Analyzing the Puzzle Scenario
We are given a logic puzzle involving three people: P, Q, and R. We know the following:
- P is looking at Q.
- Q is looking at R.
- P is married.
- R is not married (unmarried).
- Q's marital status is unknown.
The goal is to find the number of pairs where a married person is looking at an unmarried person.
Determining Married-to-Unmarried Pairs
Let's represent Married as 'M' and Unmarried as 'U'.
We have two specific looking relationships:
- P (M) looks at Q (?): P is definitely married. Q's status is the variable.
- Q (?) looks at R (U): R is definitely unmarried. Q's status is the variable.
We need to consider the two possible marital statuses for Q:
Case 1: Q is Married (M)
- P (M) looks at Q (M): This is a Married looking at Married pair. Does not count.
- Q (M) looks at R (U): This is a Married looking at Unmarried pair. Counts as 1.
In this case, there is exactly 1 pair where a married person looks at an unmarried person.
Case 2: Q is Unmarried (U)
- P (M) looks at Q (U): This is a Married looking at Unmarried pair. Counts as 1.
- Q (U) looks at R (U): This is an Unmarried looking at Unmarried pair. Does not count.
In this case, there is also exactly 1 pair where a married person looks at an unmarried person.
Conclusion
In both possible scenarios for Q's marital status, the number of pairs where a married person is looking at an unmarried person remains consistent.
Therefore, the total number of such pairs is 1.
Important Questions from Logical Deduction
- Consider the following two phonological rules:
Rule 1: Vowel Epenthesis of [ɪ] after sibilant-ending stems
Rule 2: Progressive Voicing Assimilation of the plural affix
Which ONE of the following rule ordering relations apply in the case of regular English pluralization as in ‘horse’ – ‘horses’? - Based only on the conversation below, identify the logically correct inference:
“Even if I had known that you were in the hospital, I would not have gone there to see you", Ramya told Josephine. Consider a five-digit number PQRST that has distinct digits P, Q, R, S and T, and satisfies the following conditions:
$P < Q$
$S > P > T$
$R < T$
If integers 1 through 5 are used to construct such a number, the value of P is:Residency is a famous housing complex with many well-established individuals among its residents. A recent survey conducted among the residents of the complex revealed that all of those residents who are well established in their respective fields happen to be academicians. The survey also revealed that most of these academicians are authors of some best-selling books.
Based only on the information provided above, which one of the following statements can be logically inferred with certainty?- The police arrested four criminals – P, Q, R and S. The criminals knew each other. They made the following statements:
P says "Q committed the crime.”
Q says "S committed the crime. "
R says"I did not do it."
S says "What Q said about me is false."
Assume only one of the arrested four committed the crime and only one of the statements made above is true. Who committed the crime?
