Four girls P, Q, R and S are studying languages in a university. P is learning French and Dutch. Q is learning Chinese and Japanese. R is learning Spanish and French. Sis learning Dutch and Japanese. Given that: French is easier than Dutch; Chinese is harder than Japanese; Dutch is easier than Japanese, and Spanish is easier than French. Based on the above information, which girl is learning the most difficult pair of languages?
Correct Answer :
Q
Solution :
The correct option is Q.
To determine which girl is learning the most difficult pair of languages, we first need to establish the relative difficulty of all the languages mentioned: French, Dutch, Chinese, Japanese, and Spanish.
Let us analyze the given difficulty relationships:
1. French is easier than Dutch (French < Dutch).
2. Dutch is easier than Japanese (Dutch < Japanese).
3. Combining these two, we get: Spanish/French < Dutch < Japanese.
4. Spanish is easier than French (Spanish < French).
5. Chinese is harder than Japanese (Japanese < Chinese).
By ordering the languages from easiest to hardest based on these relationships, we get:
Spanish < French < Dutch < Japanese < Chinese.
Now, let us list the pair of languages each girl is learning and evaluate their difficulties:
• P is learning French and Dutch.
• Q is learning Chinese and Japanese.
• R is learning Spanish and French.
• S is learning Dutch and Japanese.
Comparing the pairs, Chinese and Japanese are the two most difficult languages in the entire group. Since girl Q is learning Chinese and Japanese, she is learning the most difficult pair of languages.
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