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 cannot read and write Spanish and French but are conversant with English and Russian are represented by

• A. b
• B. j
• C. m
• D. k

Hint:

Find the region inside Russian and English but outside French and Spanish.

Answer 1

The Correct Option is A

Build the answer from the two conditions separately, then combine them.

1. Condition 1: "conversant with English and Russian" restricts us to the overlap of the English and Russian circles.
2. Condition 2: "cannot read Spanish and French" removes any part of that overlap that also falls inside the French or Spanish circles.
3. Option A (b): this is exactly the Russian-English overlap that sits clear of the French and Spanish circles, so it satisfies both conditions.
4. Option B (j), Option C (m) and Option D (k) all include Spanish, French, or both, so each fails condition 2.

Only region b, option A, fits both conditions at once. \[ \boxed{b} \]