## Problem solution

### Problem solution

কোনো একদিন বাংলাদেশ-পাকিস্তান ম্যাচে বাংলাদেশ ৩৫৮ রান করে। তাহলে বাংলাদেশের ব্যাটসম্যানদের মধ্যে সর্বোচ্চ রানকারীর স্কোর অন্তত কত হবে।

Last edited by Shad on Wed Dec 23, 2020 12:38 pm, edited 1 time in total.

### Re: Problem solution

The answer is $33$.

If all of the $11$ batsmen scored 32 runs, then the total score would be $11 \times 32 = 352$. Since the total score is $358$, at least one batsman needs to score more than $32$ runs. So, the run scored by the highest scorer should be at least $33$.

Now, if $5$ batsmen score $32$ runs and $6$ batsmen score $33$ runs, the total score becomes $358$. So, $33$ is indeed the answer.

If all of the $11$ batsmen scored 32 runs, then the total score would be $11 \times 32 = 352$. Since the total score is $358$, at least one batsman needs to score more than $32$ runs. So, the run scored by the highest scorer should be at least $33$.

Now, if $5$ batsmen score $32$ runs and $6$ batsmen score $33$ runs, the total score becomes $358$. So, $33$ is indeed the answer.

"Questions we can't answer are far better than answers we can't question"

### Re: Problem solution

Sorry the total run is 358

### Re: Problem solution

Well that doesn't matter much. The answer is still same.

"Questions we can't answer are far better than answers we can't question"