Sum of 30 integers is 150. Out of them 20 integers don't exceed 5, then what is the maximum possible average of those 20 integers ?
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Hello Nitesh, Hope you are doing good and preparing hard for the exams you are preparing for. Coming Back to your questions the answer to this question is simple but logic needs to be applied here.
Here the question says sum of 30 integers is 150. Here average is means 150/30 i.e. 5.
Out of these 20 integers don't exceed 5. Let's take case where we imagine all numbers of these that is 20 numbers to be 5 . Since we have to maximise the average of these 20 numbers that's why we are taking 5. So total of these 20 numbers would be 20*5 i.e. 100 giving us the average to be 5.
Now the rest 10 numbers can be also taken as 5 giving sum of 50 fulfilling our required sum. So it shows that the average is same as we got from the 30 numbers in total.
So we got the answer that the maximum of those 20 numbers average can be 5.
Hope you understood the solution and wish you all the best for your preparation.
1 like
ReplyConsider we take the maximum possible average of the 20 integers to be 5. This means that their sum = 5*20 = 100.
Total sum is 150 so remaining sum = 150 - 100 = 50. So the average for the remaining numbers will be 50/10 = 5, which means now all the numbers doesn't exceed 5(else the question should have been no number exceeds 5 instead of only 20,which means that the other 10 should exceed 5 for sure and not be equal or less) and that makes the question wrong, so should not be the answer.
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