The word problem is connected with the word "solution." There is usually some specific way to resolve a problem. If there's a problem with your computer, the computer repairman can fix it. If you have a problem in your relationship, you can talk to the other person to find a solution.
The word trouble is more connected with general difficulties. We often use the phrase "having trouble" to mean "having difficulty":
I'm having trouble sleeping. = I'm having difficulty sleeping.
If someone "is in trouble" or "gets in trouble," it means they are in a bad situation:
The boy got in trouble for stealing a toy from the store. or ( he will be disciplined)
If sales don't start improving soon, our company will be in trouble. or ( the company will have difficulty surviving)
The word problem is countable, and the word trouble is usually uncountable. We can say "a problem," but not "a trouble."
There's a problem with my online bank account.
I'm having some trouble logging into my bank account.
The speaker talked about five major problems in society. (notfive troubles)
a)You can use your ATM card at other bank ATMmachinesto withdraw cash too 5 times a month. After 5transactiona fees of 20 rupees pertransactionwill be charged. b) You can check your bank balance on the ATMmachinesof other banks too and there is no fees for this! Not many people know this.c)If while withdrawing cash from ATM thetransactionhas been registered on the machine but you have got no cash from the machine due to mechanical failure, keep thetransactionslip and register your complain with thetransactionslip at your bank as soon as possible. Within 12 working days of lodging a complain, the money will come back into your account. If within 12 working days you do not get the cash back into your account, you are eligible to get interest @ Rs 100 per day.d)There is usually a helpline number mentioned on ATMmachinesin case of any problems. You can call the number and register a complain.