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In a committee, 50 people speak French, ...

In a committee, 50 people speak French, 20 speak Spanish and 10 speak both Spanish and French. How many speak at least one of these two languages?

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In a group of people, 50 speak both English and Hindi and 30 speak English but not Hindi. If all the people speak at least one of the two languages, how many speak English?

In a group of 400 people, 250 can speak Punjabi and 200 can speak English. How many people can speak only English?

In a group of 70 people 45 speak Hindi language and 33 speak English language and 10 speak neither Hindi nor English how many can speak both English as well as Hindi language how can speak only English language?

In a group of 400 people, 250 can speak Hindi and 200 can speak English. How many people can speak both Hindi and English?

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.

In a group of 60 people, 27 like cold drinks and 42 like hot drinks and each person likes at least one of the two drinks. How many like both hot drinks and cold drinks?

In a group of 1000 people, there are 750 who can speak Hindi and 400 who can speak Bengali. How many can speak Hindi only? How many can speak Bengali only? How many can speak both Hindi and Bengali?

In a class of 35 students, 24 like to play cricket and 16 like to play football. Also, each student likes to play at least one of the two games. How many students like to play both cricket and football ?

In a group of 70 people, 37 like coffee, 52 like tea and each person likes at least one of the two drinks. How many people like both coffee and tea?

PSEB-SETS-EXERCISE
  1. In a group of 70 people, 37 like coffee, 52 like tea and each person l...

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  2. In a group of 65 people, 40 like cricket, 10 like both cricket and ten...

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  3. In a committee, 50 people speak French, 20 speak Spanish and 10 speak ...

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  4. Decide, among the following sets, which sets are subsets of one and an...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. 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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