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

Step 1: Work out what "all the languages except Spanish" means on the diagram.
There are four circles: Russian, English, French and Spanish. A person who reads and writes "all the languages except Spanish" knows Russian, English and French together, but does not know Spanish. On the four-circle diagram this is the three-way overlap of the Russian, English and French circles, lying completely outside the Spanish circle.

Step 2: Locate that region.
The middle of the diagram has five small regions: i, j, m, l and k. Region m is the very centre where all four circles overlap, so it includes Spanish too and cannot be the answer. The region diagonally opposite the Spanish circle (which sits at the bottom right of the figure) is at the top left of the small cluster, and that is exactly the overlap of Russian, English and French only, without Spanish. That region is labelled i.

Step 3: Rule out the other options.
Option A, k, sits on the side away from Russian, so it represents English, French and Spanish together, not what we want. Option B, g, is the "only French" pocket, a single language, not three. Option C, b, is only the Russian-English overlap, missing French.

Final Answer:
Region i represents people who know Russian, English and French but not Spanish. \[ \boxed{\text{i (Option D)}} \]