In the following figure, the rectangle represents Mechanics, the circle represents Artists, the triangle represents Gamers and the square represents Golfers. Which set of letters represents Mechanics who are either Artists or Gamers?
- ADEIGH
- BDEIG
- CEGH
- DIGH
Solution & Step-by-step Explanation
Let's isolate the specific criteria from the question step-by-step:
Must be Mechanics → Must lie inside the Rectangle.
Must be either Artists or Gamers → Must also lie inside the Circle (Artists) OR inside the Triangle (Gamers), or both.
Let's examine the letter regions inside the Rectangle that satisfy being inside either the Circle or the Triangle:
D: Inside Rectangle and Circle.
E: Inside Rectangle, Circle, and Triangle.
I: Inside Rectangle and Triangle.
G: Inside Rectangle, Square, Circle, and Triangle.
Combining these matching letters together, we get the set DEIG.
Must be Mechanics → Must lie inside the Rectangle.
Must be either Artists or Gamers → Must also lie inside the Circle (Artists) OR inside the Triangle (Gamers), or both.
Let's examine the letter regions inside the Rectangle that satisfy being inside either the Circle or the Triangle:
D: Inside Rectangle and Circle.
E: Inside Rectangle, Circle, and Triangle.
I: Inside Rectangle and Triangle.
G: Inside Rectangle, Square, Circle, and Triangle.
Combining these matching letters together, we get the set DEIG.