Thursday 16 July 2015

QUESTION PAPER [MATHS]                                             CLASS 11 [SETS]                          M.M-25
                                             [ NCERT BASED]                   TIME-40 MIN




1. Write the following set in set builder form- (4)
(a){2, 4, 6 …}    (b){3, 6, 12)

2. List all the element of the following set- (4)
(a) A= {x:x  is an odd number}
(b) B= {x:x  is an integer, x2≤4}

3. Let A, B and C is three sets. If A belongs to B and B ᴄ C, it is true that A ᴄ C, If not give an example?  (2)

4. Draw a Venn diagram of ( A Ç B )’?  (2)

5. Assume that P ( A )= P ( B ). Show that A=B?  (3)

6. Is it true that for any set A and B, P ( A ) Ç P ( B ) = P ( A Ç B ) ? Justify your answer.  (3)

7. Let A and B be a set. If A  Ç X = B Ç X = Ø and A È X = B È X for the same set X , show that A = B.   (3)

8.In a survey of 60 people, it was found that 25 people read newspaper H, 26 read newspaper I, 26 read newspaper T, 9 read both H and I, 11 read both H and T, 8 read both T and I, 3 read all the newspapers. Find-       (4)
(a) the no. of people who read at least one newspaper.
(b)the no. of people who read exactly one newspaper.

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