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The boys and girls in a school are in the ratio 9 : 5. If the number of girls is 320, then the total strength of the school is

  • A.840
  • B.896
  • C.920
  • D.576

Answer: B

The total strength is 896.

Boys and girls are in the ratio 9 : 5, so the school has 9 + 5 = 14 parts, of which the girls are 5.

\[ \begin{aligned} 5 \text{ parts} &= 320 \\ 1 \text{ part} &= 64 \\ 14 \text{ parts} &= 14 \times 64 = 896 \end{aligned} \]

There are 576 boys, which is the trap option: it is the number of boys, not the total. 840 and 920 do not divide into 14 equal parts of 64.

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