Reply #7: It's a trick question

[Lionel Mandrake]

to see if you know the definitions of "equinox", "solstice", and "declination". The etymology of these words is the best mnemonic device for remembering their meanings. This approach should appeal to a history major.

By definition, the declination of the sun is zero at the equinoxes. The declination of the sun is plus or minus the "tilt of the earth" (i.e., the obliquity of the ecliptic) at the solstices.

The dates of the equinoxes would also change if the tilt of the earth changed, because the equinoxes precess at a rate that depends on the "tilt of the earth". This has to do with the torque exerted on the spinning earth by the sun and moon. You are probably not expected to know this.

By the way, It is because of this precession that the sun moves from one "sign of the zodiac" to another on different dates now than it did when western astrology was invented. There was a recent thread about the resulting disagreement among astrologers. Of course, both points of view are equally ridiculous.