Logical Venn diagrams
Tested in 2 real MPSC questions across 1 year (2013–2013). See it in context on the interactive Concept Graph →
Years it was asked
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 ?
a)10
b)20
c)30
d)40✓ Correct
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%.