Only P's drink and S's age
Rule Analysis
The rule states: If a person is drinking beer, then they must be over 18 years old. This can be represented logically as: Drinking Beer $\implies$ Age > 18.
To ensure this rule is followed, we need to check cases that could potentially violate it. This involves checking the contrapositive form of the rule as well: If a person is not over 18 (i.e., Age $\le$ 18), then they must not be drinking beer (i.e., not Drinking Beer).
Checking Each Person
- P: P is 16 years old (Age $\le$ 18). P is not mentioned as drinking beer. To verify the rule, we must check what P is drinking to ensure P is *not* drinking beer.
- Q: Q is 25 years old (Age > 18). Q is not mentioned as drinking beer. This situation does not violate the rule, as the rule only mandates age for those drinking beer.
- R: R is drinking milkshake (not beer). This does not fall under the scope of the rule, which specifically applies to drinking beer.
- S: S is drinking a beer (Drinking Beer). According to the rule, S must be over 18. Therefore, S's age must be checked.
Required Checks
Based on the analysis:
- We must check S's age because S is drinking beer.
- We must check P's drink to confirm P is not drinking beer, as P is underage (16).
Therefore, the checks needed are P's drink and S's age.
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?
