svprecise 11th maths sets

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SVPrecise_11  _Maths_Sets

1) Prove the De-Morgan’s De-Morgan’s laws, i.e. for two sets A and B. Prove that a. (A  )’ = A’   b. (A   = A’   2) For any two sets A and B, prove that A           3) Let A and B be sets, if A   X = B  X =  and A  X = B  X for some set x, then prove that A = B. 4) For any two sets A and B prove that: P(A  B) = P(A)    5) or two sets A and B, prove that: a. A - B = A  B’ b. B - A=B  A’ c. A – B  – B = A       d. (A - B)       e. (A - B)     f. A    B’   g. (A-B)                 ) 6) Using properties of sets, for any two sets A and B prove that:                       a. (  b.              c.            7) A survey shows that 63% of the Americans like cheese whereas 76% like apples. If x% of the Americans like both cheese and apples, find the value of x. (Ans:      8) A market research group conducted a survey of 2000 consumers and reported that 1720 consumers liked product P1 and 1450 consumers liked product P2. What is the least number that must have liked both the products? (   9) Let  be the universal un iversal set containing 700 elements. If A, B are subsets of  such that n(A)=200, n(B)=300 and n(    . Then find n(    (Ans: 300) 10) If A and B are two sets such that n(A)=115, n(B)=326, n(A-B)=47, then write n(    ) (Ans.:373) 11) Choose the false one and justify. a.          b.           c.          d.             12) Draw the venn diagram to represent the union and intersection of the given sets: a. Let } i.    {             } ii.   {         } iii.   {       b. Let i.   { }         } ii.   { iii.   {    } 4 13) An ice cream shop owner surveys 200 people who eat chocolate and vanilla ice cream. If 15 like both flavors and 196 people like vanilla, how many people like chocolate?       {} 14) Write two sets A and B such that      {}  Feel MATHEmegic with A. K. Sahil.