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.