There are 675 boys and 378 girls enrolled at a school. The school is separated into parts for boys alone and girls exclusively. The number of students is the same across all areas of the school. What is the number of sections in the school given this information?

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answer is B.

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Detailed Solution

Concept- The HCF of the number of girls' students and the number of boys' students provides the number of students per section. The total number of sections can then be calculated by adding the number of sections produced by only boys and only girls. So, apply this idea to the provided situation to find a solution.
378 girls are enrolled as students.
675 boys are enrolled as students.
Since, there are exactly the same number of students in each section of the school, the HCF of the number of girls' students and the number of boys' students provides the breakdown of students per section.
Now, think about
Prime factors of

Prime factors of

We are aware that the HCF can be calculated by multiplying all the factors contained in both lists of prime factors.
So, HCF of 378 and