Mathematics Past Questions and Answers

A girl walks \(30 m\) from a point \(P\) on a bearing of \(040^{\circ}\) to a point Q. She then walks \(30 m\) on a bearing of \(140^{\circ}\) to a point \(R\). The bearing of \(R\) from \(P\) is

How many different three digit numbers can be formed using the integers 1 to 6 if no integer occurs twice in a number?

In how many different ways can the letters of the word GEOLOGY be arranged in order?

A cyclist rode for 30 minutes at \(x km / hr\) and due to a breakdown. he had to push the bike for \(2 hrs\) at \((x-5) km / hr\). if the total distance covered is less than \(60 km\), what is the range of values for \(x\) ?

A business man invested a total of \(\# 200,000\) in two companies which paid dividends of \(5 \%\) and \(7 \%\) respectively. If he received a total of \(\# 11,600\) as dividend. how much did he invest at \(5 \%\) ?