7. Syllogisms
Statements: 1. Some papers are pens. 2. All pens are scales. Conclusions: I. Some scales are papers. II. Some pens are papers.
Explanation Locked
Solve the problem or choose an option on the left to reveal the step-by-step interactive solver panel.
Statements: 1. Some papers are pens. 2. All pens are scales. Conclusions: I. Some scales are papers. II. Some pens are papers.
Interactive Visual Explanation
Step 1 of 3Map Statement 1: Some papers are pens
Represent this as overlapping circles for 'Papers' and 'Pens'. A subset of Papers resides within the Pens circle.
Map Statement 2: All pens are scales
Since all Pens are Scales, the entire circle of 'Pens' is nested inside the 'Scales' circle. Consequently, the overlap area of Papers & Pens is also nested inside Scales.
Evaluate Conclusions
Now evaluate the conclusions against our overlapping set intersections:
- **Conclusion I (Some scales are papers)**: The overlap area between Papers and Pens lies inside Scales, so some scales must be papers. (Follows)
- **Conclusion II (Some pens are papers)**: Since some papers are pens, some pens must be papers. (Follows)
CGL Exam Speed Trick
⚡ Venn Check: For syllogisms, drawing standard Venn diagrams is the most foolproof method. Ensure you check the 'minimal overlap' diagram. Here, the nested property guarantees both conclusions hold true instantly.
⚡ Speed-Run CGL Cheatsheet
Mastering these core principles will let you solve similar questions under 30 seconds.
Check the interactive visualizer in the first tab to see these formulas modeled geometrically!
My Attempts
No attempts recorded for this question yet. Submit your answer on the left to see stats.
Upgrade to Premium
You've used your 5 free visual explanations. Unlock unlimited access to hit your CGL targets.
Demo mode: Clicking unlocks unlimited reveals instantly for testing!