Logical Venn diagrams
Logical Venn diagrams is a Aptitude concept from the MPSC syllabus, tested in 2 past MPSC questions (2013, 2025). Below are those real questions with their correct answers and explanations.
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Real questions that test this
एका परीक्षेत एकूण विद्यार्थ्यांच्या 35% विद्यार्थी हिन्दी या विषयात अनुत्तीर्ण झाले; 45% विद्यार्थी इंग्रजीत अनुत्तीर्ण झाले आणि 20% विद्यार्थी दोन्ही विषयात अनुत्तीर्ण झाले. तर एकूण विद्यार्थ्यांच्या शेकडा किती विद्यार्थी दोन्ही विषयात उत्तीर्ण झाले ? In an examination, 35% of the total students failed in Hindi; 45% failed in English and 20% failed in both. What percent of total students passed in both the subjects ?
Using Venn diagram or set theory formula: Failed in Hindi = 35%, English = 45%, Both = 20%. Total failed = 35 + 45 - 20 = 60%. Therefore, passed in both = 100 - 60 = 40%.
वेन आकृतीच्या आधारे योग्य पर्याय निवडा. Based on the Venn diagram choose the correct option.
The figure is a chain: the middle circle overlaps both outer circles, which do not touch each other. Utensils fit the middle: some utensils are steel and some are brass, but nothing is both steel and brass.