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18 Aug 2026, 06:30
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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.
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.
For each of the following descriptions, select Possible if the description could possibly apply to a guide currently employed by the All World Social Touring Company. If the description cannot possibly apply to any of the company’s current guides, select Not Possible.
| Possible | Not Possible | |
| Ineligible to guide any tour that visits an architecturally significant Muslim mosque | ||
| Ineligible to guide any tour that visits an architecturally significant Buddhist temple, but eligible to guide any of the other tours | ||
| Eligible to guide exactly five of the company’s tours |
ShowHide Answer
Official Answer
Ineligible to guide any tour that visits an architecturally significant Muslim mosque: Possible
Ineligible to guide any tour that visits an architecturally significant Buddhist temple, but eligible to guide any of the other tours: Not Possible
Eligible to guide exactly five of the company’s tours: Possible
18 Aug 2026, 06:30
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Official Solution:
Each guide speaks either one or three of the listed languages. Therefore, a description is possible if at least one single language or set of 3 languages satisfies it. If no such language or set exists, the description is not possible.
• Ineligible to guide any tour that visits an architecturally significant Muslim mosque
The tours in Albania, Azerbaijan, Kazakhstan, Kosovo, and Turkey visit a Muslim mosque. To be ineligible for all of them, the guide cannot speak any language that qualifies for any of these tours. This rules out Albanian, English, Italian, Azerbaijani, Russian, Turkish, and Kazakh, leaving only Mandarin.
A guide can speak only Mandarin. Therefore, this description is Possible.
• Ineligible to guide any tour that visits an architecturally significant Buddhist temple, but eligible to guide any of the other tours
The Mongolia, Russia, and Tibet/Xinjiang tours visit a Buddhist temple. Being ineligible for all three rules out Azerbaijani, Kazakh, Mandarin, and Russian.
But the Kazakhstan tour requires Kazakh or Russian, and both have been ruled out. Thus, such a guide could not guide Kazakhstan, which is one of the other tours. Therefore, this description is Not Possible.
• Eligible to guide exactly five of the company’s tours
No single language qualifies a guide for more than 4 tours, so a guide satisfying this description must speak 3 languages.
To check whether this is possible, look in the Qualifying Languages table for three language rows that together contain shaded cells in exactly five destination columns. Equivalently, the combined three rows must leave exactly four destination columns unshaded.
There are several sets of 3 languages that satisfy this condition, including:
Albanian, Azerbaijani, Turkish
Azerbaijani, English, Italian
English, Italian, Mandarin
English, Italian, Turkish
For example, Albanian, Azerbaijani, and Turkish together qualify a guide for exactly five tours: Albania, Azerbaijan, Kosovo, Russia, and Turkey. Finding any one valid set is enough to establish that the description could apply to a current guide.
Therefore, this description is Possible.
Correct answer:
Ineligible to guide any tour that visits an architecturally significant Muslim mosque "Possible"
Ineligible to guide any tour that visits an architecturally significant Buddhist temple, but eligible to guide any of the other tours "Not Possible"
Eligible to guide exactly five of the company’s tours "Possible"
Bunuel
Each guide speaks either one or three of the listed languages. Therefore, a description is possible if at least one single language or set of 3 languages satisfies it. If no such language or set exists, the description is not possible.
• Ineligible to guide any tour that visits an architecturally significant Muslim mosque
The tours in Albania, Azerbaijan, Kazakhstan, Kosovo, and Turkey visit a Muslim mosque. To be ineligible for all of them, the guide cannot speak any language that qualifies for any of these tours. This rules out Albanian, English, Italian, Azerbaijani, Russian, Turkish, and Kazakh, leaving only Mandarin.
A guide can speak only Mandarin. Therefore, this description is Possible.
• Ineligible to guide any tour that visits an architecturally significant Buddhist temple, but eligible to guide any of the other tours
The Mongolia, Russia, and Tibet/Xinjiang tours visit a Buddhist temple. Being ineligible for all three rules out Azerbaijani, Kazakh, Mandarin, and Russian.
But the Kazakhstan tour requires Kazakh or Russian, and both have been ruled out. Thus, such a guide could not guide Kazakhstan, which is one of the other tours. Therefore, this description is Not Possible.
• Eligible to guide exactly five of the company’s tours
No single language qualifies a guide for more than 4 tours, so a guide satisfying this description must speak 3 languages.
To check whether this is possible, look in the Qualifying Languages table for three language rows that together contain shaded cells in exactly five destination columns. Equivalently, the combined three rows must leave exactly four destination columns unshaded.
There are several sets of 3 languages that satisfy this condition, including:
Albanian, Azerbaijani, Turkish
Azerbaijani, English, Italian
English, Italian, Mandarin
English, Italian, Turkish
For example, Albanian, Azerbaijani, and Turkish together qualify a guide for exactly five tours: Albania, Azerbaijan, Kosovo, Russia, and Turkey. Finding any one valid set is enough to establish that the description could apply to a current guide.
Therefore, this description is Possible.
Correct answer:
Ineligible to guide any tour that visits an architecturally significant Muslim mosque "Possible"
Ineligible to guide any tour that visits an architecturally significant Buddhist temple, but eligible to guide any of the other tours "Not Possible"
Eligible to guide exactly five of the company’s tours "Possible"
