You are given a background paragraph that describes one or more causal or qualitative relationships such as a relationship in economics or a scientific law and a story that makes use of the concepts or the relationship described in the provided paragraph. You need to come up with a question about the story that requires an understanding of the relationship described in the background paragraph. The generated question should not be answerable without both the background and story. Write a question about the story that requires a relationship in the background paragraph to answer. Check whether your question requires both the background paragraph and the story to answer. If your question can be answered by only one of these, try to rewrite your question so that it requires both. Note that "flipping" a word in the question can give rise to a new question where the answer will be different from the original question. Often, "flipping" a word gives rise to flipping the direction of the relationship, for example, from "increase" to "decrease."

[Q]: Background Paragraph: Machines make work easier by increasing the amount of force that is applied, increasing the distance over which the force is applied, or changing the direction in which the force is applied. Contrary to popular belief, machines do not increase the amount of work that is done. They just change how the work is done. So if a machine increases the force applied, it must apply the force over a shorter distance. Similarly, if a machine increases the distance over which the force is applied, it must apply less force.
Story: Archimedes was a great scientist. He was also a great inventor of machines. He once said that if he could stand somewhere, he could move the earth with his machine. Hearing that, king of Sicily called Archimedes and his fellow scientist Ptolemy to come up with great inventions. Archimedes, as everyone expected, came up with a great machine. But Ptolemy couldn't do much in such a limited time. So, his device was not a machine.
[A]: Whose device would have created less applied force, Archimedes or Ptolemy?

[Q]: Background Paragraph: Mantle melting can come about three ways: (1) when the temperature rises, (2) if the pressure lowers (which lowers the melting point), and (3) if water is added, which lowers the melting point. Two of these (1 and 3) might explain why there are volcanoes at convergent plate boundaries the temperature of the subducting plate increases as it sinks into the hot mantle (1). Sediments lying on top of the subducting plate contain water. As the sediments subduct, the water rises into the overlying mantle material. This lowers the melting temperature of the mantle (3). When the mantle above the subducting plate melts, volcanoes form above it. This leads to volcanoes in an island arc or continental arc.
Story: Two brothers Syd and Dan went to college. Syd studied plate tectonics and mantle melting. His brother Dan got to study types of soil and pedology.
[A]: Which brother studied less about added water lowering the mantle's melting point?

[Q]: Background Paragraph: Figure B above shows an important relationship between the wavelength and frequency of a wave. The top wave clearly has a shorter wavelength than the second wave. However, if you picture yourself at a stationary point watching these waves pass by, more waves of the first kind would pass by in a given amount of time. Thus the frequency of the first waves is greater than that of the second waves. Wavelength and frequency are therefore inversely related. As the wavelength of a wave increases, its frequency decreases. The equation that relates the two is.
Story: Bill is working in a sound studio recording sound effects for a short film that he is working on. Some of the sounds he captured have a very high frequency and others are very low frequency. When he is done he begins to edit the sound with a computer program.
Patrick is measuring voltages with an oscilloscope. As he is testing various objects, he notices a number of frequency changes on the display.
[A]:
If Patrick noticed a long wavelength on his oscilloscope was the frequency high or low?