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Aptitude - Average - Discussion

@ : Home > Aptitude > Average > Data Sufficiency 1 - Discussion

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"Life is like riding a bicycle. To keep your balance you must keep moving."
- Albert Einstein
Directions to Solve

Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both statements and

  • Give answer (A) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
  • Give answer (B) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
  • Give answer (C) if the data either in Statement I or in Statement II alone are sufficient to answer the question.
  • Give answer (D) if the data even in both Statements I and II together are not sufficient to answer the question.
  • Give answer(E) if the data in both Statements I and II together are necessary to answer the question.

3. 

What is the average age of children in the class?

I. 

The age of the teacher is as many years as the number of children.

 II. 

Average age is increased by 1 year if the teacher's age is also included.

[A]. I alone sufficient while II alone not sufficient to answer
[B]. II alone sufficient while I alone not sufficient to answer
[C]. Either I or II alone sufficient to answer
[D]. Both I and II are not sufficient to answer
[E]. Both I and II are necessary to answer

Answer: Option E

Explanation:

Let there be x children.

I gives, age of teacher = x years.

II gives, average age of (x + 1) persons = (x + 1) years.

Teacher's age = (x + 1) (x + 1) - x2 = (x2 + 1 + 2x) - x2 = (1 + 2x)

Thus, teacher's age cannot be obtained.

Correct answer is (D)
Asan said: (Mon, Aug 8, 2011 06:47:05 PM)    
 
How to use multiply rule Finding used in teacher age ?
Jyoti said: (Wed, Dec 14, 2011 08:43:06 PM)    
 
Why average age of x+1 is x+1 years?
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