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​​​​​​The ratio of boys to girls in a class is $7$ to $3$.

Among the options below, an acceptable value for the total number of students in the class is:

  1. $21$
  2. $37$
  3. $50$
  4. $73$
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We have 7:3 ration, If we check using the options,

(a) 21 – we can’t divide this number in 7:3 ration.

(b) 37 – even 37 also we can’t divide in 7:3 ratio.

(c) 50 – If we divide 35+15 = 50 we get ratio of 7:3.

(d) 73 – we can’t divide in 7:3 ratio.

Answer → (c)
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Option C.

The number of boys is a multiple of $7$ i.e., $7M,$ for some integer $M.$

The number of girls is a multiple of $3$ i.e., $3M.$ 

$\therefore$ The total number of students $= 7M + 3M = 10M,$ i.e., a multiple of $10.$

Only option that fits is C.

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BOYS ARE IN MULTIPLE OF 7 AND GIRLS ARE IN MULTIPLE OF 3 SO TOTAL IT SHOULD BE IN MULTIPLE OF 10.

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