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1500 students appeared in an examination, which consist of three papers: History, Geography and Economics. 190 students passed in History only, 180 students passed in Geography only whereas 240 students passed in Economics only. 366 students passed in both History and Economics, 346 students passed in both Economics and Geography and 326 passed in both History and Geography. 206 students passed in all the three papers. How many students passed in any two papers only?

1500 students appeared in an examination, which consist of three papers: History, Geography and Economics. 190 students passed in History only, 180 students passed in Geography only whereas 240 students passed in Economics only. 366 students passed in both History and Economics, 346 students passed in both Economics and Geography and 326 passed in both History and Geography. 206 students passed in all the three papers. How many students passed in any two papers only? Correct Answer 420

Total = 1500

Students passed in History only = 190

Students passed in Geography only = 180

Students passed in Economics only = 240

Students passed in both History and Economics = 366

Students passed in both Economics and Geography = 346

Students passed in both History and Geography = 326

Students passed in all the three papers = 206

Students passed in History and Economics only = 366 - 206 = 160

Students passed in Economics and Geography only = 346 - 206 = 140

Students passed in History and Geography only = 326 - 206 = 120

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Number of students passed in any two papers only = 160 + 120 + 140 = 420

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