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Out of 100 students, 55 passed in Mathem...

Out of 100 students, 55 passed in Mathematics and 67 passed in Physics 100 students passed at least one of these two subjects. Find how many students passed in Physics only?

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`= 45`
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The probabilities that a student passes in Mathematics,Physics and Chemistry are m, p and c, respectively. Of these subjects, the student has a 75% chance of passing in at least one, a 50% chance of passing in at least two and a 40% chance of passing in exactly two. Which of the following relations are true?

In a class of 55 students, the number of students studying different subjects are 23 in Mathematics, 24 in Physics, 19 in Chemistry, 12 in Mathematics and Physics, 9 in Mathematics and Chemistry, 7 in Physics and Chemistry and 4 in all the three subjects. Find the number of students who have taken exactly one subject.

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KUMAR PRAKASHAN-SETS-PRACTICE WORK
  1. Taking the set of natural numbers as the universal set, write down the...

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  2. U= {x|x in N, 1 le x le 10}, A= {1, 3, 5, 7, 9}" and "B= {2, 5, 8}. Ve...

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  3. Fill in the blanks to make each of the following a true statement : ...

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  4. Fill in the blanks to make each of the following a true statement : ...

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  5. Fill in the blanks to make each of the following a true statement : ...

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  6. Fill in the blanks to make each of the following a true statement : ...

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  7. Fill in the blanks to make each of the following a true statement : ...

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  8. Fill in the blanks to make each of the following a true statement : ...

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  9. In a town, 20% population travel by car, 50% travel by bus and 10% pop...

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  10. Out of 100 students, 55 passed in Mathematics and 67 passed in Physics...

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  11. In a survey of a society, 1000 people speak Gujarati or Hindi. 50% peo...

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  12. In a school there are 20 teachers who teach mathematics or physics. Of...

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  13. If A and B be two sets containing 3 and 6 elements respectively. What ...

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  14. In a twon of 840 persons, 450 persons read Hindi 300 read English and ...

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  15. There are 880 boys in a school. Out of these 224 boys play cricket, 24...

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  16. A students has freedom to study any subject of his choice. In a group ...

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  17. In a class of 30 students, 12 students like emboidary, 16 students lik...

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  18. A and B are two sets. (A - B) cup B= A if and only if B sub A.

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  19. A - (B capC) = (A - B) cap (A-C) .

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  20. For any two sets A and B, prove that A cup B= A cap B iff A = B.

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