Home
Class 11
MATHS
The marks scored by Rohit in two tests w...

The marks scored by Rohit in two tests were 65 and 70. Find the minimum marks the should score in the third test to have an average of at least 65 marks.

Text Solution

Verified by Experts

Let Rohit scored x marks in third paper
Then mean of three papers` =frac{65+70+x}{3}=frac{135+x}{3}`
But the average of three papers is at least `65`
Therefore, `frac{135+x}{3} geq 65`
Multiply both sides by `3 `, we get
...
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    RD SHARMA|Exercise All Questions|300 Videos
  • MATHEMATICAL INDUCTION

    RD SHARMA|Exercise Solved Examples And Exercises|97 Videos

Similar Questions

Explore conceptually related problems

Find the minimun marks he sholud get in the third test to have an average of at least 60 marks .

Abhinav obtained 65 and 80 marks in first two unit test .Find the minimum marks he should get in the third test of have an average of at least 70 marks.

Ravi obtained 70 and 75 marks in first two unit test.Find the number if minimum marks he should get in the third test to have an average of at least 60 marks.

A student obtained 60, 62, 64 and 66 marks in 4 subjects in an examination. Find the minimum marks he should get in 5th subject to have an average of at least 65 marks.

A student scores 65, 62 70 marks is 3 subjects. Find the minimum marks scored by him in 4th subject to get an average of 64 minimun.

To receive grade A in a cource,one must obtain an average of 90 marks or more in five papers each of 100 marks.If Shikha scored 87 ,95,92 and 94 marks in first four papers find the minimum marks that she must score in the last paper to get grade A in the course.

The marks scored ina test by a class of 25 boys are as folowing

In an examination, six subjects - S1, S2, S3, S4, S5, and S6 have equal maximum marks. The number of marks scored by one particular candidate in subject S1 is 20% less than his marks in subject S6. The ratio of marks scored by the same candidate in subject S2 to that in S3 is 4: 5 and that in S4 to S5 is 3: 4. The number of marks scored by this candidate in subject S5 is 25% more than that of S6. He scored 65 marks in the subject S3. He scored 436/9 % in the examination and the average of marks scored by him in all the subjects is 218/3 What percentage of marks the candidate had scored in the subject S5 over the maximum marks of that subject?

RD SHARMA-LINEAR INEQUATIONS-Solved Examples And Exercises
  1. Find all pairs of consecutive odd natural number, both of which are ...

    Text Solution

    |

  2. Find all pairs of consecutive even positive integers, both of which ar...

    Text Solution

    |

  3. The marks scored by Rohit in two tests were 65 and 70. Find the minimu...

    Text Solution

    |

  4. A solution is to be kept between 30^0C\ a n d\ 35^0C . What is the ran...

    Text Solution

    |

  5. To receive grade A in a cource, one must obtain an average of 90 marks...

    Text Solution

    |

  6. The longest side of a triangle is three times the shortest side and th...

    Text Solution

    |

  7. How may litres of water will have to be added to 1125 litres of the 45...

    Text Solution

    |

  8. A solution of 8% boric acid is to be diluted by adding a 2% boric acid...

    Text Solution

    |

  9. The water acidity in a pool is considered normal when the average pH r...

    Text Solution

    |

  10. Solve the following inequation graphically: \ 2x+3ylt=6

    Text Solution

    |

  11. Solve the following inequation graphically: \ \ 2x-ygeq1

    Text Solution

    |

  12. Solve the following inequation graphically: \ xgeq2

    Text Solution

    |

  13. Solve the following inequation graphically: \ \ ylt=-3

    Text Solution

    |

  14. Represent to solution set of each of the following inequation graph...

    Text Solution

    |

  15. Represent to solution set of each of the following inequation graph...

    Text Solution

    |

  16. Represent to solution set of each of the following inequation graph...

    Text Solution

    |

  17. Represent to solution set of each of the following inequation graphi...

    Text Solution

    |

  18. Represent to solution set of each of the following inequation graph...

    Text Solution

    |

  19. Represent to solution set of each of the following inequation graph...

    Text Solution

    |

  20. Represent to solution set of each of the following inequation graph...

    Text Solution

    |