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Question

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+2x2=3x+2 ...(ii)
From (i) and (ii) also we cannot find the average age of the children.

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