The All World Social Touring Company employs guides for the nine tours that it operates separately in nine destinations: Albania, Azerbaijan, Italy, Kazakhstan, Kosovo, Mongolia, Russia, Tibet/Xinjiang, and Turkey. Guides who speak at least one of the qualifying languages for a given tour are eligible to guide that tour. Each of the All World Social Touring Company’s current guides speaks either exactly three or exactly one of the languages listed in the Qualifying Languages tab.The table below shows which languages qualify a guide to lead a tour in each destination. A shaded cell indicates that a guide who speaks the language listed in that row is eligible to guide the tour in the destination listed in that column. https://gmatclub.com/gmat-focus-tests/resources/import/img/I32.pngThe All World Social Touring Company’s tours in Albania, Azerbaijan, Kazakhstan, Kosovo, and Turkey visit an architecturally significant Muslim mosque. The company’s tours in Albania, Italy, Kazakhstan, and Russia visit an architecturally significant Christian church. The company’s tours in Mongolia, Russia, and Tibet/Xinjiang visit an architecturally significant Buddhist temple.

Official Solution: We need to determine which of the following languages Mehriban could not speak while still being eligible to guide exactly four tours: • English • Russian • Italian • Azerbaijani • Albanian Starting from the top choice: If Mehriban speaks English, then she is definitely eligible to guide the Albania, Italy, and Turkey tours. This is 3 tours so far, so we need to find two additional languages that together qualify Mehriban for only one more tour besides those three. Adding Italian does not qualify Mehriban to guide any more tours, since speaking English already qualifies her for the Albania and Italy tours. Adding Albanian qualifies Mehriban to guide the Kosovo tour, the only additional tour, since Mehriban is already qualified to guide the Albania tour. Thus, if Mehriban speaks English, Italian, and Albanian, she will be eligible to guide exactly four tours: Albania, Italy, Turkey, and Kosovo. Therefore, English, Italian, and Albanian are all languages that Mehriban could possibly speak and can be eliminated. We are left with the two options: • Russian • Azerbaijani Speaking Russian qualifies Mehriban to guide the Azerbaijan, Kazakhstan, Mongolia, and Russia tours. Thus, if Mehriban speaks Russian only, she is eligible to guide exactly four tours. Russian is therefore also a language that Mehriban could speak, so Russian can be eliminated as well, leaving only Azerbaijani as the correct answer. If Mehriban speaks Azerbaijani, then she is eligible to guide the Azerbaijan, Russia, and Turkey tours. Azerbaijani alone therefore qualifies her for only 3 tours, so she must speak two additional languages, since all of the company’s guides speak either one language or three. Of the remaining languages, only Turkish adds just one new tour, Kosovo. But even if Mehriban also speaks Turkish, she must still speak a third language, and every possible third language would qualify her for at least one more tour. Therefore, any three-language set containing Azerbaijani would qualify Mehriban for at least 5 tours. Therefore, Mehriban cannot possibly speak Azerbaijani and be eligible to guide exactly four tours. Correct answer: If Mehriban is an All World Social Touring Company guide who is eligible to guide exactly four of the company’s tours, then Mehriban CANNOT possibly speak "Azerbaijani"