JOHN BOSS SCHWARZ

A Pop Quiz

(A grandPOP quiz, that is)

For Nathan

Nithin and Jirimy go out to lunch together. When it is time to pay the bill, Nithin has only \(8\text{ dollars}\) which he gives to Jirimy who pays the rest. In all, Jirimy pays three-fifths of the bill. How much was the bill?

For Jeremy

My history teacher gave us four essay questions to study. He'll choose two for a test. I have time to study only two of the questions. What are the chances that at least one of the questions that I studied will be on the test?

For Christine

I have two candles, one an inch longer than the other. I light the longer one at \(3 \text{p.m.}\) and the shorter one at \(5\text{ p.m.}\) At \(9\text{ p.m.}\), they're the same length. The longer candle goes out at \(11\text{ p.m.}\), and the shorter one goes out at \(10:30\text{ p.m.}\) How long were they at the start?

For everybody

If it were two hours later, it would be half as long until midnight as it would be if it were one hour later. What time is it?

Solution >>>

For Nathan

Nithin and Jirimy go out to lunch together. When it is time to pay the bill, Nithin has only \(8\text{ dollars}\) which he gives to Jirimy who pays the rest. In all, Jirimy pays three-fifths of the bill. How much was the bill?

Answer: \($20\)

For Jeremy

My history teacher gave us four essay questions to study. He'll choose two for a test. I have time to study only two of the questions. What are the chances that at least one of the questions that I studied will be on the test?

Answer: The chances are five out of six that at least one of the two questions will be on the test.

For Christine

I have two candles, one an inch longer than the other. I light the longer one at \(3 \text{p.m.}\) and the shorter one at \(5\text{ p.m.}\) At \(9\text{ p.m.}\), they're the same length. The longer candle goes out at \(11\text{ p.m.}\), and the shorter one goes out at \(10:30\text{ p.m.}\) How long were they at the start?

Answer: \(11"\) and \(12"\).

For everybody

If it were two hours later, it would be half as long until midnight as it would be if it were one hour later. What time is it?

Answer: \(9:00\text{ p.m.}\)

<<< Question