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Question:  There are 45 members in a group. 9 members have shoes but no hats. 18 members have shoes. How many members are there who have only hats? a)12 b) 19 c) 27 d) 18

Answer: d)18.

no. of members who have both hats and shoes=
18 - 9 = 9

no. of members who have hats = 45 - 18 = 27

no. of members who have hats only hats = 27 - 9 = 18.


June 06, 2008 11:02:12 #8
 rajani_vaddepalli15   Member Since: June 2008    Total Comments: 18 

RE: There are 45 members in a group. 9 members have shoes but no hats. 18 members have shoes. How many members are there who have only hats? a)12 b) 19 c) 27 d) 18
 
use the venn diagrams formulae : A union B = A + B - A intersection B
where AUB=45 (total)
           no.of people who've shoes A=18
           no.of people who've hats B=?
           no.of people who've only shoes but not hats A-B = 9
           no.of people who've shoes and hats A n B = 9
           no.of people who've only hats but not shoes B-A = ?
apply formula
   45=18+B-9
=> B=36
=> B-A= 36-9
           =27
  Ans:c
     

 

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