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A teacher has 48 pencils and 60 erasers. She wants to distribute them equally am

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Question: A teacher has 48 pencils and 60 erasers. She wants to distribute them equally among students. What is the maximum number of students she can distribute to? (2023)

Options:

  1. 12
  2. 6
  3. 8
  4. 10

Correct Answer: 12

Exam Year: 2023

Solution: 

The HCF of 48 and 60 is 12, which is the maximum number of students she can distribute to equally.

A teacher has 48 pencils and 60 erasers. She wants to distribute them equally am

Practice Questions

Q1
A teacher has 48 pencils and 60 erasers. She wants to distribute them equally among students. What is the maximum number of students she can distribute to? (2023)
  1. 12
  2. 6
  3. 8
  4. 10

Questions & Step-by-Step Solutions

A teacher has 48 pencils and 60 erasers. She wants to distribute them equally among students. What is the maximum number of students she can distribute to? (2023)
  • Step 1: Identify the two numbers you have: 48 pencils and 60 erasers.
  • Step 2: Find the factors of 48. The factors are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.
  • Step 3: Find the factors of 60. The factors are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60.
  • Step 4: List the common factors of both 48 and 60. The common factors are: 1, 2, 3, 4, 6, 12.
  • Step 5: Identify the highest common factor (HCF) from the common factors. The highest common factor is 12.
  • Step 6: Conclude that the maximum number of students she can distribute the pencils and erasers to equally is 12.
  • Highest Common Factor (HCF) – The HCF is the largest number that divides two or more numbers without leaving a remainder, which in this case helps determine how many students can receive an equal number of pencils and erasers.
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