Official Solution: Bunuel
For each of the following descriptions of a guide employed by the All World Social Touring Company, select
Yes if the description determines the exact language, or set of languages, out of those listed in the Qualifying Languages tab that the guide speaks. Otherwise, select
No.
• J.P. is eligible to guide all of the company’s tours No single language qualifies a guide for all nine tours, so J.P. must speak
three languages.
The Kazakhstan tour requires either Kazakh or Russian, while the Tibet/Xinjiang tour requires either Kazakh or Mandarin.
If J.P. speaks Russian instead of Kazakh, then J.P. must also speak Mandarin to cover Tibet/Xinjiang. To cover Kosovo, the third language would then have to be either Albanian or Turkish. However, Russian, Mandarin, and Albanian do not cover Turkey, while Russian, Mandarin, and Turkish do not cover Albania. Therefore, J.P. must speak Kazakh.
To cover Kosovo, J.P. must then speak either Albanian or Turkish. If J.P. speaks Albanian, no single third language can cover both the remaining Azerbaijan and Italy tours. Therefore, J.P. must speak Turkish.
With Kazakh and Turkish, only Albania and Italy remain. Both tours can be covered by either English or Italian. Thus, there are
two possible language sets:
Kazakh, Turkish, English
Kazakh, Turkish, Italian
Since J.P.’s exact set of languages is
not uniquely determined.
Answer:
No.
• M.R. is eligible to guide the company’s tours of all destinations except Kazakhstan M.R. is ineligible to guide the Kazakhstan tour, so M.R.
cannot speak either Kazakh or Russian.
To guide the Tibet/Xinjiang tour, M.R. must speak Mandarin, since the other qualifying language, Kazakh, has already been ruled out.
To guide the Russia tour, M.R. must speak Azerbaijani, since the other qualifying languages, Kazakh and Russian, have already been ruled out.
With Mandarin and Azerbaijani, M.R. must speak either Turkish or Albanian to cover Kosovo. If M.R. speaks Turkish, then M.R. cannot guide the Albania tour. Therefore, the third language must be Albanian.
Thus, the only possible set is Mandarin, Azerbaijani, and Albanian, which qualifies M.R. to guide every tour except Kazakhstan. Therefore, M.R.’s exact set of languages is determined.
Answer:
Yes.
• R.T. is not eligible to guide any of the company’s tours that visit an architecturally significant Christian church The Albania, Italy, Kazakhstan, and Russia tours visit a Christian church, so R.T. cannot guide any of these four tours.
Ineligible for Albania: Does not speak Albanian, English, or Italian.
Ineligible for Italy: Does not speak Mandarin (English and Italian have already been ruled out).
Ineligible for Kazakhstan: Does not speak Kazakh or Russian.
Ineligible for Russia: Does not speak Azerbaijani (Kazakh and Russian have already been ruled out).
This leaves only Turkish among the listed languages. Therefore, R.T. must speak only Turkish, so R.T.’s exact language is determined.
Answer:
Yes.
Correct answer: J.P. is eligible to guide all of the company’s tours.
"No"M.R. is eligible to guide the company’s tours of all destinations except Kazakhstan.
"Yes"R.T. is not eligible to guide any tour that visits an architecturally significant Christian church.
"Yes"