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The mean marks (out of 100) of boys and ...

The mean marks (out of 100) of boys and girls in an examinatin are 70 and 73, respectively. If the sum mean marks of all the students in that examination is 71, find the ratio of the number of boys to the number of girls.

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The correct Answer is:
`2:1`

Let the required ratio be x:1 then,
` 70x +73 xx 1 = 71 xx (x +1)`
` Rightarrow 70x + 73 = 71x +71 Rightarrow x =2`
Hence, the ratio of boys and grils is 2:1
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RS AGGARWAL-MEAN , MEDIAN AND MODE OF UNGROUPED DATA -Exercise 18A
  1. The mean of 20 numbers is 18. if 3 is added to each of the first ten n...

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  2. The mean of six numbers is 23. If one of the numbers is excluded , th...

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  3. The average height of 30 boys was calculated to be 150 cm. it was dete...

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  4. The mean weight of a class of 35 student is 45 kg. if the weight of th...

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  5. In a class there are 50 students. Their average weight is 45 kg. Wh...

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  6. The average weight of a class of 39 students is 40 kg. when a new stud...

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  7. The average weight of 15 oarsmen in a boat is increased by 1.6 kg when...

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  8. The mean of 8 numbers is 35. if a number is excluded then the mean is ...

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  9. The mean of 150 items was found to be 60. Later on, it was discoverved...

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  10. The average of 11 results is 60. If the average of first six result...

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  11. The mean 11 numbers is 42. if the mean of the frist 6 numbers is 37 an...

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  12. The mean weight of 25 students of a class is 52 kg. if the mean weight...

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  13. The mean score of 25 observations is 80 and the mean score of another ...

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  14. Arun scored 36 marks in English , 44 marks in Hindi, 75 marks in mathe...

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  15. A ship sails out an island at the rate of 15km/hr and sails back to th...

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  16. There are 50 students in a class, of which 40 are boys. The average we...

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  17. The aggregate monthly expenditure of family was ₹18720 during the firs...

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  18. The mean monthly salary paid to 75 workers in a factory is Rs 5680....

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  19. The mean marks (out of 100) of boys and girls in an examinatin are 70 ...

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  20. The average monthly salarly monthly salary of 20 workers in an office ...

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