Cliff is older than Tanya.
Eric is older than Cliff.
If the first two statements are true, then the third statement is:
(A) True
(B) False
(C) Uncertain
(D) Data insufficient
Age Order Analysis
The problem presents three statements about the relative ages of Tanya, Eric, and Cliff. We are given that the first two statements are true and need to determine the truth value of the third statement.
- Statement 1: Tanya is older than Eric. We represent this as $Tanya > Eric$.
- Statement 2: Cliff is older than Tanya. We represent this as $Cliff > Tanya$.
- Statement 3: Eric is older than Cliff. We represent this as $Eric > Cliff$.
We assume Statement 1 and Statement 2 are true.
Deduction from True Statements
By combining the information from the two true statements, we can establish a definitive age order:
Since $Cliff > Tanya$ (Statement 2 is true) and $Tanya > Eric$ (Statement 1 is true), it logically follows that Cliff must be older than Eric.
The combined, true age order is: $Cliff > Tanya > Eric$.
Statement 3 Truth Evaluation
Now, let's evaluate Statement 3: $Eric > Cliff$.
Our deduced order ($Cliff > Tanya > Eric$) clearly shows that Cliff is older than Eric ($Cliff > Eric$).
Therefore, the statement $Eric > Cliff$ contradicts the established true order.
Statement 3 Conclusion
Since Statement 3 contradicts the logical conclusion derived from the first two true statements, Statement 3 must be False.
Important Questions from Logical Inferences
- Which of the following statements about languages and dialects is/are CORRECT?
- A person has a plan to climb a hill to reach the hilltop. She observes that there is a sudden rise in the water level in the stream coming down from the hill. From this she concludes that it must be raining heavily on the hilltop. Therefore, she should postpone her expedition to some later time.
Which one or more of the following kinds of inference does this person’s reasoning involve as per the Nyāya view? - Identify the instance(s) of inductive reasoning from the following options.
A recent survey shows that 65% of tobacco users were advised to stop consuming tobacco. The survey also shows that 3 out of 10 tobacco users attempted to stop using tobacco.
Based only on the information in the above passage, which one of the following options can be logically inferred with certainty?Students of all the departments of a college who have successfully completed the registration process are eligible to vote in the upcoming college elections. However, by the time the due date for registration was over, it was found that suprisingly none of the students from the Department of Human Sciences had completed the registration process.
Based only on the information provided above, which one of the following sets of statement(s) can be logically inferred with certainty?
(i) All those students who would not be eligible to vote in the college elections would certainly belong to the Department of Human Sciences.
(ii) None of the students from departments other than Human Sciences failed to complete the registration process within the due time.
(iii) All the eligible voters would certainly be students who are not from the Department of Human Sciences.
