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 A school has $378$ girls students and $675$ boy students. The school is divided into strictly boys or strictly girls sections and all sections in the school have the same number of students. Find the number of sections in the school.

  1. $39$
  2. $14$
  3. $25$
  4. $27$

1 Answer

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4 4 votes

Number of girl students=378 = $2 \times 3^{3} \times7$ = $14 \times 27$

Number of boy students=675 = $3^{2} \times5^{2}$ = $25 \times 27$

 

Here each can have 27 students.

Number of sections of girls = $\frac{378}{27}=14$

Number of sections of boys = $\frac{675}{27}=25$

 

Total number of sections = 14 +25 =39

 

Hence,Option(1)39.

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