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In a class of N students, 59% students passed in History, 72% students passed in Political Science and 35% students passed in both subjects. If 666 students passed in only Political Science, then, what is the value of N?

In a class of N students, 59% students passed in History, 72% students passed in Political Science and 35% students passed in both subjects. If 666 students passed in only Political Science, then, what is the value of N? Correct Answer 1800

GIVEN:

Total number of students = N

59% of students passed in History.

72% of students passed in Political Science.

35% students passed in both these subjects

Students who passed in only Political Science = 666

CONCEPT:

.Venn Diagram

CALCULATION:

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Number of students passed in History = 59%

Number of students passed in Political Science = 72%

Number of students passed in Both Subjects = 35%

Number of students passed in Only Political Science = (72% - 35%) = 37%

Given, 37% = 666

⇒ 1% = 18

⇒ 100% = 1800

∴ N = 1800

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