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How many children are there in the class ?

I. Boys and girls are in the ratio of 8 : 5 respectively and number of girls is less than that of boys by 24.

II. Number of girls in the class is 40

a

if the data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question

b

if the data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question

c

if the data either in statement I alone or in statement II alone is sufficient to answer the question.

d

if the data in both the statements I and II together are not sufficient to answer the question.

e

if the data in both the statements I and II together are necessary to answer the question.

Answer : Option A
Explanation :

From statement I,

Let the number of boys and girls be 8x and 5x respectively.

Then,

8x – 5x = 24

3x = 24

x = 8

Hence, the number of children can be determined. That is, 13x = 13 × 8 = 104

Statement II does not give any specific relation between the number of boys and girls.

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