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Question

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 Spanis hand French. S is 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?

The correct answer is
Q

Language Difficulty Ranking

Establish the relative difficulty of the languages from the given statements:

  • Spanish is easier than French: Spanish < French
  • French is easier than Dutch: French < Dutch
  • Dutch is easier than Japanese: Dutch < Japanese
  • Chinese is harder than Japanese: Japanese < Chinese

Combining these inequalities gives the complete difficulty order from easiest to hardest:

Spanish < French < Dutch < Japanese < Chinese

Analyzing Language Pairs Difficulty

Evaluate the difficulty of the language pair each girl is learning:

  • P learns French and Dutch. These languages fall in the lower-middle range of difficulty.
  • Q learns Chinese and Japanese. These are the two hardest languages according to the ranking.
  • R learns Spanish and French. These are the two easiest languages.
  • S learns Dutch and Japanese. This pair includes a middle-difficulty language and a hard language.

Identifying Most Difficult Pair

Compare the pairs based on the established difficulty ranking:

  • R's pair (Spanish, French) is the easiest.
  • P's pair (French, Dutch) is of intermediate difficulty.
  • S's pair (Dutch, Japanese) is harder than P's pair.
  • Q's pair (Chinese, Japanese) comprises the two highest-ranked difficult languages.

Therefore, girl Q is learning the most difficult pair of languages.

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Important Questions from Analytical Aptitude

  1. An ant is at the bottom-left corner of a grid (point P) as shown above. It aims to move to the top-right corner of the grid. The ant moves only along the lines marked in the grid such that the current distance to the top-right corner strictly decreases. 
    Which one of the following is a part of a possible trajectory of the ant during the movement?

  2. A building has several rooms and doors as shown in the top view of the building given below. The doors are closed initially. 
    What is the minimum number of doors that need to be opened in order to go from the point P to the point Q?

  3. An art gallery engages a security guard to ensure that the items displayed are protected. The diagram below represents the plan of the gallery where the boundary walls are opaque. The location the security guard posted is identified such that all the inner space (shaded region in the plan) of the gallery is within the line of sight of the security guard. 
    If the security guard does not move around the posted location and has a 360° view, which one of the following correctly represents the set of ALL possible locations among the locations P, Q, R and S, where the security guard can be posted to watch over the entire inner space of the gallery.

  4. A person was born on the fifth Monday of February in a particular year.
    Which one of the following statements is correct based on the above information?
  5. The vector sum of all the external forces acting on a rigid body is expressed as $\sum F$ and the vector sum of moments of the external forces about a point is given as $\sum M$. The rigid body is in equilibrium if
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