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Ques 1 Gate 2022 Set-1
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. 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?
(b) is the correct answer.
Given:
• P is learning French and Dutch.
• Q is learning Chinese and Japanese.
• R is learning Spanish and French.
• S is learning Dutch and Japanese.
Establish Language Difficulty Hierarchy:
We are given four comparative statements:
1. French is easier than Dutch (French < Dutch)
2. Chinese is harder than Japanese (Japanese < Chinese)
3. Dutch is easier than Japanese (Dutch < Japanese)
4. Spanish is easier than French (Spanish < French)
Let's combine these relationships to create an ordered list from easiest to hardest:
• From (4), Spanish is easier than French.
• From (1), French is easier than Dutch.
• From (3), Dutch is easier than Japanese.
• From (2), Japanese is easier than Chinese.
This gives us the complete difficulty order:
Spanish < French < Dutch < Japanese < Chinese
To make comparisons easier, let's assign a conceptual "difficulty score" where 1 is the easiest and 5 is the hardest:
• Spanish: 1
• French: 2
• Dutch: 3
• Japanese: 4
• Chinese: 5
Evaluate Each Girl's Pair of Languages:
Now, let's list the languages for each girl along with their difficulty scores:
• P: French (2), Dutch (3)
• Q: Chinese (5), Japanese (4)
• R: Spanish (1), French (2)
• S: Dutch (3), Japanese (4)
To find the girl learning the "most difficult pair," we can consider the total difficulty of the two languages. Let's sum the difficulty scores for each pair:
• P: 2 (French) + 3 (Dutch) = 5
• Q: 5 (Chinese) + 4 (Japanese) = 9
• R: 1 (Spanish) + 2 (French) = 3
• S: 3 (Dutch) + 4 (Japanese) = 7
Identify the Most Difficult Pair:
Comparing the total difficulty scores:
• P: 5
• Q: 9
• R: 3
• S: 7
Girl Q has the highest total difficulty score (9), indicating that she is learning the most difficult pair of languages (Chinese and Japanese).
Ques 2 GATE 2020
P, Q, R S, T U, V, and W are seated around a circular table.
I. S is seated opposite to W.
II. U is seated at the second place to the right of R.
III. T is seated at the third place to the left of R.
IV. V is a neighbour of S.
Which of the following must be true?
(c) is the correct answer.
Ques 3 Gate 2017 Set-1
Six people are seated around a circular table. There are at least two men and two women. There are at least three right-handed persons. Every woman has a left-handed person to her immediate right. None of the women are right-handed. The number of women at the table is
(a) is the correct answer.
Ques 4 Gate 2017 Set-1
Rahul, Murali, Srinivas and Arul are seated around a square table. Rahul is sitting to the left of Murali. Srinivas is sitting to the right of Arul. Which of the following pairs are seated opposite each other ?
(d) is the correct answer.