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In a survey of 60 people, it was found t...

In a survey of 60 people, it was found that 25 people read newspaper H, 26 read newspaper T, 26 read newspaper I, 9 read both H and I, 11 read both H and T, 8 read both T and I, 3 read all three newspapers. Find: the number of people who read exactly one newspaper.

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In a survey of 60 people, it was found that 25 people read newspaper H, 26 read newspaper T, 26 read newspaper I, 9 read both H and I, 11 read both H and T, 8 read both T and I, 3 read all three newspapers. Find: the number of people who read at least one of the newspapers.

In a survey of 100 persons it was found that 28 read magazine A, 30 read magazine B, 42 read magazine C, 8 read magazines A and B, 10 read magazines A and C, 5 read magazines B and C and 3 read all three magazines. Find : How many read magazine C only ?

In a survey of 100 persons it was found that 28 read magazine A, 30 read magazine B, 42 read magazine C, 8 read magazines A and B, 10 read magazines A and C, 5 read magazines B and C and 3 read all three magazines. Find : How many read none of three magazines ?

In a hostel, 60% of the students read Hindi newspaper, 40% read English newspaper and 20% read both Hindi and English news paper. A student is selected at random. If she reads English newspaper, find the probability that she reads Hindi newspaper.

In a hostel, 60% of the students read Hindi newspaper, 40% read English newspaper and 20% read both Hindi and English news paper. A student is selected at random. If she reads Hindi newspaper, find the probability that she reads English newspaper.

In a hostel, 60% of the students read Hindi news paper, 40% read English news paper and 20% read both Hindi and English news papers. A student is selected at random. If she reads Hindi news paper, find the probability that she reads English news paper.

In a hostel, 60% of the students read Hindi news paper, 40% read English news paper and 20% read both Hindi and English news papers. A student is selected at random. If she reads English news paper, find the probability that she reads Hindi news paper.

In a survey of population of 450 people, it is found that 205 can speak English, 210 can speak Hindi and 120 people can speak Tamil. If 100 people can speak both Hindi and English, 80 people can speak both English and Tamil, 35 people can speak Hindi and Tamil and 20 people can speak all the three languages, find the number of people who can speak English but not a Hindi or Tamil. Find also the number of people who can speak neither English nor Hindi nor Tamil.

PSEB-SETS-EXERCISE
  1. In the following, determine whether the statement is true or false. If...

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  2. In the following, determine whether the statement is true or false. If...

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  3. In the following, determine whether the statement is true or false. If...

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  4. In the following, determine whether the statement is true or false. If...

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  5. Let A, B, and C be the sets such that A uu B = A uu C and A nn B = A n...

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  6. Show that the following four conditions are equivalent : (i) A sub B (...

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  7. Show that if A sub B, then C -B sub C -A.

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  8. Assume that P(A) = P(B). Show that A = B

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  9. Is it true that for any sets A and B, P(A) uu P(B) = P(A uu B)? Justif...

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  10. Show that for any sets A and B, A = ( A nn B) uu ( A -B ) and A uu (B-...

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  11. Using properties of sets, show that A uu ( A nn B)=A

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  12. Using properties of sets, show that A nn (A uu B)=A

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  13. Show that A nn B = A nn C need not imply B = C.

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  14. Let A and B be sets. If A nn X = B nn X =phi and A uu X = B uu X for s...

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  15. Find sets A, B and C such that A nn B, B nn C and A nn C are non-empty...

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  16. In a survey of 600 students in a school, 150 students were found to be...

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  17. In a group of students, 100 students know Hindi, 50 know English and 2...

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  18. In a survey of 60 people, it was found that 25 people read newspaper H...

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  19. In a survey of 60 people, it was found that 25 people read newspaper H...

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  20. In a survey it was found that 21 people liked product A, 26 liked prod...

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