# Aptitude - Average

- Average - Formulas
- Average - General Questions
- Average - Data Sufficiency 1
- Average - Data Sufficiency 2

*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.

The average age of P, Q, R and S is 30 years. How old is R? | |

I. | The sum of ages of P and R is 60 years. |

II. | S is 10 years younger than R. |

P + Q + R + S = (30 x 4) P + Q + R + S = 120 .... (i)

I. P + R = 60 .... (ii)

II. S = (R - 10) .... (iii)

From (i), (ii) and (iii), we cannot find R.

Correct answer is (D)

How many candidates were interviewed everyday by the panel A out of the three panels A, B and C? | |

I. | The three panels on average interview 15 candidates every day. |

II. | Out of a total of 45 candidates interviewed everyday by the three panels, the number of candidates interviewed by panel A is more by 2 than the candidates interviewed by panel c and is more by 1 than the candidates interviewed by panel B. |

I. Total candidates interviewed by 3 panels = (15 x 3) = 45.

II. Let *x* candidates be interviewed by C.

Number of candidates interviewed by A = (*x* + 2).

Number of candidates interviewed by B = (*x* + 1).

*x* + (*x* + 2) + (*x* + 1) = 45

3*x* = 42

*x* = 14

Hence, the correct answer is (B).

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. |

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) - *x*^{2} = (*x*^{2} + 1 + 2*x*) - *x*^{2} = (1 + 2*x*)

Thus, teacher's age cannot be obtained.

Correct answer is (D)