What is the average age of children in the class ? A. Age of the teacher is as many yrs as the number of children. B. Average age increased by 2 yrs, if the teacher's age is also included.
A
If the data in statement A alone is sufficient to answer the question
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B
If the data in statement B alone is sufficient to answer the question.
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C
If the data either in statement A alone or in statement B alone is sufficient to answer the question
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D
If the data given in both statements A and B together are not sufficient to answer the question
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E
If the data in both statements A and B together are necessary to answer the question.
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Solution
The correct option is D If the data given in both statements A and B together are not sufficient to answer the question Let the number of children be x ...(i) From statement A we get, teacher's age = x From statement B we get, average age of (x+1) persons =x+2 ∴ Teacher's age =(x+2)(x+1)=x2 =x2+3x+2−x2=3x+2 ...(ii) From (i) and (ii) also we cannot find the average age of the children.