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
- The following observation is made about the scores obtained by 100 students in an exam:
'For each student, there exists another student in the class such that their scores are at most ten marks away.'
If the above statement is false, which one of the following statements is necessarily true? - 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’? Consider a linear arrangement of seven bulbs, each of which can be in the ON or OFF states. The initial configuration of the bulbs is shown in the figure. In every Step, the states of the bulbs are changed based on the following rules:
- Any OFF bulb with exactly one ON neighbor at the end of the previous Step is turned ON.
- Any ON bulb with both neighbors ON at the end of the previous Step is turned OFF.
- The state of any bulb not meeting the conditions above is left unchanged.
The state of bulbs at the end of Step 1 and Step 2 are also shown in the figure.
The number of bulbs which are ON at the end of Step 8 is ______
- 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:
