# 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 question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.

How many marks did Tarun secure in English? | |

I. | The average mark obtained by Tarun in four subjects including English is 60. |

II. | The total marks obtained by him in English and Mathematics together are 170. |

III. | The total marks obtained by him in Mathematics and Science together are 180. |

I gives, total marks in 4 subjects = (60 x 4) = 240.

II gives, E + M = 170

III gives, M + S = 180.

Thus, none of (A), (B), (C), (D) is true.

Correct answer is (E).

In a cricket team, the average age of eleven players in 28 years. What is the age of the captain? | |

I. | The captain is eleven years older than the youngest player. |

II. | The average age of 10 players, other than the captain is 27.3 years. |

III. | Leaving aside the captain and the youngest player, the average ages of three groups of three players each are 25 years, 28 years and 30 years respectively. |

Total age of 11 players = (28 x 11) years = 308 years.

I. C = Y + 11 C - Y = 11 .... (i)

II. Total age of 10 players (excluding captain) = (27.3 x 10) years = 273 years.

Age of captain = (308 - 273) years = 35 years.

Thus, C = 35. .... (ii)

From (i) and (ii), we get Y = 24

III. Total age of 9 players = [ (25 x 3) + (28 x 3) + (30 x 3)] years = 249 years.

C + Y = (308 - 249) = 59 .... (iii)

From (i) and (iii), we get C = 35.

Thus, II alone gives the answer.

Also, I and III together give the answer.

Correct answer is (C).