MCA Exam

Can you find a five digit number that, if you place a 9 at the beginning to make a new number, is fours times larger than if you place the 9 at the end instead?

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MCA Other Question

A rich merchant had collected many gold coins. He did not want anybody to know about them. One day, his wife asked, "How many gold coins do we have?" After pausing a moment, he replied, "Well! If I divide the coins into two unequal numbers, then 37 times the difference between the two numbers equals the difference between the squares of the two numbers." The wife looked puzzled. Can you help the merchant's wife by finding out how many gold coins.
In some test, three problems, A, B, and C were posed. Among the participants there were 25 who solved at least one problem. Of all the participants
who did not solve problem A, the number who solved problem B was twice the number who solved C. The number who solved only problem A was one
more than the number who solved A and at least one other problem. Of all
participants who solved just one problem, half did not solve problem A. How many solved just problem A?