice Questions

Q1
A gardener has two types of plants, one type has a height of 3 feet and the other 5 feet. What is the minimum height at which both types can be tied together? (2023)
  1. 15
  2. 30
  3. 60
  4. 45

Questions & Step-by-Step Solutions

A gardener has two types of plants, one type has a height of 3 feet and the other 5 feet. What is the minimum height at which both types can be tied together? (2023)
  • Step 1: Understand that we need to find a height where both types of plants can be tied together.
  • Step 2: Identify the heights of the two types of plants: one is 3 feet and the other is 5 feet.
  • Step 3: Recognize that we need to find the Least Common Multiple (LCM) of the two heights (3 and 5).
  • Step 4: List the multiples of 3: 3, 6, 9, 12, 15, ...
  • Step 5: List the multiples of 5: 5, 10, 15, 20, ...
  • Step 6: Find the smallest number that appears in both lists of multiples. The smallest number is 15.
  • Step 7: Conclude that the minimum height at which both types of plants can be tied together is 15 feet.
  • Least Common Multiple (LCM) – The LCM of two numbers is the smallest number that is a multiple of both. In this case, it is used to determine the minimum height at which both types of plants can be tied together.
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