Question

Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusion(s) logically follow(s) from the statements. Statements: Some phones are tablets. Some tablets are scanners. All scanners are cameras. Conclusions: (I) Some cameras are tablets. (II) All cameras are phones.

• A. Only conclusion (II) follows.
• B. Neither conclusion (I) nor (II) follows.
• C. Only conclusion (I) follows.
• D. Both conclusions (I) and (II) follow.

Answer 1

Answer:

C. Only conclusion (I) follows.

Only Conclusion (I) follows.

To solve this syllogism problem easily, we can break down the statements logically or visualize them using Venn diagrams:

• Statement 1: "Some phones are tablets." (There is an intersection between the Phone circle and the Tablet circle).

• Statement 2: "Some tablets are scanners." (There is an intersection between the Tablet circle and the Scanner circle).

• Statement 3: "All scanners are cameras." (The entire Scanner circle is completely inside the Camera circle).

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Evaluating the Conclusions

• Conclusion (I): "Some cameras are tablets." → TRUE

  • Why: Since "Some tablets are scanners" and all scanners are forced to be inside the "Camera" circle, any tablet that is a scanner must also be a camera. Therefore, a definite intersection exists between Tablets and Cameras.

• Conclusion (II): "All cameras are phones." → FALSE

  • Why: The statements do not provide any direct link or constraint connecting the Camera circle to the Phone circle. While it might be possible in some scenarios, it is not a definite logical certainty.