How do you solve this question? It’s from tickbox quiz #12, but the question Greg solved in the solutions video had different degrees and A/B options. He did mention it’s testing foundation in a tricky way.
Points to note:
- Area is directly (squarely) proportional to the side of square
You can try imagining it like this:
- If the angle (theta) is 45 degrees, the square will be smallest
- As theta tends to 0, square ABCD becomes larger, and closer to square PQRS (imagine rotating ABCD but the corners keep touching PQRS)
- Sum of theta and angle(SDC) = 90, so they are converse, meaning as theta increases, angle D decreases. So as theta approaches 90 degrees, same effect as in point 2.
Hence in conclusion, ABCD is smallest when theta is 45 degree - thats when angle D will also be 45. And the amount theta deviates from 45 degrees value, is the amount ABCD enlarges, hence as 10 degrees is further away from 45 degrees than 60 degrees(difference in values). Hence quantity x is greater.