So here is a couple thoughts about your IQ for all — first, what benefit does the IQ test give the hypothetical twins’ parents? From the way you present the facts, at most, the IQ test confirms what they already believe or know about their daughters. How much value is there in such a confirmation? I don’t believe there is much, unless it somehow gives you options you didn’t have before.

The parents clearly already know there are intellectual differences between the kids, as do most parents. For parents and students, an IQ test (when accurate) tells us what we already know or strongly suspect.

It might be nice to know this and have some independent confirmation of it, but in today’s society, it doesn’t amount to much. For example, despite our school system giving IQ tests to all kids in the 3rd and 5th grade, they all follow the same path until high school, where finally, honors and AP are offered.

My second thought is, even if you found some benefit in having that IQ test score, who do you know that writes a brief, standardized, culture-fair — and I add, accurate — IQ test? I’m not sure such an instrument exists.

STANDARDIZED TESTS: THE INTERPRETATION OF RACIAL AND ETHNIC GAPS

Black children from the wealthiest families have mean SAT scores lower than white children from families below the poverty line.

Black children of parents with graduate degrees have lower SAT scores than white children of parents with a high-school diploma or less.

Light travels in straight lines only. (Never mind gravitational lensing for this one.) Thus, the reflection from the left side of your face will travel straight to the left side of the mirror, the right side to the right. Then, it travels in straight lines right back to you. Of necessity, what reflects from the mirror back to you is reversed side to side. Top and bottom remain right where they are, as you would expect.