Question

If the following question, select one alternative in which the third statement is implied by the first two statements.

• A. All wolve's are wild. All tiger's are wild. So, all tigers are wolves.
• B. All oranges are red. Some peaches are strawberries. So, all peaches are red.
• C. All buses are boxes. All hens are buses. So, all boxes are hens.
• D. All PQR can run. All ABC are PQR. So, all ABC can run.

Answer 1

The Correct Option is D

To determine which option logically follows from the given premises, let's analyze each option step-by-step:

1. Option 1: "All wolve's are wild. All tiger's are wild. So, all tigers are wolves."

   • Statement 1: All wolves are wild.
   • Statement 2: All tigers are wild.
   • Conclusion: So, all tigers are wolves.
   • Analysis: The conclusion does not logically follow because although both wolves and tigers are wild, there is no statement linking tigers directly to being wolves. Thus, this conclusion is incorrect.

2. Option 2: "All oranges are red. Some peaches are strawberries. So, all peaches are red."

   • Statement 1: All oranges are red.
   • Statement 2: Some peaches are strawberries.
   • Conclusion: So, all peaches are red.
   • Analysis: The conclusion does not logically follow because the statements do not provide sufficient linkage between peaches and being red. This makes the conclusion incorrect.

3. Option 3: "All buses are boxes. All hens are buses. So, all boxes are hens."

   • Statement 1: All buses are boxes.
   • Statement 2: All hens are buses.
   • Conclusion: So, all boxes are hens.
   • Analysis: The conclusion does not logically follow because the inclusion sequence is incorrect. We would expect the correct conclusion to state that "All hens are boxes," not the erroneous reverse statement. Thus, this conclusion is incorrect.

4. Option 4: "All PQR can run. All ABC are PQR. So, all ABC can run."

   • Statement 1: All PQR can run.
   • Statement 2: All ABC are PQR.
   • Conclusion: So, all ABC can run.
   • Analysis: This conclusion logically follows. If all PQR can run and all ABC are considered as PQR, then it directly implies that all ABC can run.

Therefore, the correct answer is Option 4: "All PQR can run. All ABC are PQR. So, all ABC can run.", as it is the only option where the third statement is logically implied by the first two statements.