In the figure given below, the rectangle represents the employees of an office, and the three circles show the employees who know French, German and Spanish. Each number is the number of employees in that region.
How many employees know German and Spanish but not French?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 9
The required region must lie inside the German circle and the Spanish circle but outside the French circle.
Inside both the German and Spanish circles: 3 and 9
Of these, 3 also lies inside the French circle, so it is left out
Only 9 is inside the German and Spanish circles and outside the French circle
Checking the other options
Option (1): 12 — Incorrect. This adds the 3 in the centre, who also know French.
Option (2): 3 — Incorrect. This is the region inside all three circles, so these employees know French too.
Option (3): 6 — Incorrect. This region lies inside the French and German circles, outside the Spanish circle.