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Here is my take for Q3.

3) Which of the following discoveries, if true, would best support the protoplanet hypothesis that the temperature difference is responsible for the different sizes of planets on either side of the frost line?

(A) The core of Saturn and the core of Mercury are found to be 98% composed of the same materials. -Incorrect, If the composition of the core for both of the planets on either side of the frost line is similar then this fact will completely destroy the protoplanet hypothesis. We don't want that.

(B) The cores of Saturn and Jupiter are found to each contain at least five chemical elements not found in the other. - Incorrect, Okay so we have at least 5 different chemical elements in Saturn & Jupiter, but here we have no idea about the proportions of those chemicals in each of the planet. Furthermore, if both the planets are so different from each other then this would result in the destruction of protoplanet hypothesis, because both the planets fall on the same side of the frost line.

(C) The core of the Earth and the core of Mars are found to be comprised of the same mix of chemical elements. -Correct, we have same mix of chemical elements on the same side of the frost line. This is good, this is exactly what we want. Keep it.

(D) A nearby star is found to be orbited by six planets, and the size of each is inversely proportional to its distance from the star. - Incorrect, well protoplanet hypo. is concerned with our solar system and is theorizing about the creation of planets which revolve around our sun. We can say that may be a nearby star and its' 6 planets comes under our solar system but still there is no mention of the word TEMPERATURE in this choice nor anything which can be affected by temperature. We need a fact/ outside knowledge/ new information which can elevate the position of the role played by temperature in this hypothesis.

(E) The Earth’s moon is found to have a vastly different composition from that of the moons of Jupiter. - Incorrect, Again may be the moons were made from their respective planets or may be someone dropped them off at some point of time. We don't know anything about moons. Our sole concern in this passage is the Sun and its' planets and how they could be created. Lets' not assume in such question and stick to an option which can directly help support the hypothesis.
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