Question

Staff employed in a UNESCO office in Paris are represented by four intersecting circles, one each for people who can read and write Russian, English, French and Spanish. The strength of people in some regions is given: \(a = 40, \quad c = 2a, \quad e = \frac{1}{2}a, \quad g = 2E\)

People who can read and write all the languages except Spanish are represented by

• A. k
• B. g
• C. b
• D. i

Hint:

Look for the triple-overlap region that sits opposite the Spanish circle.

Answer 1

The Correct Option is D

A quick way to read this diagram is to notice that each of the four small "triple overlap" regions (i, j, l, k) sits opposite the one circle it leaves out.

1. Option A (k): this triple region is farthest from the Russian circle, so k means English, French and Spanish together, without Russian. Not a match.
2. Option B (g): this is a single-circle pocket, the "only French" group, not three languages. Not a match.
3. Option C (b): this is a two-circle overlap of Russian and English only, missing French entirely. Not a match.
4. Option D (i): this triple region sits opposite the Spanish circle, so it stands for Russian, English and French together while leaving out Spanish, exactly the group the question describes.

So the people who read and write all the languages except Spanish are represented by region i, option D. \[ \boxed{i} \]